Details

analyze309.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46
0	2	2
1	2	2

Search

True	Other	False	Iter
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)

sample40.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
2.0ms	23×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(/.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)

rewrite125.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`times-frac_binary64_2471`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `div-sub_binary64_2470`
4×	`associate-+r-_binary64_2399`
3×	`associate-l_binary64_2406` `associate-r_binary64_2405` `distribute-frac-neg_binary64_2428` `acos-neg_binary64_2648` `acos-asin_binary64_2646` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`cos-diff_binary64_2602`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `cos-sum_binary64_2599` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series354.0ms (8.1%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

177.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
62.0ms	(/.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)

simplify130.0ms (3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5183	1544

prune109.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1691 to 999 computations (40.9% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite107.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
9×	`times-frac_binary64_2471`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `acos-asin_binary64_2646` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`div-sub_binary64_2470`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `cos-diff_binary64_2602`

Counts

3 → 44

Calls

3 calls:

7.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
5.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 866 to 542 computations (37.4% saved)

series249.0ms (5.7%)

Error

1.0b

Counts

3 → 18

Calls

3 calls:

145.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
55.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
34.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 648 to 580 computations (10.5% saved)

simplify172.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4749	815
1	4749	815

prune65.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1029 to 669 computations (35% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite243.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-prod_binary64_2496`
45×	`times-frac_binary64_2471`
42×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
18×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
15×	`associate-/l*_binary64_2410`
7×	`add-exp-log_binary64_2503`
6×	`add-cbrt-cube_binary64_2501` `unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437`
5×	`pow1_binary64_2526`
4×	`add-log-exp_binary64_2504`
3×	`pow-unpow_binary64_2542` `associate-/r*_binary64_2409`
1×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 126

Calls

4 calls:

12.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
7.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
3.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))
2.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 3194 to 2131 computations (33.3% saved)

series388.0ms (8.9%)

Error

Counts

4 → 24

Calls

4 calls:

168.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)
113.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
60.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
29.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 918 to 826 computations (10% saved)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4944	2286
1	4944	2286

prune190.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 2857 to 1874 computations (34.4% saved)

regimes306.0ms (7%)

Accuracy

Total 0.0b remaining (92.6%)

Threshold costs 0.0b (92.6%)

Compiler

Compiled 2302 to 2169 computations (5.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.4s (32.9%)

Algorithm

1×

intervals

Results

737.0ms	8000×	body	128	valid
37.0ms	507×	body	128	nan

Compiler

Compiled 235 to 224 computations (4.7% saved)

Details

analyze309.0ms (7.1%)

sample40.0ms (0.9%)

simplify9.0ms (0.2%)

prune5.0ms (0.1%)

localize20.0ms (0.5%)

rewrite125.0ms (2.9%)

series354.0ms (8.1%)

simplify130.0ms (3%)

prune109.0ms (2.5%)

localize17.0ms (0.4%)

rewrite107.0ms (2.4%)

series249.0ms (5.7%)

simplify172.0ms (3.9%)

prune65.0ms (1.5%)

localize12.0ms (0.3%)

rewrite243.0ms (5.6%)

series388.0ms (8.9%)

simplify88.0ms (2%)

prune190.0ms (4.3%)

regimes306.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (32.9%)

Profiling