Disney BSSRDF, sample scattering profile, upper

Time bar (total: 9.2s)

analyze35.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
50%0.1%0.1%99.9%0%0%0%3
50%0.1%0.1%99.9%0%0%0%4
75%0.1%0%99.9%0%0%0%5
75%0.1%0%99.9%0%0%0%6
87.5%0.1%0%99.9%0%0%0%7
87.5%0.1%0%99.9%0%0%0%8
93.8%0.1%0%99.9%0%0%0%9
93.8%0.1%0%99.9%0%0%0%10
96.9%0.1%0%99.9%0%0%0%11
96.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 22 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 4.0ms (23.9% of total)
ival-mult: 4.0ms (23.9% of total)
ival-sub: 3.0ms (17.9% of total)
ival-<=: 3.0ms (17.9% of total)
ival-log: 2.0ms (11.9% of total)
ival-and: 1.0ms (6% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (17.2%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 748.0ms
ival-mult: 168.0ms (22.5% of total)
ival-div: 141.0ms (18.8% of total)
ival-log: 128.0ms (17.1% of total)
ival-<=: 126.0ms (16.8% of total)
ival-sub: 124.0ms (16.6% of total)
ival-and: 35.0ms (4.7% of total)
const: 25.0ms (3.3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess191.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
2406×fnmadd-define
1644×fmsub-define
1638×fnmsub-define
1598×fma-define
1422×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
03282
19565
224860
358255
4119854
5287854
6469854
7603854
8682954
9708254
10718854
11731654
12739354
13741754
01313
13111
26210
313010
424010
53279
64749
76369
87899
98609
1010099
1110139
1210169
010169
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
Outputs
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
Call 2
Inputs
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(* (* 3 (neg s)) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(* (* 3 s) (log (/ 1 (- 1 (/ (- (neg u) 1/4) 3/4)))))
(neg (* (* 3 (neg s)) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))))
(neg (* (* 3 s) (log (/ 1 (- 1 (/ (- (neg u) 1/4) 3/4))))))
(* (* 3 u) (log (/ 1 (- 1 (/ (- s 1/4) 3/4)))))
Outputs
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(* (* s -3) (log (fnmsub u 4/3 -4/3)))
(* (* 3 (neg s)) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(* (* 3 s) (log (fnmsub u 4/3 -4/3)))
(* (* 3 s) (log (/ 1 (- 1 (/ (- (neg u) 1/4) 3/4)))))
(* (* s -3) (log (fnmsub u -4/3 -4/3)))
(neg (* (* 3 (neg s)) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))))
(* (* s -3) (log (fnmsub u 4/3 -4/3)))
(neg (* (* 3 s) (log (/ 1 (- 1 (/ (- (neg u) 1/4) 3/4))))))
(* (* 3 s) (log (fnmsub u -4/3 -4/3)))
(* (* 3 u) (log (/ 1 (- 1 (/ (- s 1/4) 3/4)))))
(* (log (fnmsub s 4/3 -4/3)) (* u -3))
Symmetry

(negabs s)

explain134.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-6(4.950306902173907e-7 0.2618989944458008)(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))
11(9.536642309182497e-16 0.9999436736106873)1(2.706274926822516e-6 0.9922263026237488)(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))
00-0-#s(literal 3 binary32)
00-0-(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))
00-0-s
00-0-u
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(-.f32 u #s(literal 1/4 binary32))
00-0-(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))
00-0-#s(literal 1 binary32)
00-0-#s(literal 1/4 binary32)
Results
81.0ms512×0valid
Compiler

Compiled 136 to 41 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 9.0ms (28.6% of total)
ival-log: 8.0ms (25.4% of total)
ival-mult: 8.0ms (25.4% of total)
ival-sub: 5.0ms (15.9% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.9%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
▶96.5%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify32.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 3 binary32) s)
✓cost-diff32
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))
✓cost-diff32
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
✓cost-diff64
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))
✓cost-diff0
(/.f32 u #s(literal -3/4 binary32))
✓cost-diff0
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
✓cost-diff0
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓cost-diff0
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
Rules
360×sum3-define
360×fma-define
192×fma-lowering-fma.f32
192×fma-lowering-fma.f64
172×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02283
14981
29481
316477
427477
535870
650570
766770
882070
989170
10104070
11104470
12104770
0104770
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
1/3
(/ u -3/4)
u
-3/4
(* s -3)
s
-3
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(* 3 s)
3
s
(log (/ 1 (- 1 (/ (- u 1/4) 3/4))))
(/ 1 (- 1 (/ (- u 1/4) 3/4)))
1
(- 1 (/ (- u 1/4) 3/4))
(/ (- u 1/4) 3/4)
(- u 1/4)
u
1/4
3/4
Outputs
(* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(log (+ 1 (+ 1/3 (/ u -3/4))))
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(+ 1/3 (/ u -3/4))
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
1/3
#s(literal 1/3 binary32)
(/ u -3/4)
(/.f32 u #s(literal -3/4 binary32))
u
-3/4
#s(literal -3/4 binary32)
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
3
#s(literal 3 binary32)
s
(log (/ 1 (- 1 (/ (- u 1/4) 3/4))))
(neg.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(/ 1 (- 1 (/ (- u 1/4) 3/4)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
1
#s(literal 1 binary32)
(- 1 (/ (- u 1/4) 3/4))
(+.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
(/ (- u 1/4) 3/4)
(+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1/3 binary32))
(- u 1/4)
(+.f32 u #s(literal -1/4 binary32))
u
1/4
#s(literal 1/4 binary32)
3/4
#s(literal 3/4 binary32)

localize135.0ms (1.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
✓accuracy98.5%
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))
✓accuracy96.8%
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))
✓accuracy100.0%
(*.f32 s #s(literal -3 binary32))
✓accuracy99.0%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
✓accuracy98.7%
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓accuracy97.4%
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
Results
98.0ms256×0valid
Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log: 10.0ms (21.1% of total)
ival-mult: 9.0ms (19% of total)
compiled-spec: 9.0ms (19% of total)
ival-div: 8.0ms (16.9% of total)
...c/correct-round.rkt:119:19: 4.0ms (8.4% of total)
ival-add: 3.0ms (6.3% of total)
ival-sub: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.9%)

Counts
10 → 144
Calls
Call 1
Inputs
#<alt (* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))>
#<alt (log (+ 1 (+ 1/3 (/ u -3/4))))>
#<alt (+ 1/3 (/ u -3/4))>
#<alt (/ u -3/4)>
#<alt (- 1 (/ (- u 1/4) 3/4))>
#<alt (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))>
#<alt (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))>
#<alt (* 3 s)>
#<alt (* s -3)>
#<alt (/ 1 (- 1 (/ (- u 1/4) 3/4)))>
Outputs
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt 4/3>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))>
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))>
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (log 3/4)>
#<alt (+ u (log 3/4))>
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))>
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))>
#<alt (+ (log -3/4) (log (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))>
#<alt (+ (log 3/4) (log (/ -1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt 3/4>
#<alt (+ 3/4 (* 3/4 u))>
#<alt (+ 3/4 (* u (+ 3/4 (* 3/4 u))))>
#<alt (+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))>
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))>
Calls

36 calls:

TimeVariablePointExpression
48.0ms
s
@0
(* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))
23.0ms
s
@0
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
2.0ms
u
@inf
(/ u -3/4)
1.0ms
u
@-inf
(* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))
1.0ms
s
@inf
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))

rewrite254.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1888×sum4-define
1688×sum3-define
1614×fma-lowering-fma.f32
1614×fma-lowering-fma.f64
1588×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02264
17458
220151
360051
4145851
5366851
0828451
Stop Event
1×iter limit
1×node limit
Counts
10 → 609
Calls
Call 1
Inputs
(* (log (+ 1 (+ 1/3 (/ u -3/4)))) (* s -3))
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
(/ u -3/4)
(- 1 (/ (- u 1/4) 3/4))
(* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))))
(log (/ 1 (- 1 (/ (- u 1/4) 3/4))))
(* 3 s)
(* s -3)
(/ 1 (- 1 (/ (- u 1/4) 3/4)))
Outputs
(neg.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(+.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
(+.f32 (*.f32 (log.f32 #s(literal -1 binary32)) (*.f32 s #s(literal -3 binary32))) (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32))) (*.f32 (log.f32 #s(literal -1 binary32)) (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 (log1p.f32 (neg.f32 u)) (*.f32 s #s(literal -3 binary32))) (*.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 s #s(literal -3 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(fma.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 0 binary32))
(fma.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 #s(literal -3 binary32) (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 0 binary32))
(fma.f32 #s(literal 3 binary32) (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 0 binary32))
(fma.f32 #s(literal 3 binary32) (*.f32 s (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 #s(literal 3 binary32) (*.f32 s (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal -1 binary32))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 0 binary32))
(fma.f32 (*.f32 s #s(literal 3 binary32)) #s(literal 0 binary32) (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))))
(fma.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal -1 binary32)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 s #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(fma.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1 binary32) (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(fma.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32)) (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))))
(fma.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal 3 binary32))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal 3 binary32))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32) #s(literal 0 binary32))
(fma.f32 (log.f32 #s(literal -1 binary32)) (*.f32 s #s(literal 3 binary32)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (log.f32 #s(literal -1 binary32)) (*.f32 s #s(literal -3 binary32)) (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32))))
(fma.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) (*.f32 s #s(literal -3 binary32))))
(fma.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s #s(literal 0 binary32))
(fma.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 s #s(literal 3 binary32)) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 s #s(literal 3 binary32)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (neg.f32 s) (*.f32 #s(literal 3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 0 binary32))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal 0 binary32))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
(fma.f32 (*.f32 #s(literal 3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (neg.f32 s) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (neg.f32 u)) (*.f32 s #s(literal -3 binary32)) (*.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 s #s(literal -3 binary32))))
(fma.f32 (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32))) s (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) s (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))) s (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (*.f32 s (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))))
(fma.f32 (*.f32 s (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))
(fma.f32 (*.f32 s (log.f32 #s(literal -1 binary32))) #s(literal 3 binary32) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(fma.f32 (neg.f32 (*.f32 s #s(literal -3 binary32))) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 0 binary32))
(-.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(-.f32 (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))) (*.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 s #s(literal 3 binary32))))
(-.f32 (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))))
(*.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(*.f32 #s(literal -3 binary32) (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 s #s(literal 3 binary32)))
(*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 s #s(literal -3 binary32))))
(*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1 binary32) (*.f32 s #s(literal -3 binary32))))
(*.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32))) #s(literal 1 binary32))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -1 binary32))
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
(*.f32 (neg.f32 s) (*.f32 #s(literal 3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(*.f32 (*.f32 #s(literal 3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (neg.f32 s))
(*.f32 (neg.f32 (*.f32 s #s(literal -3 binary32))) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(*.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(neg.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(+.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal 0 binary32))
(+.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (fma.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (fma.f32 #s(literal 1 binary32) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))))
(+.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (log.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) (*.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))))
(+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))
(+.f32 (log1p.f32 (neg.f32 u)) (*.f32 #s(literal 1 binary32) (log.f32 #s(literal 4/3 binary32))))
(+.f32 (log1p.f32 (neg.f32 u)) (+.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32)))
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(fma.f32 (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))
(fma.f32 (log1p.f32 (neg.f32 u)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal -1 binary32)))
(-.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32))))
(-.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 #s(literal 3/4 binary32)) (log1p.f32 (neg.f32 u)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))) (log.f32 #s(literal 4/3 binary32)))
(-.f32 (neg.f32 (log.f32 (+.f32 u #s(literal -1 binary32)))) (log.f32 #s(literal -4/3 binary32)))
(-.f32 (log.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (log.f32 #s(literal -4/3 binary32)))
(-.f32 (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))))) (log.f32 #s(literal 4/3 binary32)))
(-.f32 (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))))) (log.f32 #s(literal 4/3 binary32)))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -1 binary32))) (log.f32 #s(literal 4/3 binary32)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(*.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal -1 binary32))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 s #s(literal 3 binary32))
(*.f32 #s(literal 3 binary32) s)
(neg.f32 (*.f32 s #s(literal 3 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 s #s(literal -3 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32)))
(*.f32 s #s(literal -3 binary32))
(*.f32 #s(literal -3 binary32) s)
(*.f32 #s(literal 3 binary32) (neg.f32 s))
(*.f32 (*.f32 s #s(literal 3 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 s #s(literal 3 binary32)))
(*.f32 (neg.f32 s) #s(literal 3 binary32))
(neg.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal -1 binary32))
(pow.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) (log.f32 (exp.f32 #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal -1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(pow.f32 (exp.f32 (log.f32 (exp.f32 #s(literal -1 binary32)))) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32))
(fma.f32 #s(literal 3/4 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal 3/4 binary32) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 4/3 binary32)))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))))
(/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))
(/.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -4/3 binary32)))
(/.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal 4/3 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -4/3 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))) #s(literal -4/3 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32)))) #s(literal 4/3 binary32))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32)))) #s(literal 4/3 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal 4/3 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 #s(literal 4/3 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal 3/4 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) (pow.f32 (exp.f32 (log.f32 #s(literal 4/3 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) (exp.f32 (*.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -3/4 binary32))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 4/3 binary32)))))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (exp.f32 (log.f32 #s(literal 3/4 binary32))))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (log.f32 #s(literal 4/3 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 4/3 binary32)))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 4/3 binary32)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 1 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal -1 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal -1 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal 3/4 binary32))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32)))) #s(literal -1 binary32)) #s(literal 3/4 binary32))
(*.f32 (pow.f32 (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 4/3 binary32)))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal -3/4 binary32) (-.f32 #s(literal 1 binary32) u)))

