Rust f32::acosh

Time bar (total: 6.7s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample387.0ms (5.8%)

Memory
-10.6MiB live, 636.4MiB allocated
Samples
275.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-acosh: 112.0ms (75.5% of total)
ival->=: 28.0ms (18.9% of total)
...in/eval/compile.rkt:110:19: 5.0ms (3.4% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess812.0ms (12.1%)

Memory
12.4MiB live, 1 156.1MiB allocated
Algorithm
egg-herbie
Rules
29 894×accelerator-lowering-fma.f32
29 894×accelerator-lowering-fma.f64
4 210×*-lowering-*.f32
4 210×*-lowering-*.f64
2 884×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4229
5299
6369
079
1169
2209
3359
4669
51279
62879
75679
820499
931539
1044189
1151029
1254049
1355899
1456919
1560109
1665569
1776679
080878
Stop Event
iter limit
node limit
saturated
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
Call 2
Inputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))
Outputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

explain100.0ms (1.5%)

Memory
22.5MiB live, 267.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
20-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-#s(literal 1 binary32)
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1170
(*.f32 x x)overflow117
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow117
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue20
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow2
(*.f32 x x)overflow117
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow117
Confusion
Predicted +Predicted -
+1170
-0139
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11700
-00139
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0139
1115
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 7.0ms (33.9% of total)
ival-mult: 4.0ms (19.4% of total)
ival-sqrt: 4.0ms (19.4% of total)
ival-sub: 2.0ms (9.7% of total)
ival-add: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify756.0ms (11.2%)

Memory
-5.9MiB live, 1 156.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (*.f32 x x) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff0
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Rules
29 894×accelerator-lowering-fma.f32
29 894×accelerator-lowering-fma.f64
4 210×*-lowering-*.f32
4 210×*-lowering-*.f64
2 884×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
11633
22033
33533
46633
512733
628733
756733
8204933
9315333
10441833
11510233
12540433
13558933
14569133
15601033
16655633
17766733
0808729
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
x
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)
1
Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(+ x (sqrt (- (* x x) 1)))
(+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))))
x
(sqrt (- (* x x) 1))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(- (* x x) 1)
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)

localize25.0ms (0.4%)

Memory
-20.2MiB live, 57.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy99.9%
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy99.2%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy60.3%
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Samples
15.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (33.8% of total)
ival-mult: 2.0ms (22.5% of total)
ival-sqrt: 2.0ms (22.5% of total)
ival-sub: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (log (+ x (sqrt (- (* x x) 1))))>
#<alt (+ x (sqrt (- (* x x) 1)))>
#<alt (sqrt (- (* x x) 1))>
#<alt (- (* x x) 1)>
Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@-inf
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@inf
(log (+ x (sqrt (- (* x x) 1))))
0.0ms
x
@0
(sqrt (- (* x x) 1))
0.0ms
x
@inf
(- (* x x) 1)

rewrite379.0ms (5.6%)

Memory
23.9MiB live, 574.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 994×accelerator-lowering-fma.f32
4 994×accelerator-lowering-fma.f64
3 230×*-lowering-*.f32
3 230×*-lowering-*.f64
2 612×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
14428
231728
3362128
0864124
Stop Event
iter limit
node limit
Counts
4 → 320
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))
(- (* x x) 1)
Outputs
(neg.f32 (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x) (+.f32 (*.f32 x x) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
(+.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (log.f32 (*.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (log.f32 (/.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (neg.f32 (log.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 (log.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (*.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))))
(+.f32 (log.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (/.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 (log.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(+.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))))
(+.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))))
(+.f32 (neg.f32 (log.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))) (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log.f32 (/.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (pow.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 3 binary32))))) (log.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (*.f32 x x))))))
(+.f32 (log.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (pow.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (log.f32 (-.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 (log.f32 (/.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))) (*.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (*.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (log.f32 (+.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (log.f32 (*.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (log.f32 (/.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x) (+.f32 (*.f32 x x) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
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(/.f32 (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x))
(/.f32 (pow.f32 (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 x #s(literal -1 binary32))) (-.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) x))
(/.f32 (exp.f32 (log.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))) (exp.f32 (log1p.f32 (+.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (exp.f32 (log.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1 binary32))))))))
(/.f32 (exp.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))))) (exp.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))))) (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32))))))
(sqrt.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1 binary32)))))))
(*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))))))
(*.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(*.f32 (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) (exp.f32 (log1p.f32 x)))
(*.f32 (exp.f32 (log.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (+.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))))
(*.f32 (exp.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 x x)))))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(expm1.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1 binary32)))

simplify648.0ms (9.6%)

