Details

Time bar (total: 3.4s)

analyze130.0ms (3.9%)

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
25%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify238.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0497520
1497520

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.3b
(*.f64 (*.f64 x.re x.im) 3)

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482 pow1_binary64_3505
cbrt-unprod_binary64_3477 pow-prod-down_binary64_3515 prod-exp_binary64_3493
*-un-lft-identity_binary64_3447 add-log-exp_binary64_3483 add-cube-cbrt_binary64_3479 add-sqr-sqrt_binary64_3468
associate-*l*_binary64_3390 associate-*r*_binary64_3389
*-commutative_binary64_3380
flip--_binary64_3422 flip3--_binary64_3451 diff-log_binary64_3536 sub-neg_binary64_3440
Counts
3 → 50
Calls

3 calls:

9.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
7.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
5.0ms
(*.f64 (*.f64 x.re x.im) 3)

series178.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

115.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
32.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
31.0ms
(*.f64 (*.f64 x.re x.im) 3)

simplify66.0ms (2%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04891900
14891900

prune65.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54559
Fresh011
Picked011
Done000
Total54761

Merged error: 0.0b

Counts
61 → 7
Compiler

Compiled 979 to 685 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
0.2b
(*.f64 x.re (*.f64 x.im 3))

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482 pow1_binary64_3505
cbrt-unprod_binary64_3477 pow-prod-down_binary64_3515 prod-exp_binary64_3493
associate-*l*_binary64_3390
*-un-lft-identity_binary64_3447 add-log-exp_binary64_3483 add-cube-cbrt_binary64_3479 add-sqr-sqrt_binary64_3468
associate-*r*_binary64_3389 *-commutative_binary64_3380
flip--_binary64_3422 flip3--_binary64_3451 diff-log_binary64_3536 sub-neg_binary64_3440
Counts
3 → 50
Calls

3 calls:

10.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
7.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
5.0ms
(*.f64 x.re (*.f64 x.im 3))

series185.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

116.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
35.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
34.0ms
(*.f64 x.re (*.f64 x.im 3))

simplify78.0ms (2.3%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04900896
14900896

prune55.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New58159
Fresh145
Picked011
Done011
Total59766

Merged error: 0.0b

Counts
66 → 7
Compiler

Compiled 970 to 697 computations (28.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite70.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
59×add-exp-log_binary64_3482 pow1_binary64_3505
40×cbrt-unprod_binary64_3477 pow-prod-down_binary64_3515 prod-exp_binary64_3493
37×add-cbrt-cube_binary64_3480
associate-*r*_binary64_3389
*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479 add-sqr-sqrt_binary64_3468
add-log-exp_binary64_3483
associate-*l*_binary64_3390
cbrt-prod_binary64_3475 *-commutative_binary64_3380
flip--_binary64_3422 flip3--_binary64_3451 diff-log_binary64_3536 sub-neg_binary64_3440
Counts
4 → 93
Calls

4 calls:

18.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
17.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
15.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
10.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series425.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

177.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
97.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
85.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
66.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify86.0ms (2.6%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049161578
149161578

prune105.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done022
Total1057112

Merged error: 0.0b

Counts
112 → 7
Compiler

Compiled 1832 to 1316 computations (28.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3475
23×add-sqr-sqrt_binary64_3468
15×*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479
11×pow1_binary64_3505
pow1/3_binary64_3526
swap-sqr_binary64_3414 associate-*l*_binary64_3390 add-exp-log_binary64_3482 associate-*r*_binary64_3389
add-log-exp_binary64_3483 add-cbrt-cube_binary64_3480 unswap-sqr_binary64_3415
pow-sqr_binary64_3420 pow-prod-down_binary64_3515 pow-prod-up_binary64_3514
cbrt-unprod_binary64_3477 pow-plus_binary64_3507 pow2_binary64_3525 *-commutative_binary64_3380 prod-exp_binary64_3493
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms
(cbrt.f64 x.re)
1.0ms
(cbrt.f64 x.re)
1.0ms
(cbrt.f64 x.re)

series652.0ms (19.4%)

Counts
4 → 12
Calls

4 calls:

176.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
173.0ms
(cbrt.f64 x.re)
152.0ms
(cbrt.f64 x.re)
151.0ms
(cbrt.f64 x.re)

simplify76.0ms (2.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04937690
14937690

prune82.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done033
Total85792

Merged error: 0.0b

Counts
92 → 7
Compiler

Compiled 1769 to 924 computations (47.8% saved)

regimes48.0ms (1.4%)

Compiler

Compiled 384 to 285 computations (25.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample690.0ms (20.5%)

Algorithm
intervals
Results
346.0ms8000×body128valid
26.0ms558×body128invalid
Compiler

Compiled 162 to 119 computations (26.5% saved)

Profiling

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