simplify292.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
2246×fma-lowering-fma.f32
2246×fma-lowering-fma.f64
2136×+-lowering-+.f64
2136×+-lowering-+.f32
2132×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02151278
16431161
219471139
365611139
080391139
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
4/3
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(* 3 (* s (log 3/4)))
(+ (* 3 (* s u)) (* 3 (* s (log 3/4))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* 3 (* s (+ (log -3/4) (log (/ 1 u)))))
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* 3 (* s (+ (log 3/4) (log (/ -1 u)))))
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(log 3/4)
(+ u (log 3/4))
(+ (log 3/4) (* u (+ 1 (* 1/2 u))))
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))
(+ (log -3/4) (log (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))
(+ (log 3/4) (log (/ -1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
3/4
(+ 3/4 (* 3/4 u))
(+ 3/4 (* u (+ 3/4 (* 3/4 u))))
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))
Outputs
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 u (*.f32 s (+.f32 (*.f32 u #s(literal 3/2 binary32)) #s(literal 3 binary32)))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+.f32 (*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u))) (*.f32 (*.f32 s (*.f32 u u)) (+.f32 u #s(literal 3/2 binary32))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (/.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (+.f32 (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))) (/.f32 s (*.f32 u (*.f32 u u)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (+.f32 (*.f32 s #s(literal 3 binary32)) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) u))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(-.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (+.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (-.f32 (*.f32 s #s(literal -3/2 binary32)) (/.f32 s u)) u)) u))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
(+ (log 4/3) (* -1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) u)
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/2 binary32)))))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal -1/2 binary32) (*.f32 u #s(literal -1/3 binary32)))))))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 #s(literal -1 binary32) u)))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+.f32 (log.f32 u) (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u)))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+.f32 (log.f32 u) (+.f32 (log.f32 #s(literal -4/3 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u)))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal -1 binary32) u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(-.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -4/3 u))
(+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* -4/3 u))
(+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* -4/3 u))
(+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
4/3
#s(literal 4/3 binary32)
(+ 4/3 (* -4/3 u))
(+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 4/3 (* -4/3 u))
(+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 4/3 (* -4/3 u))
(+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log (/ 1 (- 1 (* 4/3 (- u 1/4)))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 (*.f32 u #s(literal -4/3 binary32)) #s(literal 1/3 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(+ (* 3 (* s u)) (* 3 (* s (log 3/4))))
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+.f32 (*.f32 u (*.f32 s (+.f32 (*.f32 u #s(literal 3/2 binary32)) #s(literal 3 binary32)))) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32)))) (*.f32 (*.f32 s (*.f32 u u)) (+.f32 u #s(literal 3/2 binary32))))
(* 3 (* s (+ (log -3/4) (log (/ 1 u)))))
(*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)))
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal 3 binary32) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)))))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))
(+.f32 (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))) (*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u))))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(+.f32 (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))) (+.f32 (/.f32 s (*.f32 u (*.f32 u u))) (*.f32 (*.f32 s #s(literal 3 binary32)) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)))))
(* 3 (* s (+ (log 3/4) (log (/ -1 u)))))
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 #s(literal 3/4 binary32))))
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal 3 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 #s(literal 3/4 binary32))))))
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(+.f32 (/.f32 (+.f32 (*.f32 s #s(literal 3 binary32)) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) u) (*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 #s(literal 3/4 binary32)))))
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(-.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 #s(literal 3/4 binary32)))) (/.f32 (+.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (-.f32 (*.f32 s #s(literal -3/2 binary32)) (/.f32 s u)) u)) u))
(log 3/4)
(log.f32 #s(literal 3/4 binary32))
(+ u (log 3/4))
(+.f32 u (log.f32 #s(literal 3/4 binary32)))
(+ (log 3/4) (* u (+ 1 (* 1/2 u))))
(+.f32 (log.f32 #s(literal 3/4 binary32)) (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal 1/2 binary32)))))
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))
(+.f32 (log.f32 #s(literal 3/4 binary32)) (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal 1/3 binary32)))))))
(+ (log -3/4) (log (/ 1 u)))
(-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u))
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))
(+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (log.f32 #s(literal -3/4 binary32)) (log.f32 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+.f32 (log.f32 #s(literal -3/4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (log.f32 u))))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))
(+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u u)) (log.f32 u)) (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (log.f32 #s(literal -3/4 binary32)))))
(+ (log 3/4) (log (/ -1 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 #s(literal 3/4 binary32)))
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))
(+.f32 (log.f32 #s(literal 3/4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (log.f32 (/.f32 #s(literal -1 binary32) u))))
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (log.f32 #s(literal 3/4 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1/2 binary32) (*.f32 u u)))))
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (-.f32 (log.f32 #s(literal 3/4 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u)))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
(* -3 s)
(*.f32 #s(literal -3 binary32) s)
3/4
#s(literal 3/4 binary32)
(+ 3/4 (* 3/4 u))
(+.f32 #s(literal 3/4 binary32) (*.f32 u #s(literal 3/4 binary32)))
(+ 3/4 (* u (+ 3/4 (* 3/4 u))))
(+.f32 #s(literal 3/4 binary32) (*.f32 u (+.f32 #s(literal 3/4 binary32) (*.f32 u #s(literal 3/4 binary32)))))
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))
(*.f32 (+.f32 (*.f32 u u) #s(literal 1 binary32)) (+.f32 #s(literal 3/4 binary32) (*.f32 u #s(literal 3/4 binary32))))
(/ -3/4 u)
(/.f32 #s(literal -3/4 binary32) u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) u)
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) u)) u)
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)
(/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) u)) u)) u)
(/ -3/4 u)
(/.f32 #s(literal -3/4 binary32) u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) u)
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/4 binary32) u) (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u u)))) u))
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))
(/.f32 (-.f32 #s(literal 3/4 binary32) (/.f32 (+.f32 #s(literal -3/4 binary32) (/.f32 (-.f32 #s(literal -3/4 binary32) (/.f32 #s(literal 3/4 binary32) u)) u)) u)) (neg.f32 u))

eval67.0ms (0.7%)

Compiler

Compiled 10565 to 1940 computations (81.6% saved)

prune97.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New73221753
Fresh000
Picked112
Done000
Total73322755
Accuracy
99.8%
Counts
755 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
95.2%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
97.3%
(*.f32 (-.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
95.4%
(*.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal 1 binary32)))) (*.f32 s #s(literal -3 binary32)))
96.4%
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
96.2%
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
25.9%
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
96.2%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
95.9%
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))))))
95.6%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -4/3 binary32))))
96.1%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
▶94.4%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
7.4%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
96.6%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
▶98.2%
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
97.9%
(*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3/4 binary32) (+.f32 u #s(literal -1/4 binary32))))) (*.f32 s #s(literal -3 binary32)))
✓96.5%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
▶97.9%
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
▶96.7%
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
18.1%
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
94.9%
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
▶7.4%
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
Compiler

Compiled 544 to 442 computations (18.8% saved)

simplify115.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 3 binary32) s)
✓cost-diff0
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
✓cost-diff64
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))
✓cost-diff0
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))
✓cost-diff0
(log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))
✓cost-diff0
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
✓cost-diff64
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
✓cost-diff0
(-.f32 #s(literal 1/4 binary32) u)
✓cost-diff0
(*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))
✓cost-diff0
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))
✓cost-diff0
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
✓cost-diff0
(log.f32 #s(literal 3/4 binary32))
✓cost-diff0
(*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
✓cost-diff0
(-.f32 #s(literal 1/4 binary32) u)
✓cost-diff0
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))
✓cost-diff0
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
Rules
626×fma-define
584×sum3-define
358×fma-lowering-fma.f32
358×fma-lowering-fma.f64
300×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036167
187167
2183167
3286148
4447148
5549148
6744148
71003148
81322148
91497148
101720148
111741148
121754148
131766148
141777148
01777148
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (log (+ 1 (/ (- 1/4 u) 3/4))) (* s -3))
(log (+ 1 (/ (- 1/4 u) 3/4)))
(/ (- 1/4 u) 3/4)
(- 1/4 u)
1/4
u
3/4
(* s -3)
s
-3
(* s (* 3 (log 3/4)))
s
(* 3 (log 3/4))
3
(log 3/4)
3/4
(* (log (+ 1 (* (- 1/4 u) 4/3))) (* s -3))
(log (+ 1 (* (- 1/4 u) 4/3)))
(* (- 1/4 u) 4/3)
(- 1/4 u)
1/4
u
4/3
(* s -3)
s
-3
(* (log (+ 1 (* u (+ -4/3 (/ 1/3 u))))) (* s -3))
(log (+ 1 (* u (+ -4/3 (/ 1/3 u)))))
(* u (+ -4/3 (/ 1/3 u)))
u
(+ -4/3 (/ 1/3 u))
-4/3
(/ 1/3 u)
1/3
(* s -3)
s
-3
(* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))
(* 3 s)
3
s
(log (/ 1 (* u (+ -4/3 (/ 4/3 u)))))
(/ 1 (* u (+ -4/3 (/ 4/3 u))))
1
(* u (+ -4/3 (/ 4/3 u)))
u
(+ -4/3 (/ 4/3 u))
-4/3
(/ 4/3 u)
4/3
Outputs
(* (log (+ 1 (/ (- 1/4 u) 3/4))) (* s -3))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(log (+ 1 (/ (- 1/4 u) 3/4)))
(log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32))))
(/ (- 1/4 u) 3/4)
(-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
(- 1/4 u)
(-.f32 #s(literal 1/4 binary32) u)
1/4
#s(literal 1/4 binary32)
u
3/4
#s(literal 3/4 binary32)
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(* s (* 3 (log 3/4)))
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32))))
s
(* 3 (log 3/4))
(*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))
3
#s(literal 3 binary32)
(log 3/4)
(log.f32 #s(literal 3/4 binary32))
3/4
#s(literal 3/4 binary32)
(* (log (+ 1 (* (- 1/4 u) 4/3))) (* s -3))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(log (+ 1 (* (- 1/4 u) 4/3)))
(log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32))))
(* (- 1/4 u) 4/3)
(-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
(- 1/4 u)
(-.f32 #s(literal 1/4 binary32) u)
1/4
#s(literal 1/4 binary32)
u
4/3
#s(literal 4/3 binary32)
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(* (log (+ 1 (* u (+ -4/3 (/ 1/3 u))))) (* s -3))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(log (+ 1 (* u (+ -4/3 (/ 1/3 u)))))
(log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32))))
(* u (+ -4/3 (/ 1/3 u)))
(-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
u
(+ -4/3 (/ 1/3 u))
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))
-4/3
#s(literal -4/3 binary32)
(/ 1/3 u)
(/.f32 #s(literal 1/3 binary32) u)
1/3
#s(literal 1/3 binary32)
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
3
#s(literal 3 binary32)
s
(log (/ 1 (* u (+ -4/3 (/ 4/3 u)))))
(log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(/ 1 (* u (+ -4/3 (/ 4/3 u))))
(/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))
1
#s(literal 1 binary32)
(* u (+ -4/3 (/ 4/3 u)))
(-.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
u
(+ -4/3 (/ 4/3 u))
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))
-4/3
#s(literal -4/3 binary32)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
4/3
#s(literal 4/3 binary32)

localize205.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
✓accuracy98.8%
(/.f32 #s(literal 4/3 binary32) u)
✓accuracy96.8%
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
✓accuracy96.7%
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))
✓accuracy99.0%
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
✓accuracy98.8%
(/.f32 #s(literal 1/3 binary32) u)
✓accuracy98.7%
(log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))))
✓accuracy96.9%
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u))
✓accuracy100.0%
(*.f32 s #s(literal -3 binary32))
✓accuracy99.0%
(*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))
✓accuracy99.0%
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
✓accuracy98.7%
(log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))
✓accuracy100.0%
(log.f32 #s(literal 3/4 binary32))
✓accuracy99.5%
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
✓accuracy96.9%
(*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32)))
✓accuracy100.0%
(-.f32 #s(literal 1/4 binary32) u)
✓accuracy100.0%
(*.f32 s #s(literal -3 binary32))
✓accuracy99.0%
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓accuracy98.7%
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))
Results
154.0ms256×0valid
Compiler

