2-ancestry mixing, negative discriminant

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze212.0ms (3.5%)

Memory
-41.7MiB live, 148.1MiB allocated; 172ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample2.0s (32.9%)

Memory
23.6MiB live, 2 772.4MiB allocated; 510ms collecting garbage
Samples
1.3s8 256×0valid
271.0ms1 164×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 585.0ms (47.3% of total)
ival-div: 254.0ms (20.5% of total)
ival-mult: 153.0ms (12.4% of total)
ival-acos: 99.0ms (8% of total)
ival-pi: 42.0ms (3.4% of total)
ival-add: 41.0ms (3.3% of total)
ival-neg: 39.0ms (3.2% of total)
exact: 10.0ms (0.8% of total)
ival-true: 6.0ms (0.5% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain197.0ms (3.3%)

Memory
-0.2MiB live, 240.9MiB allocated; 44ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
00-0-(acos.f64 (/.f64 (neg.f64 g) h))
00-0-(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
00-0-#s(literal 3 binary64)
00-0-(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
00-0-(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
00-0-(neg.f64 g)
00-0-#s(literal 2 binary64)
00-0-g
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-h
00-0-(/.f64 (neg.f64 g) h)
00-0-(PI.f64)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
68.0ms512×0valid
Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 14.0ms (31.8% of total)
ival-div: 10.0ms (22.7% of total)
ival-mult: 7.0ms (15.9% of total)
ival-neg: 5.0ms (11.4% of total)
ival-acos: 4.0ms (9.1% of total)
ival-pi: 2.0ms (4.5% of total)
ival-add: 2.0ms (4.5% of total)
exact: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess163.0ms (2.7%)

Memory
-2.4MiB live, 141.1MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03066
17966
215066
333466
477566
5160366
6243666
7451864
01416
02414
14214
27714
315214
429714
544414
647114
752814
866714
970414
1091314
11210714
12491114
13612014
0808913
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) #s(literal 2 binary64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify109.0ms (1.8%)

Memory
20.2MiB live, 158.9MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
cost-diff1
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
cost-diff2
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
02468
14266
27766
315266
429766
544466
647166
752866
866766
970466
1091366
11210766
12491166
13612066
0808963
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h

localize55.0ms (0.9%)

Memory
-10.8MiB live, 132.9MiB allocated; 11ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.953125
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy0.9765625
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
accuracy0.98046875
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
accuracy1.0
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (26.7% of total)
ival-cos: 6.0ms (26.7% of total)
ival-div: 5.0ms (22.2% of total)
ival-acos: 2.0ms (8.9% of total)
ival-pi: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-neg: 1.0ms (4.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-20.7MiB live, 26.0MiB allocated; 3ms collecting garbage
Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
Outputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(* 1/3 (acos (* -1 (/ g h))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
h
@-inf
((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
2.0ms
h
@inf
((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
2.0ms
g
@0
((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
2.0ms
g
@inf
((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
1.0ms
g
@-inf
((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))

simplify127.0ms (2.1%)

Memory
5.9MiB live, 192.6MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
13544
27044
311344
415244
516344
619244
724944
826644
939144
10107341
11291741
12568441
13738441
0838840
Stop Event
1×iter limit
1×node limit
Counts
4 → 4
Calls
Call 1
Inputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(* 1/3 (acos (* -1 (/ g h))))
Outputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -4/3 binary64) (PI.f64))))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite174.0ms (2.9%)

Memory
18.9MiB live, 184.7MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
02433
19127
268319
0935918
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 119
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
Outputs
#s(literal 0 binary64)
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -3 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) #s(literal 27 binary64))) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal -9 binary64))
(*.f64 (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64)) #s(literal -3 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64)) (fma.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))

eval38.0ms (0.6%)

Memory
-6.4MiB live, 40.0MiB allocated; 1ms collecting garbage
Compiler

Compiled 3 918 to 596 computations (84.8% saved)

prune3.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122
Accuracy
98.5%
Counts
122 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.6%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
▶98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Compiler

Compiled 67 to 60 computations (10.4% saved)

simplify136.0ms (2.2%)

Memory
-5.0MiB live, 175.4MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff0
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
cost-diff1
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
cost-diff0
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
cost-diff0
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff0
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
cost-diff0
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
cost-diff0
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035233
051222
197222
2191222
3348222
4652222
51044222
61514222
71745222
82454222
93375222
105427222
08025218
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
#s(literal 2 binary64)
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(*.f64 (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)

localize117.0ms (1.9%)

