Details

analyze159.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	37.5%	12.5%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample25.0ms (1.2%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

prune4.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2845`
2×	`*-un-lft-identity_binary64_2806`
1×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `distribute-rgt1-in_binary64_2762` `flip-+_binary64_2780` `distribute-rgt-out_binary64_2759` `sum-log_binary64_2897` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `pow1_binary64_2867` `+-commutative_binary64_2736`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+.f64 x (*.f64 x x))

series57.0ms (2.7%)

Counts

1 → 6

Calls

1 calls:

56.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify140.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5054	165

prune27.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Error

Counts

20 → 3

Compiler

Compiled 163 to 61 computations (62.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) x)

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`associate-l_binary64_2747`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `associate-r_binary64_2746` `pow1_binary64_2867`
2×	`associate-*l/_binary64_2749`
1×	`distribute-lft-out_binary64_2757` `*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

1 → 21

Calls

1 calls:

12.0ms

(*.f64 (+.f64 x 1) x)

series60.0ms (2.9%)

Counts

1 → 6

Calls

1 calls:

60.0ms

(*.f64 (+.f64 x 1) x)

Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify148.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4973	226
1	4973	226

prune31.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

Counts

30 → 3

Compiler

Compiled 235 to 156 computations (33.6% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) x)
5.8b	(/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 x 1))

rewrite64.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`add-sqr-sqrt_binary64_2828`
78×	`*-un-lft-identity_binary64_2806`
63×	`times-frac_binary64_2812`
56×	`difference-of-squares_binary64_2775`
21×	`add-cube-cbrt_binary64_2841`
19×	`distribute-lft-out--_binary64_2758`
10×	`difference-of-sqr-1_binary64_2776`
9×	`distribute-rgt-out--_binary64_2760` `cube-prod_binary64_2834` `unpow3_binary64_2872` `unpow-prod-down_binary64_2885` `sqr-pow_binary64_2778` `associate-/l*_binary64_2751`
7×	`associate-/r*_binary64_2750`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
3×	`cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `flip--_binary64_2781`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `pow1_binary64_2867`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `div-sub_binary64_2811` `diff-log_binary64_2898` `sub-neg_binary64_2799` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

2 → 116

Calls

2 calls:

25.0ms	(/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 x 1))
14.0ms	(-.f64 (pow.f64 x 3) x)

series195.0ms (9.4%)

Counts

2 → 12

Calls

2 calls:

108.0ms	(/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 x 1))
87.0ms	(-.f64 (pow.f64 x 3) x)

Compiler

Compiled 112 to 91 computations (18.8% saved)

simplify173.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4939	2564
1	4939	2564

prune208.0ms (10%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Error

Counts

131 → 3

Compiler

Compiled 2077 to 1357 computations (34.7% saved)

regimes86.0ms (4.2%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 235 to 141 computations (40% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample642.0ms (30.8%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 101 to 65 computations (35.6% saved)

Details

analyze159.0ms (7.6%)

sample25.0ms (1.2%)

simplify15.0ms (0.7%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite7.0ms (0.3%)

series57.0ms (2.7%)

simplify140.0ms (6.7%)

prune27.0ms (1.3%)

localize6.0ms (0.3%)

rewrite14.0ms (0.7%)

series60.0ms (2.9%)

simplify148.0ms (7.1%)

prune31.0ms (1.5%)

localize12.0ms (0.6%)

rewrite64.0ms (3.1%)

series195.0ms (9.4%)

simplify173.0ms (8.3%)

prune208.0ms (10%)

regimes86.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample642.0ms (30.8%)

Profiling