Compiled 182 to 34 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 20.0ms (22.7% of total)
ival-log: 16.0ms (18.2% of total)
compiled-spec: 16.0ms (18.2% of total)
...c/correct-round.rkt:119:19: 15.0ms (17% of total)
ival-div: 9.0ms (10.2% of total)
ival-add: 8.0ms (9.1% of total)
ival-sub: 2.0ms (2.3% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series135.0ms (1.5%)

Counts
23 → 300
Calls
Call 1
Inputs
#<alt (* (log (+ 1 (/ (- 1/4 u) 3/4))) (* s -3))>
#<alt (log (+ 1 (/ (- 1/4 u) 3/4)))>
#<alt (/ (- 1/4 u) 3/4)>
#<alt (- 1/4 u)>
#<alt (* s (* 3 (log 3/4)))>
#<alt (* 3 (log 3/4))>
#<alt (log 3/4)>
#<alt (* (log (+ 1 (* (- 1/4 u) 4/3))) (* s -3))>
#<alt (log (+ 1 (* (- 1/4 u) 4/3)))>
#<alt (* (- 1/4 u) 4/3)>
#<alt (* u (+ -4/3 (/ 1/3 u)))>
#<alt (* (log (+ 1 (* u (+ -4/3 (/ 1/3 u))))) (* s -3))>
#<alt (log (+ 1 (* u (+ -4/3 (/ 1/3 u)))))>
#<alt (+ -4/3 (/ 1/3 u))>
#<alt (/ 1 (* u (+ -4/3 (/ 4/3 u))))>
#<alt (* u (+ -4/3 (/ 4/3 u)))>
#<alt (* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))>
#<alt (* 3 s)>
#<alt (* s -3)>
#<alt (/ 1/3 u)>
#<alt (+ -4/3 (/ 4/3 u))>
#<alt (log (/ 1 (* u (+ -4/3 (/ 4/3 u)))))>
#<alt (/ 4/3 u)>
Outputs
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt (/ 1/3 u)>
#<alt (/ (+ 1/3 (* -4/3 u)) u)>
#<alt (/ (+ 1/3 (* -4/3 u)) u)>
#<alt (/ (+ 1/3 (* -4/3 u)) u)>
#<alt -4/3>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt -4/3>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt (- (* 1/3 (/ 1 u)) 4/3)>
#<alt 3/4>
#<alt (+ 3/4 (* 3/4 u))>
#<alt (+ 3/4 (* u (+ 3/4 (* 3/4 u))))>
#<alt (+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))>
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))>
#<alt 4/3>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))>
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))>
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 1/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ (+ 4/3 (* -4/3 u)) u)>
#<alt (/ (+ 4/3 (* -4/3 u)) u)>
#<alt (/ (+ 4/3 (* -4/3 u)) u)>
#<alt -4/3>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt -4/3>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt (- (* 4/3 (/ 1 u)) 4/3)>
#<alt (log 3/4)>
#<alt (+ u (log 3/4))>
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))>
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))>
#<alt (+ (log -3/4) (log (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))>
#<alt (+ (log 3/4) (log (/ -1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
#<alt (/ 4/3 u)>
Calls

75 calls:

TimeVariablePointExpression
46.0ms
s
@0
(* (log (+ 1 (/ (- 1/4 u) 3/4))) (* s -3))
32.0ms
s
@0
(* (log (+ 1 (* u (+ -4/3 (/ 1/3 u))))) (* s -3))
26.0ms
s
@0
(* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))
19.0ms
s
@0
(* s (* 3 (log 3/4)))
1.0ms
s
@inf
(* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))

rewrite309.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1888×fma-lowering-fma.f32
1888×fma-lowering-fma.f64
1760×+-lowering-+.f64
1760×+-lowering-+.f32
1640×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036134
1114134
2351115
31150115
42894115
57399115
08479115
Stop Event
1×iter limit
1×node limit
Counts
23 → 1313
Calls
Call 1
Inputs
(* (log (+ 1 (/ (- 1/4 u) 3/4))) (* s -3))
(log (+ 1 (/ (- 1/4 u) 3/4)))
(/ (- 1/4 u) 3/4)
(- 1/4 u)
(* s (* 3 (log 3/4)))
(* 3 (log 3/4))
(log 3/4)
(* (log (+ 1 (* (- 1/4 u) 4/3))) (* s -3))
(log (+ 1 (* (- 1/4 u) 4/3)))
(* (- 1/4 u) 4/3)
(* u (+ -4/3 (/ 1/3 u)))
(* (log (+ 1 (* u (+ -4/3 (/ 1/3 u))))) (* s -3))
(log (+ 1 (* u (+ -4/3 (/ 1/3 u)))))
(+ -4/3 (/ 1/3 u))
(/ 1 (* u (+ -4/3 (/ 4/3 u))))
(* u (+ -4/3 (/ 4/3 u)))
(* (* 3 s) (log (/ 1 (* u (+ -4/3 (/ 4/3 u))))))
(* 3 s)
(* s -3)
(/ 1/3 u)
(+ -4/3 (/ 4/3 u))
(log (/ 1 (* u (+ -4/3 (/ 4/3 u)))))
(/ 4/3 u)
Outputs
(neg.f32 (*.f32 (*.f32 s #s(literal 3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal 0 binary32))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (fma.f32 (neg.f32 (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))) s (*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
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(/.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -3 binary32))
(/.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) u))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) u))
(*.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/3 binary32) u))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) u))
(*.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1/3 binary32))
(*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))
(neg.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(exp.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))
(+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))
(+.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal -4/3 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
(pow.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 4/3 binary32) u) #s(literal -4/3 binary32))
(fma.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))
(fma.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -1 binary32) u) #s(literal -4/3 binary32))
(fma.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 1 binary32) #s(literal -4/3 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -4/3 binary32) u) #s(literal -4/3 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 4/3 binary32) #s(literal -4/3 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -4/3 binary32) #s(literal -4/3 binary32))
(fma.f32 (/.f32 #s(literal -4/3 binary32) u) #s(literal -1 binary32) #s(literal -4/3 binary32))
(-.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))
(-.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 4/3 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))
(/.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))))
(/.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))
(*.f32 #s(literal -4/3 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))
(*.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))
(*.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)) #s(literal -1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) #s(literal -4/3 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32)) #s(literal -4/3 binary32))
(neg.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 0 binary32))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 (neg.f32 (log.f32 u)) #s(literal 1 binary32) (log.f32 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 (log.f32 u) #s(literal -1 binary32) (log.f32 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 #s(literal -1 binary32) (log.f32 u) (log.f32 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 #s(literal 1 binary32) (neg.f32 (log.f32 u)) (log.f32 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) #s(literal -1 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) #s(literal 1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) #s(literal -1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (fma.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))))
(+.f32 (neg.f32 (log.f32 u)) (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(+.f32 (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) (neg.f32 (log.f32 u)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (*.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) #s(literal -1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (log.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))
(+.f32 (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(+.f32 (*.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(+.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) #s(literal 1 binary32)))) (fma.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 1 binary32) (*.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) (neg.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) #s(literal -1 binary32) (neg.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) (neg.f32 (*.f32 (log.f32 (neg.f32 u)) #s(literal 1 binary32)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32) (*.f32 (log.f32 (neg.f32 u)) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) (neg.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32)))) (fma.f32 (log.f32 (neg.f32 u)) #s(literal -1 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 0 binary32))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 u) (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (neg.f32 (log.f32 u)))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) (log.f32 #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(fma.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u)) (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))))
(fma.f32 (log.f32 u) #s(literal -1 binary32) (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(fma.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) #s(literal -1 binary32) (neg.f32 (log.f32 u)))
(fma.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)))
(fma.f32 (log.f32 (neg.f32 u)) #s(literal -1 binary32) (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(-.f32 (neg.f32 (log.f32 u)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))
(-.f32 (neg.f32 (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) (log.f32 u))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u))))
(-.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) (log.f32 #s(literal -1 binary32)))
(-.f32 (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))) (log.f32 (neg.f32 u)))
(-.f32 (-.f32 (neg.f32 (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -4/3 binary32) u)))) (log.f32 #s(literal -1 binary32))) (log.f32 u))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32))))) #s(literal 1 binary32))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) #s(literal -1 binary32))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(neg.f32 (/.f32 #s(literal -4/3 binary32) u))
(exp.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) u)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) u)) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 4/3 binary32) u))
(pow.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 1 binary32))
(pow.f32 (/.f32 u #s(literal 4/3 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 u #s(literal 4/3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -4/3 binary32) u))
(/.f32 #s(literal 1 binary32) (/.f32 u #s(literal 4/3 binary32)))
(/.f32 #s(literal 4/3 binary32) u)
(/.f32 #s(literal -4/3 binary32) (neg.f32 u))
(/.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 u #s(literal -4/3 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -3/4 binary32))
(/.f32 (/.f32 #s(literal -4/3 binary32) u) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 4/3 binary32) u))
(*.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -4/3 binary32) (/.f32 #s(literal -1 binary32) u))
(*.f32 (/.f32 #s(literal 4/3 binary32) u) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -4/3 binary32) u))
(*.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 4/3 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -4/3 binary32))
(*.f32 (/.f32 #s(literal -4/3 binary32) u) #s(literal -1 binary32))

simplify268.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2338×*-lowering-*.f32
2338×*-lowering-*.f64
2290×fma-lowering-fma.f32
2290×fma-lowering-fma.f64
2174×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02302691
16762510
220192430
367712430
080642430
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
1/4
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(* -1 u)
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* -1 u)
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(* -3 (* s (log (+ 1 (* u (- (* 1/3 (/ 1 u)) 4/3))))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(/ 1/3 u)
(/ (+ 1/3 (* -4/3 u)) u)
(/ (+ 1/3 (* -4/3 u)) u)
(/ (+ 1/3 (* -4/3 u)) u)
-4/3
(- (* 1/3 (/ 1 u)) 4/3)
(- (* 1/3 (/ 1 u)) 4/3)
(- (* 1/3 (/ 1 u)) 4/3)
-4/3
(- (* 1/3 (/ 1 u)) 4/3)
(- (* 1/3 (/ 1 u)) 4/3)
(- (* 1/3 (/ 1 u)) 4/3)
3/4
(+ 3/4 (* 3/4 u))
(+ 3/4 (* u (+ 3/4 (* 3/4 u))))
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))
4/3
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log (/ 1 (* u (- (* 4/3 (/ 1 u)) 4/3))))))
(* 3 (* s (log 3/4)))
(+ (* 3 (* s u)) (* 3 (* s (log 3/4))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* 3 (* s (+ (log -3/4) (log (/ 1 u)))))
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* 3 (* s (+ (log 3/4) (log (/ -1 u)))))
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 1/3 u)
(/ 4/3 u)
(/ (+ 4/3 (* -4/3 u)) u)
(/ (+ 4/3 (* -4/3 u)) u)
(/ (+ 4/3 (* -4/3 u)) u)
-4/3
(- (* 4/3 (/ 1 u)) 4/3)
(- (* 4/3 (/ 1 u)) 4/3)
(- (* 4/3 (/ 1 u)) 4/3)
-4/3
(- (* 4/3 (/ 1 u)) 4/3)
(- (* 4/3 (/ 1 u)) 4/3)
(- (* 4/3 (/ 1 u)) 4/3)
(log 3/4)
(+ u (log 3/4))
(+ (log 3/4) (* u (+ 1 (* 1/2 u))))
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))
(+ (log -3/4) (log (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))
(+ (log 3/4) (log (/ -1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
(/ 4/3 u)
Outputs
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 3/2 binary32)) #s(literal 3 binary32))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+.f32 (*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u))) (*.f32 (*.f32 s (+.f32 u #s(literal 3/2 binary32))) (*.f32 u u)))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (/.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (+.f32 (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))) (/.f32 s (*.f32 u (*.f32 u u)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (+.f32 (*.f32 s #s(literal 3 binary32)) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) u))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(-.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (+.f32 (*.f32 s #s(literal 3/2 binary32)) (/.f32 s u)) u)) u))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
(+ (log 4/3) (* -1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) u)
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/2 binary32)))))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal -1/2 binary32) (*.f32 u #s(literal -1/3 binary32)))))))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 #s(literal -1 binary32) u)))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u)) u)))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+.f32 (log.f32 u) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u) (log.f32 #s(literal -4/3 binary32))))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
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(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (log.f32 #s(literal 3/4 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1/2 binary32) (*.f32 u u)))))
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (-.f32 (log.f32 #s(literal 3/4 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)) u)) u)))
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)
(/ 4/3 u)
(/.f32 #s(literal 4/3 binary32) u)

eval127.0ms (1.4%)

