Details

Time bar (total: 3.9s)

analyze363.0ms (9.3%)

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)

sample20.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms45×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify206.0ms (5.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
071815
171815

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 54 to 47 computations (13% saved)

localize9.0ms (0.2%)

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)
3.6b
(*.f64 (/.f64 x y) z)

rewrite30.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_423
25×add-sqr-sqrt_binary64_445
22×times-frac_binary64_429
20×add-cube-cbrt_binary64_458
13×associate-*l*_binary64_364
10×add-exp-log_binary64_461 add-cbrt-cube_binary64_459
pow1_binary64_484 add-log-exp_binary64_462
distribute-lft-out_binary64_374 associate-/l*_binary64_368
associate-*l/_binary64_366 associate-*r*_binary64_363 associate-/r*_binary64_367
prod-exp_binary64_472 associate-/l/_binary64_370 div-inv_binary64_420 unswap-sqr_binary64_391 cbrt-undiv_binary64_457 div-exp_binary64_474 cbrt-unprod_binary64_456
pow-prod-down_binary64_494 sub-neg_binary64_416 flip-+_binary64_397 diff-log_binary64_515 cancel-sign-sub-inv_binary64_389 flip3--_binary64_427 *-commutative_binary64_354 clear-num_binary64_422 flip3-+_binary64_426 frac-2neg_binary64_434 flip--_binary64_398 sub-div_binary64_430 frac-sub_binary64_432
Counts
3 → 79
Calls

3 calls:

11.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms
(*.f64 (/.f64 x y) z)
6.0ms
(/.f64 (+.f64 x 4) y)

series162.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

80.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
41.0ms
(*.f64 (/.f64 x y) z)
40.0ms
(/.f64 (+.f64 x 4) y)

simplify64.0ms (1.6%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049821165
149821165

prune264.0ms (6.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81788
Fresh011
Picked011
Done000
Total81990

Merged error: 0.0b

Counts
90 → 9
Compiler

Compiled 4728 to 3020 computations (36.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
0.0b
(+.f64 (/.f64 x y) (/.f64 4 y))
3.6b
(*.f64 (/.f64 x y) z)

rewrite47.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64_423
18×add-sqr-sqrt_binary64_445
16×times-frac_binary64_429
13×associate-*l*_binary64_364 add-cube-cbrt_binary64_458
10×add-log-exp_binary64_462
add-exp-log_binary64_461 add-cbrt-cube_binary64_459
pow1_binary64_484
distribute-lft-out_binary64_374 associate-*l/_binary64_366
associate-*r*_binary64_363 div-inv_binary64_420 frac-sub_binary64_432
frac-add_binary64_431 flip-+_binary64_397 diff-log_binary64_515 prod-exp_binary64_472 flip3-+_binary64_426 unswap-sqr_binary64_391 sum-log_binary64_514 cbrt-unprod_binary64_456
associate--l+_binary64_360 pow-prod-down_binary64_494 sub-neg_binary64_416 cancel-sign-sub-inv_binary64_389 +-commutative_binary64_353 flip3--_binary64_427 *-commutative_binary64_354 flip--_binary64_398 distribute-rgt-out_binary64_376 cbrt-undiv_binary64_457 div-exp_binary64_474
Counts
3 → 66
Calls

3 calls:

18.0ms
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
16.0ms
(+.f64 (/.f64 x y) (/.f64 4 y))
7.0ms
(*.f64 (/.f64 x y) z)

series153.0ms (3.9%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
44.0ms
(*.f64 (/.f64 x y) z)
37.0ms
(+.f64 (/.f64 x y) (/.f64 4 y))

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
052041137

prune80.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done011
Total75984

Merged error: 0.0b

Counts
84 → 9
Compiler

Compiled 1775 to 873 computations (50.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(*.f64 z (/.f64 (cbrt.f64 x) y))
2.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite177.0ms (4.5%)

Algorithm
rewrite-expression-head
Rules
66×add-exp-log_binary64_461
35×add-cbrt-cube_binary64_459
33×prod-exp_binary64_472
30×add-sqr-sqrt_binary64_445
23×times-frac_binary64_429 associate-*r*_binary64_363
22×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
20×cbrt-unprod_binary64_456
18×div-exp_binary64_474
16×cbrt-prod_binary64_454
11×pow1_binary64_484
10×associate-*l*_binary64_364 cbrt-undiv_binary64_457
1-exp_binary64_467
pow-prod-down_binary64_494 associate-*r/_binary64_365 add-log-exp_binary64_462
unswap-sqr_binary64_391
pow1/3_binary64_505 *-commutative_binary64_354 div-inv_binary64_420
frac-times_binary64_433 associate-*l/_binary64_366
Counts
4 → 109
Calls

4 calls:

147.0ms
(*.f64 z (/.f64 (cbrt.f64 x) y))
14.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series490.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(cbrt.f64 x)
134.0ms
(*.f64 z (/.f64 (cbrt.f64 x) y))
132.0ms
(cbrt.f64 x)
72.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

simplify75.0ms (1.9%)

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050821182

prune115.0ms (3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh066
Picked011
Done022
Total1219130

Merged error: 0.0b

Counts
130 → 9
Compiler

Compiled 2778 to 1240 computations (55.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.4b
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
2.4b
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite38.0ms (1%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64_461
21×add-cbrt-cube_binary64_459
18×add-sqr-sqrt_binary64_445 pow1_binary64_484
17×prod-exp_binary64_472 cbrt-unprod_binary64_456
15×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
14×associate-*l*_binary64_364
10×times-frac_binary64_429
pow-prod-down_binary64_494 cbrt-prod_binary64_454
associate-*r*_binary64_363
add-log-exp_binary64_462 cbrt-undiv_binary64_457 div-exp_binary64_474
associate-*l/_binary64_366
pow1/3_binary64_505 *-commutative_binary64_354 unswap-sqr_binary64_391
div-inv_binary64_420
Counts
4 → 86
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
11.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series537.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

166.0ms
(cbrt.f64 z)
144.0ms
(cbrt.f64 z)
143.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
84.0ms
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

simplify64.0ms (1.6%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04962964
14962964

prune85.0ms (2.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh055
Picked011
Done033
Total989107

Merged error: 0.0b

Counts
107 → 9
Compiler

Compiled 1986 to 911 computations (54.1% saved)

regimes97.0ms (2.5%)

Compiler

Compiled 797 to 586 computations (26.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04618
14618

end0.0ms (0%)

sample723.0ms (18.5%)

Algorithm
intervals
Results
305.0ms8000×body128valid
46.0ms1243×body128invalid
Compiler

Compiled 174 to 130 computations (25.3% saved)

Profiling

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