Details

analyze314.0ms (7.7%)

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)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	14×	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

prune8.0ms (0.2%)

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 (0.3%)

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)

rewrite124.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2828`
14×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `div-sub_binary64_2811`
4×	`associate-+r-_binary64_2740`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746` `distribute-frac-neg_binary64_2769` `acos-neg_binary64_2989` `acos-asin_binary64_2987` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
2×	`cos-diff_binary64_2943`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `cos-sum_binary64_2940` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 70

Calls

4 calls:

8.0ms	(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)

series427.0ms (10.5%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

237.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
107.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
66.0ms	(/.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)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5183	1544

prune105.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.9b

Counts

89 → 1

Compiler

Compiled 1691 to 999 computations (40.9% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
1×	`pow1_binary64_2867` `div-exp_binary64_2857` `add-log-exp_binary64_2845` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `acos-asin_binary64_2987` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

1 → 28

Calls

1 calls:

3.0ms

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

Compiler

Compiled 555 to 351 computations (36.8% saved)

series71.0ms (1.7%)

Error

0.9b

Counts

1 → 6

Calls

1 calls:

65.0ms

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

Compiler

Compiled 216 to 196 computations (9.3% saved)

simplify136.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4673	495
1	4673	495

prune41.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Compiler

Compiled 609 to 397 computations (34.8% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

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)))

rewrite267.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`add-sqr-sqrt_binary64_2828`
51×	`times-frac_binary64_2812`
49×	`add-exp-log_binary64_2844`
35×	`*-un-lft-identity_binary64_2806`
32×	`add-cube-cbrt_binary64_2841`
24×	`cbrt-prod_binary64_2837`
22×	`associate-r_binary64_2746`
20×	`prod-exp_binary64_2855`
17×	`add-cbrt-cube_binary64_2842`
16×	`div-exp_binary64_2857`
9×	`unswap-sqr_binary64_2774`
8×	`cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840`
7×	`associate-l_binary64_2747`
6×	`associate-/r*_binary64_2750`
4×	`pow1_binary64_2867` `1-exp_binary64_2850` `rec-exp_binary64_2856`
3×	`div-inv_binary64_2803` `associate-/l*_binary64_2751`
2×	`add-log-exp_binary64_2845`
1×	`pow-prod-down_binary64_2877` `frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `*-commutative_binary64_2737` `frac-2neg_binary64_2817` `acos-asin_binary64_2987` `div-sub_binary64_2811` `clear-num_binary64_2805`

Counts

2 → 110

Calls

2 calls:

24.0ms	(.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))

Compiler

Compiled 3429 to 2594 computations (24.4% saved)

series397.0ms (9.8%)

Error

Counts

2 → 12

Calls

2 calls:

242.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
139.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

Compiler

Compiled 648 to 604 computations (6.8% saved)

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4998	2417
1	4998	2417

prune188.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 3029 to 2231 computations (26.3% saved)

regimes370.0ms (9.1%)

Accuracy

Total 0.0b remaining (94.6%)

Threshold costs 0.0b (94.6%)

Compiler

Compiled 3456 to 3288 computations (4.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample1.3s (32.2%)

Algorithm

1×

intervals

Results

626.0ms	8000×	body	128	valid
36.0ms	585×	body	128	nan

Compiler

Compiled 334 to 320 computations (4.2% saved)

Details

analyze314.0ms (7.7%)

sample32.0ms (0.8%)

simplify8.0ms (0.2%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite124.0ms (3%)

series427.0ms (10.5%)

simplify93.0ms (2.3%)

prune105.0ms (2.6%)

localize10.0ms (0.2%)

rewrite40.0ms (1%)

series71.0ms (1.7%)

simplify136.0ms (3.3%)

prune41.0ms (1%)

localize15.0ms (0.4%)

rewrite267.0ms (6.6%)

series397.0ms (9.8%)

simplify100.0ms (2.4%)

prune188.0ms (4.6%)

regimes370.0ms (9.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (32.2%)

Profiling