Details

analyze257.0ms (6.1%)

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)

sample51.0ms (1.2%)

Algorithm

1×

intervals

Results

16.0ms	116×	body	320	valid
11.0ms	285×	pre	80	true
9.0ms	96×	body	160	valid
3.0ms	16×	body	640	valid
1.0ms	28×	body	80	valid
1.0ms	29×	body	80	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify404.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (390.0ms)

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: 52.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
25.4b	(-.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)
7.0ms	(.f64 (.f64 3 a) c)
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series457.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(/.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)
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
34.0ms	(.f64 (.f64 3 a) c)

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4931	1877
1	4931	1877

prune131.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 2.6b

Counts

90 → 10

Compiler

Compiled 2275 to 1380 computations (39.3% 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 (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune13.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	0	0
Total	10	10

Merged error: 2.6b

Counts

10 → 10

Compiler

Compiled 289 to 205 computations (29.1% saved)

localize7.0ms (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)

series124.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(.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)

simplify125.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5039	907

prune92.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	82	18	100

Merged error: 2.6b

Counts

100 → 18

Compiler

Compiled 1517 to 870 computations (42.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 a (/.f64 c b))
0.3b	(.f64 -3/2 (.f64 a (/.f64 c b)))
0.3b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
11×	`times-frac_binary64`
10×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64` `insert-posit16`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

3 → 86

Calls

3 calls:

12.0ms	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
8.0ms	(*.f64 a (/.f64 c b))
8.0ms	(.f64 -3/2 (.f64 a (/.f64 c b)))

series117.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(.f64 -3/2 (.f64 a (/.f64 c b)))
36.0ms	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
35.0ms	(*.f64 a (/.f64 c b))

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5297	949

prune67.0ms (1.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	92	21	113

Merged error: 2.6b

Counts

113 → 21

Compiler

Compiled 1197 to 614 computations (48.7% saved)

regimes171.0ms (4%)

Compiler: Compiled 1960 to 1456 computations (25.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.9s (44.1%)

Algorithm

1×

intervals

Results

501.0ms	3651×	body	320	valid
286.0ms	3020×	body	160	valid
268.0ms	8820×	pre	80	true
88.0ms	477×	body	640	valid
46.0ms	852×	body	80	valid
43.0ms	820×	body	80	nan

Compiler

Compiled 522 to 390 computations (25.3% saved)

Details

analyze257.0ms (6.1%)

sample51.0ms (1.2%)

simplify404.0ms (9.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite39.0ms (0.9%)

series457.0ms (10.8%)

simplify91.0ms (2.1%)

prune131.0ms (3.1%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify20.0ms (0.5%)

prune13.0ms (0.3%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series124.0ms (2.9%)

simplify125.0ms (2.9%)

prune92.0ms (2.2%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series117.0ms (2.8%)

simplify112.0ms (2.6%)

prune67.0ms (1.6%)

regimes171.0ms (4%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.9s (44.1%)

Profiling