Details

Time bar (total: 3.8s)

analyze160.0ms (4.2%)

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%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)

sample35.0ms (0.9%)

Algorithm
intervals
Results
20.0ms256×body128valid
1.0ms17×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify101.0ms (2.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
05423
15423

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
1.0b
Counts
2 → 1
Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite109.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_5556
14×add-cube-cbrt_binary64_5569 *-un-lft-identity_binary64_5534
times-frac_binary64_5540
add-exp-log_binary64_5572 add-cbrt-cube_binary64_5570
pow1_binary64_5595 add-log-exp_binary64_5573 div-sub_binary64_5539
associate-+r-_binary64_5468
associate-*l*_binary64_5475 associate-*r*_binary64_5474 distribute-frac-neg_binary64_5497 acos-neg_binary64_5717 acos-asin_binary64_5715 associate-/l*_binary64_5479 associate-/r*_binary64_5478
cos-diff_binary64_5671
pow-prod-down_binary64_5605 prod-exp_binary64_5583 cbrt-unprod_binary64_5567 unswap-sqr_binary64_5502 *-commutative_binary64_5465 sum-log_binary64_5625 flip3-+_binary64_5537 flip-+_binary64_5508 +-commutative_binary64_5464 cos-sum_binary64_5668 div-exp_binary64_5585 cbrt-undiv_binary64_5568 frac-2neg_binary64_5545 clear-num_binary64_5533 div-inv_binary64_5531
Counts
4 → 70
Calls

4 calls:

8.0ms
(*.f64 PI.f64 2/3)
7.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
Compiler

Compiled 1595 to 940 computations (41.1% saved)

series270.0ms (7.1%)

Error
1.0b
Counts
4 → 18
Calls

4 calls:

137.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
70.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
48.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)
Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify94.0ms (2.4%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
051831544

prune86.0ms (2.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh000
Picked101
Done000
Total88189
Error
0.9b
Counts
89 → 1
Compiler

Compiled 1691 to 999 computations (40.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite48.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-cube-cbrt_binary64_5569 add-sqr-sqrt_binary64_5556 *-un-lft-identity_binary64_5534
times-frac_binary64_5540
add-exp-log_binary64_5572 add-cbrt-cube_binary64_5570
associate-/l*_binary64_5479 associate-/r*_binary64_5478
pow1_binary64_5595 add-log-exp_binary64_5573 acos-asin_binary64_5715 div-sub_binary64_5539
div-exp_binary64_5585 cbrt-undiv_binary64_5568 frac-2neg_binary64_5545 clear-num_binary64_5533 div-inv_binary64_5531 cos-diff_binary64_5671
Counts
2 → 36
Calls

2 calls:

3.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
Compiler

Compiled 727 to 465 computations (36% saved)

series160.0ms (4.2%)

Error
0.9b
Counts
2 → 12
Calls

2 calls:

110.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
42.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify139.0ms (3.6%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
04749701
14749701

prune47.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh000
Picked011
Done000
Total47249
Error
0b
Counts
49 → 2
Compiler

Compiled 832 to 548 computations (34.1% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite241.0ms (6.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
54×add-sqr-sqrt_binary64_5556
51×times-frac_binary64_5540
50×add-exp-log_binary64_5572
36×*-un-lft-identity_binary64_5534
33×add-cube-cbrt_binary64_5569
24×cbrt-prod_binary64_5565
22×associate-*r*_binary64_5474
20×prod-exp_binary64_5583
18×add-cbrt-cube_binary64_5570
16×div-exp_binary64_5585
unswap-sqr_binary64_5502
cbrt-undiv_binary64_5568 cbrt-unprod_binary64_5567
associate-*l*_binary64_5475
associate-/r*_binary64_5478
pow1_binary64_5595
1-exp_binary64_5578 rec-exp_binary64_5584
add-log-exp_binary64_5573 div-inv_binary64_5531 associate-/l*_binary64_5479
frac-2neg_binary64_5545 acos-asin_binary64_5715 div-sub_binary64_5539 clear-num_binary64_5533 pow-prod-down_binary64_5605 frac-times_binary64_5544 associate-*l/_binary64_5477 associate-*r/_binary64_5476 *-commutative_binary64_5465
Counts
3 → 117
Calls

3 calls:

17.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
4.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
2.0ms
(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))
Compiler

Compiled 3675 to 2792 computations (24% saved)

series507.0ms (13.3%)

Error
0b
Counts
3 → 18
Calls

3 calls:

231.0ms
(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))
166.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
91.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
Compiler

Compiled 918 to 850 computations (7.4% saved)

simplify101.0ms (2.6%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
050162590

prune173.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done011
Total1352137
Error
0b
Counts
137 → 2
Compiler

Compiled 3243 to 2382 computations (26.5% saved)

regimes269.0ms (7%)

Accuracy

Total 0.0b remaining (90.6%)

Threshold costs 0.0b (90.6%)

Compiler

Compiled 2737 to 2594 computations (5.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04131
14131

end0.0ms (0%)

sample1.2s (32.5%)

Algorithm
intervals
Results
626.0ms8000×body128valid
38.0ms555×body128nan
Compiler

Compiled 285 to 272 computations (4.6% saved)

Profiling

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