Details

analyze562.0ms (19.3%)

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 (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify100.0ms (3.5%)

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

Error

9.8b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.5b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
4×	`div-exp_binary64_6608` `prod-exp_binary64_6606` `cbrt-undiv_binary64_6591` `cbrt-unprod_binary64_6590`
1×	`add-cube-cbrt_binary64_6592` `associate-/r_binary64_6501` `pow1_binary64_6618` `div-inv_binary64_6554` `clear-num_binary64_6556` `add-sqr-sqrt_binary64_6579` `add-log-exp_binary64_6596` `frac-2neg_binary64_6568` `times-frac_binary64_6563` `-un-lft-identity_binary64_6557` `associate-/l*_binary64_6502`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series33.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5076	280

prune25.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Error

0.0b

Counts

25 → 5

Compiler

Compiled 273 to 90 computations (67% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.9b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
4.9b	(*.f64 a2 (/.f64 a1 b1))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_6579`
16×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
13×	`associate-r_binary64_6497` `times-frac_binary64_6563`
12×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
5×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
4×	`pow1_binary64_6618` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
3×	`associate-/r_binary64_6501` `associate-l*_binary64_6498`
2×	`associate-*r/_binary64_6499` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `add-log-exp_binary64_6596`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l/_binary64_6504` `associate-/l_binary64_6502`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series53.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
21.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify85.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune44.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Error

0.0b

Counts

67 → 8

Compiler

Compiled 748 to 228 computations (69.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.9b	(/.f64 (.f64 (.f64 a2 a1) (/.f64 1 b1)) b2)
5.1b	(.f64 (.f64 a2 a1) (/.f64 1 b1))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-exp-log_binary64_6595`
32×	`add-cbrt-cube_binary64_6593`
24×	`prod-exp_binary64_6606`
17×	`div-exp_binary64_6608`
13×	`associate-r_binary64_6497`
12×	`cbrt-unprod_binary64_6590` `times-frac_binary64_6563`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`cbrt-undiv_binary64_6591`
7×	`pow1_binary64_6618`
4×	`rec-exp_binary64_6607` `1-exp_binary64_6601`
3×	`pow-prod-down_binary64_6628` `associate-/r*_binary64_6501`
2×	`associate-*r/_binary64_6499` `un-div-inv_binary64_6555` `div-inv_binary64_6554` `add-log-exp_binary64_6596` `associate-/l/_binary64_6504`
1×	`-commutative_binary64_6488` `associate-l_binary64_6498` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l_binary64_6502`

Counts

2 → 71

Calls

2 calls:

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

series55.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(/.f64 (.f64 (.f64 a2 a1) (/.f64 1 b1)) b2)
22.0ms	(.f64 (.f64 a2 a1) (/.f64 1 b1))

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5027	809

prune44.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Error

0.0b

Counts

85 → 8

Compiler

Compiled 882 to 287 computations (67.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
5.4b	(/.f64 (/.f64 a1 b1) b2)

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`times-frac_binary64_6563`
89×	`add-sqr-sqrt_binary64_6579`
80×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
43×	`associate-r_binary64_6497`
16×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
13×	`associate-/l*_binary64_6502`
9×	`div-inv_binary64_6554`
6×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
4×	`pow1_binary64_6618`
3×	`associate-/r_binary64_6501` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `associate-l*_binary64_6498` `cbrt-unprod_binary64_6590`
2×	`add-log-exp_binary64_6596`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `associate-r/_binary64_6499` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l/_binary64_6504`

Counts

2 → 135

Calls

2 calls:

15.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
6.0ms	(/.f64 (/.f64 a1 b1) b2)

series50.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
20.0ms	(/.f64 (/.f64 a1 b1) b2)

simplify100.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4992	2193
1	4992	2193

prune85.0ms (2.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	9	149

Error

0.0b

Counts

149 → 9

Compiler

Compiled 2102 to 423 computations (79.9% saved)

regimes511.0ms (17.6%)

Accuracy

Total 3.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 2067 to 1685 computations (18.5% saved)

bsearch1.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	122
1	36	122

end0.0ms (0%)

sample865.0ms (29.8%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
54.0ms	1894×	body	128	invalid

Compiler

Compiled 348 to 250 computations (28.2% saved)

Details

analyze562.0ms (19.3%)

sample19.0ms (0.6%)

simplify100.0ms (3.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.2%)

series33.0ms (1.1%)

simplify81.0ms (2.8%)

prune25.0ms (0.9%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series53.0ms (1.8%)

simplify85.0ms (2.9%)

prune44.0ms (1.5%)

localize7.0ms (0.2%)

rewrite23.0ms (0.8%)

series55.0ms (1.9%)

simplify84.0ms (2.9%)

prune44.0ms (1.5%)

localize6.0ms (0.2%)

rewrite33.0ms (1.2%)

series50.0ms (1.7%)

simplify100.0ms (3.4%)

prune85.0ms (2.9%)

regimes511.0ms (17.6%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample865.0ms (29.8%)

Profiling