Details

Time bar (total: 2.9s)

analyze161.0ms (5.5%)

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%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Compiler

Compiled 17 to 17 computations (0% saved)

sample30.0ms (1%)

Algorithm
intervals
Results
21.0ms256×body128valid
1.0ms18×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify169.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05023
15023

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1
Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 PI.f64 2/3)

rewrite33.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_2487
14×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
times-frac_binary64_2471
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 div-sub_binary64_2470 pow1_binary64_2526
associate-+r-_binary64_2399
acos-neg_binary64_2648 associate-/r*_binary64_2409 associate-*r*_binary64_2405 associate-/l*_binary64_2410 associate-*l*_binary64_2406 acos-asin_binary64_2646 distribute-frac-neg_binary64_2428
cos-diff_binary64_2602
flip3-+_binary64_2468 *-commutative_binary64_2396 +-commutative_binary64_2395 sum-log_binary64_2556 flip-+_binary64_2439 clear-num_binary64_2464 cbrt-undiv_binary64_2499 unswap-sqr_binary64_2433 cos-sum_binary64_2599 div-exp_binary64_2516 div-inv_binary64_2462 prod-exp_binary64_2514 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
Counts
4 → 70
Calls

4 calls:

11.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
8.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
5.0ms
(*.f64 PI.f64 2/3)
4.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series196.0ms (6.8%)

Counts
4 → 10
Calls

4 calls:

131.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
39.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
26.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)

simplify96.0ms (3.3%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
051811420

prune86.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh000
Picked101
Done000
Total79281

Merged error: 0.9b

Counts
81 → 2
Compiler

Compiled 1593 to 943 computations (40.8% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_2465 times-frac_binary64_2471 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
associate-/r*_binary64_2409 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 associate-/l*_binary64_2410
add-log-exp_binary64_2504 clear-num_binary64_2464 cbrt-undiv_binary64_2499 div-sub_binary64_2470 div-exp_binary64_2516 div-inv_binary64_2462 pow1_binary64_2526 frac-2neg_binary64_2476 acos-asin_binary64_2646
Counts
1 → 28
Calls

1 calls:

4.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

series19.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify140.0ms (4.8%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (128.0ms)

IterNodesCost
04673468
14673468

prune34.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh101
Picked101
Done000
Total31233

Merged error: 0b

Counts
33 → 2
Compiler

Compiled 585 to 385 computations (34.2% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
0.0b
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite40.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt_binary64_2487
51×times-frac_binary64_2471
49×add-exp-log_binary64_2503
35×*-un-lft-identity_binary64_2465
32×add-cube-cbrt_binary64_2500
24×cbrt-prod_binary64_2496
22×associate-*r*_binary64_2405
20×prod-exp_binary64_2514
17×add-cbrt-cube_binary64_2501
16×div-exp_binary64_2516
unswap-sqr_binary64_2433
cbrt-undiv_binary64_2499 cbrt-unprod_binary64_2498
associate-*l*_binary64_2406
associate-/r*_binary64_2409
rec-exp_binary64_2515 pow1_binary64_2526 1-exp_binary64_2509
div-inv_binary64_2462 associate-/l*_binary64_2410
add-log-exp_binary64_2504
associate-*l/_binary64_2408 *-commutative_binary64_2396 frac-times_binary64_2475 associate-*r/_binary64_2407 clear-num_binary64_2464 div-sub_binary64_2470 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 acos-asin_binary64_2646
Counts
2 → 110
Calls

2 calls:

22.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
5.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

series123.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

78.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
44.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify102.0ms (3.5%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049982357
149982357

prune159.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done000
Total1162118

Merged error: 0b

Counts
118 → 2
Compiler

Compiled 2942 to 2169 computations (26.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.0b
(*.f64 (acos.f64 (/.f64 g h)) 1/3)

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2487
*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 pow1_binary64_2526 associate-*r*_binary64_2405 associate-*l*_binary64_2406
add-log-exp_binary64_2504 *-commutative_binary64_2396 unswap-sqr_binary64_2433 prod-exp_binary64_2514 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
Counts
1 → 18
Calls

1 calls:

4.0ms
(*.f64 (acos.f64 (/.f64 g h)) 1/3)

series22.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

22.0ms
(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify63.0ms (2.2%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04776239
14776239

prune19.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done011
Total21223

Merged error: 0b

Counts
23 → 2
Compiler

Compiled 339 to 226 computations (33.3% saved)

regimes216.0ms (7.4%)

Compiler

Compiled 1737 to 1745 computations (-0.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04131
14131

end0.0ms (0%)

sample1.1s (38.9%)

Algorithm
intervals
Results
670.0ms8000×body128valid
37.0ms571×body128nan
Compiler

Compiled 187 to 189 computations (-1.1% saved)

Profiling

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