Details

Time bar (total: 5.9s)

analyze1.2s (19.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
12.5%87.3%0.2%8
12.5%87.3%0.2%9
18.7%81.1%0.2%10
23.4%76.4%0.2%11
31.6%68.2%0.2%12
34.5%64.9%0.6%13
40.3%59.2%0.6%14
Compiler

Compiled 20 to 14 computations (30% saved)

sample1.9s (31.7%)

Results
1.4s8256×body128valid
414.0ms3237×body128invalid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify91.0ms (1.5%)

Algorithm
egg-herbie
Rules
871×distribute-rgt-in_binary64
685×div-sub_binary64
652×distribute-lft-in_binary64
409×distribute-neg-frac_binary64
395×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01222
12522
25822
310922
422320
543716
687614
7209814
8232014
9245114
10304214
11322614
12332714
13491314

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
4.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
5.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 95 to 62 computations (34.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
0.2b
(/.f64 y (*.f64 z 3))
0.5b
(*.f64 (*.f64 z 3) y)
7.9b
(/.f64 t (*.f64 (*.f64 z 3) y))

series76.0ms (1.3%)

Counts
4 → 132
Calls

4 calls:

28.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
23.0ms
(/.f64 y (*.f64 z 3))
20.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
4.0ms
(*.f64 (*.f64 z 3) y)

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
29×associate-+l+_binary64
27×add-sqr-sqrt_binary64
25×add-cube-cbrt_binary64
23×add-cbrt-cube_binary64
Counts
4 → 121
Calls

4 calls:

12.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
5.0ms
(*.f64 (*.f64 z 3) y)
4.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
3.0ms
(/.f64 y (*.f64 z 3))

simplify116.0ms (2%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
317×associate-/l/_binary64
254×distribute-rgt-in_binary64
243×fma-neg_binary64
235×distribute-lft-in_binary64
Counts
253 → 200
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02144171
16013297
220652964
344982964
448762964

prune229.0ms (3.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1937200
Fresh011
Picked101
Done000
Total1948202
Error
0.0b
Counts
202 → 8
Alt Table
StatusErrorProgram
4.5b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
30.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z 3)) (/.f64 (sqrt.f64 t) y)))
4.5b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
23.4b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (sqrt.f64 (/.f64 t (*.f64 (*.f64 z 3) y))) (sqrt.f64 (/.f64 t (*.f64 (*.f64 z 3) y)))))
29.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
5.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
4.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 z (*.f64 3 y))))
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
Compiler

Compiled 5192 to 3012 computations (42% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
0.2b
(/.f64 y (*.f64 z 3))
0.4b
(/.f64 t (*.f64 z 3))
4.4b
(/.f64 (/.f64 t (*.f64 z 3)) y)

series56.0ms (0.9%)

Counts
3 → 108
Calls

3 calls:

29.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
19.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
8.0ms
(/.f64 t (*.f64 z 3))

rewrite34.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
48×times-frac_binary64
44×*-un-lft-identity_binary64
39×add-sqr-sqrt_binary64
37×add-cube-cbrt_binary64
29×associate-+l+_binary64
Counts
3 → 126
Calls

3 calls:

15.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
6.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
3.0ms
(/.f64 t (*.f64 z 3))

simplify94.0ms (1.6%)

Algorithm
egg-herbie
Rules
755×associate-/l*_binary64
531×associate-/l/_binary64
508×fma-def_binary64
216×distribute-rgt-in_binary64
210×associate-/r/_binary64
Counts
234 → 214
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503420
16523138
218963026
350743026

prune258.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2454249
Fresh437
Picked011
Done000
Total2498257
Error
0b
Counts
257 → 8
Alt Table
StatusErrorProgram
4.5b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
4.5b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
29.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
4.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (/.f64 y (/.f64 1 (*.f64 z 3)))))
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
5.4b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 1 z) (*.f64 1/3 (/.f64 t y))))
1.0b
(-.f64 x (fma.f64 1/3 (/.f64 y z) (/.f64 (*.f64 -1/3 (/.f64 t z)) y)))
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
Compiler

