Details

analyze257.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample33.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
8.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify472.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (301.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 27.8b

Counts

2 → 1

Compiler

Compiled 65 to 53 computations (18.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
27.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1821`
14×	`add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `add-exp-log_binary64_1837`
9×	`pow1_binary64_1860`
8×	`add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838`
6×	`associate-/l*_binary64_1744` `difference-of-squares_binary64_1768` `times-frac_binary64_1805`
4×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `cancel-sign-sub-inv_binary64_1765`
3×	`sqrt-prod_binary64_1815` `flip--_binary64_1774` `flip3--_binary64_1803` `pow-prod-down_binary64_1870` `distribute-lft-out--_binary64_1751` `associate-r_binary64_1739`
2×	`sub-neg_binary64_1792` `div-exp_binary64_1850` `diff-log_binary64_1891` `cbrt-undiv_binary64_1833` `associate-/l/_binary64_1746`
1×	`div-sub_binary64_1804` `clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `associate-l_binary64_1740` `-commutative_binary64_1730` `div-inv_binary64_1796`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
6.0ms	(.f64 (.f64 3 a) c)

series449.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
67.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune556.0ms (10.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	74	15	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	15	90

Merged error: 9.1b

Counts

90 → 15

Compiler

Compiled 11900 to 8243 computations (30.7% saved)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 9.1b

Counts

15 → 15

Compiler

Compiled 440 to 311 computations (29.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
17×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
16×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
10×	`add-sqr-sqrt_binary64_1821`
8×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
7×	`times-frac_binary64_1805` `associate-r_binary64_1739`
5×	`pow1_binary64_1860`
4×	`associate-/r*_binary64_1743`
3×	`add-log-exp_binary64_1838` `associate-l_binary64_1740` `div-inv_binary64_1796`
2×	`clear-num_binary64_1798` `associate-/l_binary64_1744` `frac-2neg_binary64_1810` `associate-r/_binary64_1741`
1×	`unswap-sqr_binary64_1767` `associate-/l/_binary64_1746` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`

Counts

3 → 78

Calls

3 calls:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series116.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
39.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
33.0ms	(/.f64 (*.f64 a c) b)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5036	877

prune745.0ms (14.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	76	11	87
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	77	25	102

Merged error: 9.0b

Counts

102 → 25

Compiler

Compiled 15204 to 10901 computations (28.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 -3/2 (.f64 a c))
0.3b	(.f64 b (.f64 a 3))
0.4b	(/.f64 (.f64 -3/2 (.f64 a c)) (.f64 b (.f64 a 3)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
24×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
13×	`pow1_binary64_1860`
9×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
6×	`associate-l_binary64_1740` `pow-prod-down_binary64_1870`
5×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
3×	`add-log-exp_binary64_1838`
2×	`-commutative_binary64_1730` `associate-r*_binary64_1739`
1×	`clear-num_binary64_1798` `associate-/l_binary64_1744` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `times-frac_binary64_1805` `div-inv_binary64_1796`

Counts

3 → 67

Calls

3 calls:

10.0ms	(/.f64 (.f64 -3/2 (.f64 a c)) (.f64 b (.f64 a 3)))
5.0ms	(.f64 b (.f64 a 3))
5.0ms	(.f64 -3/2 (.f64 a c))

series103.0ms (2%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(/.f64 (.f64 -3/2 (.f64 a c)) (.f64 b (.f64 a 3)))
34.0ms	(.f64 b (.f64 a 3))
33.0ms	(.f64 -3/2 (.f64 a c))

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5129	674

prune328.0ms (6.2%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	3	20	23
Picked	1	0	1
Done	0	1	1
Total	73	28	101

Merged error: 9.0b

Counts

101 → 28

Compiler

Compiled 6450 to 4680 computations (27.4% saved)

regimes345.0ms (6.5%)

Compiler: Compiled 2656 to 2012 computations (24.2% saved)

bsearch11.0ms (0.2%)

Steps

Iters	Range		Point
3	18863.07658552566	23149.337602407184	21274.098407521516

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	58
1	83	58

end0.0ms (0%)

sample1.5s (28.8%)

Algorithm

1×

intervals

Results

382.0ms	7697×	body	128	valid
269.0ms	8940×	pre	128	true
43.0ms	940×	body	128	nan
30.0ms	303×	body	256	valid

Compiler

Compiled 730 to 548 computations (24.9% saved)

Details

analyze257.0ms (4.9%)

sample33.0ms (0.6%)

simplify472.0ms (8.9%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite46.0ms (0.9%)

series449.0ms (8.5%)

simplify74.0ms (1.4%)

prune556.0ms (10.5%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune20.0ms (0.4%)

localize7.0ms (0.1%)

rewrite28.0ms (0.5%)

series116.0ms (2.2%)

simplify64.0ms (1.2%)

prune745.0ms (14.1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.5%)

series103.0ms (2%)

simplify55.0ms (1%)

prune328.0ms (6.2%)

regimes345.0ms (6.5%)

bsearch11.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (28.8%)

Profiling