Details

analyze297.0ms (7.6%)

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)

sample35.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	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)

simplify263.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	24

prune6.0ms (0.2%)

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: 29.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.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)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series453.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
138.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
74.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify53.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune125.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	70	15	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	15	86

Merged error: 9.9b

Counts

86 → 15

Compiler

Compiled 2366 to 1448 computations (38.8% 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 (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms (0.5%)

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: 9.9b

Counts

15 → 15

Compiler

Compiled 452 to 318 computations (29.6% saved)

localize9.0ms (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))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
16×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `times-frac_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

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))
5.0ms	(/.f64 (*.f64 a c) b)

series114.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
37.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
34.0ms	(/.f64 (*.f64 a c) b)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	877

prune102.0ms (2.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	71	16	87
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	72	30	102

Merged error: 9.8b

Counts

102 → 30

Compiler

Compiled 1756 to 1051 computations (40.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `times-frac_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 56

Calls

2 calls:

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

series59.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
25.0ms	(*.f64 b (/.f64 3 c))

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5058	605

prune53.0ms (1.3%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	7	21	28
Picked	1	0	1
Done	0	1	1
Total	62	30	92

Merged error: 9.8b

Counts

92 → 30

Compiler

Compiled 641 to 446 computations (30.4% saved)

regimes347.0ms (8.9%)

Compiler: Compiled 2884 to 2172 computations (24.7% saved)

bsearch2.0ms (0.1%)

Steps

Iters	Range		Point
0	12513.924731502713	12652.036822478034	12582.980776990373

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%)

sample1.7s (43.6%)

Algorithm

1×

intervals

Results

461.0ms	7684×	body	128	valid
292.0ms	9030×	pre	128	true
59.0ms	1030×	body	128	nan
36.0ms	316×	body	256	valid

Compiler

Compiled 787 to 588 computations (25.3% saved)

Details

analyze297.0ms (7.6%)

sample35.0ms (0.9%)

simplify263.0ms (6.7%)

prune6.0ms (0.2%)

localize11.0ms (0.3%)

rewrite37.0ms (0.9%)

series453.0ms (11.6%)

simplify53.0ms (1.3%)

prune125.0ms (3.2%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune20.0ms (0.5%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series114.0ms (2.9%)

simplify63.0ms (1.6%)

prune102.0ms (2.6%)

localize6.0ms (0.1%)

rewrite18.0ms (0.5%)

series59.0ms (1.5%)

simplify96.0ms (2.5%)

prune53.0ms (1.3%)

regimes347.0ms (8.9%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (43.6%)

Profiling