Details

Time bar (total: 7.5s)

analyze443.0ms (5.9%)

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)

sample36.0ms (0.5%)

Algorithm
intervals
Results
9.0ms46×body1024valid
9.0ms165×body128valid
4.0ms26×body512valid
2.0ms19×body256valid
0.0msbody128invalid
0.0msbody1024invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
2.8b
Counts
1 → 1
Alt Table
StatusErrorProgram
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite106.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×add-cube-cbrt_binary64 *-un-lft-identity_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
Counts
3 → 83
Calls

3 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1208 to 315 computations (73.9% saved)

series91.0ms (1.2%)

Error
2.8b
Counts
3 → 27
Calls

3 calls:

45.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
24.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 766 to 510 computations (33.4% saved)

simplify130.0ms (1.7%)

Algorithm
egg-herbie
Rules
510×cancel-sign-sub-inv_binary64
488×associate-*l*_binary64
440×associate-*r*_binary64
385×associate-/r/_binary64
369×associate-/r*_binary64
Counts
110 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621632
14031449
214031443
338601443
448791443
549921443
649411443

prune46.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New55661
Fresh000
Picked011
Done000
Total55762
Error
0.0b
Counts
62 → 7
Alt Table
StatusErrorProgram
7.6b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
8.6b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) z)
31.9b
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))) z)
8.2b
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
12.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))))
11.5b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
Compiler

Compiled 817 to 324 computations (60.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
2.8b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
4.0b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

rewrite126.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
54×add-exp-log_binary64
40×add-cbrt-cube_binary64
39×add-sqr-sqrt_binary64
31×times-frac_binary64
23×add-cube-cbrt_binary64 *-un-lft-identity_binary64
Counts
4 → 115
Calls

4 calls:

15.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
12.0ms
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 2731 to 464 computations (83% saved)

series131.0ms (1.7%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

52.0ms
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
33.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
16.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
Compiler

Compiled 970 to 628 computations (35.3% saved)

simplify109.0ms (1.5%)

Algorithm
egg-herbie
Rules
246×log-prod_binary64
238×cube-prod_binary64
233×associate-/l*_binary64
230×log-div_binary64
217×cube-div_binary64
Counts
142 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02193456
16052032
225972015
340252015
449822015

prune59.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh055
Picked011
Done011
Total1128120
Error
0.0b
Counts
120 → 8
Alt Table
StatusErrorProgram
7.6b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
8.6b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) z)
31.9b
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))) z)
8.6b
(/.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
8.2b
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
12.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))))
11.5b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
Compiler

Compiled 1567 to 588 computations (62.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 x (sin.f64 y))
0.6b
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
2.7b
(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
8.6b
(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite257.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
234×times-frac_binary64
109×add-sqr-sqrt_binary64
107×add-cube-cbrt_binary64 *-un-lft-identity_binary64
54×add-exp-log_binary64
36×associate-/r*_binary64
Counts
4 → 223
Calls

4 calls:

11.0ms
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
6.0ms
(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
5.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
4.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 4379 to 1425 computations (67.5% saved)

series156.0ms (2.1%)

Error
0.0b
Counts
4 → 42
Calls

4 calls:

48.0ms
(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
46.0ms
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
24.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
18.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 1326 to 894 computations (32.6% saved)

simplify300.0ms (4%)

Algorithm
egg-herbie
Rules
384×cancel-sign-sub-inv_binary64
289×sub-neg_binary64
245×associate-/r/_binary64
189×distribute-rgt-neg-in_binary64
176×neg-mul-1_binary64
Counts
265 → 198
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02815435
16384843
224874711
334714705
446324705
549874705
650004705
749264705

prune94.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1944198
Fresh325
Picked011
Done112
Total1988206
Error
0b
Counts
206 → 8
Alt Table
StatusErrorProgram
8.7b
(*.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (/.f64 1 y))
11.6b
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 (*.f64 y z)))
4.3b
(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
8.6b
(/.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
8.2b
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
8.7b
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
11.5b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
Compiler

Compiled 1817 to 599 computations (67% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.6b
(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
3.6b
(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))

rewrite1.1s (14.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
2564×times-frac_binary64
1114×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
190×associate-/r*_binary64
139×div-inv_binary64
61×add-exp-log_binary64
Counts
3 → 974
Calls

3 calls:

38.0ms
(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
13.0ms
(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 26551 to 8139 computations (69.3% saved)

series120.0ms (1.6%)

Error
0b
Counts
3 → 30
Calls

3 calls:

49.0ms
(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))
44.0ms
(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
10.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 935 to 632 computations (32.4% saved)

simplify880.0ms (11.7%)

Algorithm
egg-herbie
Rules
734×associate-*l/_binary64
539×associate-/r*_binary64
524×associate-/r/_binary64
508×associate-*r/_binary64
237×associate-/l/_binary64
Counts
1004 → 907
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078532399
1193429465
2481829465
3499529465
4498229465

prune306.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New9052907
Fresh235
Picked101
Done022
Total9087915
Error
0b
Counts
915 → 7
Alt Table
StatusErrorProgram
11.6b
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 (*.f64 y z)))
2.8b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.9b
(*.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))
8.2b
(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
8.7b
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
11.5b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
3.9b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
Compiler

Compiled 10259 to 1759 computations (82.9% saved)

regimes1.7s (22.9%)

Accuracy

Total 0.2b remaining (91.4%)

Threshold costs 0.2b (91.4%)

Compiler

Compiled 15669 to 9564 computations (39% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02376
12776
22676

end1.0ms (0%)

Compiler

Compiled 53 to 21 computations (60.4% saved)

sample1.3s (16.8%)

Algorithm
intervals
Results
294.0ms1329×body1024valid
291.0ms5413×body128valid
130.0ms831×body512valid
45.0ms422×body256valid
29.0ms528×body128invalid
8.0ms40×body256invalid
8.0ms51×body512invalid
5.0ms24×body1024invalid
2.0msbody2048valid
Compiler

Compiled 151 to 87 computations (42.4% saved)

Profiling

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