Details

Time bar (total: 7.6s)

analyze1.1s (14.2%)

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
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample31.0ms (0.4%)

Algorithm
intervals
Results
12.0ms256×body128valid
3.0ms62×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify149.0ms (2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03013
13013

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite42.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_3510 add-log-exp_binary64_3527
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488 pow1_binary64_3549
flip-+_binary64_3462 flip3-+_binary64_3491 associate-*l*_binary64_3429 associate-*r*_binary64_3428
associate-*l/_binary64_3431 +-commutative_binary64_3418 sum-log_binary64_3579
unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
3 → 42
Calls

3 calls:

15.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
14.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
8.0ms
(+.f64 (*.f64 x y) z)

series213.0ms (2.8%)

Counts
3 → 9
Calls

3 calls:

114.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
61.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
38.0ms
(+.f64 (*.f64 x y) z)

simplify70.0ms (0.9%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05443719

prune86.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New44751
Fresh000
Picked011
Done000
Total44852

Merged error: 0.0b

Counts
52 → 8
Compiler

Compiled 887 to 240 computations (72.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite66.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3519
23×add-sqr-sqrt_binary64_3510
18×cbrt-div_binary64_3520
15×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
11×pow1_binary64_3549
flip-+_binary64_3462 flip3-+_binary64_3491 pow1/3_binary64_3570
swap-sqr_binary64_3455 add-exp-log_binary64_3526 associate-*l*_binary64_3429 associate-*r*_binary64_3428
unswap-sqr_binary64_3456 add-cbrt-cube_binary64_3524 frac-times_binary64_3498 add-log-exp_binary64_3527
associate-*l/_binary64_3431 pow-prod-up_binary64_3558 associate-*r/_binary64_3430 pow-prod-down_binary64_3559 pow-sqr_binary64_3461
cbrt-unprod_binary64_3521 pow2_binary64_3569 pow-plus_binary64_3551 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 87
Calls

4 calls:

25.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series809.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

271.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
186.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
180.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
170.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify147.0ms (1.9%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
049161769
149161769

prune185.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh156
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8
Compiler

Compiled 3074 to 672 computations (78.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite30.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3519
23×add-sqr-sqrt_binary64_3510
15×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
11×pow1_binary64_3549
pow1/3_binary64_3570
swap-sqr_binary64_3455 add-exp-log_binary64_3526 associate-*l*_binary64_3429 associate-*r*_binary64_3428
unswap-sqr_binary64_3456 add-cbrt-cube_binary64_3524 add-log-exp_binary64_3527
pow-prod-up_binary64_3558 pow-prod-down_binary64_3559 pow-sqr_binary64_3461
cbrt-unprod_binary64_3521 pow2_binary64_3569 pow-plus_binary64_3551 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 73
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)

series625.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
153.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)
137.0ms
(cbrt.f64 y)

simplify105.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04892563
14892563

prune131.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0.0b

Counts
93 → 8
Compiler

Compiled 1709 to 507 computations (70.3% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite44.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_3519
add-sqr-sqrt_binary64_3510 add-cube-cbrt_binary64_3523 cbrt-div_binary64_3520 *-un-lft-identity_binary64_3488
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 flip-+_binary64_3462 flip3-+_binary64_3491 add-log-exp_binary64_3527 pow1/3_binary64_3570 pow1_binary64_3549
Counts
4 → 52
Calls

4 calls:

10.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
7.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series799.0ms (10.5%)

Counts
4 → 12
Calls

4 calls:

214.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
205.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
202.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
178.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify141.0ms (1.9%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
048581004
148581004

prune141.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New63164
Fresh044
Picked011
Done033
Total63972

Merged error: 0.0b

Counts
72 → 9
Compiler

Compiled 2640 to 558 computations (78.9% saved)

regimes488.0ms (6.4%)

Compiler

Compiled 3022 to 1832 computations (39.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample2.1s (27.9%)

Algorithm
intervals
Results
778.0ms8000×body128valid
113.0ms1879×body128invalid
Compiler

Compiled 516 to 316 computations (38.8% saved)

Profiling

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