Details

Time bar (total: 7.2s)

analyze223.0ms (3.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.8s (25.3%)

Results
1.5s8256×body128valid
260.0ms549×body128invalid
Compiler

Compiled 56 to 50 computations (10.7% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×fma-def_binary64
7×sub-neg_binary64
6×*-commutative_binary64
5×+-commutative_binary64
5×div-sub_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01526
12623
24021
34921
45621
56321
67421
77321
86221

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 61 to 49 computations (19.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓1.0b
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series33.0ms (0.5%)

Counts
3 → 72
Calls

3 calls:

20.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
5.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

rewrite183.0ms (2.6%)

Algorithm
3×egg-rewrite
Rules
48×egg
35×egg
29×egg
Counts
3 → 112
Calls

3 calls:

72.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
56.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
53.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11829
220349
349999
01218
126116
2288516
3514016
01116
124214
2266014
3484514

simplify54.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
18×fma-def_binary64
8×sub-neg_binary64
5×+-commutative_binary64
5×*-commutative_binary64
4×fma-neg_binary64
Counts
184 → 115
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141080
1221080
2311080
3371080
4431080
5491080
6541080
7591080
8671080
9641080
10551080

prune85.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh000
Picked011
Done000
Total1142116
Error
0.0b
Counts
116 → 2
Alt Table
StatusErrorProgram
✓1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶0.8b
(*.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))))
Compiler

Compiled 2163 to 1380 computations (36.2% saved)

localize92.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))
✓0.0b
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
✓1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)
✓1.0b
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))

series3.6s (50.9%)

Counts
4 → 96
Calls

4 calls:

2.4s
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))
1.2s
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
29.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))
5.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite256.0ms (3.6%)

Algorithm
4×egg-rewrite
Rules
33×egg
27×egg
24×egg
24×egg
Counts
4 → 108
Calls

4 calls:

91.0ms
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))
62.0ms
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
54.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3)))
46.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123616
2281616
3508616
079
11579
219659
349689
01320
126820
2315020
3565820
01422
128419
2332119
3490319
4495719

simplify184.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
540×fma-def_binary64
473×sqr-pow_binary64
434×unswap-sqr_binary64
301×*-commutative_binary64
299×pow-sqr_binary64
Counts
204 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0141560
1211560
2301536
3401536
4631536
51101536
62161536
75321536
812721536
917991536
1020771536
1124131536
1229921536
1349761536
1446861536

prune356.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2890289
Fresh000
Picked011
Done011
Total2892291
Error
0.0b
Counts
291 → 2
Alt Table
StatusErrorProgram
✓1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓0.8b
(*.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))))))
Compiler

Compiled 13992 to 9167 computations (34.5% saved)

regimes118.0ms (1.6%)

Accuracy

Total 1.2b remaining (97.2%)

Threshold costs 0b (0%)

Counts
8 → 1
Compiler

Compiled 2191 to 1717 computations (21.6% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
12368
22368

end96.0ms (1.3%)

Compiler

Compiled 145 to 107 computations (26.2% saved)

Profiling

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