Details

Time bar (total: 3.5s)

analyze463.0ms (13.4%)

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample28.0ms (0.8%)

Algorithm
intervals
Results
15.0ms256×body128valid
1.0ms23×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify306.0ms (8.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
071815
171815

prune9.0ms (0.3%)

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 32 to 28 computations (12.5% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b
(/.f64 (+.f64 x 4) y)
2.7b
(*.f64 (/.f64 x y) z)

rewrite47.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_414
25×add-sqr-sqrt_binary64_435
22×times-frac_binary64_420
20×add-cube-cbrt_binary64_446
13×associate-*l*_binary64_357
10×add-exp-log_binary64_449 add-cbrt-cube_binary64_447
pow1_binary64_472 add-log-exp_binary64_450
distribute-lft-out_binary64_367 associate-/l*_binary64_361
associate-*l/_binary64_359 associate-*r*_binary64_356 associate-/r*_binary64_360
div-inv_binary64_411 cbrt-undiv_binary64_445 prod-exp_binary64_460 unswap-sqr_binary64_382 cbrt-unprod_binary64_444 associate-/l/_binary64_363 div-exp_binary64_462
flip3--_binary64_418 clear-num_binary64_413 flip3-+_binary64_417 diff-log_binary64_503 *-commutative_binary64_347 frac-sub_binary64_423 pow-prod-down_binary64_482 sub-neg_binary64_407 flip-+_binary64_388 frac-2neg_binary64_425 flip--_binary64_389 sub-div_binary64_421
Counts
3 → 78
Calls

3 calls:

17.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
10.0ms
(*.f64 (/.f64 x y) z)
9.0ms
(/.f64 (+.f64 x 4) y)

series220.0ms (6.4%)

Counts
3 → 9
Calls

3 calls:

107.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
62.0ms
(*.f64 (/.f64 x y) z)
51.0ms
(/.f64 (+.f64 x 4) y)

simplify119.0ms (3.4%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
049321156
149321156

prune140.0ms (4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82587
Fresh011
Picked101
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6
Compiler

Compiled 1634 to 817 computations (50% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.6b
(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite39.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_435
13×*-un-lft-identity_binary64_414 associate-*l*_binary64_357
10×times-frac_binary64_420 add-cube-cbrt_binary64_446
add-exp-log_binary64_449 add-cbrt-cube_binary64_447
associate-*r*_binary64_356
frac-add_binary64_422
flip3--_binary64_418 pow1_binary64_472 sub-neg_binary64_407 add-log-exp_binary64_450 flip--_binary64_389 frac-times_binary64_424 associate-*r/_binary64_358
distribute-lft-in_binary64_365 associate-*l/_binary64_359 distribute-rgt-in_binary64_366 difference-of-squares_binary64_383 prod-exp_binary64_460 associate-+r+_binary64_348 unswap-sqr_binary64_382 cbrt-unprod_binary64_444
distribute-lft-out--_binary64_368 flip3-+_binary64_417 div-inv_binary64_411 *-commutative_binary64_347 +-commutative_binary64_346 cbrt-undiv_binary64_445 pow-prod-down_binary64_482 flip-+_binary64_388 sum-log_binary64_502 div-exp_binary64_462
Counts
2 → 59
Calls

2 calls:

17.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
13.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

series179.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

109.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
70.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify48.0ms (1.4%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050261075

prune197.0ms (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh055
Picked011
Done000
Total64771

Merged error: 0b

Counts
71 → 7
Compiler

Compiled 1311 to 786 computations (40% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
2.7b
(*.f64 (/.f64 x y) z)

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_435
15×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
13×associate-*l*_binary64_357
10×times-frac_binary64_420
cbrt-prod_binary64_442 add-exp-log_binary64_449 add-cbrt-cube_binary64_447
pow1_binary64_472
add-log-exp_binary64_450
associate-*r*_binary64_356 pow1/3_binary64_493
prod-exp_binary64_460 unswap-sqr_binary64_382 cbrt-unprod_binary64_444
associate-*l/_binary64_359 div-inv_binary64_411 *-commutative_binary64_347 cbrt-undiv_binary64_445 pow-prod-down_binary64_482 div-exp_binary64_462
Counts
4 → 65
Calls

4 calls:

7.0ms
(*.f64 (/.f64 x y) z)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series507.0ms (14.7%)

Counts
4 → 12
Calls

4 calls:

165.0ms
(cbrt.f64 y)
156.0ms
(cbrt.f64 y)
144.0ms
(cbrt.f64 y)
42.0ms
(*.f64 (/.f64 x y) z)

simplify76.0ms (2.2%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05046591

prune82.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0b

Counts
84 → 7
Compiler

Compiled 2010 to 881 computations (56.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.6b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_420 add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
add-exp-log_binary64_449 add-cbrt-cube_binary64_447 associate-/l*_binary64_361 associate-/r*_binary64_360
associate-/l/_binary64_363
flip3--_binary64_418 clear-num_binary64_413 pow1_binary64_472 div-inv_binary64_411 cbrt-undiv_binary64_445 add-log-exp_binary64_450 frac-2neg_binary64_425 flip--_binary64_389 div-sub_binary64_419 div-exp_binary64_462
Counts
1 → 30
Calls

1 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series78.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

78.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

simplify52.0ms (1.5%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05344690

prune27.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New33033
Fresh044
Picked011
Done022
Total33740

Merged error: 0b

Counts
40 → 7
Compiler

Compiled 608 to 323 computations (46.9% saved)

regimes50.0ms (1.4%)

Compiler

Compiled 360 to 303 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02418
12418

end0.0ms (0%)

sample710.0ms (20.6%)

Algorithm
intervals
Results
311.0ms8000×body128valid
48.0ms1183×body128invalid
Compiler

Compiled 143 to 120 computations (16.1% saved)

Profiling

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