Memory
-131.4MiB live, 517.1MiB allocated
Algorithm
egg-herbie
Rules
10 204×accelerator-lowering-fma.f32
10 204×accelerator-lowering-fma.f64
3 650×*-lowering-*.f32
3 650×*-lowering-*.f64
2 854×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150559
1411533
21147526
33325488
47968488
08520459
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -1/2 binary32))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/2 binary32))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 5/128 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/2 binary32))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))

eval37.0ms (0.6%)

Memory
15.3MiB live, 91.2MiB allocated
Compiler

Compiled 11 369 to 1 568 computations (86.2% saved)

prune55.0ms (0.8%)

Memory
-16.5MiB live, 144.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3635368
Fresh000
Picked011
Done000
Total3636369
Accuracy
100.0%
Counts
369 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.2%
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
99.1%
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
99.0%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
57.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.1%
(log.f32 (+.f32 x x))
Compiler

Compiled 130 to 89 computations (31.5% saved)

simplify232.0ms (3.5%)

Memory
8.3MiB live, 434.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 x)
cost-diff0
(log.f32 #s(literal 2 binary32))
cost-diff0
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
cost-diff0
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
cost-diff0
(*.f32 x #s(literal 2 binary32))
cost-diff0
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
cost-diff0
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff0
(+.f32 x x)
cost-diff0
(log.f32 (+.f32 x x))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))
cost-diff0
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
cost-diff64
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
Rules
6 196×accelerator-lowering-fma.f32
6 196×accelerator-lowering-fma.f64
2 096×*-lowering-*.f32
2 096×*-lowering-*.f64
1 370×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031221
163209
2121209
3252209
4385209
5612209
61363209
74577209
08349197
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(log (+ x x))
(+ x x)
x
(log (+ x (+ x (/ -1/2 x))))
(+ x (+ x (/ -1/2 x)))
x
(+ x (/ -1/2 x))
(/ -1/2 x)
-1/2
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(* x 2)
x
2
(/ (- -1/2 (/ 1/8 (* x x))) x)
(- -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
(+ (log 2) (log x))
(log 2)
2
(log x)
x
Outputs
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x))))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x)))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))
2
#s(literal 2 binary32)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x (* x x)))
(*.f32 x (*.f32 x (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(log (+ x x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(+ x x)
(*.f32 x #s(literal 2 binary32))
x
(log (+ x (+ x (/ -1/2 x))))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(+ x (+ x (/ -1/2 x)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32)))
x
(+ x (/ -1/2 x))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
(* x 2)
(*.f32 x #s(literal 2 binary32))
x
2
#s(literal 2 binary32)
(/ (- -1/2 (/ 1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(- -1/2 (/ 1/8 (* x x)))
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(/ 1/8 (* x x))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
1/8
#s(literal 1/8 binary32)
(* x x)
(*.f32 x x)
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log 2)
(log.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(log x)
(log.f32 x)
x

localize231.0ms (3.4%)

Memory
4.2MiB live, 218.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f32 x)
accuracy100.0%
(log.f32 #s(literal 2 binary32))
accuracy99.0%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy100.0%
(*.f32 x #s(literal 2 binary32))
accuracy100.0%
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
accuracy99.2%
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
accuracy97.6%
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy99.9%
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy99.2%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy100.0%
(+.f32 x x)
accuracy99.3%
(log.f32 (+.f32 x x))
accuracy99.7%
(*.f32 x (*.f32 x x))
accuracy99.2%
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
accuracy98.7%
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
accuracy97.8%
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
Samples
184.0ms256×0valid
Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-div: 72.0ms (69.7% of total)
ival-log: 14.0ms (13.6% of total)
ival-add: 9.0ms (8.7% of total)
ival-mult: 7.0ms (6.8% of total)
ival-sub: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series164.0ms (2.4%)

Memory
12.0MiB live, 243.6MiB allocated
Counts
20 → 228
Calls
Call 1
Inputs
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (/ -1/2 x)>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (+ x (+ x (/ -1/2 x))))>
#<alt (+ x (+ x (/ -1/2 x)))>
#<alt (+ x (/ -1/2 x))>
#<alt (log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))>
#<alt (* x 2)>
#<alt (/ (- -1/2 (/ 1/8 (* x x))) x)>
#<alt (+ (log 2) (log x))>
#<alt (log 2)>
#<alt (log x)>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (/ 1/8 (* x x))>
Outputs
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
46.0ms
x
@0
(log (+ x x))
38.0ms
x
@-inf
(log (+ x x))
27.0ms
x
@-inf
(+ (log 2) (log x))
25.0ms
x
@0
(+ (log 2) (log x))
6.0ms
x
@inf
(log (+ x x))

rewrite608.0ms (9%)