Memory
-7.5MiB live, 89.8MiB allocated; 19ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 g)
accuracy0.0
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.96484375
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
accuracy0.0
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy0.0234375
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy0.98046875
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
accuracy1.0
(*.f64 (PI.f64) #s(literal 2/3 binary64))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
accuracy0.0078125
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.95703125
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
Samples
100.0ms256×0valid
Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-acos: 28.0ms (32.9% of total)
ival-cos: 22.0ms (25.9% of total)
ival-mult: 10.0ms (11.8% of total)
ival-neg: 8.0ms (9.4% of total)
const: 6.0ms (7.1% of total)
ival-div: 5.0ms (5.9% of total)
ival-add: 3.0ms (3.5% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-12.2MiB live, 30.7MiB allocated; 12ms collecting garbage
Counts
15 → 12
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Calls

6 calls:

TimeVariablePointExpression
8.0ms
h
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
4.0ms
g
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
3.0ms
g
@0
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
3.0ms
g
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
3.0ms
h
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))

simplify130.0ms (2.1%)

Memory
38.3MiB live, 180.6MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
156109
2105109
3165109
4221109
5228109
6263109
7340109
8385109
9634109
101738104
114553104
127621104
08201103
Stop Event
1×iter limit
1×node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64)))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -2/3 binary64) (PI.f64))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite257.0ms (4.2%)

Memory
-6.2MiB live, 364.7MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035191
051180
1188180
21535180
08355176
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 795
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(cos.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(*.f64 (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal -3 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -3 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(neg.f64 g)

eval152.0ms (2.5%)

Memory
26.8MiB live, 446.0MiB allocated; 53ms collecting garbage
Compiler

Compiled 35 662 to 3 465 computations (90.3% saved)

prune51.0ms (0.8%)

Memory
-27.4MiB live, 96.1MiB allocated; 18ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New8303833
Fresh000
Picked123
Done000
Total8315836
Accuracy
100.0%
Counts
836 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.6%
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
✓98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
▶98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
✓98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Compiler

Compiled 128 to 111 computations (13.3% saved)

simplify149.0ms (2.5%)

Memory
8.7MiB live, 143.7MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
cost-diff0
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
cost-diff3
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
cost-diff1
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
cost-diff3
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038229
058216
192216
2157216
3265206
4436201
5565197
6604197
7689197
8877197
9967197
101455197
113756197
126688197
08176195
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(neg.f64 (acos.f64 (/.f64 g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)

localize115.0ms (1.9%)

Memory
7.7MiB live, 150.8MiB allocated; 18ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 g)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.96484375
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.953125
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy0.96484375
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.0078125
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
accuracy0.02734375
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
accuracy0.02734375
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
accuracy0.95703125
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
Samples
85.0ms256×0valid
Compiler

Compiled 204 to 35 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (34.7% of total)
ival-cos: 11.0ms (15.9% of total)
ival-div: 8.0ms (11.6% of total)
ival-sin: 7.0ms (10.1% of total)
const: 6.0ms (8.7% of total)
ival-acos: 4.0ms (5.8% of total)
ival-sub: 3.0ms (4.3% of total)
ival-add: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
-2.7MiB live, 42.6MiB allocated; 9ms collecting garbage
Counts
16 → 15
Calls
Call 1
Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
Outputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Calls

6 calls:

TimeVariablePointExpression
12.0ms
g
@0
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms
g
@inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms
h
@inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms
g
@-inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms
h
@-inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))

simplify131.0ms (2.2%)

Memory
-29.1MiB live, 160.3MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034129
178129
2138129
3216129
4298129
5332129
6377129
7475129
8561129
9991129
102706127
116287127
08220124
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Outputs
(* -1 (acos (/ g h)))
(neg.f64 (acos.f64 (/.f64 g h)))
(* -1/3 (acos (/ g h)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(*.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(* -1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (PI) (acos (/ g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite287.0ms (4.7%)

Memory
38.3MiB live, 376.2MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038189
058170
1204170
21349170
08102168
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 274
Calls
Call 1
Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
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(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
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(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
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(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(neg.f64 g)

eval77.0ms (1.3%)

