Details

analyze334.0ms (5.1%)

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)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	241×	body	128	valid
12.0ms	288×	pre	128	true
2.0ms	32×	body	128	nan
2.0ms	15×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify646.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (426.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune7.0ms (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: 31.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
31.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite74.0ms (1.1%)

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:

26.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
18.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
13.0ms	(.f64 (.f64 3 a) c)
10.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series595.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

325.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
179.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
59.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
31.0ms	(.f64 (.f64 3 a) c)

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune146.0ms (2.2%)

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

Merged error: 9.4b

Counts

90 → 16

Compiler

Compiled 2417 to 1481 computations (38.7% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune39.0ms (0.6%)

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

Merged error: 9.4b

Counts

16 → 16

Compiler

Compiled 436 to 315 computations (27.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (*.f64 a c) b)
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite42.0ms (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:

14.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
5.0ms	(/.f64 (*.f64 a c) b)

series205.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
62.0ms	(/.f64 (*.f64 a c) b)
56.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5036	877

prune118.0ms (1.8%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	69	18	87
Fresh	0	14	14
Picked	1	0	1
Done	1	0	1
Total	71	32	103

Merged error: 9.3b

Counts

103 → 32

Compiler

Compiled 1750 to 1061 computations (39.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)
0.3b	(/.f64 (*.f64 a c) b)

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
8×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `associate-/r_binary64_1727` `-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
5×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
2×	`associate-/l*_binary64_1728` `div-inv_binary64_1780` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`
1×	`associate-*r/_binary64_1725` `associate-/l/_binary64_1730`

Counts

2 → 47

Calls

2 calls:

14.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)
9.0ms	(/.f64 (*.f64 a c) b)

series73.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)
35.0ms	(/.f64 (*.f64 a c) b)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4949	514
1	4949	514

prune42.0ms (0.6%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	5	26	31
Picked	0	1	1
Done	0	0	0
Total	51	34	85

Merged error: 9.3b

Counts

85 → 34

Compiler

Compiled 554 to 251 computations (54.7% saved)

regimes1.2s (18%)

Compiler: Compiled 6036 to 4621 computations (23.4% saved)

bsearch5.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.7s (41.2%)

Algorithm

1×

intervals

Results

496.0ms	7664×	body	128	valid
342.0ms	8991×	pre	128	true
62.0ms	991×	body	128	nan
41.0ms	336×	body	256	valid

Compiler

Compiled 1282 to 974 computations (24% saved)

Details

analyze334.0ms (5.1%)

sample45.0ms (0.7%)

simplify646.0ms (9.9%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite74.0ms (1.1%)

series595.0ms (9.1%)

simplify87.0ms (1.3%)

prune146.0ms (2.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.2%)

prune39.0ms (0.6%)

localize7.0ms (0.1%)

rewrite42.0ms (0.6%)

series205.0ms (3.1%)

simplify85.0ms (1.3%)

prune118.0ms (1.8%)

localize12.0ms (0.2%)

rewrite27.0ms (0.4%)

series73.0ms (1.1%)

simplify57.0ms (0.9%)

prune42.0ms (0.6%)

regimes1.2s (18%)

bsearch5.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (41.2%)

Profiling