Details

analyze6.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample33.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	53×	body	1024	valid
7.0ms	139×	body	128	valid
6.0ms	42×	body	512	valid
1.0ms	6×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify313.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Merged error: 29.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize26.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite68.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
10×	`*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749`
4×	`difference-of-squares_binary64_1752`
3×	`add-cube-cbrt_binary64_1818` `distribute-lft-out--_binary64_1735` `add-log-exp_binary64_1822`
1×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `diff-log_binary64_1875` `flip--_binary64_1758` `sub-neg_binary64_1776` `pow1_binary64_1844`

Counts

1 → 24

Calls

1 calls:

37.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series139.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

139.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4981	542
1	4981	542

prune276.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	16	11	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	12	28

Merged error: 0.1b

Counts

28 → 12

Compiler

Compiled 637 to 441 computations (30.8% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite130.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_1783`
20×	`distribute-lft-out_binary64_1734` `sqrt-prod_binary64_1799`
18×	`times-frac_binary64_1789`
13×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
6×	`add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
4×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `pow1_binary64_1844`
2×	`associate-/r/_binary64_1729` `flip-+_binary64_1757` `div-exp_binary64_1834` `flip3-+_binary64_1786`
1×	`+-commutative_binary64_1713` `inv-pow_binary64_1868` `1-exp_binary64_1827` `div-inv_binary64_1780` `pow-flip_binary64_1857` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `clear-num_binary64_1782` `rec-exp_binary64_1833`

Counts

2 → 59

Calls

2 calls:

50.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
35.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series208.0ms (1%)

Counts

2 → 6

Calls

2 calls:

120.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
87.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

simplify247.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4980	1269
1	4980	1269

prune1.2s (5.6%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	43	22	65
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	43	34	77

Merged error: 0.0b

Counts

77 → 34

Compiler

Compiled 1743 to 1287 computations (26.2% saved)

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_1821`
11×	`*-un-lft-identity_binary64_1783`
7×	`add-cbrt-cube_binary64_1819`
5×	`pow1_binary64_1844`
4×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734` `sqrt-prod_binary64_1799` `div-exp_binary64_1834` `add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `prod-exp_binary64_1832` `times-frac_binary64_1789`
2×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729` `1-exp_binary64_1827` `flip-+_binary64_1757` `pow-flip_binary64_1857` `cbrt-undiv_binary64_1817` `flip3-+_binary64_1786` `rec-exp_binary64_1833`
1×	`+-commutative_binary64_1713` `inv-pow_binary64_1868` `cbrt-unprod_binary64_1816` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `clear-num_binary64_1782` `pow-prod-down_binary64_1854`

Counts

2 → 44

Calls

2 calls:

60.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
33.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

series222.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

135.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
87.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

simplify289.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	4898	865
1	4898	865

prune1.3s (6.1%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	2	29	31
Picked	0	1	1
Done	0	2	2
Total	43	41	84

Merged error: 0.0b

Counts

84 → 41

Compiler

Compiled 1637 to 1243 computations (24.1% saved)

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite97.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
9×	`prod-exp_binary64_1832`
8×	`pow1_binary64_1844`
6×	`div-exp_binary64_1834`
4×	`associate-*r/_binary64_1725` `add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734` `sqrt-prod_binary64_1799` `add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `cbrt-unprod_binary64_1816` `1-exp_binary64_1827` `pow-flip_binary64_1857` `times-frac_binary64_1789` `cbrt-undiv_binary64_1817` `pow-prod-down_binary64_1854` `rec-exp_binary64_1833`
2×	`associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786`
1×	`+-commutative_binary64_1713` `inv-pow_binary64_1868` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `clear-num_binary64_1782`

Counts

2 → 49

Calls

2 calls:

55.0ms	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
26.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

series165.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
57.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4927	928
1	4927	928

prune1.5s (7%)

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	3	34	37
Picked	0	1	1
Done	0	3	3
Total	49	47	96

Merged error: 0.0b

Counts

96 → 47

Compiler

Compiled 927 to 688 computations (25.8% saved)

regimes1.5s (7.3%)

Compiler: Compiled 3376 to 2806 computations (16.9% saved)

bsearch2.7s (12.9%)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample10.0s (47.7%)

Algorithm

1×

intervals

Results

753.0ms	1963×	body	1024	valid
467.0ms	4279×	body	128	valid
265.0ms	1036×	body	512	valid
186.0ms	480×	body	256	valid
113.0ms	242×	body	2048	valid

Compiler

Compiled 1747 to 1446 computations (17.2% saved)

Pareto

0.0016156668905002113

Details

analyze6.0ms (0%)

sample33.0ms (0.2%)

simplify313.0ms (1.5%)

prune7.0ms (0%)

localize26.0ms (0.1%)

rewrite68.0ms (0.3%)

series139.0ms (0.7%)

simplify87.0ms (0.4%)

prune276.0ms (1.3%)

localize25.0ms (0.1%)

rewrite130.0ms (0.6%)

series208.0ms (1%)

simplify247.0ms (1.2%)

prune1.2s (5.6%)

localize38.0ms (0.2%)

rewrite108.0ms (0.5%)

series222.0ms (1.1%)

simplify289.0ms (1.4%)

prune1.3s (6.1%)

localize38.0ms (0.2%)

rewrite97.0ms (0.5%)

series165.0ms (0.8%)

simplify205.0ms (1%)

prune1.5s (7%)

regimes1.5s (7.3%)

bsearch2.7s (12.9%)

simplify62.0ms (0.3%)

end0.0ms (0%)

sample10.0s (47.7%)

Profiling