Memory
-26.3MiB live, 73.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 407 to 1 253 computations (89.9% saved)

prune4.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2212223
Fresh000
Picked303
Done112
Total2253228
Accuracy
100.0%
Counts
228 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
▶98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify133.0ms (2.2%)

Memory
14.3MiB live, 149.0MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff0
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
cost-diff0
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
cost-diff0
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
cost-diff0
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
cost-diff0
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045276
062272
197272
2150272
3246264
4403260
5522260
6608256
7780256
8831256
91088256
102460256
115253256
127148256
08308250
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)

localize138.0ms (2.3%)

Memory
-21.7MiB live, 165.4MiB allocated; 23ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.953125
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy0.96484375
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.0
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
accuracy0.0078125
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
accuracy0.95703125
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
Samples
113.0ms256×0valid
Compiler

Compiled 168 to 37 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 35.0ms (39.7% of total)
ival-mult: 18.0ms (20.4% of total)
ival-cos: 9.0ms (10.2% of total)
ival-sin: 7.0ms (7.9% of total)
const: 6.0ms (6.8% of total)
ival-acos: 4.0ms (4.5% of total)
ival-add: 3.0ms (3.4% of total)
ival-sub: 3.0ms (3.4% of total)
ival-pi: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
24.8MiB live, 24.7MiB allocated; 0ms collecting garbage
Counts
11 → 8
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(- (acos (* -1 (/ g h))) (PI))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
g
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
g
@0
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
h
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
g
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
h
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))

simplify141.0ms (2.3%)

Memory
10.2MiB live, 107.3MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02886
16286
211686
318186
424686
526186
630486
738286
845386
982786
10237784
11564484
12788484
0866481
Stop Event
1×iter limit
1×node limit
Counts
8 → 8
Calls
Call 1
Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(- (acos (* -1 (/ g h))) (PI))
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(* -1/3 (acos (/ g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(*.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite257.0ms (4.2%)

Memory
-67.8MiB live, 337.2MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045245
062237
1217237
21438237
08381231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 103
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(cos.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))

eval42.0ms (0.7%)

Memory
25.7MiB live, 68.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 054 to 748 computations (90.7% saved)

prune13.0ms (0.2%)

Memory
7.9MiB live, 53.8MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked022
Done011
Total1093112
Accuracy
100.0%
Counts
112 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
✓100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
✓98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Compiler

Compiled 348 to 168 computations (51.7% saved)

regimes29.0ms (0.5%)

Memory
-31.7MiB live, 70.0MiB allocated; 8ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
Calls

9 calls:

7.0ms
g
3.0ms
h
3.0ms
(neg.f64 g)
3.0ms
(/.f64 (neg.f64 g) h)
2.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
Results
AccuracySegmentsBranch
100.0%1(neg.f64 g)
100.0%1(/.f64 (neg.f64 g) h)
100.0%1(acos.f64 (/.f64 (neg.f64 g) h))
100.0%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
100.0%1(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
100.0%1(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
100.0%1(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
100.0%1g
100.0%1h
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes20.0ms (0.3%)

Memory
5.0MiB live, 49.9MiB allocated; 3ms collecting garbage
Accuracy

Total -62.0b remaining (-6509.8%)

Threshold costs -62b (-6509.8%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Calls

9 calls:

4.0ms
(neg.f64 g)
2.0ms
h
2.0ms
g
2.0ms
(/.f64 (neg.f64 g) h)
2.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
98.5%1(neg.f64 g)
98.5%1(/.f64 (neg.f64 g) h)
98.5%1(acos.f64 (/.f64 (neg.f64 g) h))
98.5%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
98.5%1(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
98.5%1(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
98.5%1(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
98.5%1g
98.5%1h
Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify36.0ms (0.6%)

Memory
15.3MiB live, 62.5MiB allocated; 2ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04579
17479
212179
321777
441376
559376
680576
7272176
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

derivations465.0ms (7.7%)

Memory
-10.9MiB live, 368.9MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034129
178129
2138129
3216129
4298129
5332129
6377129
7475129
8561129
9991129
102706127
116287127
08220124
035191
051180
1188180
21535180
08355176
01544
13544
27044
311344
415244
516344
619244
724944
826644
939144
10107341
11291741
12568441
13738441
0838840
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess22.0ms (0.4%)

Memory
36.4MiB live, 36.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 198 to 120 computations (39.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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