Memory
-39.7MiB live, 932.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 798×accelerator-lowering-fma.f32
8 798×accelerator-lowering-fma.f64
4 534×/-lowering-/.f32
4 534×/-lowering-/.f64
3 544×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031163
1200155
22139155
08339139
Stop Event
iter limit
node limit
Counts
20 → 976
Calls
Call 1
Inputs
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(log (+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
(log (+ x x))
(+ x x)
(log (+ x (+ x (/ -1/2 x))))
(+ x (+ x (/ -1/2 x)))
(+ x (/ -1/2 x))
(log (+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- -1/2 (/ 1/8 (* x x))) x))
(* x 2)
(/ (- -1/2 (/ 1/8 (* x x))) x)
(+ (log 2) (log x))
(log 2)
(log x)
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(/ 1/8 (* x x))
Outputs
(+.f32 x (+.f32 x (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x)))))
(+.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 x #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 x x) #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 x x) (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) x) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 x (*.f32 x x)) (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 x (*.f32 x x)) (pow.f32 #s(literal 4 binary32) #s(literal 3/2 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 16 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 0 binary32))) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 3 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 3/2 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 8 binary32) (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 8 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 4 binary32) (*.f32 x x) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x (/.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 x (/.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 x (/.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 64 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)))) #s(literal 512 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 0 binary32))) #s(literal 3 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 64 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 16 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x x))))
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(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(*.f32 x (*.f32 x x))
(*.f32 (*.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 #s(literal 1/8 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/8 binary32) x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) x) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/8 binary32) x))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) x)) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) x))) (neg.f32 (neg.f32 x)))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/8 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) x) (/.f32 #s(literal 1 binary32) x))

simplify580.0ms (8.6%)

Memory
24.6MiB live, 929.9MiB allocated
Algorithm
egg-herbie
Rules
18 708×accelerator-lowering-fma.f32
18 708×accelerator-lowering-fma.f64
4 170×*-lowering-*.f32
4 170×*-lowering-*.f64
3 496×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02401914
16271807
216481733
342901714
082641649
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
Outputs
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))))))
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (*.f32 #s(literal -5 binary32) (log.f32 x)) (*.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (*.f32 #s(literal -5 binary32) (log.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal 6 binary32))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x))) (*.f32 (*.f32 x x) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 6 binary32) (*.f32 (*.f32 x x) #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
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(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))

eval152.0ms (2.3%)

Memory
19.0MiB live, 243.5MiB allocated
Compiler

Compiled 30 708 to 3 492 computations (88.6% saved)

prune171.0ms (2.6%)

Memory
-6.0MiB live, 438.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 23211 233
Fresh000
Picked055
Done011
Total1 23271 239
Accuracy
100.0%
Counts
1 239 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.2%
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
99.1%
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
44.1%
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
99.0%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
57.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.1%
(log.f32 (+.f32 x x))
Compiler

Compiled 77 to 53 computations (31.2% saved)

simplify3.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
Rules
+-lowering-+.f64
+-lowering-+.f32
log-lowering-log.f64
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1616
0616
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log (+ x (/ -1/2 x)))
(+ x (/ -1/2 x))
x
(/ -1/2 x)
-1/2
Outputs
(log (+ x (/ -1/2 x)))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+ x (/ -1/2 x))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)

localize31.0ms (0.5%)

Memory
5.7MiB live, 45.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
Samples
24.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 15.0ms (78.3% of total)
ival-log: 3.0ms (15.7% of total)
ival-add: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log (+ x (/ -1/2 x)))>
#<alt (+ x (/ -1/2 x))>
#<alt (/ -1/2 x)>
Outputs
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log (+ x (/ -1/2 x)))
0.0ms
x
@0
(log (+ x (/ -1/2 x)))
0.0ms
x
@-inf
(log (+ x (/ -1/2 x)))
0.0ms
x
@0
(+ x (/ -1/2 x))
0.0ms
x
@-inf
(+ x (/ -1/2 x))

rewrite183.0ms (2.7%)