Compiled 6286 to 3563 computations (43.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
0.2b
(/.f64 (/.f64 t z) 3)
0.2b
(/.f64 y (*.f64 z 3))
4.4b
(/.f64 (/.f64 (/.f64 t z) 3) y)

series59.0ms (1%)

Counts
3 → 108
Calls

3 calls:

31.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
21.0ms
(/.f64 (/.f64 (/.f64 t z) 3) y)
8.0ms
(/.f64 (/.f64 t z) 3)

rewrite97.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
480×times-frac_binary64
252×*-un-lft-identity_binary64
247×add-sqr-sqrt_binary64
245×add-cube-cbrt_binary64
56×associate-/l*_binary64
Counts
3 → 319
Calls

3 calls:

41.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
12.0ms
(/.f64 (/.f64 (/.f64 t z) 3) y)
4.0ms
(/.f64 (/.f64 t z) 3)

simplify248.0ms (4.2%)

Algorithm
egg-herbie
Rules
511×fma-def_binary64
403×associate-/r/_binary64
308×associate-/r*_binary64
259×associate-/l/_binary64
234×fma-neg_binary64
Counts
427 → 471
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05728565
113548310
228448217
348668217
448558217

prune492.0ms (8.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5051506
Fresh156
Picked101
Done011
Total5077514
Error
0b
Counts
514 → 7
Alt Table
StatusErrorProgram
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t z) (/.f64 1/3 y)))
4.5b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
4.5b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
29.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
5.4b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 1 z) (*.f64 1/3 (/.f64 t y))))
1.0b
(-.f64 x (fma.f64 1/3 (/.f64 y z) (/.f64 (*.f64 -1/3 (/.f64 t z)) y)))
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
Compiler

Compiled 13773 to 7112 computations (48.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t z) (/.f64 1/3 y)))
0.2b
(/.f64 y (*.f64 z 3))
0.4b
(/.f64 1/3 y)
4.5b
(*.f64 (/.f64 t z) (/.f64 1/3 y))

series52.0ms (0.9%)

Counts
3 → 84
Calls

3 calls:

30.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t z) (/.f64 1/3 y)))
20.0ms
(*.f64 (/.f64 t z) (/.f64 1/3 y))
2.0ms
(/.f64 1/3 y)

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
43×times-frac_binary64
43×*-un-lft-identity_binary64
41×add-cube-cbrt_binary64
29×associate-+l+_binary64
Counts
3 → 136
Calls

3 calls:

10.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t z) (/.f64 1/3 y)))
9.0ms
(*.f64 (/.f64 t z) (/.f64 1/3 y))
2.0ms
(/.f64 1/3 y)

simplify121.0ms (2%)

Algorithm
egg-herbie
Rules
753×fma-def_binary64
463×times-frac_binary64
384×fma-neg_binary64
361×distribute-rgt-in_binary64
177×*-commutative_binary64
Counts
220 → 219
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02703385
17363067
222872982
348982982
449762982

prune229.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2531254
Fresh145
Picked011
Done011
Total2547261
Error
0b
Counts
261 → 7
Alt Table
StatusErrorProgram
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t z) (/.f64 1/3 y)))
4.5b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
4.5b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
5.4b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (*.f64 1/3 (/.f64 t y)) z))
29.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
1.0b
(-.f64 x (fma.f64 1/3 (/.f64 y z) (/.f64 (*.f64 -1/3 (/.f64 t z)) y)))
0.9b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
Compiler

Compiled 6451 to 3464 computations (46.3% saved)

regimes397.0ms (6.7%)

Accuracy

Total 1.6b remaining (98.6%)

Threshold costs 0b (0%)

Counts
62 → 1
Compiler

Compiled 7323 to 5099 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11722
22422
32822
43122
53222
63222

end107.0ms (1.8%)

Compiler

Compiled 168 to 116 computations (31% saved)

Profiling

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