Details

analyze525.0ms (11.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify201.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	514	22
1	514	22

prune2.0ms (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

Merged error: 27.4b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b	(-.f64 (.f64 b c) (.f64 a d))
26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
9×	`times-frac_binary64_2837`
4×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869`
3×	`associate-/l_binary64_2776` `associate-/r_binary64_2775`
2×	`pow1_binary64_2892` `associate-/l/_binary64_2778` `flip3--_binary64_2835` `flip--_binary64_2806` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `flip3-+_binary64_2834` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `diff-log_binary64_2923` `sub-neg_binary64_2824` `cancel-sign-sub-inv_binary64_2797` `div-exp_binary64_2882` `flip-+_binary64_2805` `clear-num_binary64_2830` `div-sub_binary64_2836`

Counts

2 → 44

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series287.0ms (6.2%)

Counts

2 → 6

Calls

2 calls:

199.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
88.0ms	(-.f64 (.f64 b c) (.f64 a d))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6091	1269

prune234.0ms (5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Merged error: 26.6b

Counts

51 → 9

Compiler

Compiled 5695 to 2237 computations (60.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b c) (.f64 a d))
18.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2853`
21×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
18×	`times-frac_binary64_2837` `sqrt-prod_binary64_2847`
6×	`pow1_binary64_2892` `sqrt-div_binary64_2848` `add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869` `associate-/r*_binary64_2775`
3×	`flip3-+_binary64_2834` `flip-+_binary64_2805` `associate-/l*_binary64_2776`
2×	`rem-sqrt-square_binary64_2844` `associate-/l/_binary64_2778` `pow1/2_binary64_2911` `flip3--_binary64_2835` `sqrt-pow1_binary64_2849` `flip--_binary64_2806` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `diff-log_binary64_2923` `sub-neg_binary64_2824` `cancel-sign-sub-inv_binary64_2797` `div-exp_binary64_2882` `clear-num_binary64_2830` `div-sub_binary64_2836`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
7.0ms	(-.f64 (.f64 b c) (.f64 a d))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series435.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
82.0ms	(-.f64 (.f64 b c) (.f64 a d))
51.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5026	2374

prune203.0ms (4.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Merged error: 23.6b

Counts

107 → 11

Compiler

Compiled 5659 to 1630 computations (71.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b c) (.f64 a d))
18.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2853`
21×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
18×	`times-frac_binary64_2837` `sqrt-prod_binary64_2847`
6×	`pow1_binary64_2892` `sqrt-div_binary64_2848` `add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869` `associate-/r*_binary64_2775`
3×	`flip3-+_binary64_2834` `flip-+_binary64_2805` `associate-/l*_binary64_2776`
2×	`rem-sqrt-square_binary64_2844` `associate-/l/_binary64_2778` `pow1/2_binary64_2911` `flip3--_binary64_2835` `sqrt-pow1_binary64_2849` `flip--_binary64_2806` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `diff-log_binary64_2923` `sub-neg_binary64_2824` `cancel-sign-sub-inv_binary64_2797` `div-exp_binary64_2882` `clear-num_binary64_2830` `div-sub_binary64_2836`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series427.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
80.0ms	(-.f64 (.f64 b c) (.f64 a d))
49.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
46.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5026	2374

prune149.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	97	12	109

Merged error: 23.6b

Counts

109 → 12

Compiler

Compiled 4440 to 1143 computations (74.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

9.2b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`sqrt-prod_binary64_2847`
32×	`add-sqr-sqrt_binary64_2853`
29×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
27×	`times-frac_binary64_2837`
10×	`sqrt-div_binary64_2848`
9×	`associate-/r*_binary64_2775`
7×	`pow1_binary64_2892`
6×	`add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869`
4×	`flip3-+_binary64_2834` `add-log-exp_binary64_2870` `flip-+_binary64_2805`
3×	`rem-sqrt-square_binary64_2844` `pow1/2_binary64_2911` `sqrt-pow1_binary64_2849` `associate-/l*_binary64_2776`
2×	`associate-/l/_binary64_2778` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `flip3--_binary64_2835` `div-exp_binary64_2882` `flip--_binary64_2806` `clear-num_binary64_2830` `div-sub_binary64_2836`

Counts

4 → 101

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series524.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
44.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
42.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5899	3105

prune163.0ms (3.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	112	13	125

Merged error: 23.6b

Counts

125 → 13

Compiler

Compiled 5959 to 1144 computations (80.8% saved)

regimes149.0ms (3.2%)

Compiler: Compiled 1649 to 935 computations (43.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	83
1	52	83

end0.0ms (0%)

sample853.0ms (18.3%)

Algorithm

1×

intervals

Results

342.0ms	8000×	body	128	valid
22.0ms	474×	body	128	invalid

Compiler

Compiled 414 to 225 computations (45.7% saved)

Details

analyze525.0ms (11.3%)

sample21.0ms (0.5%)

simplify201.0ms (4.3%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite20.0ms (0.4%)

series287.0ms (6.2%)

simplify66.0ms (1.4%)

prune234.0ms (5%)

localize12.0ms (0.3%)

rewrite36.0ms (0.8%)

series435.0ms (9.4%)

simplify72.0ms (1.6%)

prune203.0ms (4.4%)

localize14.0ms (0.3%)

rewrite34.0ms (0.7%)

series427.0ms (9.2%)

simplify70.0ms (1.5%)

prune149.0ms (3.2%)

localize17.0ms (0.4%)

rewrite40.0ms (0.9%)

series524.0ms (11.3%)

simplify76.0ms (1.6%)

prune163.0ms (3.5%)

regimes149.0ms (3.2%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (18.3%)

Profiling