Memory
-40.7MiB live, 328.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 790×accelerator-lowering-fma.f32
1 790×accelerator-lowering-fma.f64
1 718×*-lowering-*.f32
1 718×*-lowering-*.f64
1 544×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
12814
223814
0349914
Stop Event
iter limit
iter limit
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(log (+ x (/ -1/2 x)))
(+ x (/ -1/2 x))
(/ -1/2 x)
Outputs
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (neg.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (neg.f32 (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(-.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))) (log.f32 (neg.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(-.f32 (log.f32 (+.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))) #s(literal 3 binary32))) (+.f32 (*.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))) (+.f32 (*.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))) (*.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (+.f32 (*.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))) (+.f32 (*.f32 (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (*.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))) (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))) (+.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))) (*.f32 (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (+.f32 (log.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(neg.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (neg.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(neg.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 (+.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(+.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal -1 binary32))
(fma.f32 x #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 x (/.f32 x (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) x)
(fma.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) x)
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) x)
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(fma.f32 #s(literal 1 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)
(fma.f32 #s(literal -1 binary32) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x) x)
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(fma.f32 (pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)) x)
(fma.f32 (/.f32 (*.f32 x x) (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x))))
(/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (neg.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(/.f32 (+.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/512 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x)))))))
(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))) (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(/.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/512 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) (*.f32 (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))) (neg.f32 (neg.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(/.f32 (neg.f32 (+.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x))) (neg.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (*.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (+.f32 (/.f32 (*.f32 x x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))
(/.f32 (*.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/512 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))) (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(*.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(*.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (/.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(*.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))) (*.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(*.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))) (/.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))))
(*.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(*.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(*.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32)))))))
(*.f32 (+.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))))) (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(*.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 x #s(literal -1/2 binary32))) (*.f32 x x)))))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))) (+.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(*.f32 (/.f32 (+.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (-.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(neg.f32 (/.f32 #s(literal 1/2 binary32) x))
(neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(literal -1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x #s(literal 1/2 binary32)))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)))

simplify343.0ms (5.1%)

Memory
-7.2MiB live, 557.0MiB allocated
Algorithm
egg-herbie
Rules
8 824×accelerator-lowering-fma.f32
8 824×accelerator-lowering-fma.f64
2 518×*-lowering-*.f32
2 518×*-lowering-*.f64
2 274×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067288
1167268
2412250
31001248
43098248
57245248
08202242
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
Outputs
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (*.f32 x (*.f32 x #s(literal -2 binary32))) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x #s(literal -2 binary32))))) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x #s(literal -8/3 binary32)))))))) (log.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)

eval11.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated
Compiler

Compiled 3 109 to 431 computations (86.1% saved)

prune19.0ms (0.3%)

Memory
-19.6MiB live, 57.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1421143
Fresh000
Picked101
Done066
Total1437150
Accuracy
100.0%
Counts
150 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.2%
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
99.1%
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
99.0%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
57.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.1%
(log.f32 (+.f32 x x))
44.1%
(log.f32 x)
Compiler

Compiled 73 to 50 computations (31.5% saved)

simplify3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 x)
Rules
log-lowering-log.f64
log-lowering-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
023
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log x)
x
Outputs
(log x)
(log.f32 x)
x

localize13.0ms (0.2%)

Memory
-11.3MiB live, 30.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f32 x)
Samples
10.0ms256×0valid
Compiler

Compiled 5 to 4 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 3.0ms (88.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (log x)>
Outputs
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log x)
0.0ms
x
@-inf
(log x)
0.0ms
x
@inf
(log x)

rewrite7.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
log-lowering-log.f64
log-lowering-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
iter limit
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(log x)
Outputs
(log.f32 x)

simplify12.0ms (0.2%)

Memory
-17.7MiB live, 20.5MiB allocated
Algorithm
egg-herbie
Rules
96×accelerator-lowering-fma.f32
96×accelerator-lowering-fma.f64
64×*-lowering-*.f32
64×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
12044
22744
34544
46444
58244
611044
712944
817144
918644
1019444
019444
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))

eval1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Compiler

Compiled 47 to 7 computations (85.1% saved)

prune4.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done066
Total13720
Accuracy
100.0%
Counts
20 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.2%
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
99.1%
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
99.0%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
57.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.1%
(log.f32 (+.f32 x x))
44.1%
(log.f32 x)
Compiler

Compiled 146 to 87 computations (40.4% saved)

regimes11.0ms (0.2%)

Memory
-11.0MiB live, 27.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
Calls

3 calls:

4.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.2%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
Outputs
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
Outputs
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
-32.2MiB live, 6.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
Outputs
(log.f32 (+.f32 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f32 x)
Outputs
(log.f32 x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
44.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
egg-herbie
Rules
22×+-commutative_binary32
16×*-commutative_binary32
10×sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02952
14152
25052
35952
46652
57052
67152
Stop Event
saturated
Calls
Call 1
Inputs
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x x))
(log.f32 x)
Outputs
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x x))
(log.f32 x)

soundness674.0ms (10%)

Memory
-19.8MiB live, 497.6MiB allocated
Rules
18 708×accelerator-lowering-fma.f32
18 708×accelerator-lowering-fma.f64
10 204×accelerator-lowering-fma.f32
10 204×accelerator-lowering-fma.f64
8 824×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067288
1167268
2412250
31001248
43098248
57245248
08202242
02401914
16271807
216481733
342901714
082641649
0150559
1411533
21147526
33325488
47968488
08520459
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 88 to 53 computations (39.8% saved)

preprocess39.0ms (0.6%)

Memory
-4.0MiB live, 113.0MiB allocated
Compiler

Compiled 152 to 90 computations (40.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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