Details

analyze262.0ms (5.5%)

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)

sample42.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	155×	body	160	valid
11.0ms	288×	pre	80	true
5.0ms	101×	body	80	valid
2.0ms	32×	body	80	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify400.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (386.0ms)

Iter	Nodes	Cost
0	1803	24
1	1803	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: 29.8b

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))
29.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.8%)

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))

series451.0ms (9.4%)

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))
139.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
65.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify129.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4934	1877
1	4934	1877

prune135.0ms (2.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 9.5b

Counts

90 → 17

Compiler

Compiled 2463 to 1516 computations (38.4% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune23.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 9.5b

Counts

17 → 17

Compiler

Compiled 477 to 342 computations (28.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.2b	(.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` `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))
10.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series117.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
38.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
35.0ms	(/.f64 (*.f64 a c) b)

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	904
1	4947	904

prune109.0ms (2.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	76	14	90
Fresh	0	15	15
Picked	1	0	1
Done	1	0	1
Total	78	29	107

Merged error: 9.3b

Counts

107 → 29

Compiler

Compiled 1788 to 1068 computations (40.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `insert-posit16`

Counts

2 → 268

Calls

2 calls:

14.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
7.0ms	(/.f64 3 (/.f64 c b))

series57.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
27.0ms	(/.f64 3 (/.f64 c b))

simplify210.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4961	6076
1	4961	6076

prune283.0ms (5.9%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	260	14	274
Fresh	8	20	28
Picked	1	0	1
Done	0	0	0
Total	269	34	303

Merged error: 9.3b

Counts

303 → 34

Compiler

Compiled 4651 to 2666 computations (42.7% saved)

regimes431.0ms (9%)

Compiler: Compiled 3144 to 2408 computations (23.4% saved)

bsearch2.0ms (0%)

Steps

Iters	Range		Point
0	4210.509266627646	4303.182016854505	4256.845641741075

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (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 (39.3%)

Algorithm

1×

intervals

Results

431.0ms	4456×	body	160	valid
281.0ms	8992×	pre	80	true
179.0ms	3544×	body	80	valid
50.0ms	992×	body	80	nan

Compiler

Compiled 854 to 649 computations (24% saved)

Details

analyze262.0ms (5.5%)

sample42.0ms (0.9%)

simplify400.0ms (8.3%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite39.0ms (0.8%)

series451.0ms (9.4%)

simplify129.0ms (2.7%)

prune135.0ms (2.8%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify20.0ms (0.4%)

prune23.0ms (0.5%)

localize8.0ms (0.2%)

rewrite31.0ms (0.6%)

series117.0ms (2.4%)

simplify91.0ms (1.9%)

prune109.0ms (2.3%)

localize7.0ms (0.1%)

rewrite44.0ms (0.9%)

series57.0ms (1.2%)

simplify210.0ms (4.4%)

prune283.0ms (5.9%)

regimes431.0ms (9%)

bsearch2.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.9s (39.3%)

Profiling