Compiler

Compiled 25924 to 2514 computations (90.3% saved)

prune436.0ms (4.7%)

Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New1682141696
Fresh21416
Picked145
Done011
Total1685331718
Accuracy
100.0%
Counts
1718 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f32 (*.f32 s (log.f32 u)) #s(literal -3 binary32) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
95.4%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
94.1%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 u))))
94.2%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (neg.f32 (-.f32 (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 u))) #s(literal 0 binary32))))
95.4%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
94.6%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 u) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 u)))))
▶95.2%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
94.1%
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) s) (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 u)) s))
97.3%
(*.f32 (-.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
95.4%
(*.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal 1 binary32)))) (*.f32 s #s(literal -3 binary32)))
96.4%
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
96.2%
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
7.4%
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
25.9%
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
96.2%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
▶7.4%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
95.9%
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))))))
95.6%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -4/3 binary32))))
▶96.1%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
✓94.4%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
▶96.6%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
96.0%
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u) u (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
▶98.0%
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓98.2%
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
18.1%
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
97.9%
(*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
✓96.5%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
96.5%
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u)))) u)) (*.f32 s #s(literal -3 binary32)))
✓97.9%
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
✓96.7%
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
18.1%
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
94.9%
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
94.6%
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
Compiler

Compiled 906 to 702 computations (22.5% saved)

simplify160.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f32 (neg.f32 u))
✓cost-diff0
(*.f32 s #s(literal -3 binary32))
✓cost-diff0
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)))
✓cost-diff128
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
✓cost-diff0
(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32))))
✓cost-diff0
(*.f32 #s(literal 3 binary32) s)
✓cost-diff0
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))
✓cost-diff0
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
✓cost-diff0
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓cost-diff0
(*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
✓cost-diff0
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
✓cost-diff0
(log.f32 #s(literal 3/4 binary32))
✓cost-diff0
(*.f32 s #s(literal 3 binary32))
✓cost-diff0
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
✓cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32))
✓cost-diff0
(log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u)))
Rules
2454×fma-define
2314×fnmadd-define
1868×fma-lowering-fma.f32
1868×fma-lowering-fma.f64
1536×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040167
196165
2199165
3320165
4468156
5712156
61330156
71990156
82535156
93200156
106276156
117289156
08182156
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4))) (* s -3))
(log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4)))
(/ (/ 1 (/ 1 (- 1/4 u))) 3/4)
(/ 1 (/ 1 (- 1/4 u)))
1
(/ 1 (- 1/4 u))
(- 1/4 u)
1/4
u
3/4
(* s -3)
s
-3
(* (* s 3) (log 3/4))
(* s 3)
s
3
(log 3/4)
3/4
(* (* -3 (log (+ 1 (+ 1/3 (/ u -3/4))))) s)
(* -3 (log (+ 1 (+ 1/3 (/ u -3/4)))))
-3
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
1/3
(/ u -3/4)
u
-3/4
s
(* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))
(* 3 s)
3
s
(log (/ 1 (/ (- 1 u) 3/4)))
(/ 1 (/ (- 1 u) 3/4))
1
(/ (- 1 u) 3/4)
(- 1 u)
u
3/4
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))
(* (* s -3) (log (+ 1 (neg u))))
(* s -3)
s
-3
(log (+ 1 (neg u)))
(neg u)
u
(* (* s -3) (log 4/3))
(log 4/3)
4/3
Outputs
(* (log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4))) (* s -3))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4)))
(log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32))))
(/ (/ 1 (/ 1 (- 1/4 u))) 3/4)
(-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
(/ 1 (/ 1 (- 1/4 u)))
(-.f32 #s(literal 1/4 binary32) u)
1
#s(literal 1 binary32)
(/ 1 (- 1/4 u))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))
(- 1/4 u)
(-.f32 #s(literal 1/4 binary32) u)
1/4
#s(literal 1/4 binary32)
u
3/4
#s(literal 3/4 binary32)
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(* (* s 3) (log 3/4))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* s 3)
(*.f32 s #s(literal 3 binary32))
s
3
#s(literal 3 binary32)
(log 3/4)
(log.f32 #s(literal 3/4 binary32))
3/4
#s(literal 3/4 binary32)
(* (* -3 (log (+ 1 (+ 1/3 (/ u -3/4))))) s)
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(* -3 (log (+ 1 (+ 1/3 (/ u -3/4)))))
(*.f32 #s(literal -3 binary32) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
-3
#s(literal -3 binary32)
(log (+ 1 (+ 1/3 (/ u -3/4))))
(log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32))))
(+ 1/3 (/ u -3/4))
(-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
1/3
#s(literal 1/3 binary32)
(/ u -3/4)
(/.f32 u #s(literal -3/4 binary32))
u
-3/4
#s(literal -3/4 binary32)
s
(* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal 3/4 binary32)))))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
3
#s(literal 3 binary32)
s
(log (/ 1 (/ (- 1 u) 3/4)))
(log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(/ 1 (/ (- 1 u) 3/4))
(/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))
1
#s(literal 1 binary32)
(/ (- 1 u) 3/4)
(+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
u
3/4
#s(literal 3/4 binary32)
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))
(*.f32 (*.f32 s #s(literal -3 binary32)) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32))))
(* (* s -3) (log (+ 1 (neg u))))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)))
(* s -3)
(*.f32 s #s(literal -3 binary32))
s
-3
#s(literal -3 binary32)
(log (+ 1 (neg u)))
(log1p.f32 (neg.f32 u))
(neg u)
(neg.f32 u)
u
(* (* s -3) (log 4/3))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
4/3
#s(literal 4/3 binary32)

localize242.0ms (2.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)))
✓accuracy98.1%
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32)))
✓accuracy98.0%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
✓accuracy96.9%
(log.f32 #s(literal 4/3 binary32))
✓accuracy99.5%
(/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
✓accuracy96.8%
(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32))))
✓accuracy99.3%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
✓accuracy99.1%
(*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
✓accuracy98.7%
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓accuracy97.4%
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
✓accuracy100.0%
(*.f32 s #s(literal 3 binary32))
✓accuracy100.0%
(log.f32 #s(literal 3/4 binary32))
✓accuracy98.1%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
✓accuracy100.0%
(*.f32 s #s(literal -3 binary32))
✓accuracy99.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u)))
✓accuracy99.0%
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓accuracy98.7%
(log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32)))
Results
163.0ms256×0valid
Compiler

Compiled 195 to 38 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 23.0ms (22.3% of total)
ival-log: 21.0ms (20.4% of total)
compiled-spec: 21.0ms (20.4% of total)
ival-div: 13.0ms (12.6% of total)
ival-add: 9.0ms (8.7% of total)
...c/correct-round.rkt:119:19: 9.0ms (8.7% of total)
ival-sub: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series130.0ms (1.4%)

Counts
22 → 300
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (- 1/4 u)))>
#<alt (* (log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4))) (* s -3))>
#<alt (log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4)))>
#<alt (/ (/ 1 (/ 1 (- 1/4 u))) 3/4)>
#<alt (* (* s 3) (log 3/4))>
#<alt (* s 3)>
#<alt (log 3/4)>
#<alt (* (* -3 (log (+ 1 (+ 1/3 (/ u -3/4))))) s)>
#<alt (* -3 (log (+ 1 (+ 1/3 (/ u -3/4)))))>
#<alt (log (+ 1 (+ 1/3 (/ u -3/4))))>
#<alt (+ 1/3 (/ u -3/4))>
#<alt (/ 1 (/ (- 1 u) 3/4))>
#<alt (* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))>
#<alt (* 3 s)>
#<alt (log (/ 1 (/ (- 1 u) 3/4)))>
#<alt (+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))>
#<alt (* (* s -3) (log (+ 1 (neg u))))>
#<alt (* s -3)>
#<alt (log (+ 1 (neg u)))>
#<alt (/ (- 1 u) 3/4)>
#<alt (log 4/3)>
#<alt (* (* s -3) (log 4/3))>
Outputs
#<alt 1/4>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (log 4/3))>
#<alt (+ (* -3 (log 4/3)) (* 3 u))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))>
#<alt (* -3 (+ (log -4/3) (* -1 (log (/ 1 u)))))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))>
#<alt (* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt 3/4>
#<alt (+ 3/4 (* 3/4 u))>
#<alt (+ 3/4 (* u (+ 3/4 (* 3/4 u))))>
#<alt (+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)>
#<alt (/ -3/4 u)>
#<alt (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))>
#<alt (* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))>
#<alt (* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log (/ 3/4 (- 1 u)))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (+ (* 3 (* s u)) (* 3 (* s (log 3/4))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* 3 (* s (+ (log -3/4) (log (/ 1 u)))))>
#<alt (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))>
#<alt (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* 3 (* s (+ (log 3/4) (log (/ -1 u)))))>
#<alt (+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (* 3 s)>
#<alt (log 3/4)>
#<alt (+ u (log 3/4))>
#<alt (+ (log 3/4) (* u (+ 1 (* 1/2 u))))>
#<alt (+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))>
#<alt (+ (log -3/4) (log (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))>
#<alt (+ (log 3/4) (log (/ -1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))>
#<alt (+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))>
#<alt (* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))>
#<alt (* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))>
#<alt (* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))>
#<alt (* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (+ (* -3 (* s (log 4/3))) (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s (log (/ -1 u)))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* 3 (* s (log (/ -1 u)))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (log 4/3))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (log (/ -1 u))))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* -3 (* s (log (- 1 u))))>
#<alt (* 3 (* s u))>
#<alt (* u (+ (* 3/2 (* s u)) (* 3 s)))>
#<alt (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))>
#<alt (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* u (+ s (* 3/4 (* s u))))))))>
#<alt (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* 3 (* s (log (/ -1 u))))>
#<alt (+ (* 3 (* s (log (/ -1 u)))) (* 3 (/ s u)))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (log (/ -1 u)))))>
#<alt (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (log (/ -1 u)))))>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -1 u)>
#<alt (* u (- (* -1/2 u) 1))>
#<alt (* u (- (* u (- (* -1/3 u) 1/2)) 1))>
#<alt (* u (- (* u (- (* u (- (* -1/4 u) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (* -1 (log (/ -1 u)))>
#<alt (- (* -1 (log (/ -1 u))) (/ 1 u))>
#<alt (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))>
#<alt (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))>
#<alt 4/3>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (+ 4/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 4/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (* -3 (* s (log 4/3)))>
Calls

75 calls:

