Details

analyze261.0ms (5.9%)

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)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	140×	body	160	valid
9.0ms	283×	pre	80	true
6.0ms	116×	body	80	valid
2.0ms	27×	body	80	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify406.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (388.0ms)

Iter	Nodes	Cost
0	1708	24
1	1708	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: 28.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (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` `insert-posit16`
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:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(-.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))

series445.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
135.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4931	1877
1	4931	1877

prune136.0ms (3.1%)

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 2455 to 1504 computations (38.7% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune23.0ms (0.5%)

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 469 to 330 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.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` `insert-posit16`
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 → 81

Calls

3 calls:

11.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
6.0ms	(/.f64 (*.f64 a c) b)

series120.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
42.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
35.0ms	(/.f64 (*.f64 a c) b)

simplify128.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5039	907

prune108.0ms (2.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	76	14	90
Fresh	0	14	14
Picked	1	0	1
Done	1	0	1
Total	78	28	106

Merged error: 9.3b

Counts

106 → 28

Compiler

Compiled 1770 to 1049 computations (40.7% saved)

localize5.0ms (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)))

rewrite20.0ms (0.4%)

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` `insert-posit16`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 58

Calls

2 calls:

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

series54.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
25.0ms	(*.f64 b (/.f64 3 c))

simplify190.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	5062	623

prune48.0ms (1.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	3	24	27
Picked	0	1	1
Done	0	0	0
Total	61	31	92

Merged error: 9.3b

Counts

92 → 31

Compiler

Compiled 657 to 457 computations (30.4% saved)

regimes355.0ms (8%)

Compiler: Compiled 2856 to 2156 computations (24.5% saved)

bsearch2.0ms (0%)

Steps

Iters	Range		Point
0	1381.259195176484	1444.3365699039687	1412.7978825402263

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	84	61
1	84	61

end0.0ms (0%)

sample1.9s (42.1%)

Algorithm

1×

intervals

Results

456.0ms	4469×	body	160	valid
279.0ms	8996×	pre	80	true
190.0ms	3531×	body	80	valid
51.0ms	996×	body	80	nan

Compiler

Compiled 782 to 586 computations (25.1% saved)

Details

analyze261.0ms (5.9%)

sample39.0ms (0.9%)

simplify406.0ms (9.2%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite39.0ms (0.9%)

series445.0ms (10.1%)

simplify94.0ms (2.1%)

prune136.0ms (3.1%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify23.0ms (0.5%)

prune23.0ms (0.5%)

localize8.0ms (0.2%)

rewrite29.0ms (0.7%)

series120.0ms (2.7%)

simplify128.0ms (2.9%)

prune108.0ms (2.4%)

localize5.0ms (0.1%)

rewrite20.0ms (0.4%)

series54.0ms (1.2%)

simplify190.0ms (4.3%)

prune48.0ms (1.1%)

regimes355.0ms (8%)

bsearch2.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.9s (42.1%)

Profiling