Details

analyze574.0ms (18.2%)

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)

sample18.0ms (0.6%)

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)

simplify160.0ms (5.1%)

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: 9.7b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
4×	`cbrt-unprod_binary64_2803` `cbrt-undiv_binary64_2804` `div-exp_binary64_2821` `prod-exp_binary64_2819`
1×	`frac-2neg_binary64_2784` `times-frac_binary64_2779` `pow1_binary64_2831` `div-inv_binary64_2770` `associate-/r_binary64_2719` `add-cube-cbrt_binary64_2805` `add-log-exp_binary64_2809` `add-sqr-sqrt_binary64_2794` `clear-num_binary64_2772` `-un-lft-identity_binary64_2773` `associate-/l*_binary64_2720`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series59.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify68.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4996	280
1	4996	280

prune27.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Merged error: 0.0b

Counts

25 → 8

Compiler

Compiled 317 to 110 computations (65.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (*.f64 b1 b2))
9.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_2808`
30×	`prod-exp_binary64_2819`
28×	`add-cbrt-cube_binary64_2806`
12×	`cbrt-unprod_binary64_2803` `div-exp_binary64_2821`
10×	`pow1_binary64_2831`
7×	`associate-r_binary64_2715`
6×	`cbrt-undiv_binary64_2804` `times-frac_binary64_2779` `1-exp_binary64_2814` `add-cube-cbrt_binary64_2805` `add-sqr-sqrt_binary64_2794` `*-un-lft-identity_binary64_2773` `rec-exp_binary64_2820`
4×	`pow-prod-down_binary64_2841`
3×	`associate-/l*_binary64_2720`
2×	`pow-flip_binary64_2844` `div-inv_binary64_2770` `add-log-exp_binary64_2809`
1×	`frac-2neg_binary64_2784` `associate-l_binary64_2716` `associate-/r_binary64_2719` `-commutative_binary64_2706` `clear-num_binary64_2772` `associate-*r/_binary64_2717` `un-div-inv_binary64_2771` `inv-pow_binary64_2855`

Counts

2 → 68

Calls

2 calls:

10.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
6.0ms	(/.f64 1 (*.f64 b1 b2))

series77.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
19.0ms	(/.f64 1 (*.f64 b1 b2))

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4967	723
1	4967	723

prune46.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

Compiler

Compiled 851 to 280 computations (67.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
5.3b	(/.f64 a2 (*.f64 b1 b2))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
9×	`add-sqr-sqrt_binary64_2794`
7×	`add-cube-cbrt_binary64_2805` `associate-r_binary64_2715` `*-un-lft-identity_binary64_2773`
6×	`times-frac_binary64_2779`
5×	`cbrt-unprod_binary64_2803` `prod-exp_binary64_2819`
4×	`cbrt-undiv_binary64_2804` `pow1_binary64_2831` `div-exp_binary64_2821`
3×	`associate-l_binary64_2716` `associate-/l*_binary64_2720`
2×	`div-inv_binary64_2770` `add-log-exp_binary64_2809`
1×	`frac-2neg_binary64_2784` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `associate-/r_binary64_2719` `-commutative_binary64_2706` `clear-num_binary64_2772` `associate-*r/_binary64_2717`

Counts

2 → 48

Calls

2 calls:

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

series107.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
41.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4971	570
1	4971	570

prune38.0ms (1.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	51	11	62

Merged error: 0.0b

Counts

62 → 11

Compiler

Compiled 669 to 201 computations (70% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.3b	(/.f64 a2 (*.f64 b1 b2))
14.4b	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
14.4b	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
14.4b	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_2801`
12×	`times-frac_binary64_2779` `add-cube-cbrt_binary64_2805` `add-sqr-sqrt_binary64_2794` `*-un-lft-identity_binary64_2773`
9×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
4×	`pow1_binary64_2831` `div-inv_binary64_2770` `add-log-exp_binary64_2809`
3×	`pow1/3_binary64_2852` `associate-/l*_binary64_2720` `cbrt-div_binary64_2802`
2×	`cbrt-undiv_binary64_2804` `div-exp_binary64_2821`
1×	`cbrt-unprod_binary64_2803` `frac-2neg_binary64_2784` `associate-/r*_binary64_2719` `clear-num_binary64_2772` `prod-exp_binary64_2819`

Counts

4 → 69

Calls

4 calls:

4.0ms	(/.f64 a2 (*.f64 b1 b2))
4.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
4.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
4.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))

series479.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
144.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
144.0ms	(cbrt.f64 (/.f64 a2 (*.f64 b1 b2)))
34.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5230	951

prune62.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

Compiler

Compiled 2095 to 307 computations (85.3% saved)

regimes364.0ms (11.5%)

Compiler: Compiled 1065 to 849 computations (20.3% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	116
1	38	116

end0.0ms (0%)

sample716.0ms (22.7%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
51.0ms	1806×	body	128	invalid

Compiler

Compiled 214 to 142 computations (33.6% saved)

Details

analyze574.0ms (18.2%)

sample18.0ms (0.6%)

simplify160.0ms (5.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.2%)

series59.0ms (1.9%)

simplify68.0ms (2.2%)

prune27.0ms (0.9%)

localize7.0ms (0.2%)

rewrite21.0ms (0.7%)

series77.0ms (2.4%)

simplify80.0ms (2.5%)

prune46.0ms (1.5%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series107.0ms (3.4%)

simplify88.0ms (2.8%)

prune38.0ms (1.2%)

localize10.0ms (0.3%)

rewrite22.0ms (0.7%)

series479.0ms (15.2%)

simplify88.0ms (2.8%)

prune62.0ms (2%)

regimes364.0ms (11.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample716.0ms (22.7%)

Profiling