Details

Time bar (total: 4.9s)

analyze502.0ms (10.1%)

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)

sample61.0ms (1.2%)

Algorithm
intervals
Results
14.0ms44×body1024valid
11.0ms176×body128valid
4.0ms21×body512valid
2.0ms15×body256valid
1.0ms24×body128invalid
0.0msbody256invalid
0.0msbody512invalid
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
3.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.5b
(/.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 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
3.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series44.0ms (0.9%)

Counts
3 → 64
Calls

3 calls:

28.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite16.0ms (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)

simplify122.0ms (2.5%)

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 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune97.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1397146
Fresh000
Picked101
Done000
Total1407147
Error
0.0b
Counts
147 → 7
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y)) z)
2.8b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
34.4b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
3.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.7b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
10.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 2283 to 756 computations (66.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
1.5b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series931.0ms (18.8%)

Counts
4 → 96
Calls

4 calls:

820.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
43.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
39.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
29.0ms
(cbrt.f64 z)

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
56×add-exp-log_binary64
44×add-sqr-sqrt_binary64
39×add-cbrt-cube_binary64
26×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
Counts
4 → 147
Calls

4 calls:

10.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
4.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)

simplify150.0ms (3%)

Algorithm
egg-herbie
Rules
737×fma-def_binary64
420×fma-neg_binary64
198×times-frac_binary64
194×associate-/l*_binary64
192×log-prod_binary64
Counts
243 → 243
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02444825
15953465
225173381
340023373
448873373
549853373

prune164.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2781279
Fresh066
Picked011
Done000
Total2788286
Error
0b
Counts
286 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y)) z)
2.8b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
10.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.1b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
34.4b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
3.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.7b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 6005 to 1654 computations (72.5% saved)

localize6.0ms (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)
3.0b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series50.0ms (1%)

Counts
2 → 60
Calls

2 calls:

32.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
18.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite47.0ms (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:

10.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

simplify283.0ms (5.7%)

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

prune239.0ms (4.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5011502
Fresh156
Picked011
Done101
Total5037510
Error
0b
Counts
510 → 7
Alt Table
StatusErrorProgram
10.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.1b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
10.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
7.7b
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y)) z)
3.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.7b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 10018 to 2136 computations (78.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
2.9b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

series27.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

27.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×times-frac_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
1 → 52
Calls

1 calls:

8.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

simplify81.0ms (1.6%)

Algorithm
egg-herbie
Rules
622×associate-*l/_binary64
563×associate-*r/_binary64
526×associate-/l*_binary64
481×associate-*l*_binary64
315×times-frac_binary64
Counts
88 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351429
13711301
211211297
342971297
446621297
549771297

prune75.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done011
Total1287135
Error
0b
Counts
135 → 7
Alt Table
StatusErrorProgram
10.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.1b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
10.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
7.7b
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y)) z)
3.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.7b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 2060 to 546 computations (73.5% saved)

regimes413.0ms (8.4%)

Accuracy

Total 0.2b remaining (90.5%)

Threshold costs 0.2b (90.5%)

Counts
45 → 3
Compiler

Compiled 4161 to 2503 computations (39.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02257
13057
22957

end1.0ms (0%)

Compiler

Compiled 40 to 20 computations (50% saved)

sample1.6s (31.4%)

Algorithm
intervals
Results
520.0ms1404×body1024valid
386.0ms5417×body128valid
153.0ms808×body512valid
47.0ms369×body256valid
40.0ms544×body128invalid
10.0ms57×body512invalid
6.0ms51×body256invalid
4.0ms13×body1024invalid
1.0msbody2048valid
Compiler

Compiled 136 to 84 computations (38.2% saved)

Profiling

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