Details

analyze564.0ms (19.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 10.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.7b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series67.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

67.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune67.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

Compiler

Compiled 909 to 558 computations (38.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
9.3b	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
20×	`times-frac_binary64`
17×	`div-exp_binary64`
13×	`cbrt-undiv_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-unprod_binary64`
6×	`associate-/r*_binary64` `div-inv_binary64`
5×	`rec-exp_binary64`
4×	`associate-/l*_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 72

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
8.0ms	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

series135.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
63.0ms	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5069	1095

prune91.0ms (3.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

Compiler

Compiled 1582 to 712 computations (55% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (*.f64 b1 b2))
10.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
21×	`prod-exp_binary64`
12×	`cbrt-unprod_binary64`
10×	`pow1_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `rec-exp_binary64` `times-frac_binary64` `div-exp_binary64`
4×	`pow-prod-down_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `pow-flip_binary64`
1×	`associate-/r_binary64` `associate-r/_binary64` `associate-l_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `*-commutative_binary64`

Counts

2 → 62

Calls

2 calls:

11.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
5.0ms	(/.f64 1 (*.f64 b1 b2))

series84.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
22.0ms	(/.f64 1 (*.f64 b1 b2))

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5007	659

prune136.0ms (4.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	67	10	77

Merged error: 0b

Counts

77 → 10

Compiler

Compiled 2022 to 1361 computations (32.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (/.f64 1 b1) b2)
10.1b	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))

rewrite46.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac_binary64`
79×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
43×	`associate-r_binary64`
37×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
12×	`prod-exp_binary64` `div-exp_binary64`
9×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
7×	`pow1_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64`
1×	`associate-/l/_binary64` `associate-r/_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 140

Calls

2 calls:

21.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
7.0ms	(/.f64 (/.f64 1 b1) b2)

series85.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
21.0ms	(/.f64 (/.f64 1 b1) b2)

simplify77.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5383	2188

prune130.0ms (4.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	146	10	156

Merged error: 0b

Counts

156 → 10

Compiler

Compiled 2457 to 1154 computations (53% saved)

regimes350.0ms (12.1%)

Compiler: Compiled 699 to 739 computations (-5.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	113
1	35	113

end0.0ms (0%)

sample723.0ms (25%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
55.0ms	1873×	body	128	invalid

Compiler

Compiled 175 to 131 computations (25.1% saved)

Details

analyze564.0ms (19.5%)

sample20.0ms (0.7%)

simplify14.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series67.0ms (2.3%)

simplify71.0ms (2.5%)

prune67.0ms (2.3%)

localize7.0ms (0.2%)

rewrite24.0ms (0.8%)

series135.0ms (4.7%)

simplify68.0ms (2.3%)

prune91.0ms (3.2%)

localize7.0ms (0.2%)

rewrite21.0ms (0.7%)

series84.0ms (2.9%)

simplify81.0ms (2.8%)

prune136.0ms (4.7%)

localize7.0ms (0.2%)

rewrite46.0ms (1.6%)

series85.0ms (2.9%)

simplify77.0ms (2.7%)

prune130.0ms (4.5%)

regimes350.0ms (12.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample723.0ms (25%)

Profiling