Details

analyze435.0ms (8.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
0%	50%	50%	3
0%	50%	50%	3
12.5%	25%	62.5%	4
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	13
25%	0%	75%	14
25%	0%	75%	14

Compiler

Compiled 28 to 22 computations (21.4% saved)

sample601.0ms (11.9%)

Algorithm

2×

intervals

Results

81.0ms	1623×	body	128	nan
28.0ms	512×	body	128	valid

Compiler

Compiled 15007 to 12862 computations (14.3% saved)

simplify282.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	7544	20

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b	(-.f64 1 (*.f64 x x))
0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite167.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_1783`
26×	`times-frac_binary64_1789`
23×	`add-sqr-sqrt_binary64_1805`
16×	`distribute-lft-out_binary64_1734`
15×	`log-prod_binary64_1869`
14×	`add-cube-cbrt_binary64_1818`
12×	`div-inv_binary64_1780`
11×	`sqrt-prod_binary64_1799`
8×	`add-log-exp_binary64_1822`
6×	`pow1_binary64_1844` `distribute-rgt-out_binary64_1736`
5×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752`
3×	`log-div_binary64_1870`
2×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `frac-add_binary64_1791` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-rgt1-in_binary64_1739`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sum-log_binary64_1874` `+-commutative_binary64_1713` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `log-pow_binary64_1872` `rem-log-exp_binary64_1824`

Counts

4 → 82

Calls

4 calls:

27.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
23.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 1767 to 1138 computations (35.6% saved)

series230.0ms (4.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

71.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
49.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
48.0ms	(-.f64 1 (*.f64 x x))
38.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 693 to 589 computations (15% saved)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4895	1869
1	4895	1869

prune116.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1838 to 1195 computations (35% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))
0.0b	(log.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
27.9b	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))

rewrite115.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-exp-log_binary64_1821`
11×	`add-sqr-sqrt_binary64_1805`
10×	`*-un-lft-identity_binary64_1783`
9×	`add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818`
7×	`log-prod_binary64_1869`
6×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `times-frac_binary64_1789`
5×	`sqrt-prod_binary64_1799`
4×	`div-exp_binary64_1834`
3×	`associate-/l*_binary64_1728` `rem-log-exp_binary64_1824`
2×	`prod-exp_binary64_1832` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `flip3-+_binary64_1786` `associate-/l/_binary64_1730` `flip-+_binary64_1757` `sqrt-div_binary64_1800` `difference-of-squares_binary64_1752`
1×	`cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `flip3--_binary64_1787` `flip--_binary64_1758` `rem-sqrt-square_binary64_1796` `log-pow_binary64_1872` `log-div_binary64_1870` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 70

Calls

4 calls:

7.0ms	(log.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))
6.0ms	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))

Compiler

Compiled 1811 to 957 computations (47.2% saved)

series227.0ms (4.5%)

Error

Counts

4 → 24

Calls

4 calls:

74.0ms	(log.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))
53.0ms	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
47.0ms	(+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))
32.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 747 to 590 computations (21% saved)

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5246	1674

prune101.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Error

Counts

96 → 2

Compiler

Compiled 1736 to 1044 computations (39.9% saved)

regimes70.0ms (1.4%)

Accuracy

Total 0.0b remaining (96.8%)

Threshold costs 0.0b (96.8%)

Compiler

Compiled 379 to 292 computations (23% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms (0%)

sample2.5s (49.7%)

Algorithm

1×

intervals

Results

1.2s	24313×	body	128	nan
436.0ms	8000×	body	128	valid

Compiler

Compiled 134 to 105 computations (21.6% saved)

Details

analyze435.0ms (8.6%)

sample601.0ms (11.9%)

simplify282.0ms (5.6%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite167.0ms (3.3%)

series230.0ms (4.6%)

simplify90.0ms (1.8%)

prune116.0ms (2.3%)

localize10.0ms (0.2%)

rewrite115.0ms (2.3%)

series227.0ms (4.5%)

simplify75.0ms (1.5%)

prune101.0ms (2%)

regimes70.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.5s (49.7%)

Profiling