Details

analyze299.0ms (7.9%)

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 (1.2%)

Algorithm

1×

intervals

Results

11.0ms	95×	body	256	valid
11.0ms	288×	pre	128	true
10.0ms	161×	body	128	valid
2.0ms	32×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify265.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (258.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	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: 42.2b

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 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
36.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (1%)

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))

series431.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
61.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune131.0ms (3.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	71	14	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	14	86

Merged error: 5.6b

Counts

86 → 14

Compiler

Compiled 2288 to 1399 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 (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune18.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 5.6b

Counts

14 → 14

Compiler

Compiled 374 to 269 computations (28.1% 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))

rewrite30.0ms (0.8%)

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:

11.0ms	(/.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)

series113.0ms (3%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
36.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
34.0ms	(/.f64 (*.f64 a c) b)

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5045	877

prune96.0ms (2.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	79	22	101

Merged error: 5.6b

Counts

101 → 22

Compiler

Compiled 1575 to 918 computations (41.7% saved)

localize7.0ms (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)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`
1×	`associate-/l/_binary64` `associate-*r/_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)
5.0ms	(/.f64 (*.f64 a c) b)

series73.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(/.f64 (*.f64 a c) b)
34.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4970	517
1	4970	517

prune36.0ms (1%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	1	19	20
Picked	0	1	1
Done	0	1	1
Total	48	27	75

Merged error: 5.6b

Counts

75 → 27

Compiler

Compiled 556 to 253 computations (54.5% saved)

regimes241.0ms (6.3%)

Compiler: Compiled 2348 to 1736 computations (26.1% saved)

bsearch20.0ms (0.5%)

Steps

Iters	Range		Point
4	21.342746771990512	39.72573922138097	29.964069707468617

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 (45.9%)

Algorithm

1×

intervals

Results

344.0ms	2931×	body	256	valid
310.0ms	5065×	body	128	valid
282.0ms	8884×	pre	128	true
51.0ms	884×	body	128	nan
1.0ms	4×	body	512	valid

Compiler

Compiled 653 to 479 computations (26.6% saved)

Details

analyze299.0ms (7.9%)

sample44.0ms (1.2%)

simplify265.0ms (7%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite37.0ms (1%)

series431.0ms (11.4%)

simplify52.0ms (1.4%)

prune131.0ms (3.4%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune18.0ms (0.5%)

localize9.0ms (0.2%)

rewrite30.0ms (0.8%)

series113.0ms (3%)

simplify63.0ms (1.7%)

prune96.0ms (2.5%)

localize7.0ms (0.2%)

rewrite15.0ms (0.4%)

series73.0ms (1.9%)

simplify47.0ms (1.2%)

prune36.0ms (1%)

regimes241.0ms (6.3%)

bsearch20.0ms (0.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (45.9%)

Profiling