Details

analyze452.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	132
1	4999	132
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 24 to 21 computations (12.5% saved)

sample84.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	168×	body	128	valid
18.0ms	31×	body	2048	valid
16.0ms	21×	body	4096	valid
8.0ms	18×	body	1024	valid
4.0ms	13×	body	512	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4970	33
1	4970	33

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.6b

Counts

2 → 2

Compiler

Compiled 65 to 54 computations (16.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
0.0b	(pow.f64 (-.f64 A C) 2)
1.8b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
28.4b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite292.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

31.3b

Rules

25×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
18×	`add-cube-cbrt_binary64_2841`
9×	`add-log-exp_binary64_2845` `cancel-sign-sub-inv_binary64_2772` `times-frac_binary64_2812`
7×	`add-exp-log_binary64_2844` `sqrt-prod_binary64_2822`
6×	`pow1_binary64_2867` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
5×	`unpow-prod-down_binary64_2885`
4×	`frac-sub_binary64_2815` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `diff-log_binary64_2898` `flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `pow-unpow_binary64_2883` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
2×	`sub-neg_binary64_2799`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate--l-_binary64_2744` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 93

Calls

4 calls:

19.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
6.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
5.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 3294 to 1614 computations (51% saved)

series1.4s (15.7%)

Error

8.8b

Counts

4 → 76

Calls

4 calls:

433.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
431.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
274.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
99.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 5809 to 4413 computations (24% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5060	4741

prune310.0ms (3.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	163	8	171

Error

8.8b

Counts

171 → 8

Compiler

Compiled 5005 to 2388 computations (52.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))
0.0b	(/.f64 (+.f64 B (-.f64 C A)) B)
0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
0.0b	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

rewrite148.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

50×	`*-un-lft-identity_binary64_2806`
35×	`add-sqr-sqrt_binary64_2828`
34×	`times-frac_binary64_2812`
30×	`add-cube-cbrt_binary64_2841`
13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
8×	`associate-/l*_binary64_2751` `distribute-lft-out_binary64_2757`
6×	`pow1_binary64_2867` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `distribute-lft-out--_binary64_2758`
3×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `associate-l_binary64_2747`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `associate-/l/_binary64_2753`
1×	`pow-prod-down_binary64_2877` `associate-r/_binary64_2748` `-commutative_binary64_2737` `associate-+r-_binary64_2740` `div-sub_binary64_2811` `flip3-+_binary64_2809` `flip-+_binary64_2780`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
7.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
7.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))
5.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

Compiler

Compiled 2280 to 617 computations (72.9% saved)

series659.0ms (7.4%)

Error

8.8b

Counts

4 → 45

Calls

4 calls:

210.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
200.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
160.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)
55.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))

Compiler

Compiled 1506 to 1089 computations (27.7% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5203	2724

prune141.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	146	11	157

Error

8.8b

Counts

157 → 11

Compiler

Compiled 2730 to 809 computations (70.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
1.0b	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))

rewrite137.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 3276 to 457 computations (86.1% saved)

series1.0ms (0%)

Error

8.8b

Counts

4 → 0

Calls

4 calls:

0.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 0 to 0 computations (0% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5078	604

prune139.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	74	10	84

Error

8.8b

Counts

84 → 10

Compiler

Compiled 3272 to 571 computations (82.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
1.0b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))
1.0b	(cbrt.f64 PI.f64)

rewrite228.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

117×	`pow1_binary64_2867`
49×	`pow-prod-up_binary64_2876`
45×	`pow1/3_binary64_2888`
33×	`pow-sqr_binary64_2779`
32×	`pow-prod-down_binary64_2877`
18×	`pow-plus_binary64_2869`
16×	`add-exp-log_binary64_2844`
13×	`pow2_binary64_2887`
9×	`add-sqr-sqrt_binary64_2828`
8×	`add-cbrt-cube_binary64_2842` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
7×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`sqrt-prod_binary64_2822`
4×	`add-log-exp_binary64_2845`
3×	`cbrt-prod_binary64_2837`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 111

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 5624 to 898 computations (84% saved)

series1.0ms (0%)

Error

8.8b

Counts

4 → 0

Calls

4 calls:

0.0ms	(cbrt.f64 PI.f64)
0.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 0 to 0 computations (0% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4836	473
1	4836	473

prune176.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	111	10	121

Error

8.8b

Counts

121 → 10

Compiler

Compiled 5019 to 739 computations (85.3% saved)

regimes1.6s (18.2%)

Accuracy

Total 11.6b remaining (62.8%)

Threshold costs 0b (0%)

Compiler

Compiled 16845 to 12309 computations (26.9% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	124
1	82	124

end4.0ms (0%)

Compiler: Compiled 80 to 53 computations (33.8% saved)

sample2.7s (29.8%)

Algorithm

1×

intervals

Results

707.0ms	882×	body	4096	valid
558.0ms	5384×	body	128	valid
517.0ms	878×	body	2048	valid
214.0ms	481×	body	1024	valid
87.0ms	260×	body	512	valid
24.0ms	115×	body	256	valid

Compiler

Compiled 254 to 194 computations (23.6% saved)

Details

analyze452.0ms (5.1%)

sample84.0ms (0.9%)

simplify73.0ms (0.8%)

prune9.0ms (0.1%)

localize15.0ms (0.2%)

rewrite292.0ms (3.3%)

series1.4s (15.7%)

simplify91.0ms (1%)

prune310.0ms (3.5%)

localize9.0ms (0.1%)

rewrite148.0ms (1.7%)

series659.0ms (7.4%)

simplify59.0ms (0.7%)

prune141.0ms (1.6%)

localize23.0ms (0.3%)

rewrite137.0ms (1.5%)

series1.0ms (0%)

simplify70.0ms (0.8%)

prune139.0ms (1.6%)

localize26.0ms (0.3%)

rewrite228.0ms (2.6%)

series1.0ms (0%)

simplify74.0ms (0.8%)

prune176.0ms (2%)

regimes1.6s (18.2%)

bsearch5.0ms (0.1%)

simplify3.0ms (0%)

end4.0ms (0%)

sample2.7s (29.8%)

Profiling