TimeVariablePointExpression
72.0ms
s
@0
(* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))
40.0ms
s
@0
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))
1.0ms
s
@inf
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))
0.0ms
s
@inf
(* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))
0.0ms
s
@-inf
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))

rewrite181.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1482×sum3-define
1294×sum4-define
1280×*-lowering-*.f32
1280×*-lowering-*.f64
1036×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040126
1139123
2418114
31165114
42908114
08087114
Stop Event
1×iter limit
1×node limit
Counts
22 → 943
Calls
Call 1
Inputs
(/ 1 (/ 1 (- 1/4 u)))
(* (log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4))) (* s -3))
(log (+ 1 (/ (/ 1 (/ 1 (- 1/4 u))) 3/4)))
(/ (/ 1 (/ 1 (- 1/4 u))) 3/4)
(* (* s 3) (log 3/4))
(* s 3)
(log 3/4)
(* (* -3 (log (+ 1 (+ 1/3 (/ u -3/4))))) s)
(* -3 (log (+ 1 (+ 1/3 (/ u -3/4)))))
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
(/ 1 (/ (- 1 u) 3/4))
(* (* 3 s) (log (/ 1 (/ (- 1 u) 3/4))))
(* 3 s)
(log (/ 1 (/ (- 1 u) 3/4)))
(+ (* (* s -3) (log (+ 1 (neg u)))) (* (* s -3) (log 4/3)))
(* (* s -3) (log (+ 1 (neg u))))
(* s -3)
(log (+ 1 (neg u)))
(/ (- 1 u) 3/4)
(log 4/3)
(* (* s -3) (log 4/3))
Outputs
(neg.f32 (+.f32 u #s(literal -1/4 binary32)))
(exp.f32 (log.f32 (-.f32 #s(literal 1/4 binary32) u)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (-.f32 #s(literal 1/4 binary32) u))))
(+.f32 #s(literal 1/4 binary32) (neg.f32 u))
(+.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 0 binary32))
(+.f32 (neg.f32 u) #s(literal 1/4 binary32))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/4 binary32) u))
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(exp.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32))))
(+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))
(+.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal 0 binary32))
(+.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
(+.f32 #s(literal 0 binary32) (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1/3 binary32))
(pow.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (E.f32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1/3 binary32))
(fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32))
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 1 binary32) #s(literal 4/3 binary32))
(fma.f32 (neg.f32 u) #s(literal 4/3 binary32) #s(literal 4/3 binary32))
(fma.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))
(fma.f32 #s(literal 4/3 binary32) (neg.f32 u) #s(literal 4/3 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 u #s(literal 3/4 binary32)) #s(literal 4/3 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 u #s(literal 3/4 binary32))) #s(literal 1/3 binary32))
(fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -4/3 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1 binary32) #s(literal 4/3 binary32))
(fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32))
(fma.f32 #s(literal -4/3 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 1 binary32))
(fma.f32 (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal 1 binary32) #s(literal 1/3 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (/.f32 u #s(literal 3/4 binary32))) #s(literal -1 binary32) #s(literal 1/3 binary32))
(-.f32 #s(literal 1 binary32) (+.f32 (/.f32 u #s(literal 3/4 binary32)) #s(literal -1/3 binary32)))
(-.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 1/3 binary32) (+.f32 #s(literal -1 binary32) (/.f32 u #s(literal 3/4 binary32))))
(-.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal -4/3 binary32))
(-.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal 3/4 binary32)))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal -1/3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (log.f32 #s(literal 3/4 binary32))))
(/.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(/.f32 (+.f32 u #s(literal -1 binary32)) #s(literal -3/4 binary32))
(/.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal 3/4 binary32) (+.f32 u #s(literal -1 binary32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (+.f32 u #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 #s(literal 4/3 binary32))) (pow.f32 (E.f32) (neg.f32 (log1p.f32 (neg.f32 u)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 u #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 #s(literal -3/4 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4/3 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (E.f32) (log.f32 #s(literal 4/3 binary32))))
(*.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(*.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(*.f32 (+.f32 u #s(literal -1 binary32)) #s(literal -4/3 binary32))
(*.f32 #s(literal -4/3 binary32) (+.f32 u #s(literal -1 binary32)))
(*.f32 #s(literal -4/3 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (+.f32 u #s(literal -1 binary32))))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(*.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (+.f32 u #s(literal -1 binary32))))) #s(literal -4/3 binary32))
(*.f32 (pow.f32 (E.f32) (log.f32 #s(literal 4/3 binary32))) (-.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (E.f32) (log.f32 (+.f32 u #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 #s(literal -4/3 binary32))))
(*.f32 (pow.f32 (E.f32) (log.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(*.f32 (pow.f32 (E.f32) (log.f32 #s(literal -4/3 binary32))) (pow.f32 (E.f32) (log.f32 (+.f32 u #s(literal -1 binary32)))))
(neg.f32 (log.f32 #s(literal 3/4 binary32)))
(neg.f32 (*.f32 (log.f32 #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 #s(literal 4/3 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32)))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal 3/4 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -3/4 binary32)) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 3/4 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -3/4 binary32)))
(-.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (log.f32 #s(literal 4/3 binary32)))
(*.f32 (log.f32 #s(literal 3/4 binary32)) #s(literal -1 binary32))
(*.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 #s(literal 3/4 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (log.f32 #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(log.f32 #s(literal 4/3 binary32))
(neg.f32 (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))))
(+.f32 #s(literal 0 binary32) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))))
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))))
(*.f32 s (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32))) #s(literal -1 binary32)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32)))
(*.f32 #s(literal 3 binary32) (*.f32 s (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log.f32 #s(literal 3/4 binary32)) (*.f32 s #s(literal 3 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) s)
(*.f32 (*.f32 s (log.f32 #s(literal 4/3 binary32))) #s(literal -3 binary32))
(*.f32 (neg.f32 s) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))) #s(literal -1 binary32))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32))) (neg.f32 s))

simplify289.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4016×+-lowering-+.f64
4016×+-lowering-+.f32
3070×*-lowering-*.f32
3070×*-lowering-*.f64
1650×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03082958
19632725
229872636
087352636
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
1/4
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(* -1 u)
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* -1 u)
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (log 4/3))
(+ (* -3 (log 4/3)) (* 3 u))
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u)))))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
3/4
(+ 3/4 (* 3/4 u))
(+ 3/4 (* u (+ 3/4 (* 3/4 u))))
(+ 3/4 (* u (+ 3/4 (* u (+ 3/4 (* 3/4 u))))))
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u)
(/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) (pow u 2))) (+ 3/4 (* 3/4 (/ 1 u)))) u)
(/ -3/4 u)
(* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u))
(* -1 (/ (+ 3/4 (+ (/ 3/4 (pow u 2)) (* 3/4 (/ 1 u)))) u))
(* -1 (/ (+ 3/4 (* -1 (/ (- (* -1 (/ (+ 3/4 (* 3/4 (/ 1 u))) u)) 3/4) u))) u))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log (/ 3/4 (- 1 u)))))
(* 3 (* s (log 3/4)))
(+ (* 3 (* s u)) (* 3 (* s (log 3/4))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* 3 (* s (log 3/4))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* 3 (* s (+ (log -3/4) (log (/ 1 u)))))
(+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u)))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (* 3 (/ s u))))
(+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (* s (+ (log -3/4) (log (/ 1 u))))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* 3 (* s (+ (log 3/4) (log (/ -1 u)))))
(+ (* 3 (* s (+ (log 3/4) (log (/ -1 u))))) (* 3 (/ s u)))
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (+ (log 3/4) (log (/ -1 u))))))
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(* 3 s)
(log 3/4)
(+ u (log 3/4))
(+ (log 3/4) (* u (+ 1 (* 1/2 u))))
(+ (log 3/4) (* u (+ 1 (* u (+ 1/2 (* 1/3 u))))))
(+ (log -3/4) (log (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (/ 1 u)))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log -3/4) (+ (log (/ 1 u)) (+ (/ 1/2 (pow u 2)) (+ (/ 1 u) (* 1/3 (/ 1 (pow u 3)))))))
(+ (log 3/4) (log (/ -1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (/ 1 u)))
(+ (log 3/4) (+ (log (/ -1 u)) (+ (/ 1/2 (pow u 2)) (/ 1 u))))
(+ (log 3/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) u)) 1) u))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* s (+ (* -3 (log 4/3)) (* -3 (log (- 1 u)))))
(* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))
(* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))
(* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))
(* -1 (* s (+ (* 3 (log 4/3)) (* 3 (log (- 1 u))))))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+ (* -3 (* s (log 4/3))) (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))))
(+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (* 3 (/ s u))))
(+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u)))))
(+ (* -3 (* s (log 4/3))) (+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3))))))
(+ (* -3 (* s (log 4/3))) (* 3 (* s (log (/ -1 u)))))
(+ (* -3 (* s (log 4/3))) (+ (* 3 (* s (log (/ -1 u)))) (* 3 (/ s u))))
(+ (* -3 (* s (log 4/3))) (+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (log (/ -1 u))))))
(+ (* -3 (* s (log 4/3))) (+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (log (/ -1 u))))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* -3 (* s (log (- 1 u))))
(* 3 (* s u))
(* u (+ (* 3/2 (* s u)) (* 3 s)))
(* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u)))))
(* u (+ (* 3 s) (* u (+ (* 3/2 s) (* u (+ s (* 3/4 (* s u))))))))
(* -3 (* s (+ (log -1) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -1) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* 3 (* s (log (/ -1 u))))
(+ (* 3 (* s (log (/ -1 u)))) (* 3 (/ s u)))
(+ (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)) (* 3 (* s (log (/ -1 u)))))
(+ (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)) (* 3 (* s (log (/ -1 u)))))
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -1 u)
(* u (- (* -1/2 u) 1))
(* u (- (* u (- (* -1/3 u) 1/2)) 1))
(* u (- (* u (- (* u (- (* -1/4 u) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u))))
(- (+ (log -1) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(* -1 (log (/ -1 u)))
(- (* -1 (log (/ -1 u))) (/ 1 u))
(+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))
(+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))
4/3
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(+ 4/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* u (- (* 4/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 4/3 (/ 1 u)))))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
(* -3 (* s (log 4/3)))
Outputs
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(* -1 u)
(neg.f32 u)
(* u (- (* 1/4 (/ 1 u)) 1))
(*.f32 u (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) u)))
(* u (- (* 1/4 (/ 1 u)) 1))
(*.f32 u (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) u)))
(* u (- (* 1/4 (/ 1 u)) 1))
(*.f32 u (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) u)))
(* -1 u)
(neg.f32 u)
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u))))
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 u #s(literal 3 binary32))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 (*.f32 u s) (+.f32 #s(literal 3 binary32) (*.f32 u #s(literal 3/2 binary32)))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 u (+.f32 (*.f32 s #s(literal 3 binary32)) (*.f32 u (*.f32 s (+.f32 u #s(literal 3/2 binary32)))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(*.f32 s (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (/.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+.f32 (*.f32 s (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)))) (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(+.f32 (*.f32 s (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)))) (+.f32 (*.f32 (/.f32 s u) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3/2 binary32) u))) (/.f32 s (*.f32 u (*.f32 u u)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (+.f32 (*.f32 s #s(literal 3 binary32)) (/.f32 (*.f32 s #s(literal 3/2 binary32)) u)) u))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(-.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (+.f32 (*.f32 s #s(literal 3/2 binary32)) (/.f32 s u)) u)) u))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
(+ (log 4/3) (* -1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) u)
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/2 binary32)))))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal -1/2 binary32) (*.f32 u #s(literal -1/3 binary32)))))))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 #s(literal -1 binary32) u)))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(-.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u)) u))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u)) u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u) (log.f32 (/.f32 #s(literal -1 binary32) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(-.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u)) u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(-.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) u) #s(literal -1 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
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(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))

eval92.0ms (1%)

Compiler

Compiled 17056 to 2137 computations (87.5% saved)

prune286.0ms (3.1%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New1279101289
Fresh111223
Picked235
Done055
Total1292301322
Accuracy
100.0%
Counts
1322 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 u))))
96.8%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)))
94.1%
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) s) (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 u)) s))
96.6%
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))) s)
▶96.4%
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
96.2%
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
▶7.4%
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
25.9%
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
96.2%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
✓7.4%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
95.9%
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))))))
95.6%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 4/3 binary32))))
✓96.1%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
✓94.4%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
▶95.3%
(*.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))) s)
▶98.3%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
98.0%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u))))) s)
✓96.6%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
98.1%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) s)
18.1%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
94.8%
(*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))) s)
96.0%
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u) u (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
✓98.2%
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
▶18.1%
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓96.5%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
✓97.9%
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
✓96.7%
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
18.1%
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
25.9%
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
94.6%
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
Compiler

