Details

analyze601.0ms (21.8%)

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)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify167.0ms (6.1%)

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: 10.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_3879` `add-cbrt-cube_binary64_3877`
4×	`prod-exp_binary64_3890` `cbrt-unprod_binary64_3874` `cbrt-undiv_binary64_3875` `div-exp_binary64_3892`
1×	`pow1_binary64_3902` `div-inv_binary64_3838` `times-frac_binary64_3847` `frac-2neg_binary64_3852` `add-sqr-sqrt_binary64_3863` `-un-lft-identity_binary64_3841` `clear-num_binary64_3840` `add-log-exp_binary64_3880` `add-cube-cbrt_binary64_3876` `associate-/l_binary64_3786` `associate-/r*_binary64_3785`

Counts

1 → 21

Calls

1 calls:

7.0ms

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

series61.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune22.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.1b

Counts

25 → 6

Compiler

Compiled 290 to 91 computations (68.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (*.f64 b1 b2))
9.8b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_3879`
30×	`prod-exp_binary64_3890`
28×	`add-cbrt-cube_binary64_3877`
12×	`cbrt-unprod_binary64_3874` `div-exp_binary64_3892`
10×	`pow1_binary64_3902`
7×	`associate-r_binary64_3781`
6×	`times-frac_binary64_3847` `add-sqr-sqrt_binary64_3863` `*-un-lft-identity_binary64_3841` `rec-exp_binary64_3891` `cbrt-undiv_binary64_3875` `add-cube-cbrt_binary64_3876` `1-exp_binary64_3885`
4×	`pow-prod-down_binary64_3912`
3×	`associate-/l*_binary64_3786`
2×	`div-inv_binary64_3838` `pow-flip_binary64_3915` `add-log-exp_binary64_3880`
1×	`frac-2neg_binary64_3852` `-commutative_binary64_3772` `inv-pow_binary64_3926` `associate-l_binary64_3782` `clear-num_binary64_3840` `un-div-inv_binary64_3839` `associate-r/_binary64_3783` `associate-/r*_binary64_3785`

Counts

2 → 68

Calls

2 calls:

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

series87.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
18.0ms	(/.f64 1 (*.f64 b1 b2))

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5116	723

prune51.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

Compiler

Compiled 825 to 270 computations (67.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 1 b1) b2)
9.8b	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac_binary64_3847`
79×	`add-sqr-sqrt_binary64_3863` `*-un-lft-identity_binary64_3841` `add-cube-cbrt_binary64_3876`
46×	`add-exp-log_binary64_3879`
43×	`associate-r_binary64_3781`
28×	`add-cbrt-cube_binary64_3877`
18×	`div-exp_binary64_3892`
15×	`prod-exp_binary64_3890`
13×	`associate-/l*_binary64_3786`
9×	`div-inv_binary64_3838` `cbrt-unprod_binary64_3874` `cbrt-undiv_binary64_3875`
7×	`pow1_binary64_3902`
3×	`pow-prod-down_binary64_3912` `rec-exp_binary64_3891` `1-exp_binary64_3885` `associate-/r*_binary64_3785`
2×	`add-log-exp_binary64_3880`
1×	`frac-2neg_binary64_3852` `-commutative_binary64_3772` `associate-l_binary64_3782` `clear-num_binary64_3840` `associate-/l/_binary64_3788` `associate-r/_binary64_3783`

Counts

2 → 143

Calls

2 calls:

17.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
7.0ms	(/.f64 (/.f64 1 b1) b2)

series81.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
22.0ms	(/.f64 (/.f64 1 b1) b2)

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5409	2220

prune117.0ms (4.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	148	7	155

Merged error: 0.0b

Counts

155 → 7

Compiler

Compiled 2344 to 1011 computations (56.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b	(/.f64 a2 (*.f64 b1 b2))
6.6b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_3879` `add-cbrt-cube_binary64_3877`
9×	`add-sqr-sqrt_binary64_3863`
7×	`associate-r_binary64_3781` `*-un-lft-identity_binary64_3841` `add-cube-cbrt_binary64_3876`
6×	`times-frac_binary64_3847`
5×	`prod-exp_binary64_3890` `cbrt-unprod_binary64_3874`
4×	`pow1_binary64_3902` `cbrt-undiv_binary64_3875` `div-exp_binary64_3892`
3×	`associate-l_binary64_3782` `associate-/l*_binary64_3786`
2×	`div-inv_binary64_3838` `add-log-exp_binary64_3880`
1×	`unswap-sqr_binary64_3809` `pow-prod-down_binary64_3912` `frac-2neg_binary64_3852` `-commutative_binary64_3772` `clear-num_binary64_3840` `associate-r/_binary64_3783` `associate-/r*_binary64_3785`

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
5.0ms	(/.f64 a2 (*.f64 b1 b2))

series97.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
36.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify100.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4975	570
1	4975	570

prune31.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	54	7	61

Merged error: 0b

Counts

61 → 7

Compiler

Compiled 572 to 132 computations (76.9% saved)

regimes286.0ms (10.4%)

Compiler: Compiled 433 to 473 computations (-9.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	78
1	36	78

end0.0ms (0%)

sample694.0ms (25.2%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
55.0ms	1945×	body	128	invalid

Compiler

Compiled 119 to 97 computations (18.5% saved)

Details

analyze601.0ms (21.8%)

sample19.0ms (0.7%)

simplify167.0ms (6.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series61.0ms (2.2%)

simplify79.0ms (2.8%)

prune22.0ms (0.8%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series87.0ms (3.1%)

simplify71.0ms (2.6%)

prune51.0ms (1.8%)

localize7.0ms (0.2%)

rewrite39.0ms (1.4%)

series81.0ms (2.9%)

simplify78.0ms (2.8%)

prune117.0ms (4.3%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series97.0ms (3.5%)

simplify100.0ms (3.6%)

prune31.0ms (1.1%)

regimes286.0ms (10.4%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample694.0ms (25.2%)

Profiling