Details

analyze269.0ms (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)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	285×	pre	128	true
8.0ms	86×	body	256	valid
8.0ms	170×	body	128	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify313.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (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: 41.5b

Counts

2 → 1

Compiler

Compiled 65 to 53 computations (18.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
37.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `cancel-sign-sub-inv_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 → 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)
8.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series456.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

220.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
137.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
71.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4915	1823
1	4915	1823

prune529.0ms (11.1%)

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: 5.4b

Counts

90 → 13

Compiler

Compiled 10571 to 7340 computations (30.6% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune19.0ms (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: 5.4b

Counts

13 → 13

Compiler

Compiled 324 to 234 computations (27.8% 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))

rewrite31.0ms (0.6%)

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:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series127.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
44.0ms	(/.f64 (*.f64 a c) b)
37.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5038	877

prune607.0ms (12.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	73	14	87
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	74	26	100

Merged error: 5.4b

Counts

100 → 26

Compiler

Compiled 10858 to 7917 computations (27.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
5×	`div-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
3×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `rec-exp_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `pow-flip_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

1 → 30

Calls

1 calls:

7.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

series29.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5041	265

prune149.0ms (3.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	24	24
Picked	0	1	1
Done	0	1	1
Total	31	28	59

Merged error: 5.4b

Counts

59 → 28

Compiler

Compiled 2506 to 1878 computations (25.1% saved)

regimes269.0ms (5.6%)

Compiler: Compiled 2256 to 1728 computations (23.4% saved)

bsearch8.0ms (0.2%)

Steps

Iters	Range		Point
1	6.754662938116656	7.241751532566378	7.119979383953948

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%)

sample1.6s (33.7%)

Algorithm

1×

intervals

Results

288.0ms	2982×	body	256	valid
271.0ms	8826×	pre	128	true
253.0ms	5017×	body	128	valid
40.0ms	826×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 630 to 477 computations (24.3% saved)

Details

analyze269.0ms (5.6%)

sample36.0ms (0.8%)

simplify313.0ms (6.6%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite46.0ms (1%)

series456.0ms (9.6%)

simplify71.0ms (1.5%)

prune529.0ms (11.1%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune19.0ms (0.4%)

localize8.0ms (0.2%)

rewrite31.0ms (0.6%)

series127.0ms (2.7%)

simplify64.0ms (1.3%)

prune607.0ms (12.7%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series29.0ms (0.6%)

simplify94.0ms (2%)

prune149.0ms (3.1%)

regimes269.0ms (5.6%)

bsearch8.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (33.7%)

Profiling