Compiled 664 to 534 computations (19.6% saved)

simplify28.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f32 (neg.f32 u))
✓cost-diff0
(+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))
✓cost-diff0
(*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32))))
✓cost-diff0
(*.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))) s)
✓cost-diff0
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
✓cost-diff0
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓cost-diff0
(*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
✓cost-diff0
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
✓cost-diff0
(neg.f32 u)
✓cost-diff0
(log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓cost-diff32
(/.f32 (neg.f32 u) #s(literal 3/4 binary32))
✓cost-diff0
(log.f32 #s(literal 3/4 binary32))
✓cost-diff0
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
✓cost-diff0
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))
✓cost-diff0
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))
✓cost-diff0
(*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))))
✓cost-diff0
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
Rules
184×sum3-define
164×*-lowering-*.f32
164×*-lowering-*.f64
128×+-lowering-+.f64
128×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037152
186148
2162148
3231140
4313140
5388140
6489140
7541140
8580140
9591140
0591140
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s)
(* -3 (log (+ 1 (/ (- 1/4 u) 3/4))))
-3
(log (+ 1 (/ (- 1/4 u) 3/4)))
(/ (- 1/4 u) 3/4)
(- 1/4 u)
1/4
u
3/4
s
(* (* s (log 3/4)) 3)
(* s (log 3/4))
s
(log 3/4)
3/4
3
(* (log (+ 1 (/ (neg u) 3/4))) (* s -3))
(log (+ 1 (/ (neg u) 3/4)))
(/ (neg u) 3/4)
(neg u)
u
3/4
(* s -3)
s
-3
(* (* s (log (+ 1 (+ 1/3 (/ u -3/4))))) -3)
(* s (log (+ 1 (+ 1/3 (/ u -3/4)))))
s
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
1/3
(/ u -3/4)
u
-3/4
-3
(* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)
(* -3 (+ (log (+ 1 (neg u))) (log 4/3)))
-3
(+ (log (+ 1 (neg u))) (log 4/3))
(log (+ 1 (neg u)))
(neg u)
u
(log 4/3)
4/3
s
Outputs
(* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s)
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(* -3 (log (+ 1 (/ (- 1/4 u) 3/4))))
(*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
-3
#s(literal -3 binary32)
(log (+ 1 (/ (- 1/4 u) 3/4)))
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(/ (- 1/4 u) 3/4)
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
(- 1/4 u)
(-.f32 #s(literal 1/4 binary32) u)
1/4
#s(literal 1/4 binary32)
u
3/4
#s(literal 3/4 binary32)
s
(* (* s (log 3/4)) 3)
(*.f32 s (*.f32 (log.f32 #s(literal 3/4 binary32)) #s(literal 3 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
s
(log 3/4)
(log.f32 #s(literal 3/4 binary32))
3/4
#s(literal 3/4 binary32)
3
#s(literal 3 binary32)
(* (log (+ 1 (/ (neg u) 3/4))) (* s -3))
(*.f32 (log1p.f32 (/.f32 u #s(literal -3/4 binary32))) (*.f32 #s(literal -3 binary32) s))
(log (+ 1 (/ (neg u) 3/4)))
(log1p.f32 (/.f32 u #s(literal -3/4 binary32)))
(/ (neg u) 3/4)
(/.f32 u #s(literal -3/4 binary32))
(neg u)
(neg.f32 u)
u
3/4
#s(literal 3/4 binary32)
(* s -3)
(*.f32 #s(literal -3 binary32) s)
s
-3
#s(literal -3 binary32)
(* (* s (log (+ 1 (+ 1/3 (/ u -3/4))))) -3)
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(* s (log (+ 1 (+ 1/3 (/ u -3/4)))))
(*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
s
(log (+ 1 (+ 1/3 (/ u -3/4))))
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
(+ 1/3 (/ u -3/4))
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
1/3
#s(literal 1/3 binary32)
(/ u -3/4)
(/.f32 u #s(literal -3/4 binary32))
u
-3/4
#s(literal -3/4 binary32)
-3
#s(literal -3 binary32)
(* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)
(*.f32 (*.f32 #s(literal -3 binary32) s) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32))))
(* -3 (+ (log (+ 1 (neg u))) (log 4/3)))
(*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32))))
-3
#s(literal -3 binary32)
(+ (log (+ 1 (neg u))) (log 4/3))
(+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))
(log (+ 1 (neg u)))
(log1p.f32 (neg.f32 u))
(neg u)
(neg.f32 u)
u
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
4/3
#s(literal 4/3 binary32)
s

localize253.0ms (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))) s)
✓accuracy99.3%
(*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32))))
✓accuracy97.7%
(log.f32 #s(literal 4/3 binary32))
✓accuracy97.7%
(+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))
✓accuracy99.4%
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
✓accuracy99.4%
(*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
✓accuracy99.2%
(log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))
✓accuracy97.9%
(+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))
✓accuracy100.0%
(*.f32 s #s(literal -3 binary32))
✓accuracy100.0%
(neg.f32 u)
✓accuracy99.1%
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓accuracy99.1%
(log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32)))
✓accuracy100.0%
(log.f32 #s(literal 3/4 binary32))
✓accuracy99.2%
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
✓accuracy98.8%
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
✓accuracy100.0%
(-.f32 #s(literal 1/4 binary32) u)
✓accuracy99.4%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
✓accuracy99.3%
(*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))))
✓accuracy99.2%
(log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))
Results
152.0ms185×0valid
48.0ms71×0invalid
Compiler

Compiled 154 to 33 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log: 29.0ms (30.4% of total)
compiled-spec: 20.0ms (21% of total)
ival-mult: 17.0ms (17.8% of total)
ival-add: 9.0ms (9.4% of total)
...c/correct-round.rkt:119:19: 8.0ms (8.4% of total)
ival-div: 7.0ms (7.3% of total)
ival-sub: 2.0ms (2.1% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series69.0ms (0.8%)

Counts
22 → 300
Calls
Call 1
Inputs
#<alt (* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s)>
#<alt (* -3 (log (+ 1 (/ (- 1/4 u) 3/4))))>
#<alt (log (+ 1 (/ (- 1/4 u) 3/4)))>
#<alt (/ (- 1/4 u) 3/4)>
#<alt (* (* s (log 3/4)) 3)>
#<alt (* s (log 3/4))>
#<alt (log 3/4)>
#<alt (/ (neg u) 3/4)>
#<alt (* (log (+ 1 (/ (neg u) 3/4))) (* s -3))>
#<alt (log (+ 1 (/ (neg u) 3/4)))>
#<alt (neg u)>
#<alt (* (* s (log (+ 1 (+ 1/3 (/ u -3/4))))) -3)>
#<alt (* s (log (+ 1 (+ 1/3 (/ u -3/4)))))>
#<alt (log (+ 1 (+ 1/3 (/ u -3/4))))>
#<alt (+ 1/3 (/ u -3/4))>
#<alt (* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)>
#<alt (* -3 (+ (log (+ 1 (neg u))) (log 4/3)))>
#<alt (+ (log (+ 1 (neg u))) (log 4/3))>
#<alt (log (+ 1 (neg u)))>
#<alt (- 1/4 u)>
#<alt (* s -3)>
#<alt (log 4/3)>
Outputs
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))>
#<alt (* -3 (log 4/3))>
#<alt (+ (* -3 (log 4/3)) (* 3 u))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))>
#<alt (* -3 (+ (log -4/3) (* -1 (log (/ 1 u)))))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))>
#<alt (* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* 3 (* s (log 3/4)))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* s (log 3/4))>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* -4/3 u)>
#<alt (* 4 (* s u))>
#<alt (* u (+ (* 8/3 (* s u)) (* 4 s)))>
#<alt (* u (+ (* 4 s) (* u (+ (* 64/27 (* s u)) (* 8/3 s)))))>
#<alt (* u (+ (* 4 s) (* u (+ (* 8/3 s) (* u (+ (* 64/27 s) (* 64/27 (* s u))))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 9/4 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 27/32 (/ s (pow u 2))) (* 9/4 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 27/64 (/ s (pow u 3))) (+ (* 27/32 (/ s (pow u 2))) (* 9/4 (/ s u)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 9/4 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -9/4 s) (* -27/32 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -9/4 s) (* -1 (/ (+ (* 27/64 (/ s u)) (* 27/32 s)) u))) u)))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 1 (* -4/3 u)))))>
#<alt (* -4/3 u)>
#<alt (* u (- (* -8/9 u) 4/3))>
#<alt (* u (- (* u (- (* -64/81 u) 8/9)) 4/3))>
#<alt (* u (- (* u (- (* u (- (* -64/81 u) 64/81)) 8/9)) 4/3))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (* 3/4 (/ 1 u)))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 3/4 (* 9/32 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 9/32 (* 9/64 (/ 1 u))) (pow u 2))))) (* 3/4 (/ 1 u)))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (* 3/4 (/ 1 u)))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 3/4 (* 9/32 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 3/4 (+ (/ 9/64 (pow u 2)) (* 9/32 (/ 1 u)))) u))))>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log (+ 4/3 (* -4/3 u)))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log (+ 4/3 (* -4/3 u))))>
#<alt (* s (log 4/3))>
#<alt (+ (* -1 (* s u)) (* s (log 4/3)))>
#<alt (+ (* s (log 4/3)) (* u (+ (* -1 s) (* -1/2 (* s u)))))>
#<alt (+ (* s (log 4/3)) (* u (+ (* -1 s) (* u (+ (* -1/2 s) (* -1/3 (* s u)))))))>
#<alt (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))>
#<alt (+ (* -1 (/ s u)) (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -1 (/ s u)) (+ (* -1/2 (/ s (pow u 2))) (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))))>
#<alt (+ (* -1 (/ s u)) (+ (* -1/2 (/ s (pow u 2))) (+ (* -1/3 (/ s (pow u 3))) (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))))>
#<alt (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))>
#<alt (+ (* -1 (/ s u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -1 (/ (+ s (* 1/2 (/ s u))) u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -1 (/ (+ s (* -1 (/ (+ (* -1/2 s) (* -1/3 (/ s u))) u))) u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -4/3) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt 1/3>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (+ 1/3 (* -4/3 u))>
#<alt (* -4/3 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* u (- (* 1/3 (/ 1 u)) 4/3))>
#<alt (* -4/3 u)>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))>
#<alt (* -3 (* s (log 4/3)))>
#<alt (+ (* -3 (* s (log 4/3))) (* 3 (* s u)))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))>
#<alt (+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))>
#<alt (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))))>
#<alt (+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))>
#<alt (+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))>
#<alt (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))>
#<alt (+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (* s (+ (log 4/3) (log (- 1 u)))))>
#<alt (* -3 (log 4/3))>
#<alt (+ (* -3 (log 4/3)) (* 3 u))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))>
#<alt (+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))>
#<alt (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))>
#<alt (+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))>
#<alt (* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))>
#<alt (+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))>
#<alt (log 4/3)>
#<alt (+ (log 4/3) (* -1 u))>
#<alt (+ (log 4/3) (* u (- (* -1/2 u) 1)))>
#<alt (+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))>
#<alt (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))>
#<alt (- (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))) (/ 1 u))>
#<alt (+ (log -1) (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))))>
#<alt (- (+ (log -1) (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2)))))) (/ 1 u))>
#<alt (+ (log 4/3) (* -1 (log (/ -1 u))))>
#<alt (- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))>
#<alt (* -1 u)>
#<alt (* u (- (* -1/2 u) 1))>
#<alt (* u (- (* u (- (* -1/3 u) 1/2)) 1))>
#<alt (* u (- (* u (- (* u (- (* -1/4 u) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u)))) (/ 1 u))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))>
#<alt (* -1 (log (/ -1 u)))>
#<alt (- (* -1 (log (/ -1 u))) (/ 1 u))>
#<alt (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))>
#<alt (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (+ 1/4 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1 (* 1/4 (/ 1 u)))))>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
#<alt (* -3 s)>
Calls

75 calls:

