Details

analyze573.0ms (21.1%)

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

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify166.0ms (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_2471` `add-cbrt-cube_binary64_2469`
4×	`prod-exp_binary64_2482` `cbrt-undiv_binary64_2467` `div-exp_binary64_2484` `cbrt-unprod_binary64_2466`
1×	`add-sqr-sqrt_binary64_2457` `div-inv_binary64_2433` `associate-/l_binary64_2383` `add-log-exp_binary64_2472` `add-cube-cbrt_binary64_2468` `associate-/r_binary64_2382` `*-un-lft-identity_binary64_2436` `clear-num_binary64_2435` `pow1_binary64_2494` `frac-2neg_binary64_2447` `times-frac_binary64_2442`

Counts

1 → 21

Calls

1 calls:

7.0ms

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

series65.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify77.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4996	280
1	4996	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 (0.2%)

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_2471`
30×	`prod-exp_binary64_2482`
28×	`add-cbrt-cube_binary64_2469`
12×	`div-exp_binary64_2484` `cbrt-unprod_binary64_2466`
10×	`pow1_binary64_2494`
7×	`associate-r_binary64_2378`
6×	`cbrt-undiv_binary64_2467` `add-sqr-sqrt_binary64_2457` `rec-exp_binary64_2483` `1-exp_binary64_2477` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436` `times-frac_binary64_2442`
4×	`pow-prod-down_binary64_2504`
3×	`associate-/l*_binary64_2383`
2×	`div-inv_binary64_2433` `add-log-exp_binary64_2472` `pow-flip_binary64_2507`
1×	`un-div-inv_binary64_2434` `-commutative_binary64_2369` `inv-pow_binary64_2518` `associate-r/_binary64_2380` `associate-/r_binary64_2382` `clear-num_binary64_2435` `frac-2neg_binary64_2447` `associate-l*_binary64_2379`

Counts

2 → 68

Calls

2 calls:

10.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
5.0ms	(/.f64 1 (*.f64 b1 b2))

series85.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
19.0ms	(/.f64 1 (*.f64 b1 b2))

simplify81.0ms (3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4967	723
1	4967	723

prune51.0ms (1.9%)

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_2442`
79×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
46×	`add-exp-log_binary64_2471`
43×	`associate-r_binary64_2378`
28×	`add-cbrt-cube_binary64_2469`
18×	`div-exp_binary64_2484`
15×	`prod-exp_binary64_2482`
13×	`associate-/l*_binary64_2383`
9×	`cbrt-undiv_binary64_2467` `div-inv_binary64_2433` `cbrt-unprod_binary64_2466`
7×	`pow1_binary64_2494`
3×	`rec-exp_binary64_2483` `pow-prod-down_binary64_2504` `1-exp_binary64_2477` `associate-/r*_binary64_2382`
2×	`add-log-exp_binary64_2472`
1×	`-commutative_binary64_2369` `associate-r/_binary64_2380` `clear-num_binary64_2435` `frac-2neg_binary64_2447` `associate-/l/_binary64_2385` `associate-l_binary64_2379`

Counts

2 → 143

Calls

2 calls:

16.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
7.0ms	(/.f64 (/.f64 1 b1) b2)

series77.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(.f64 (.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
18.0ms	(/.f64 (/.f64 1 b1) b2)

simplify73.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5402	2220

prune118.0ms (4.4%)

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)

localize5.0ms (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)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
9×	`add-sqr-sqrt_binary64_2457`
7×	`add-cube-cbrt_binary64_2468` `-un-lft-identity_binary64_2436` `associate-r*_binary64_2378`
6×	`times-frac_binary64_2442`
5×	`prod-exp_binary64_2482` `cbrt-unprod_binary64_2466`
4×	`cbrt-undiv_binary64_2467` `div-exp_binary64_2484` `pow1_binary64_2494`
3×	`associate-/l_binary64_2383` `associate-l*_binary64_2379`
2×	`div-inv_binary64_2433` `add-log-exp_binary64_2472`
1×	`-commutative_binary64_2369` `pow-prod-down_binary64_2504` `associate-r/_binary64_2380` `associate-/r*_binary64_2382` `unswap-sqr_binary64_2404` `clear-num_binary64_2435` `frac-2neg_binary64_2447`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
4.0ms	(/.f64 a2 (*.f64 b1 b2))

series94.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
34.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify91.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4971	570
1	4971	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)

regimes271.0ms (10%)

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%)

sample707.0ms (26%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
57.0ms	1945×	body	128	invalid

Compiler

Compiled 119 to 97 computations (18.5% saved)

Details

analyze573.0ms (21.1%)

sample20.0ms (0.7%)

simplify166.0ms (6.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series65.0ms (2.4%)

simplify77.0ms (2.8%)

prune22.0ms (0.8%)

localize7.0ms (0.2%)

rewrite21.0ms (0.8%)

series85.0ms (3.1%)

simplify81.0ms (3%)

prune51.0ms (1.9%)

localize7.0ms (0.2%)

rewrite39.0ms (1.4%)

series77.0ms (2.8%)

simplify73.0ms (2.7%)

prune118.0ms (4.4%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series94.0ms (3.5%)

simplify91.0ms (3.4%)

prune31.0ms (1.1%)

regimes271.0ms (10%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample707.0ms (26%)

Profiling