Details

analyze595.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample58.0ms (0.5%)

Algorithm

1×

intervals

Results

39.0ms	243×	body	256	valid
3.0ms	44×	body	128	nan
1.0ms	13×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify240.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (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

37.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite172.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

Rules

10×	`cbrt-div_binary64_3179`
8×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `sqrt-div_binary64_3164` `flip--_binary64_3122` `frac-times_binary64_3157` `associate-*r/_binary64_3089`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `difference-of-squares_binary64_3116` `rem-sqrt-square_binary64_3160` `pow1/3_binary64_3229` `associate-*l/_binary64_3090` `cbrt-prod_binary64_3178` `flip3-+_binary64_3150` `flip-+_binary64_3121`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series962.0ms (8.7%)

Error

31.2b

Counts

4 → 32

Calls

4 calls:

398.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
386.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
68.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
50.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3710 to 2748 computations (25.9% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5009	1884

prune194.0ms (1.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	75	17	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	18	94

Error

30.4b

Counts

94 → 18

Compiler

Compiled 4418 to 1917 computations (56.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite127.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
5×	`cbrt-div_binary64_3179`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164`
3×	`flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `flip3-+_binary64_3150` `frac-times_binary64_3157` `flip-+_binary64_3121` `associate-*r/_binary64_3089`
1×	`pow1/3_binary64_3229` `associate-*l/_binary64_3090` `cbrt-prod_binary64_3178` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2761 to 921 computations (66.6% saved)

series841.0ms (7.6%)

Error

30.0b

Counts

4 → 32

Calls

4 calls:

407.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
274.0ms	(-.f64 (.f64 g g) (.f64 h h))
65.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
46.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3354 to 2375 computations (29.2% saved)

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4915	1475
1	4915	1475

prune178.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	89	20	109

Error

30.0b

Counts

109 → 20

Compiler

Compiled 4332 to 1801 computations (58.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

8×	`add-log-exp_binary64_3186` `add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `sqrt-div_binary64_3164` `flip--_binary64_3122` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 58

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series327.0ms (3%)

Error

30.0b

Counts

4 → 35

Calls

4 calls:

98.0ms	(-.f64 (.f64 g g) (.f64 h h))
73.0ms	(-.f64 (.f64 g g) (.f64 h h))
60.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
48.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3090 to 2118 computations (31.5% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4933	1110
1	4933	1110

prune159.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	94	19	113

Error

29.9b

Counts

113 → 19

Compiler

Compiled 4160 to 1632 computations (60.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

8×	`add-log-exp_binary64_3186` `add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `sqrt-div_binary64_3164` `flip--_binary64_3122` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series341.0ms (3.1%)

Error

29.9b

Counts

4 → 35

Calls

4 calls:

108.0ms	(-.f64 (.f64 g g) (.f64 h h))
74.0ms	(-.f64 (.f64 g g) (.f64 h h))
63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
48.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3090 to 2118 computations (31.5% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4933	1110
1	4933	1110

prune122.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	93	19	112

Error

29.9b

Counts

112 → 19

Compiler

Compiled 3392 to 1168 computations (65.6% saved)

regimes1.8s (16.7%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 32750 to 19784 computations (39.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	54
1	67	54

end0.0ms (0%)

sample4.3s (39.1%)

Algorithm

1×

intervals

Results

1.3s	7574×	body	256	valid
97.0ms	1164×	body	128	nan
35.0ms	426×	body	128	valid

Compiler

Compiled 4275 to 2605 computations (39.1% saved)

Details

analyze595.0ms (5.4%)

sample58.0ms (0.5%)

simplify240.0ms (2.2%)

prune6.0ms (0.1%)

localize18.0ms (0.2%)

rewrite172.0ms (1.6%)

series962.0ms (8.7%)

simplify85.0ms (0.8%)

prune194.0ms (1.8%)

localize22.0ms (0.2%)

rewrite127.0ms (1.2%)

series841.0ms (7.6%)

simplify62.0ms (0.6%)

prune178.0ms (1.6%)

localize20.0ms (0.2%)

rewrite106.0ms (1%)

series327.0ms (3%)

simplify47.0ms (0.4%)

prune159.0ms (1.4%)

localize21.0ms (0.2%)

rewrite106.0ms (1%)

series341.0ms (3.1%)

simplify47.0ms (0.4%)

prune122.0ms (1.1%)

regimes1.8s (16.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (39.1%)

Profiling