Details

Time bar (total: 4.4s)

analyze1.2s (26.9%)

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)

sample1.5s (34.1%)

Results
1.0s8256×body128valid
395.0ms3122×body128invalid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify88.0ms (2%)

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
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
2.7b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 95 to 62 computations (34.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 y (/.f64 t y))
0.4b
(/.f64 -1/3 z)
2.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

series29.0ms (0.6%)

Counts
3 → 54
Calls

3 calls:

22.0ms
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
5.0ms
(-.f64 y (/.f64 t y))
1.0ms
(/.f64 -1/3 z)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt_binary64
55×*-un-lft-identity_binary64
53×add-cube-cbrt_binary64
46×times-frac_binary64
39×prod-diff_binary64
Counts
3 → 110
Calls

3 calls:

6.0ms
(-.f64 y (/.f64 t y))
2.0ms
(/.f64 -1/3 z)
0.0ms
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

simplify95.0ms (2.1%)

Algorithm
egg-herbie
Rules
421×associate-/l*_binary64
411×associate-*l/_binary64
388×associate-*r/_binary64
368×times-frac_binary64
350×fma-def_binary64
Counts
164 → 137
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02442830
15661960
212561654
344141654
448411654

prune128.0ms (2.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1289137
Fresh011
Picked101
Done000
Total12910139
Error
0.0b
Counts
139 → 10
Alt Table
StatusErrorProgram
2.7b
(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
30.8b
(*.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))
2.8b
(+.f64 (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) x)
2.6b
(-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
41.7b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
2.7b
(fma.f64 (/.f64 -1/3 z) (+.f64 y (*.f64 (neg.f64 t) (/.f64 1 y))) x)
12.7b
(fma.f64 (/.f64 y z) -1/3 x)
31.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
3.0b
(fma.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 3595 to 1303 computations (63.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
0.3b
(*.f64 1/3 (/.f64 y z))
0.3b
(*.f64 1/3 (/.f64 t (*.f64 y z)))
4.9b
(/.f64 t (*.f64 y z))

series70.0ms (1.6%)

Counts
4 → 15
Calls

4 calls:

27.0ms
(-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
19.0ms
(*.f64 1/3 (/.f64 t (*.f64 y z)))
17.0ms
(/.f64 t (*.f64 y z))
6.0ms
(*.f64 1/3 (/.f64 y z))

rewrite27.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
23×add-cbrt-cube_binary64
23×add-exp-log_binary64
20×associate-*r*_binary64
19×*-un-lft-identity_binary64
Counts
4 → 110
Calls

4 calls:

7.0ms
(-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
5.0ms
(*.f64 1/3 (/.f64 y z))
5.0ms
(*.f64 1/3 (/.f64 t (*.f64 y z)))
3.0ms
(/.f64 t (*.f64 y z))

simplify108.0ms (2.4%)

Algorithm
egg-herbie
Rules
570×times-frac_binary64
427×associate-/l*_binary64
387×fma-def_binary64
356×associate-/r*_binary64
228×distribute-rgt-in_binary64
Counts
125 → 152
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02001927
15101647
215641586
348111584
449821584
549991584
649431584

prune142.0ms (3.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh369
Picked101
Done000
Total1548162
Error
0b
Counts
162 → 8
Alt Table
StatusErrorProgram
0.9b
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
2.8b
(+.f64 (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) x)
41.7b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
31.2b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
2.6b
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) (fma.f64 (/.f64 y z) -1/3 x))
2.7b
(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
3.0b
(fma.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 3636 to 1670 computations (54.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
0.3b
(*.f64 1/3 (/.f64 y z))
0.4b
(/.f64 1/3 y)
4.2b
(*.f64 (/.f64 1/3 y) (/.f64 t z))

series50.0ms (1.1%)

Counts
3 → 84
Calls

3 calls:

29.0ms
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
20.0ms
(*.f64 (/.f64 1/3 y) (/.f64 t z))
1.0ms
(/.f64 1/3 y)

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt_binary64
31×times-frac_binary64
27×*-un-lft-identity_binary64
27×add-cube-cbrt_binary64
17×add-cbrt-cube_binary64
Counts
3 → 105
Calls

3 calls:

8.0ms
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
7.0ms
(*.f64 (/.f64 1/3 y) (/.f64 t z))
2.0ms
(/.f64 1/3 y)

simplify134.0ms (3%)

Algorithm
egg-herbie
Rules
425×associate-/l*_binary64
423×fma-def_binary64
271×fma-neg_binary64
232×distribute-rgt-in_binary64
225×distribute-lft-in_binary64
Counts
189 → 168
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052900
15552601
216882542
347272540
449862540
549922540
649412540

prune179.0ms (4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2081209
Fresh167
Picked011
Done000
Total2098217
Error
0b
Counts
217 → 8
Alt Table
StatusErrorProgram
0.9b
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
2.8b
(+.f64 (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) x)
2.7b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
41.7b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))
2.6b
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) (fma.f64 (/.f64 y z) -1/3 x))
2.7b
(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
3.0b
(fma.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 4924 to 2496 computations (49.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (/.f64 y z) -1/3 x)
0.3b
(*.f64 1/3 (/.f64 t (*.f64 y z)))
4.9b
(/.f64 t (*.f64 y z))

series11.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(fma.f64 (/.f64 y z) -1/3 x)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (/.f64 y z) -1/3 x)

simplify48.0ms (1.1%)

Algorithm
egg-herbie
Rules
659×fma-def_binary64
622×distribute-rgt-in_binary64
581×distribute-lft-in_binary64
459×associate-*l/_binary64
151×div-sub_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021430
134359
265359
3208359
4854359
54643359
65040359

prune78.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh066
Picked011
Done011
Total81889
Error
0b
Counts
89 → 8
Alt Table
StatusErrorProgram
0.9b
(-.f64 (+.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) x) (*.f64 1/3 (/.f64 y z)))
2.8b
(+.f64 (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) x)
2.7b
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
41.7b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))
2.6b
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) (fma.f64 (/.f64 y z) -1/3 x))
2.7b
(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
3.0b
(fma.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 1696 to 756 computations (55.4% saved)

regimes360.0ms (8.1%)

Accuracy

Total 1.7b remaining (98.7%)

Threshold costs 0b (0%)

Counts
59 → 1
Compiler

Compiled 6274 to 4221 computations (32.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11520
21520

end101.0ms (2.3%)

Compiler

Compiled 171 to 116 computations (32.2% saved)

Profiling

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