Details

analyze317.0ms (5.9%)

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)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (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)

localize11.0ms (0.2%)

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)

rewrite125.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_3851`
14×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
9×	`times-frac_binary64_3835`
8×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
6×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `div-sub_binary64_3834`
4×	`associate-+r-_binary64_3763`
3×	`associate-l_binary64_3770` `associate-r_binary64_3769` `distribute-frac-neg_binary64_3792` `acos-neg_binary64_4012` `acos-asin_binary64_4010` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`cos-diff_binary64_3966`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760` `sum-log_binary64_3920` `flip3-+_binary64_3832` `flip-+_binary64_3803` `+-commutative_binary64_3759` `cos-sum_binary64_3963` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826`

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)

series429.0ms (7.9%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

224.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
115.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
73.0ms	(/.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)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5183	1544

prune109.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1702 to 1010 computations (40.7% saved)

localize10.0ms (0.2%)

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)

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
9×	`times-frac_binary64_3835`
4×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
3×	`associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `acos-asin_binary64_4010` `div-sub_binary64_3834`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `cos-diff_binary64_3966`

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)

series235.0ms (4.3%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

167.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
58.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune59.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 843 to 559 computations (33.7% saved)

localize15.0ms (0.3%)

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 (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)))

rewrite261.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_3851`
51×	`times-frac_binary64_3835`
50×	`add-exp-log_binary64_3867`
36×	`*-un-lft-identity_binary64_3829`
33×	`add-cube-cbrt_binary64_3864`
24×	`cbrt-prod_binary64_3860`
22×	`associate-r_binary64_3769`
20×	`prod-exp_binary64_3878`
18×	`add-cbrt-cube_binary64_3865`
16×	`div-exp_binary64_3880`
9×	`unswap-sqr_binary64_3797`
8×	`cbrt-unprod_binary64_3862` `cbrt-undiv_binary64_3863`
7×	`associate-l_binary64_3770`
6×	`associate-/r*_binary64_3773`
5×	`pow1_binary64_3890`
4×	`1-exp_binary64_3873` `rec-exp_binary64_3879`
3×	`add-log-exp_binary64_3868` `div-inv_binary64_3826` `associate-/l*_binary64_3774`
1×	`pow-prod-down_binary64_3900` `frac-times_binary64_3839` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `*-commutative_binary64_3760` `frac-2neg_binary64_3840` `acos-asin_binary64_4010` `div-sub_binary64_3834` `clear-num_binary64_3828`

Counts

3 → 117

Calls

3 calls:

18.0ms

(*.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))

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)

series750.0ms (13.9%)

Error

Counts

3 → 18

Calls

3 calls:

352.0ms

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

237.0ms

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

140.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

Compiler

Compiled 918 to 850 computations (7.4% saved)

simplify102.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5016	2590

prune202.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 3254 to 2392 computations (26.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite133.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_3851`
28×	`times-frac_binary64_3835`
27×	`*-un-lft-identity_binary64_3829`
26×	`cancel-sign-sub-inv_binary64_3795`
25×	`add-cube-cbrt_binary64_3864`
15×	`cos-sum_binary64_3963`
5×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
3×	`div-inv_binary64_3826` `acos-asin_binary64_4010` `div-sub_binary64_3834` `pow1_binary64_3890` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`sub-neg_binary64_3822` `associate--r-_binary64_3768` `difference-of-squares_binary64_3798`
1×	`cos-diff_binary64_3966` `diff-log_binary64_3921` `flip3--_binary64_3833` `flip--_binary64_3804` `distribute-lft-out--_binary64_3781` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828`

Counts

3 → 79

Calls

3 calls:

9.0ms	(cos.f64 (-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
8.0ms	(-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 1950 to 1060 computations (45.6% saved)

series339.0ms (6.3%)

Error

Counts

3 → 18

Calls

3 calls:

186.0ms	(cos.f64 (-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))
76.0ms	(-.f64 PI.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
65.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 594 to 509 computations (14.3% saved)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5006	1457

prune88.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 1422 to 827 computations (41.8% saved)

regimes408.0ms (7.6%)

Accuracy

Total 0.0b remaining (96.6%)

Threshold costs 0.0b (96.6%)

Compiler

Compiled 3883 to 3685 computations (5.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample1.4s (26%)

Algorithm

1×

intervals

Results

649.0ms	8000×	body	128	valid
36.0ms	562×	body	128	nan

Compiler

Compiled 389 to 369 computations (5.1% saved)

Details

analyze317.0ms (5.9%)

sample37.0ms (0.7%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite125.0ms (2.3%)

series429.0ms (7.9%)

simplify89.0ms (1.7%)

prune109.0ms (2%)

localize10.0ms (0.2%)

rewrite53.0ms (1%)

series235.0ms (4.3%)

simplify133.0ms (2.5%)

prune59.0ms (1.1%)

localize15.0ms (0.3%)

rewrite261.0ms (4.8%)

series750.0ms (13.9%)

simplify102.0ms (1.9%)

prune202.0ms (3.7%)

localize10.0ms (0.2%)

rewrite133.0ms (2.5%)

series339.0ms (6.3%)

simplify63.0ms (1.2%)

prune88.0ms (1.6%)

regimes408.0ms (7.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (26%)

Profiling