Details

analyze272.0ms (6.4%)

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)

sample54.0ms (1.3%)

Algorithm

1×

intervals

Results

19.0ms	109×	body	320	valid
9.0ms	95×	body	160	valid
9.0ms	283×	pre	80	true
4.0ms	19×	body	640	valid
2.0ms	33×	body	80	valid
1.0ms	27×	body	80	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify404.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (389.0ms)

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: 52.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
25.5b	(-.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)
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series473.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
142.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
74.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
32.0ms	(.f64 (.f64 3 a) c)

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4931	1877
1	4931	1877

prune136.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 3.0b

Counts

90 → 11

Compiler

Compiled 2297 to 1393 computations (39.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 3.0b

Counts

11 → 11

Compiler

Compiled 311 to 218 computations (29.9% saved)

localize10.0ms (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))
0.3b	(/.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))
9.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
6.0ms	(/.f64 (*.f64 a c) b)

series122.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
42.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
36.0ms	(/.f64 (*.f64 a c) b)

simplify133.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5039	907

prune92.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	83	18	101

Merged error: 3.0b

Counts

101 → 18

Compiler

Compiled 1532 to 875 computations (42.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.5%)

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` `insert-posit16`
1×	`associate-/l/_binary64` `associate-*r/_binary64`

Counts

2 → 49

Calls

2 calls:

11.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)
6.0ms	(/.f64 (*.f64 a c) b)

series82.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(/.f64 (*.f64 a c) b)
40.0ms	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b)) a)

simplify111.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4952	532
1	4952	532

prune39.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	55	18	73

Merged error: 3.0b

Counts

73 → 18

Compiler

Compiled 572 to 260 computations (54.5% saved)

regimes157.0ms (3.7%)

Compiler: Compiled 1776 to 1284 computations (27.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.9s (44.9%)

Algorithm

1×

intervals

Results

534.0ms	3670×	body	320	valid
284.0ms	2881×	body	160	valid
280.0ms	8829×	pre	80	true
98.0ms	499×	body	640	valid
50.0ms	950×	body	80	valid
43.0ms	829×	body	80	nan

Compiler

Compiled 476 to 347 computations (27.1% saved)

Details

analyze272.0ms (6.4%)

sample54.0ms (1.3%)

simplify404.0ms (9.6%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

rewrite39.0ms (0.9%)

series473.0ms (11.2%)

simplify92.0ms (2.2%)

prune136.0ms (3.2%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify19.0ms (0.5%)

prune15.0ms (0.3%)

localize10.0ms (0.2%)

rewrite29.0ms (0.7%)

series122.0ms (2.9%)

simplify133.0ms (3.1%)

prune92.0ms (2.2%)

localize7.0ms (0.2%)

rewrite19.0ms (0.5%)

series82.0ms (1.9%)

simplify111.0ms (2.6%)

prune39.0ms (0.9%)

regimes157.0ms (3.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (44.9%)

Profiling