Details

Time bar (total: 3.0s)

analyze436.0ms (14.4%)

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
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample20.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify172.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0147
1147

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 21
Calls

1 calls:

15.0ms
(*.f64 (+.f64 x y) z)

series62.0ms (2%)

Counts
1 → 3
Calls

1 calls:

61.0ms
(*.f64 (+.f64 x y) z)

simplify74.0ms (2.4%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05386223

prune42.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0b

Counts
25 → 4
Compiler

Compiled 575 to 283 computations (50.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)
0.3b
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
4.1b
(sqrt.f64 (*.f64 (+.f64 x y) z))
4.1b
(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite41.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
61×pow1_binary64
32×sqrt-pow1_binary64
23×pow-prod-down_binary64
20×associate-*l/_binary64
16×sqrt-div_binary64
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 pow1/2_binary64
10×pow-prod-up_binary64 add-cube-cbrt_binary64
flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64
pow-sqr_binary64 sqrt-prod_binary64
add-log-exp_binary64 swap-sqr_binary64 frac-times_binary64
cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
distribute-lft-out_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 104
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
7.0ms
(*.f64 (+.f64 x y) z)
5.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
5.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))

series447.0ms (14.7%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
163.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
55.0ms
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
47.0ms
(*.f64 (+.f64 x y) z)

simplify85.0ms (2.8%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048811252
148811252

prune81.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh112
Picked011
Done011
Total1164120

Merged error: 0b

Counts
120 → 4
Compiler

Compiled 1853 to 497 computations (73.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (+.f64 x y) (sqrt.f64 z))
0.1b
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r*_binary64
11×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 sqrt-prod_binary64
associate-*l/_binary64
associate-*l*_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
flip3-+_binary64 add-log-exp_binary64 unswap-sqr_binary64 flip-+_binary64 *-commutative_binary64
distribute-lft-out_binary64
Counts
2 → 48
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
8.0ms
(*.f64 (+.f64 x y) (sqrt.f64 z))

series159.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

89.0ms
(*.f64 (+.f64 x y) (sqrt.f64 z))
70.0ms
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))

simplify62.0ms (2%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05052625

prune30.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh011
Picked011
Done022
Total54458

Merged error: 0b

Counts
58 → 4
Compiler

Compiled 685 to 174 computations (74.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.2b
(+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))
1.5b
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
7.8b
(*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
36.7b
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

rewrite65.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×distribute-lft-out_binary64 add-cube-cbrt_binary64
associate-*r*_binary64
add-log-exp_binary64 unpow-prod-down_binary64 cube-prod_binary64 associate-+r+_binary64
pow1_binary64 cancel-sign-sub-inv_binary64
flip3-+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
associate-*r/_binary64
associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
associate-/l/_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 sum-cubes_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
pow-prod-down_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

20.0ms
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
19.0ms
(*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
12.0ms
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))

series527.0ms (17.4%)

Counts
4 → 12
Calls

4 calls:

287.0ms
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
150.0ms
(*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
56.0ms
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
34.0ms
(+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))

simplify40.0ms (1.3%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050431837

prune100.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done033
Total1014105

Merged error: 0b

Counts
105 → 4
Compiler

Compiled 2500 to 1038 computations (58.5% saved)

regimes58.0ms (1.9%)

Compiler

Compiled 252 to 201 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample448.0ms (14.8%)

Algorithm
intervals
Results
173.0ms8000×body128valid
12.0ms571×body128invalid
Compiler

Compiled 57 to 47 computations (17.5% saved)

Profiling

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