Details

analyze266.0ms (6.1%)

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)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	114×	body	256	valid
11.0ms	279×	pre	128	true
7.0ms	49×	body	512	valid
5.0ms	93×	body	128	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify363.0ms (8.3%)

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

52.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
27.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.9%)

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:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series233.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
66.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
33.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5180	1823

prune135.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Error

3.1b

Counts

90 → 10

Compiler

Compiled 2264 to 1366 computations (39.7% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune13.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	0	0
Total	10	10

Error

3.1b

Counts

10 → 10

Compiler

Compiled 283 to 199 computations (29.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.6%)

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)

series68.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
24.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
19.0ms	(/.f64 (*.f64 a c) b)

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune89.0ms (2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	77	20	97

Error

3.1b

Counts

97 → 20

Compiler

Compiled 1500 to 856 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
0.8b	(pow.f64 (/.f64 c b) 3)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64_1789`
17×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
5×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
3×	`pow-unpow_binary64_1860` `pow1_binary64_1844`
2×	`rem-cube-cbrt_binary64_1806` `div-inv_binary64_1780` `cube-div_binary64_1812` `pow-exp_binary64_1851` `add-log-exp_binary64_1822`
1×	`associate-*r/_binary64_1725` `sqr-pow_binary64_1755` `cube-mult_binary64_1813` `unpow3_binary64_1849` `cbrt-prod_binary64_1814` `cbrt-div_binary64_1815` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `pow-to-exp_binary64_1852`

Counts

2 → 56

Calls

2 calls:

6.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
5.0ms	(pow.f64 (/.f64 c b) 3)

series57.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
23.0ms	(pow.f64 (/.f64 c b) 3)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5091	693

prune50.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	3	14	17
Picked	1	0	1
Done	0	2	2
Total	62	20	82

Error

3.1b

Counts

82 → 20

Compiler

Compiled 749 to 441 computations (41.1% saved)

regimes490.0ms (11.2%)

Accuracy

Total 3.6b remaining (58.5%)

Threshold costs 0b (0%)

Compiler

Compiled 5836 to 4531 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.3s (52.5%)

Algorithm

1×

intervals

Results

376.0ms	3837×	body	256	valid
272.0ms	8795×	pre	128	true
221.0ms	1513×	body	512	valid
130.0ms	2650×	body	128	valid
43.0ms	795×	body	128	nan

Compiler

Compiled 1193 to 928 computations (22.2% saved)

Details

analyze266.0ms (6.1%)

sample44.0ms (1%)

simplify363.0ms (8.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite40.0ms (0.9%)

series233.0ms (5.3%)

simplify63.0ms (1.4%)

prune135.0ms (3.1%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune13.0ms (0.3%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series68.0ms (1.6%)

simplify51.0ms (1.2%)

prune89.0ms (2%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series57.0ms (1.3%)

simplify30.0ms (0.7%)

prune50.0ms (1.1%)

regimes490.0ms (11.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (52.5%)

Profiling