Details

analyze264.0ms (5.6%)

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)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	123×	body	256	valid
8.0ms	276×	pre	128	true
7.0ms	47×	body	512	valid
7.0ms	86×	body	128	valid
1.0ms	20×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify455.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (291.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	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

Merged error: 51.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.3%)

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))
0.3b	(.f64 (.f64 3 a) c)
23.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (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:

13.0ms	(/.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)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series465.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
136.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
31.0ms	(.f64 (.f64 3 a) c)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune141.0ms (3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Merged error: 2.5b

Counts

90 → 13

Compiler

Compiled 2340 to 1427 computations (39% saved)

localize4.0ms (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

prune17.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 2.5b

Counts

13 → 13

Compiler

Compiled 359 to 260 computations (27.6% saved)

localize8.0ms (0.2%)

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))

rewrite33.0ms (0.7%)

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:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
7.0ms	(/.f64 (*.f64 a c) b)

series121.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
41.0ms	(/.f64 (*.f64 a c) b)
37.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5036	877

prune91.0ms (1.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	81	19	100

Merged error: 2.5b

Counts

100 → 19

Compiler

Compiled 1536 to 887 computations (42.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
24×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
13×	`pow1_binary64_1844`
9×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`associate-l_binary64_1724` `pow-prod-down_binary64_1854`
5×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`add-log-exp_binary64_1822`
2×	`-commutative_binary64_1714` `associate-r*_binary64_1723`
1×	`associate-/l_binary64_1728` `div-inv_binary64_1780` `associate-/r_binary64_1727` `times-frac_binary64_1789` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

3 → 67

Calls

3 calls:

11.0ms	(/.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))

series105.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(/.f64 (.f64 -3/2 (.f64 a c)) (.f64 b (.f64 a 3)))
35.0ms	(.f64 -3/2 (.f64 a c))
32.0ms	(.f64 b (.f64 a 3))

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5129	674

prune54.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	75	20	95

Merged error: 2.5b

Counts

95 → 20

Compiler

Compiled 869 to 525 computations (39.6% saved)

regimes459.0ms (9.8%)

Compiler: Compiled 5076 to 3881 computations (23.5% saved)

bsearch4.0ms (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%)

sample2.1s (45.7%)

Algorithm

1×

intervals

Results

369.0ms	3788×	body	256	valid
267.0ms	8799×	pre	128	true
209.0ms	1490×	body	512	valid
140.0ms	2722×	body	128	valid
39.0ms	799×	body	128	nan

Compiler

Compiled 1090 to 826 computations (24.2% saved)

Details

analyze264.0ms (5.6%)

sample43.0ms (0.9%)

simplify455.0ms (9.7%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite41.0ms (0.9%)

series465.0ms (9.9%)

simplify70.0ms (1.5%)

prune141.0ms (3%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune17.0ms (0.4%)

localize8.0ms (0.2%)

rewrite33.0ms (0.7%)

series121.0ms (2.6%)

simplify64.0ms (1.4%)

prune91.0ms (1.9%)

localize8.0ms (0.2%)

rewrite28.0ms (0.6%)

series105.0ms (2.2%)

simplify53.0ms (1.1%)

prune54.0ms (1.1%)

regimes459.0ms (9.8%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (45.7%)

Profiling