Details

analyze638.0ms (3.8%)

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)

sample62.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	244×	body	256	valid
4.0ms	47×	body	128	nan
1.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune7.0ms (0%)

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

34.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(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))))))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite208.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

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:

16.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
13.0ms	(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)

series1.7s (9.8%)

Error

31.2b

Counts

4 → 45

Calls

4 calls:

740.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
573.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
121.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
118.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5058 to 3706 computations (26.7% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5423	2565

prune287.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	89	16	105
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	17	107

Error

30.9b

Counts

107 → 17

Compiler

Compiled 5235 to 2320 computations (55.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite157.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

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:

13.0ms	(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)

series1.3s (7.5%)

Error

30.2b

Counts

4 → 49

Calls

4 calls:

748.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
168.0ms	(-.f64 (.f64 g g) (.f64 h h))
134.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
122.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4981 to 3501 computations (29.7% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5075	2183

prune269.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	105	20	125

Error

30.1b

Counts

125 → 20

Compiler

Compiled 5335 to 2268 computations (57.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite150.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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:

13.0ms	(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)

series1.3s (7.5%)

Error

30.1b

Counts

4 → 49

Calls

4 calls:

758.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
154.0ms	(-.f64 (.f64 g g) (.f64 h h))
136.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
119.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4981 to 3501 computations (29.7% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5075	2183

prune258.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	108	20	128

Error

30.1b

Counts

128 → 20

Compiler

Compiled 5348 to 2268 computations (57.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(-.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))))))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite159.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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×	`flip3--_binary64_3151` `flip--_binary64_3122` `cbrt-div_binary64_3179`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164`
3×	`difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `frac-times_binary64_3157` `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:

13.0ms	(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 2702 to 910 computations (66.3% saved)

series1.0s (6.2%)

Error

30.1b

Counts

4 → 45

Calls

4 calls:

577.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
153.0ms	(-.f64 (.f64 g g) (.f64 h h))
121.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
115.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4239 to 2993 computations (29.4% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4958	1845
1	4958	1845

prune195.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	105	19	124

Error

29.9b

Counts

124 → 19

Compiler

Compiled 4033 to 1584 computations (60.7% saved)

regimes3.2s (19.1%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 49136 to 29784 computations (39.4% 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%)

sample5.6s (32.8%)

Algorithm

1×

intervals

Results

1.3s	7568×	body	256	valid
106.0ms	1281×	body	128	nan
37.0ms	432×	body	128	valid

Compiler

Compiled 6262 to 3808 computations (39.2% saved)

Details

analyze638.0ms (3.8%)

sample62.0ms (0.4%)

simplify233.0ms (1.4%)

prune7.0ms (0%)

localize17.0ms (0.1%)

rewrite208.0ms (1.2%)

series1.7s (9.8%)

simplify55.0ms (0.3%)

prune287.0ms (1.7%)

localize20.0ms (0.1%)

rewrite157.0ms (0.9%)

series1.3s (7.5%)

simplify50.0ms (0.3%)

prune269.0ms (1.6%)

localize21.0ms (0.1%)

rewrite150.0ms (0.9%)

series1.3s (7.5%)

simplify47.0ms (0.3%)

prune258.0ms (1.5%)

localize20.0ms (0.1%)

rewrite159.0ms (0.9%)

series1.0s (6.2%)

simplify71.0ms (0.4%)

prune195.0ms (1.1%)

regimes3.2s (19.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (32.8%)

Profiling