Details

analyze495.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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 (0.5%)

Algorithm

1×

intervals

Results

12.0ms	246×	body	128	valid
9.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan
1.0ms	10×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify278.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (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

Error

29.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% 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))
28.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1805`
14×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783`
9×	`pow1_binary64_1844`
8×	`add-cube-cbrt_binary64_1818` `add-log-exp_binary64_1822`
6×	`difference-of-squares_binary64_1752` `associate-/l*_binary64_1728` `times-frac_binary64_1789`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749`
3×	`flip3--_binary64_1787` `distribute-lft-out--_binary64_1735` `sqrt-prod_binary64_1799` `pow-prod-down_binary64_1854` `flip--_binary64_1758` `associate-r_binary64_1723`
2×	`associate-/l/_binary64_1730` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `sub-neg_binary64_1776`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `associate-/r_binary64_1727` `associate-l_binary64_1724` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series218.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
67.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
32.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
14.0ms	(.f64 (.f64 3 a) c)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5180	1823

prune127.0ms (2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	73	16	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	16	90

Error

9.0b

Counts

90 → 16

Compiler

Compiled 2463 to 1506 computations (38.9% saved)

localize4.0ms (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

prune22.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Error

9.0b

Counts

16 → 16

Compiler

Compiled 482 to 340 computations (29.5% saved)

localize9.0ms (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 (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
17×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
16×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
10×	`add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`times-frac_binary64_1789` `associate-r_binary64_1723`
5×	`pow1_binary64_1844`
4×	`associate-/r*_binary64_1727`
3×	`div-inv_binary64_1780` `associate-l_binary64_1724` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `associate-/l_binary64_1728` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`associate-/l/_binary64_1730` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
4.0ms	(/.f64 (*.f64 a c) b)

series67.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
21.0ms	(/.f64 (*.f64 a c) b)
20.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune105.0ms (1.7%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	71	16	87
Fresh	0	14	14
Picked	1	0	1
Done	1	0	1
Total	73	30	103

Error

8.9b

Counts

103 → 30

Compiler

Compiled 1779 to 1067 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_1789`
229×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
57×	`associate-/r*_binary64_1727`
22×	`div-inv_binary64_1780`
16×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
9×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`associate-/r/_binary64_1729` `associate-/l*_binary64_1728`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

2 → 266

Calls

2 calls:

12.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms	(/.f64 3 (/.f64 c b))

series28.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
13.0ms	(/.f64 3 (/.f64 c b))

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5023	6058

prune286.0ms (4.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	9	20	29
Picked	1	0	1
Done	0	0	0
Total	266	36	302

Error

8.9b

Counts

302 → 36

Compiler

Compiled 4635 to 2656 computations (42.7% saved)

regimes1.2s (19.6%)

Accuracy

Total 6.0b remaining (39.7%)

Threshold costs 0b (0%)

Compiler

Compiled 10866 to 8561 computations (21.2% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample3.0s (47.5%)

Algorithm

1×

intervals

Results

398.0ms	7694×	body	128	valid
280.0ms	8962×	pre	128	true
45.0ms	962×	body	128	nan
29.0ms	306×	body	256	valid

Compiler

Compiled 2248 to 1762 computations (21.6% saved)

Details

analyze495.0ms (7.9%)

sample33.0ms (0.5%)

simplify278.0ms (4.4%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite38.0ms (0.6%)

series218.0ms (3.5%)

simplify61.0ms (1%)

prune127.0ms (2%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune22.0ms (0.3%)

localize9.0ms (0.1%)

rewrite28.0ms (0.4%)

series67.0ms (1.1%)

simplify53.0ms (0.8%)

prune105.0ms (1.7%)

localize5.0ms (0.1%)

rewrite51.0ms (0.8%)

series28.0ms (0.4%)

simplify132.0ms (2.1%)

prune286.0ms (4.6%)

regimes1.2s (19.6%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample3.0s (47.5%)

Profiling