Details

Time bar (total: 4.5s)

analyze482.0ms (10.8%)

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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample27.0ms (0.6%)

Algorithm
intervals
Results
13.0ms256×body128valid
1.0ms12×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify198.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
024110
124110

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.8b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7602
associate-*r*_binary64_7520 add-cbrt-cube_binary64_7616 *-un-lft-identity_binary64_7580 pow1_binary64_7641 add-cube-cbrt_binary64_7615 associate-*l*_binary64_7521 add-exp-log_binary64_7618
distribute-lft-in_binary64_7529 sub-neg_binary64_7573 distribute-rgt-in_binary64_7530 associate-*r/_binary64_7522 cancel-sign-sub-inv_binary64_7546
add-log-exp_binary64_7619 pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 flip--_binary64_7555 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 *-commutative_binary64_7511 flip3--_binary64_7584
Counts
1 → 24
Calls

1 calls:

12.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

series71.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

71.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify107.0ms (2.4%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04868322
14868322

prune61.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New19827
Fresh000
Picked101
Done000
Total20828

Merged error: 4.9b

Counts
28 → 8
Compiler

Compiled 427 to 237 computations (44.5% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.1b
(*.f64 x (neg.f64 (*.f64 y z)))

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
associate-*r*_binary64_7520
add-sqr-sqrt_binary64_7602
add-cbrt-cube_binary64_7616 *-un-lft-identity_binary64_7580 pow1_binary64_7641 add-cube-cbrt_binary64_7615 associate-*l*_binary64_7521 add-exp-log_binary64_7618
add-log-exp_binary64_7619 pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 distribute-rgt-neg-out_binary64_7540 neg-mul-1_binary64_7576 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 distribute-lft-neg-in_binary64_7537 *-commutative_binary64_7511 distribute-rgt-neg-in_binary64_7538
Counts
1 → 22
Calls

1 calls:

9.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

series44.0ms (1%)

Counts
1 → 3
Calls

1 calls:

44.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify126.0ms (2.8%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
04805252
14805252

prune41.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24125
Fresh527
Picked011
Done000
Total29433

Merged error: 0.0b

Counts
33 → 4
Compiler

Compiled 335 to 115 computations (65.7% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

5.9b
(*.f64 (*.f64 x y) (neg.f64 z))

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64_7520
add-cbrt-cube_binary64_7616 pow1_binary64_7641 add-exp-log_binary64_7618
add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
pow-prod-down_binary64_7651 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 distribute-lft-neg-in_binary64_7537 distribute-rgt-neg-in_binary64_7538
add-log-exp_binary64_7619 distribute-rgt-neg-out_binary64_7540 neg-mul-1_binary64_7576 *-commutative_binary64_7511 associate-*l*_binary64_7521
Counts
1 → 26
Calls

1 calls:

13.0ms
(*.f64 (*.f64 x y) (neg.f64 z))

series52.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

51.0ms
(*.f64 (*.f64 x y) (neg.f64 z))

simplify148.0ms (3.3%)

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 0 (122.0ms)

IterNodesCost
04846286
14846286

prune46.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New27229
Fresh022
Picked011
Done011
Total27633

Merged error: 0.0b

Counts
33 → 6
Compiler

Compiled 384 to 133 computations (65.4% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
2.0b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))
4.1b
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite70.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64_7641 add-exp-log_binary64_7618
26×add-cbrt-cube_binary64_7616
21×pow-prod-down_binary64_7651 cbrt-unprod_binary64_7613 prod-exp_binary64_7629
17×associate-*r*_binary64_7520
12×cbrt-prod_binary64_7611
11×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
distribute-lft-neg-in_binary64_7537 distribute-rgt-neg-in_binary64_7538
add-log-exp_binary64_7619
pow1/3_binary64_7662 *-commutative_binary64_7511 associate-*l*_binary64_7521
distribute-rgt-neg-out_binary64_7540 neg-mul-1_binary64_7576
Counts
4 → 85
Calls

4 calls:

30.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))
19.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
2.0ms
(cbrt.f64 z)
2.0ms
(cbrt.f64 z)

series566.0ms (12.7%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
162.0ms
(cbrt.f64 z)
146.0ms
(cbrt.f64 z)
85.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))

simplify163.0ms (3.6%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
049961026
149961026

prune124.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh033
Picked011
Done022
Total967103

Merged error: 0.0b

Counts
103 → 7
Compiler

Compiled 1507 to 509 computations (66.2% saved)

regimes630.0ms (14.1%)

Compiler

Compiled 2111 to 1572 computations (25.5% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
08840
18840

end0.0ms (0%)

sample1.4s (31.4%)

Algorithm
intervals
Results
409.0ms8000×body128valid
26.0ms547×body128invalid
Compiler

Compiled 313 to 227 computations (27.5% saved)

Profiling

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