Details

Time bar (total: 5.8s)

analyze517.0ms (8.9%)

Algorithm
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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample64.0ms (1.1%)

Algorithm
intervals
Results
15.0ms47×body1024valid
11.0ms174×body128valid
4.0ms20×body512valid
2.0ms15×body256valid
1.0ms14×body128invalid
1.0msbody1024invalid
0.0msbody512invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-*r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series47.0ms (0.8%)

Counts
3 → 64
Calls

3 calls:

31.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
Counts
3 → 89
Calls

3 calls:

5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms
(/.f64 (sin.f64 y) y)

simplify115.0ms (2%)

Algorithm
egg-herbie
Rules
611×fma-def_binary64
563×associate-/l/_binary64
381×associate-/r*_binary64
381×associate-/r/_binary64
361×fma-neg_binary64
Counts
153 → 144
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune93.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1377144
Fresh000
Picked011
Done000
Total1378145
Error
0.0b
Counts
145 → 8
Alt Table
StatusErrorProgram
7.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.7b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
9.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
31.1b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
33.8b
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) y) 3)) z)
Compiler

Compiled 2246 to 753 computations (66.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b
(/.f64 (sin.f64 y) y)
3.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series40.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

28.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
12.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite38.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
165×times-frac_binary64
116×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64
43×associate-*r*_binary64
Counts
2 → 166
Calls

2 calls:

16.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
5.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

simplify169.0ms (2.9%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
466×fma-neg_binary64
365×*-commutative_binary64
259×associate-/l*_binary64
190×associate-/l/_binary64
Counts
226 → 272
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02844028
16713778
223133770
328983766
441303766
549673766
649683766

prune174.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3101311
Fresh066
Picked011
Done011
Total3109319
Error
0.0b
Counts
319 → 9
Alt Table
StatusErrorProgram
7.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
29.1b
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (cbrt.f64 z)))
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.7b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
9.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
31.1b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
33.8b
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) y) 3)) z)
Compiler

Compiled 6215 to 2031 computations (67.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 z (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series44.0ms (0.8%)

Counts
2 → 60
Calls

2 calls:

28.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
16.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite53.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 270
Calls

2 calls:

14.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

simplify266.0ms (4.6%)

Algorithm
egg-herbie
Rules
569×associate-/r/_binary64
420×fma-def_binary64
415×associate-/l/_binary64
387×associate-*l/_binary64
350×*-commutative_binary64
Counts
330 → 463
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04897995
111027743
239787730
342117727
449627727
549947727

prune308.0ms (5.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4993502
Fresh516
Picked011
Done202
Total5065511
Error
0b
Counts
511 → 5
Alt Table
StatusErrorProgram
13.3b
(*.f64 (/.f64 1 (/.f64 z (sin.f64 y))) (/.f64 x y))
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
9.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
7.1b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
2.4b
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
Compiler

Compiled 9974 to 2108 computations (78.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 1 (/.f64 (sin.f64 y) y))
2.3b
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

series33.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

26.0ms
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
6.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

rewrite180.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
1976×times-frac_binary64
849×*-un-lft-identity_binary64
849×add-sqr-sqrt_binary64
849×add-cube-cbrt_binary64
107×div-inv_binary64
Counts
2 → 741
Calls

2 calls:

19.0ms
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

simplify741.0ms (12.8%)

Algorithm
egg-herbie
Rules
548×associate-/r/_binary64
519×associate-/r*_binary64
488×associate-*l/_binary64
417×*-commutative_binary64
408×associate-*r/_binary64
Counts
789 → 997
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055723998
1145522120
2451322033
3454422031
4496422031
5496022031

prune530.0ms (9.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New103601036
Fresh033
Picked011
Done011
Total103651041
Error
0b
Counts
1041 → 5
Alt Table
StatusErrorProgram
13.3b
(*.f64 (/.f64 1 (/.f64 z (sin.f64 y))) (/.f64 x y))
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
9.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
7.1b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
2.4b
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
Compiler

Compiled 26349 to 8806 computations (66.6% saved)

regimes787.0ms (13.6%)

Accuracy

Total 0.4b remaining (94.3%)

Threshold costs 0.4b (94.3%)

Counts
85 → 3
Compiler

Compiled 10695 to 6197 computations (42.1% saved)

bsearch60.0ms (1%)

Steps
ItersRangePoint
8
1.0061807928673242e-19
3.614794137995474e-17
2.0504899839305107e-17
8
-3.0770598740971134e-127
-3.542928750613773e-137
-2.8388904751584647e-127
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02048
12148
22148

end1.0ms (0%)

Compiler

Compiled 35 to 18 computations (48.6% saved)

sample1.5s (25.5%)

Algorithm
intervals
Results
482.0ms1433×body1024valid
347.0ms5372×body128valid
164.0ms787×body512valid
60.0ms406×body256valid
34.0ms509×body128invalid
13.0ms52×body512invalid
5.0ms38×body256invalid
5.0ms15×body1024invalid
1.0msbody2048valid
Compiler

Compiled 109 to 68 computations (37.6% saved)

Profiling

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