Details

Time bar (total: 2.9s)

analyze60.0ms (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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify176.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
025010
125010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 x y) (-.f64 1 y))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_423 add-sqr-sqrt_binary64_445
cancel-sign-sub-inv_binary64_389 pow1_binary64_484 associate-*r*_binary64_363 add-exp-log_binary64_461 add-cbrt-cube_binary64_459
distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 add-cube-cbrt_binary64_458
pow-prod-down_binary64_494 prod-exp_binary64_472 cbrt-unprod_binary64_456
sub-neg_binary64_416 associate-*r/_binary64_365 difference-of-squares_binary64_392
associate-*l*_binary64_364 flip3--_binary64_427 *-commutative_binary64_354 distribute-lft-out--_binary64_375 add-log-exp_binary64_462 flip--_binary64_398
Counts
1 → 31
Calls

1 calls:

11.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))

series73.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

72.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))

simplify62.0ms (2.1%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05133390

prune82.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New28634
Fresh000
Picked101
Done000
Total29635

Merged error: 0.0b

Counts
35 → 6
Compiler

Compiled 1245 to 830 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
0.2b
(*.f64 (*.f64 x y) (neg.f64 y))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64_363
pow1_binary64_484 add-exp-log_binary64_461 add-cbrt-cube_binary64_459
*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
add-log-exp_binary64_462
pow-prod-down_binary64_494 prod-exp_binary64_472 distribute-lft-neg-in_binary64_380 cbrt-unprod_binary64_456 distribute-rgt-neg-in_binary64_381
distribute-rgt-neg-out_binary64_383
associate-*l*_binary64_364 flip-+_binary64_397 +-commutative_binary64_353 *-commutative_binary64_354 flip3-+_binary64_426 neg-mul-1_binary64_419 unsub-neg_binary64_417 sum-log_binary64_514
Counts
2 → 38
Calls

2 calls:

7.0ms
(*.f64 (*.f64 x y) (neg.f64 y))
5.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))

series135.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

86.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
49.0ms
(*.f64 (*.f64 x y) (neg.f64 y))

simplify83.0ms (2.8%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04868495
14868495

prune37.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh145
Picked011
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6
Compiler

Compiled 729 to 256 computations (64.9% saved)

localize9.0ms (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)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_454
23×add-sqr-sqrt_binary64_445
15×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
11×pow1_binary64_484
pow1/3_binary64_505
associate-*l*_binary64_364 swap-sqr_binary64_390 associate-*r*_binary64_363 add-exp-log_binary64_461
add-cbrt-cube_binary64_459 add-log-exp_binary64_462 unswap-sqr_binary64_391
pow-prod-down_binary64_494 pow-sqr_binary64_396 pow-prod-up_binary64_493
prod-exp_binary64_472 *-commutative_binary64_354 pow-plus_binary64_486 pow2_binary64_504 cbrt-unprod_binary64_456
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series633.0ms (21.5%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
163.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)
147.0ms
(cbrt.f64 y)

simplify52.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05245563

prune91.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7
Compiler

Compiled 2062 to 721 computations (65% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
1.1b
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_454
11×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
unpow-prod-down_binary64_502
pow1_binary64_484 add-exp-log_binary64_461
pow1/3_binary64_505 add-cbrt-cube_binary64_459 add-log-exp_binary64_462
pow-unpow_binary64_500
pow-pow_binary64_495
pow-to-exp_binary64_492 pow-exp_binary64_491 sqr-pow_binary64_395
Counts
4 → 57
Calls

4 calls:

5.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series757.0ms (25.7%)

Counts
4 → 12
Calls

4 calls:

312.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)
156.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)
137.0ms
(cbrt.f64 y)

simplify48.0ms (1.6%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04824595
14824595

prune70.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done022
Total69776

Merged error: 0.0b

Counts
76 → 7
Compiler

Compiled 1703 to 628 computations (63.1% saved)

regimes30.0ms (1%)

Compiler

Compiled 202 to 144 computations (28.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04413
14413

end0.0ms (0%)

sample443.0ms (15.1%)

Algorithm
intervals
Results
180.0ms8000×body128valid
4.0ms168×body128invalid
Compiler

Compiled 116 to 82 computations (29.3% saved)

Profiling

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