Details

Time bar (total: 6.4s)

analyze2.2s (35%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14
Compiler

Compiled 41 to 30 computations (26.8% saved)

sample2.8s (43%)

Results
1.7s8256×body128valid
1.0s5123×body128invalid
Compiler

Compiled 122 to 89 computations (27% saved)

simplify49.0ms (0.8%)

Algorithm
egg-herbie
Rules
829×fma-neg_binary64
433×exp-sum_binary64
321×distribute-rgt-in_binary64
303×distribute-lft-in_binary64
279×unsub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03047
15542
213640
351240
4210640
5452040
6499240

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
1.2b
(/.f64 x (fma.f64 y (pow.f64 (exp.f64 2) (fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))) x))
Compiler

Compiled 135 to 87 computations (35.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b
(/.f64 2/3 t)
0.6b
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))
5.4b
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

series125.0ms (1.9%)

Counts
4 → 88
Calls

4 calls:

57.0ms
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))
37.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
28.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
1.0ms
(/.f64 2/3 t)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
Counts
4 → 91
Calls

4 calls:

5.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
5.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
3.0ms
(/.f64 2/3 t)
0.0ms
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))

simplify116.0ms (1.8%)

Algorithm
egg-herbie
Rules
801×times-frac_binary64
430×cancel-sign-sub-inv_binary64
324×fma-neg_binary64
272×sub-neg_binary64
270×fma-def_binary64
Counts
179 → 189
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03214150
18643932
229923925
348653924
449563924

prune189.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1881189
Fresh000
Picked011
Done000
Total1882190
Error
0.0b
Counts
190 → 2
Alt Table
StatusErrorProgram
1.2b
(/.f64 x (fma.f64 y (pow.f64 (exp.f64 2) (fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))) x))
13.5b
(/.f64 x (fma.f64 y (pow.f64 (exp.f64 2) (fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (*.f64 (sqrt.f64 (/.f64 1 t)) z))) x))
Compiler

Compiled 6913 to 3481 computations (49.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 1 t))
0.2b
(*.f64 (sqrt.f64 (/.f64 1 t)) z)
0.4b
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (*.f64 (sqrt.f64 (/.f64 1 t)) z))
0.4b
(/.f64 2/3 t)

series64.0ms (1%)

Counts
3 → 51
Calls

3 calls:

46.0ms
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (*.f64 (sqrt.f64 (/.f64 1 t)) z))
13.0ms
(*.f64 (sqrt.f64 (/.f64 1 t)) z)
5.0ms
(sqrt.f64 (/.f64 1 t))

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
29×sqrt-prod_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
Counts
3 → 77
Calls

3 calls:

5.0ms
(*.f64 (sqrt.f64 (/.f64 1 t)) z)
2.0ms
(sqrt.f64 (/.f64 1 t))
0.0ms
(fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (*.f64 (sqrt.f64 (/.f64 1 t)) z))

simplify86.0ms (1.3%)

Algorithm
egg-herbie
Rules
659×distribute-rgt-in_binary64
617×distribute-lft-in_binary64
462×fma-neg_binary64
279×sub-neg_binary64
268×fma-def_binary64
Counts
128 → 119
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01322796
12922685
28622514
322302438
452672438

prune150.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh000
Picked011
Done011
Total1522154
Error
0.0b
Counts
154 → 2
Alt Table
StatusErrorProgram
1.2b
(/.f64 x (fma.f64 y (pow.f64 (exp.f64 2) (fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t))) x))
13.5b
(/.f64 x (fma.f64 y (pow.f64 (exp.f64 2) (fma.f64 (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)) (-.f64 c b) (*.f64 (sqrt.f64 (/.f64 1 t)) z))) x))
Compiler

Compiled 4703 to 2941 computations (37.5% saved)

regimes495.0ms (7.7%)

Accuracy

Total 0.7b remaining (42.5%)

Threshold costs 0.7b (42.5%)

Counts
35 → 1
Compiler

Compiled 13262 to 9595 computations (27.7% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02440
13140
24240
34640
44840
54740

end71.0ms (1.1%)

Compiler

Compiled 134 to 92 computations (31.3% saved)

Profiling

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