TimeVariablePointExpression
21.0ms
u
@0
(log (+ 1 (/ (neg u) 3/4)))
20.0ms
s
@0
(* (log (+ 1 (/ (neg u) 3/4))) (* s -3))
17.0ms
u
@0
(* (log (+ 1 (/ (neg u) 3/4))) (* s -3))
1.0ms
s
@0
(* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)
1.0ms
s
@inf
(* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)

rewrite228.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2076×fnmsub-define
2048×+-lowering-+.f64
2048×+-lowering-+.f32
1522×prod-diff
1258×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037122
1108111
2237111
3548111
41197111
52239111
65650111
08136111
Stop Event
1×iter limit
1×node limit
Counts
22 → 509
Calls
Call 1
Inputs
(* (* -3 (log (+ 1 (/ (- 1/4 u) 3/4)))) s)
(* -3 (log (+ 1 (/ (- 1/4 u) 3/4))))
(log (+ 1 (/ (- 1/4 u) 3/4)))
(/ (- 1/4 u) 3/4)
(* (* s (log 3/4)) 3)
(* s (log 3/4))
(log 3/4)
(/ (neg u) 3/4)
(* (log (+ 1 (/ (neg u) 3/4))) (* s -3))
(log (+ 1 (/ (neg u) 3/4)))
(neg u)
(* (* s (log (+ 1 (+ 1/3 (/ u -3/4))))) -3)
(* s (log (+ 1 (+ 1/3 (/ u -3/4)))))
(log (+ 1 (+ 1/3 (/ u -3/4))))
(+ 1/3 (/ u -3/4))
(* (* -3 (+ (log (+ 1 (neg u))) (log 4/3))) s)
(* -3 (+ (log (+ 1 (neg u))) (log 4/3)))
(+ (log (+ 1 (neg u))) (log 4/3))
(log (+ 1 (neg u)))
(- 1/4 u)
(* s -3)
(log 4/3)
Outputs
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) (*.f32 (*.f32 #s(literal -3 binary32) s) #s(literal 0 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) (*.f32 #s(literal 0 binary32) (*.f32 #s(literal -3 binary32) s)))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))))
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
(fma.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))))
(fma.f32 #s(literal -3 binary32) (*.f32 s (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
(fma.f32 s (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
(fma.f32 s (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))))
(fma.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u)) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
(fma.f32 (*.f32 #s(literal -3 binary32) s) (log.f32 #s(literal 4/3 binary32)) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))))
(fma.f32 (log1p.f32 (neg.f32 u)) (*.f32 #s(literal -3 binary32) s) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
(fma.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 #s(literal -3 binary32) s) (*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (neg.f32 u))))
(fma.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 u))) s (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))))
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(+.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) #s(literal 0 binary32))
(+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (log1p.f32 (neg.f32 u)))
(+.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 (+.f32 u #s(literal -1 binary32))))
(+.f32 (log.f32 (+.f32 u #s(literal -1 binary32))) (log.f32 #s(literal -4/3 binary32)))
(+.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32))) (log.f32 #s(literal -1 binary32)))
(log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))
(log1p.f32 (neg.f32 u))
(+.f32 (log1p.f32 (neg.f32 u)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 u #s(literal -1 binary32))))
(+.f32 (log.f32 (+.f32 u #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(log.f32 (-.f32 #s(literal 1 binary32) u))
(neg.f32 (+.f32 u #s(literal -1/4 binary32)))
(exp.f32 (log.f32 (-.f32 #s(literal 1/4 binary32) u)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (-.f32 #s(literal 1/4 binary32) u)))))
(+.f32 #s(literal 1/4 binary32) (neg.f32 u))
(+.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 0 binary32))
(+.f32 (neg.f32 u) #s(literal 1/4 binary32))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/4 binary32) u))
(pow.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u)) #s(literal -1 binary32))
(pow.f32 (E.f32) (log.f32 (-.f32 #s(literal 1/4 binary32) u)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (-.f32 #s(literal 1/4 binary32) u))))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1/4 binary32))
(fma.f32 u #s(literal -1 binary32) #s(literal 1/4 binary32))
(fma.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 u) #s(literal 1 binary32) #s(literal 1/4 binary32))
(fma.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) u #s(literal 1/4 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1/4 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 1/4 binary32) u)
(-.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 0 binary32))
(-.f32 (neg.f32 u) #s(literal -1/4 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 u #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u)))
(/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))
(/.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -1 binary32))
(/.f32 (+.f32 u #s(literal -1/4 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1/4 binary32))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1/4 binary32))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))
(*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 1 binary32))
(*.f32 (+.f32 u #s(literal -1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1/4 binary32)))
(*.f32 #s(literal -3 binary32) s)
(*.f32 s #s(literal -3 binary32))
(neg.f32 (log.f32 #s(literal 3/4 binary32)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 #s(literal 4/3 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32)))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 #s(literal -1 binary32)))
(+.f32 (fma.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32))) (fma.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32))) (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -3/4 binary32)) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -3/4 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32))) (fma.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -4/3 binary32))) (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -3/4 binary32)) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -3/4 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -4/3 binary32))) (fma.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -4/3 binary32))) (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -3/4 binary32)) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -3/4 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32) (log.f32 #s(literal -4/3 binary32))) (fma.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal 1 binary32) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32) (log.f32 #s(literal -4/3 binary32))) (fma.f32 #s(literal -1 binary32) (log.f32 #s(literal -3/4 binary32)) (log.f32 #s(literal -3/4 binary32))))
(+.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32) (neg.f32 (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32)))) (fma.f32 (log.f32 #s(literal -3/4 binary32)) #s(literal -1 binary32) (*.f32 (log.f32 #s(literal -4/3 binary32)) #s(literal -1 binary32))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) #s(literal 0 binary32))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -3/4 binary32)))
(-.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 #s(literal -1 binary32)))
(*.f32 (log.f32 #s(literal 3/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 #s(literal 3/4 binary32)))
(log.f32 #s(literal 4/3 binary32))

simplify508.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
5384×+-lowering-+.f64
5384×+-lowering-+.f32
1912×*-lowering-*.f32
1912×*-lowering-*.f64
1760×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03423058
110622777
232902708
080782708
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(* -3 (log 4/3))
(+ (* -3 (log 4/3)) (* 3 u))
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u)))))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* 3 (* s (log 3/4)))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* s (log 3/4))
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* -4/3 u)
(* 4 (* s u))
(* u (+ (* 8/3 (* s u)) (* 4 s)))
(* u (+ (* 4 s) (* u (+ (* 64/27 (* s u)) (* 8/3 s)))))
(* u (+ (* 4 s) (* u (+ (* 8/3 s) (* u (+ (* 64/27 s) (* 64/27 (* s u))))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 9/4 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 27/32 (/ s (pow u 2))) (* 9/4 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 27/64 (/ s (pow u 3))) (+ (* 27/32 (/ s (pow u 2))) (* 9/4 (/ s u)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 9/4 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -9/4 s) (* -27/32 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -9/4 s) (* -1 (/ (+ (* 27/64 (/ s u)) (* 27/32 s)) u))) u)))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -3 (* s (log (+ 1 (* -4/3 u)))))
(* -4/3 u)
(* u (- (* -8/9 u) 4/3))
(* u (- (* u (- (* -64/81 u) 8/9)) 4/3))
(* u (- (* u (- (* u (- (* -64/81 u) 64/81)) 8/9)) 4/3))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (* 3/4 (/ 1 u)))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 3/4 (* 9/32 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 9/32 (* 9/64 (/ 1 u))) (pow u 2))))) (* 3/4 (/ 1 u)))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (* 3/4 (/ 1 u)))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 3/4 (* 9/32 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 3/4 (+ (/ 9/64 (pow u 2)) (* 9/32 (/ 1 u)))) u))))
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log (+ 4/3 (* -4/3 u)))))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log (+ 4/3 (* -4/3 u))))
(* s (log 4/3))
(+ (* -1 (* s u)) (* s (log 4/3)))
(+ (* s (log 4/3)) (* u (+ (* -1 s) (* -1/2 (* s u)))))
(+ (* s (log 4/3)) (* u (+ (* -1 s) (* u (+ (* -1/2 s) (* -1/3 (* s u)))))))
(* s (+ (log -4/3) (* -1 (log (/ 1 u)))))
(+ (* -1 (/ s u)) (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(+ (* -1 (/ s u)) (+ (* -1/2 (/ s (pow u 2))) (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))))
(+ (* -1 (/ s u)) (+ (* -1/2 (/ s (pow u 2))) (+ (* -1/3 (/ s (pow u 3))) (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))))
(* s (+ (log 4/3) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ s u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ s (* 1/2 (/ s u))) u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ s (* -1 (/ (+ (* -1/2 s) (* -1/3 (/ s u))) u))) u)) (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
1/3
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(+ 1/3 (* -4/3 u))
(* -4/3 u)
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(* -4/3 u)
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(* -3 (* s (log 4/3)))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))))
(+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+ (* -3 (* s (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (* s (+ (log 4/3) (log (- 1 u)))))
(* -3 (log 4/3))
(+ (* -3 (log 4/3)) (* 3 u))
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))
(* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))
(+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))
(log 4/3)
(+ (log 4/3) (* -1 u))
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))
(- (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))) (/ 1 u))
(+ (log -1) (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))))
(- (+ (log -1) (+ (log 4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2)))))) (/ 1 u))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(* -1 u)
(* u (- (* -1/2 u) 1))
(* u (- (* u (- (* -1/3 u) 1/2)) 1))
(* u (- (* u (- (* u (- (* -1/4 u) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u))))
(- (+ (log -1) (* -1 (log (/ 1 u)))) (/ 1 u))
(+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(* -1 (log (/ -1 u)))
(- (* -1 (log (/ -1 u))) (/ 1 u))
(+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u)))
(+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u)))
1/4
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(+ 1/4 (* -1 u))
(* -1 u)
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* u (- (* 1/4 (/ 1 u)) 1))
(* -1 u)
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -1 (* u (- 1 (* 1/4 (/ 1 u)))))
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
(* -3 s)
Outputs
(* -3 (* s (log 4/3)))
(*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32))))
(+ (* -3 (* s (log 4/3))) (* 3 (* s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3/2 (* s u)) (* 3 s))))
(+.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 #s(literal 4/3 binary32)))) (*.f32 (*.f32 s u) (+.f32 #s(literal 3 binary32) (*.f32 u #s(literal 3/2 binary32)))))
(+ (* -3 (* s (log 4/3))) (* u (+ (* 3 s) (* u (+ (* 3/2 s) (* s u))))))
(+.f32 (*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u))) (*.f32 (*.f32 s (+.f32 u #s(literal 3/2 binary32))) (*.f32 u u)))
(* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u))))))
(*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (/.f32 #s(literal 3 binary32) u)))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (* 3 (/ s u))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (*.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 3/2 binary32) u) #s(literal 3 binary32))))
(+ (* -3 (* s (+ (log -4/3) (* -1 (log (/ 1 u)))))) (+ (* 3/2 (/ s (pow u 2))) (+ (* 3 (/ s u)) (/ s (pow u 3)))))
(+.f32 (*.f32 (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)) (*.f32 #s(literal -3 binary32) s)) (+.f32 (*.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 3/2 binary32) u) #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 s u) u) u)))
(* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u))))))
(*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* 3 (/ s u)))
(*.f32 s (+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))))))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -3/2 (/ s u))) u)))
(-.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (+.f32 (*.f32 #s(literal -3 binary32) s) (*.f32 (/.f32 s u) #s(literal -3/2 binary32))) u))
(+ (* -3 (* s (+ (log 4/3) (* -1 (log (/ -1 u)))))) (* -1 (/ (+ (* -3 s) (* -1 (/ (+ (* 3/2 s) (/ s u)) u))) u)))
(-.f32 (*.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -3 binary32) s)) (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) s) (/.f32 (+.f32 (*.f32 s #s(literal 3/2 binary32)) (/.f32 s u)) u)) u))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (* s (log (+ 1 (* 4/3 (- 1/4 u))))))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 #s(literal 4/3 binary32) (-.f32 #s(literal 1/4 binary32) u))))
(* -3 (log 4/3))
(*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32)))
(+ (* -3 (log 4/3)) (* 3 u))
(+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 #s(literal 3 binary32) u))
(+ (* -3 (log 4/3)) (* u (+ 3 (* 3/2 u))))
(+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 u (+.f32 #s(literal 3 binary32) (*.f32 u #s(literal 3/2 binary32)))))
(+ (* -3 (log 4/3)) (* u (+ 3 (* u (+ 3/2 u)))))
(+.f32 (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 4/3 binary32))) (*.f32 u (+.f32 #s(literal 3 binary32) (*.f32 u (+.f32 u #s(literal 3/2 binary32))))))
(* -3 (+ (log -4/3) (* -1 (log (/ 1 u)))))
(*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u)))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (* 3 (/ 1 u)))
(+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (/.f32 #s(literal 3 binary32) u))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (+.f32 (/.f32 #s(literal 3 binary32) u) (/.f32 #s(literal 3/2 binary32) (*.f32 u u))))
(+ (* -3 (+ (log -4/3) (* -1 (log (/ 1 u))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))
(+.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))) (+.f32 (+.f32 (/.f32 #s(literal 3 binary32) u) (/.f32 #s(literal 3/2 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))
(* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))
(*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* 3 (/ 1 u)))
(+.f32 (/.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (+ (* 3 (/ 1 u)) (/ 3/2 (pow u 2))))
(+.f32 (+.f32 (/.f32 #s(literal 3 binary32) u) (/.f32 #s(literal 3/2 binary32) (*.f32 u u))) (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))))
(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))
(-.f32 (*.f32 #s(literal -3 binary32) (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))) (/.f32 (+.f32 #s(literal -3 binary32) (/.f32 (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) u)) u)) u))
(log 4/3)
(log.f32 #s(literal 4/3 binary32))
(+ (log 4/3) (* -1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) u)
(+ (log 4/3) (* u (- (* -1/2 u) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/2 binary32)))))
(+ (log 4/3) (* u (- (* u (- (* -1/3 u) 1/2)) 1)))
(+.f32 (log.f32 #s(literal 4/3 binary32)) (*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal -1/2 binary32) (*.f32 u #s(literal -1/3 binary32)))))))
(+ (log -4/3) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (log.f32 u))
(- (+ (log -4/3) (* -1 (log (/ 1 u)))) (/ 1 u))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (log.f32 u) (/.f32 #s(literal -1 binary32) u)))
(+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (-.f32 (log.f32 u) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u)) u)))
(- (+ (log -4/3) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
(+.f32 (log.f32 #s(literal -4/3 binary32)) (+.f32 (-.f32 (log.f32 u) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) (*.f32 u u))) (/.f32 #s(literal -1 binary32) u)))
(+ (log 4/3) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(- (+ (log 4/3) (* -1 (log (/ -1 u)))) (/ 1 u))
(+.f32 (-.f32 (log.f32 #s(literal 4/3 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal -1 binary32) u))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u))) u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u)) u)))
(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(+ 1/3 (* -4/3 u))
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -4/3 binary32)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 4/3))
(*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* -4/3 u)
(*.f32 u #s(literal -4/3 binary32))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* -1 (* u (- 4/3 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* 3 (* s (log 3/4)))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
(* s (log 3/4))
(*.f32 s (log.f32 #s(literal 3/4 binary32)))
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1/3
#s(literal 1/3 binary32)
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(* -4/3 u)
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(* u (- (* 1/3 (/ 1 u)) 4/3))
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(* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u))))))
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(+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (* 3 (/ 1 u)))
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(+ (* -3 (+ (log -1) (+ (log 4/3) (* -1 (log (/ 1 u)))))) (+ (* 3 (/ 1 u)) (+ (/ 1 (pow u 3)) (/ 3/2 (pow u 2)))))
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(* -3 (+ (log 4/3) (* -1 (log (/ -1 u)))))
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(+ (* -3 (+ (log 4/3) (* -1 (log (/ -1 u))))) (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 u)) u)) 3) u)))
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(log 4/3)
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(+ (log 4/3) (* -1 u))
(-.f32 (log.f32 #s(literal 4/3 binary32)) u)
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(+ (log 4/3) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u 2)) (* 1/2 (/ 1 u)))) u))))
(-.f32 (log.f32 #s(literal 4/3 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u u)))) u)))
(* -1 u)
(neg.f32 u)
(* u (- (* -1/2 u) 1))
(*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/2 binary32))))
(* u (- (* u (- (* -1/3 u) 1/2)) 1))
(*.f32 u (+.f32 #s(literal -1 binary32) (*.f32 u (+.f32 #s(literal -1/2 binary32) (*.f32 u #s(literal -1/3 binary32))))))
(* u (- (* u (- (* u (- (* -1/4 u) 1/3)) 1/2)) 1))
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(- (+ (log -1) (+ (* -1 (log (/ 1 u))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u))) (pow u 2))))) (/ 1 u))
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(* -1 (log (/ -1 u)))
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1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(+ 1/4 (* -1 u))
(-.f32 #s(literal 1/4 binary32) u)
(* -1 u)
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(*.f32 u (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) u)))
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(* -3 s)
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(* -3 s)
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(* -3 s)
(*.f32 #s(literal -3 binary32) s)
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(* -3 s)
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(* -3 s)
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(* -3 s)
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(* -3 s)
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eval84.0ms (0.9%)

