Details

Time bar (total: 6.5s)

analyze1.4s (22%)

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)

sample1.8s (27.9%)

Results
1.2s8256×body128valid
484.0ms3119×body128invalid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify97.0ms (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

prune6.0ms (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
7.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
2.6b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
Compiler

Compiled 95 to 62 computations (34.7% saved)

localize13.0ms (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 (*.f64 z 3) y)
0.2b
(/.f64 y (*.f64 z 3))
6.5b
(/.f64 t (*.f64 (*.f64 z 3) y))

series67.0ms (1%)

Counts
4 → 132
Calls

4 calls:

36.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
19.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
7.0ms
(/.f64 y (*.f64 z 3))
4.0ms
(*.f64 (*.f64 z 3) y)

rewrite35.0ms (0.5%)

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:

11.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
6.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
4.0ms
(*.f64 (*.f64 z 3) y)
3.0ms
(/.f64 y (*.f64 z 3))

simplify126.0ms (1.9%)

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

prune242.0ms (3.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1928200
Fresh101
Picked101
Done000
Total1948202
Error
0.0b
Counts
202 → 8
Alt Table
StatusErrorProgram
2.6b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
2.6b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 3 (*.f64 y z))))
31.6b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 (sqrt.f64 t) (*.f64 z 3)))))
2.6b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
2.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 z 3)) (/.f64 (cbrt.f64 t) y)))
7.5b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 t (/.f64 1/3 (*.f64 y z))))
Compiler

Compiled 5196 to 3010 computations (42.1% saved)

localize9.0ms (0.1%)

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 t (*.f64 z 3))
0.2b
(/.f64 y (*.f64 z 3))
3.6b
(/.f64 (/.f64 t (*.f64 z 3)) y)

series72.0ms (1.1%)

Counts
3 → 108
Calls

3 calls:

39.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
26.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
7.0ms
(/.f64 t (*.f64 z 3))

rewrite34.0ms (0.5%)

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))
5.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
4.0ms
(/.f64 t (*.f64 z 3))

simplify101.0ms (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

prune287.0ms (4.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2472249
Fresh347
Picked101
Done000
Total2516257
Error
0b
Counts
257 → 6
Alt Table
StatusErrorProgram
2.6b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
7.5b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
2.6b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 t (/.f64 1/3 (*.f64 y z))))
Compiler

Compiled 6227 to 3520 computations (43.5% saved)

localize18.0ms (0.3%)

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 y (*.f64 z 3))
0.3b
(/.f64 (/.f64 t z) 3)
3.6b
(/.f64 (/.f64 (/.f64 t z) 3) y)

series60.0ms (0.9%)

Counts
3 → 108
Calls

3 calls:

27.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
27.0ms
(/.f64 (/.f64 (/.f64 t z) 3) y)
6.0ms
(/.f64 (/.f64 t z) 3)

rewrite113.0ms (1.7%)

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:

43.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
14.0ms
(/.f64 (/.f64 (/.f64 t z) 3) y)
8.0ms
(/.f64 (/.f64 t z) 3)

simplify283.0ms (4.3%)

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

prune527.0ms (8.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5060506
Fresh055
Picked011
Done000
Total5066512
Error
0b
Counts
512 → 6
Alt Table
StatusErrorProgram
2.6b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
7.5b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
2.6b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 t (/.f64 1/3 (*.f64 y z))))
Compiler

Compiled 13737 to 7086 computations (48.4% saved)

localize16.0ms (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)) (/.f64 1 y)))
0.2b
(/.f64 t (*.f64 z 3))
0.2b
(/.f64 y (*.f64 z 3))
3.6b
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

series52.0ms (0.8%)

Counts
2 → 84
Calls

2 calls:

31.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
22.0ms
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

rewrite40.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64
36×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
29×associate-+l+_binary64
27×add-cube-cbrt_binary64
Counts
2 → 113
Calls

2 calls:

14.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
11.0ms
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

simplify129.0ms (2%)

Algorithm
egg-herbie
Rules
819×fma-def_binary64
393×distribute-rgt-in_binary64
313×fma-neg_binary64
210×exp-prod_binary64
184×associate-*l*_binary64
Counts
197 → 187
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473292
16773052
223532925
345082925
448622925

prune274.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2580258
Fresh044
Picked011
Done011
Total2586264
Error
0b
Counts
264 → 6
Alt Table
StatusErrorProgram
2.6b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
1.2b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
7.5b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
2.6b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 t (/.f64 1/3 (*.f64 y z))))
Compiler

Compiled 6977 to 4172 computations (40.2% saved)

regimes570.0ms (8.7%)

Accuracy

Total 1.5b remaining (98.6%)

Threshold costs 0b (0%)

Counts
74 → 1
Compiler

Compiled 9683 to 6696 computations (30.8% saved)

simplify3.0ms (0%)

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
11822
22522
32922
43222
53322
63322

end95.0ms (1.5%)

Compiler

Compiled 152 to 105 computations (30.9% saved)

Profiling

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