Details

analyze587.0ms (5%)

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)

sample57.0ms (0.5%)

Algorithm

1×

intervals

Results

38.0ms	246×	body	256	valid
4.0ms	47×	body	128	nan
1.0ms	10×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify232.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

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

33.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite173.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

10×	`cbrt-div_binary64_1815`
8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `frac-times_binary64_1793` `associate-*r/_binary64_1725`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `difference-of-squares_binary64_1752` `rem-sqrt-square_binary64_1796` `pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-*l/_binary64_1726` `cbrt-prod_binary64_1814`

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)

series1.0s (8.7%)

Error

29.9b

Counts

4 → 34

Calls

4 calls:

423.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
422.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
51.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4022 to 2993 computations (25.6% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4935	2037
1	4935	2037

prune193.0ms (1.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	79	15	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	80	16	96

Error

29.4b

Counts

96 → 16

Compiler

Compiled 4513 to 1948 computations (56.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
5.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite125.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`flip3--_binary64_1787` `flip--_binary64_1758` `cbrt-div_binary64_1815`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `sqrt-div_binary64_1800`
3×	`difference-of-squares_binary64_1752`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `frac-times_binary64_1793` `associate-*r/_binary64_1725`
1×	`pow1/3_binary64_1865` `associate-*l/_binary64_1726` `cbrt-prod_binary64_1814` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`

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	(-.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 2702 to 910 computations (66.3% saved)

series701.0ms (6%)

Error

28.8b

Counts

4 → 36

Calls

4 calls:

414.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
115.0ms	(-.f64 (.f64 g g) (.f64 h h))
58.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3605 to 2590 computations (28.2% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5091	1588

prune185.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	93	18	111

Error

28.8b

Counts

111 → 18

Compiler

Compiled 4369 to 1810 computations (58.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
2.6b	(-.f64 (.f64 g g) (.f64 h h))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

Rules

8×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `difference-of-squares_binary64_1752`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`

Counts

4 → 58

Calls

4 calls:

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

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series389.0ms (3.3%)

Error

28.8b

Counts

4 → 38

Calls

4 calls:

116.0ms	(-.f64 (.f64 g g) (.f64 h h))
105.0ms	(-.f64 (.f64 g g) (.f64 h h))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3294 to 2250 computations (31.7% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4922	1140
1	4922	1140

prune168.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	95	19	114

Error

28.8b

Counts

114 → 19

Compiler

Compiled 4291 to 1674 computations (61% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
2.6b	(-.f64 (.f64 g g) (.f64 h h))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

Rules

8×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `difference-of-squares_binary64_1752`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`

Counts

4 → 58

Calls

4 calls:

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

series370.0ms (3.2%)

Error

28.8b

Counts

4 → 38

Calls

4 calls:

110.0ms	(-.f64 (.f64 g g) (.f64 h h))
107.0ms	(-.f64 (.f64 g g) (.f64 h h))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3294 to 2250 computations (31.7% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4922	1140
1	4922	1140

prune122.0ms (1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	96	19	115

Error

28.8b

Counts

115 → 19

Compiler

Compiled 3494 to 1195 computations (65.8% saved)

regimes2.2s (18.4%)

Accuracy

Total 1.7b remaining (5.4%)

Threshold costs 0b (0%)

Compiler

Compiled 37385 to 23282 computations (37.7% 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%)

sample4.6s (39.3%)

Algorithm

1×

intervals

Results

1.2s	7586×	body	256	valid
96.0ms	1264×	body	128	nan
33.0ms	414×	body	128	valid

Compiler

Compiled 4765 to 2990 computations (37.3% saved)

Details

analyze587.0ms (5%)

sample57.0ms (0.5%)

simplify232.0ms (2%)

prune6.0ms (0.1%)

localize20.0ms (0.2%)

rewrite173.0ms (1.5%)

series1.0s (8.7%)

simplify67.0ms (0.6%)

prune193.0ms (1.7%)

localize22.0ms (0.2%)

rewrite125.0ms (1.1%)

series701.0ms (6%)

simplify69.0ms (0.6%)

prune185.0ms (1.6%)

localize20.0ms (0.2%)

rewrite106.0ms (0.9%)

series389.0ms (3.3%)

simplify88.0ms (0.8%)

prune168.0ms (1.4%)

localize18.0ms (0.2%)

rewrite106.0ms (0.9%)

series370.0ms (3.2%)

simplify85.0ms (0.7%)

prune122.0ms (1%)

regimes2.2s (18.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (39.3%)

Profiling