Compiler

Compiled 10964 to 2000 computations (81.8% saved)

prune290.0ms (3.1%)

Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New83610846
Fresh41317
Picked235
Done178
Total84333876
Accuracy
100.0%
Counts
876 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 u))))
96.8%
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)))
94.1%
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) s) (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 u)) s))
96.6%
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))) s)
26.9%
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
27.6%
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
28.7%
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
29.5%
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
✓96.4%
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
97.8%
(*.f32 (*.f32 s (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) #s(literal -3 binary32))
96.2%
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
28.7%
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
25.9%
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
96.2%
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
95.6%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 4/3 binary32))))
✓96.1%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
✓94.4%
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
✓95.3%
(*.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))) s)
✓98.3%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
98.0%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u))))) s)
✓96.6%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
98.1%
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) s)
96.1%
(*.f32 (*.f32 #s(literal -3 binary32) s) (log.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
96.0%
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u) u (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
✓98.2%
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
✓96.5%
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
✓97.9%
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
✓96.7%
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
26.9%
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
27.6%
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
29.5%
(*.f32 s (*.f32 u #s(literal 4 binary32)))
25.9%
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
94.6%
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
Compiler

Compiled 1138 to 578 computations (49.2% saved)

regimes189.0ms (2%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))) s)
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) s)
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (*.f32 s (log.f32 (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(*.f32 (*.f32 s (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) #s(literal -3 binary32))
(*.f32 (*.f32 s (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) #s(literal -3 binary32))
(*.f32 s (*.f32 #s(literal -3 binary32) (log.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
(*.f32 (log1p.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1/3 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3/4 binary32) (+.f32 u #s(literal -1/4 binary32))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1/4 binary32) u))))) s)
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/4 binary32)))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -4/3 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 4/3 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (neg.f32 (log.f32 (/.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32)))))))
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/4 binary32) u))) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1/3 binary32) u)))) u)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (+.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 4/3 binary32)))) s)
(*.f32 (-.f32 (log1p.f32 (neg.f32 u)) (log.f32 #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (neg.f32 u))) (*.f32 #s(literal -3 binary32) (log.f32 #s(literal 3/4 binary32)))) s)
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u) u (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u))) (*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))) s) (*.f32 (*.f32 #s(literal -3 binary32) (log.f32 u)) s))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (neg.f32 u)) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 #s(literal 4/3 binary32))))
(*.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (log.f32 (exp.f32 #s(literal 1 binary32)))) (*.f32 s #s(literal -3 binary32)))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 #s(literal -3 binary32) (*.f32 s (log.f32 u))))
(fma.f32 (*.f32 s (log.f32 u)) #s(literal -3 binary32) (*.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u)))))
(fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (neg.f32 (-.f32 (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 u))) #s(literal 0 binary32))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 u) (*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 u)))))
(+.f32 (*.f32 (*.f32 s #s(literal -3 binary32)) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) (fma.f32 (*.f32 s #s(literal -3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))) (*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 (+.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 4/3 binary32) u))))))
Outputs
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
Calls

9 calls:

38.0ms
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))
30.0ms
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))
18.0ms
u
17.0ms
s
17.0ms
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
Results
AccuracySegmentsBranch
98.3%1s
98.3%1u
98.3%1(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))))
98.3%1(*.f32 #s(literal 3 binary32) s)
98.3%1(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))))
98.3%1(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))))
98.3%1(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32)))
98.3%1(/.f32 (-.f32 u #s(literal 1/4 binary32)) #s(literal 3/4 binary32))
98.3%1(-.f32 u #s(literal 1/4 binary32))
Compiler

Compiled 71 to 58 computations (18.3% saved)

regimes25.0ms (0.3%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log.f32 (+.f32 #s(literal 4/3 binary32) (*.f32 u #s(literal -4/3 binary32)))))
(*.f32 (*.f32 #s(literal -3 binary32) (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32)))) s)
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32)))) s)
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32))))) s)
Outputs
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
Calls

3 calls:

8.0ms
s
7.0ms
(*.f32 #s(literal 3 binary32) s)
7.0ms
u
Results
AccuracySegmentsBranch
98.2%1u
98.2%1s
98.2%1(*.f32 #s(literal 3 binary32) s)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes31.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 u #s(literal -3/4 binary32)))) (*.f32 s #s(literal -3 binary32)))
Outputs
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
Calls

3 calls:

18.0ms
(*.f32 #s(literal 3 binary32) s)
6.0ms
u
6.0ms
s
Results
AccuracySegmentsBranch
97.9%1s
97.9%1u
97.9%1(*.f32 #s(literal 3 binary32) s)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
Outputs
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
Calls

3 calls:

9.0ms
u
6.0ms
(*.f32 #s(literal 3 binary32) s)
5.0ms
s
Results
AccuracySegmentsBranch
94.9%1s
94.9%1u
94.9%1(*.f32 #s(literal 3 binary32) s)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.2%)

Accuracy

Total -7.7b remaining (-34.1%)

Threshold costs -7.7b (-34.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
(*.f32 (*.f32 u #s(literal -4/3 binary32)) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 s u) (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u #s(literal -8/9 binary32)))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 u (*.f32 s (+.f32 #s(literal 8/3 binary32) (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u #s(literal -64/81 binary32)))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 u (+.f32 #s(literal -4/3 binary32) (*.f32 u (+.f32 #s(literal -8/9 binary32) (*.f32 u (*.f32 (+.f32 u #s(literal 1 binary32)) #s(literal -64/81 binary32))))))) (*.f32 s #s(literal -3 binary32)))
(*.f32 u (+.f32 (*.f32 s (+.f32 (*.f32 u #s(literal 8/3 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u (*.f32 s (*.f32 #s(literal 64/27 binary32) u))))))
(*.f32 s (*.f32 #s(literal 3 binary32) (log.f32 #s(literal 3/4 binary32))))
(*.f32 (*.f32 #s(literal 3 binary32) s) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s #s(literal 3 binary32)) (log.f32 #s(literal 3/4 binary32)))
(*.f32 (*.f32 s (log.f32 #s(literal 3/4 binary32))) #s(literal 3 binary32))
(*.f32 s (*.f32 #s(literal 3 binary32) (+.f32 u (log.f32 #s(literal 3/4 binary32)))))
(*.f32 (log1p.f32 (*.f32 u #s(literal -4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (*.f32 u #s(literal -4/3 binary32)))) s)
(*.f32 (*.f32 s #s(literal 3 binary32)) (+.f32 u (log.f32 #s(literal 3/4 binary32))))
(*.f32 (log1p.f32 (/.f32 (neg.f32 u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
Outputs
(*.f32 s (*.f32 u #s(literal 4 binary32)))
Calls

3 calls:

7.0ms
u
5.0ms
(*.f32 #s(literal 3 binary32) s)
5.0ms
s
Results
AccuracySegmentsBranch
29.5%1s
29.5%1(*.f32 #s(literal 3 binary32) s)
29.5%1u
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative_binary32
6×+-commutative_binary32
4×sub-neg_binary32
2×neg-sub0_binary32
2×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02445
13645
24145
34345
44445
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 s (*.f32 u #s(literal 4 binary32)))
Outputs
(*.f32 (*.f32 #s(literal -3 binary32) (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32)))) s)
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 3/4 binary32))) (*.f32 #s(literal -3 binary32) s))
(*.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log1p.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) u) #s(literal 4/3 binary32))))
(*.f32 (log.f32 (+.f32 (/.f32 u #s(literal -3/4 binary32)) #s(literal 4/3 binary32))) (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal -3 binary32) s) (log.f32 (+.f32 #s(literal 4/3 binary32) (/.f32 u #s(literal -3/4 binary32)))))
(*.f32 s (*.f32 u #s(literal 4 binary32)))

soundness1.5s (16.7%)

Rules
5384×+-lowering-+.f64
5384×+-lowering-+.f32
2338×*-lowering-*.f32
2338×*-lowering-*.f64
2290×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01313
13111
26210
313010
424010
53279
64749
76369
87899
98609
1010099
1110139
1210169
010169
03423058
110622777
232902708
080782708
02302691
16762510
220192430
367712430
080642430
040126
1139123
2418114
31165114
42908114
08087114
02264
17458
220151
360051
4145851
5366851
0828451
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 187 to 140 computations (25.1% saved)

preprocess52.0ms (0.6%)

Remove

(negabs s)

Compiler

Compiled 222 to 154 computations (30.6% saved)

end0.0ms (0%)

Profiling

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