Details

Time bar (total: 3.5s)

analyze362.0ms (10.2%)

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
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms23×body128invalid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify103.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
0489713
1489713

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 53 to 51 computations (3.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 times-frac_binary64
associate-/l/_binary64 pow1_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64
flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 35
Calls

2 calls:

11.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
7.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))

series109.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
47.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))

simplify71.0ms (2%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05369845

prune60.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh011
Picked101
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2
Compiler

Compiled 1001 to 729 computations (27.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
0.0b
(-.f64 (/.f64 x y) (/.f64 z y))

rewrite46.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
47×times-frac_binary64
45×*-un-lft-identity_binary64
39×cancel-sign-sub-inv_binary64
29×add-cube-cbrt_binary64
14×distribute-lft-in_binary64 distribute-rgt-in_binary64
12×associate-*r*_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
div-inv_binary64
add-log-exp_binary64 pow1_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 associate-*l*_binary64
flip3--_binary64 distribute-rgt-out--_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 94
Calls

2 calls:

21.0ms
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
16.0ms
(-.f64 (/.f64 x y) (/.f64 z y))

series109.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
48.0ms
(-.f64 (/.f64 x y) (/.f64 z y))

simplify74.0ms (2.1%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049611370
149611370

prune78.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh101
Picked011
Done000
Total993102

Merged error: 0b

Counts
102 → 3
Compiler

Compiled 1696 to 732 computations (56.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x z) y)
0.0b
(*.f64 4 (/.f64 (-.f64 x z) y))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
pow1_binary64
associate-/r*_binary64 associate-*l*_binary64
associate-/l/_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 *-commutative_binary64
Counts
2 → 76
Calls

2 calls:

14.0ms
(*.f64 4 (/.f64 (-.f64 x z) y))
7.0ms
(/.f64 (-.f64 x z) y)

series111.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 4 (/.f64 (-.f64 x z) y))
46.0ms
(/.f64 (-.f64 x z) y)

simplify73.0ms (2.1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049311063
149311063

prune67.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh101
Picked011
Done011
Total82385

Merged error: 0b

Counts
85 → 3
Compiler

Compiled 1386 to 615 computations (55.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (cbrt.f64 (/.f64 (-.f64 x z) y)))
2.7b
(cbrt.f64 (/.f64 (-.f64 x z) y))
2.7b
(cbrt.f64 (/.f64 (-.f64 x z) y))
2.7b
(cbrt.f64 (/.f64 (-.f64 x z) y))

rewrite69.0ms (2%)

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod_binary64
141×add-sqr-sqrt_binary64
135×*-un-lft-identity_binary64
123×times-frac_binary64
75×add-cube-cbrt_binary64
28×swap-sqr_binary64
27×distribute-lft-out--_binary64
22×associate-*r*_binary64 associate-*l*_binary64
21×difference-of-squares_binary64
11×pow1_binary64
pow1/3_binary64 unswap-sqr_binary64
cbrt-div_binary64 div-inv_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 186
Calls

4 calls:

26.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (cbrt.f64 (/.f64 (-.f64 x z) y)))
5.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))
5.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))
5.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))

series1.1s (30.5%)

Counts
4 → 12
Calls

4 calls:

315.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (cbrt.f64 (/.f64 (-.f64 x z) y)))
257.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))
253.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))
253.0ms
(cbrt.f64 (/.f64 (-.f64 x z) y))

simplify129.0ms (3.6%)

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048854591
148854591

prune218.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh000
Picked011
Done022
Total1983201

Merged error: 0b

Counts
201 → 3
Compiler

Compiled 6383 to 1742 computations (72.7% saved)

regimes34.0ms (1%)

Compiler

Compiled 138 to 111 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample631.0ms (17.8%)

Algorithm
intervals
Results
323.0ms8000×body128valid
35.0ms910×body128invalid
Compiler

Compiled 67 to 56 computations (16.4% saved)

Profiling

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