Details

analyze547.0ms (16.6%)

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 (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	54×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify98.0ms (3%)

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: 12.6b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.3b

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
1×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `div-inv_binary64_2803` `associate-/r_binary64_2750` `-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series35.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5076	280

prune26.0ms (0.8%)

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: 0.1b

Counts

25 → 8

Compiler

Compiled 317 to 110 computations (65.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
6.1b	(*.f64 a2 (/.f64 a1 b1))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2828`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
13×	`times-frac_binary64_2812` `associate-r_binary64_2746`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
5×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
4×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/r*_binary64_2750`
2×	`div-inv_binary64_2803` `add-log-exp_binary64_2845` `associate-*r/_binary64_2748` `unswap-sqr_binary64_2774`
1×	`associate-/l/_binary64_2753` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-/l_binary64_2751` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

2 → 56

Calls

2 calls:

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

series52.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
21.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune52.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	5	6
Picked	1	0	1
Done	1	0	1
Total	60	10	70

Merged error: 0.0b

Counts

70 → 10

Compiler

Compiled 808 to 256 computations (68.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
6.1b	(*.f64 a2 (/.f64 a1 b1))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64_2844`
28×	`add-cbrt-cube_binary64_2842`
26×	`associate-r_binary64_2746`
22×	`add-sqr-sqrt_binary64_2828` `prod-exp_binary64_2855`
19×	`times-frac_binary64_2812`
17×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
12×	`cbrt-unprod_binary64_2839`
11×	`div-exp_binary64_2857`
9×	`pow1_binary64_2867`
6×	`cbrt-undiv_binary64_2840`
4×	`associate-l_binary64_2747` `associate-*r/_binary64_2748` `pow-prod-down_binary64_2877`
3×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
2×	`div-inv_binary64_2803` `*-commutative_binary64_2737` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
1×	`frac-times_binary64_2816` `un-div-inv_binary64_2804` `associate-*l/_binary64_2749`

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
7.0ms	(*.f64 a2 (/.f64 a1 b1))

series51.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
20.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4962	938
1	4962	938

prune55.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1103 to 403 computations (63.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b	(/.f64 b2 (/.f64 a1 b1))
5.8b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

rewrite53.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_2812`
229×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
57×	`associate-/r*_binary64_2750`
22×	`div-inv_binary64_2803`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
6×	`associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
2×	`add-log-exp_binary64_2845` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

2 → 266

Calls

2 calls:

12.0ms	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
6.0ms	(/.f64 b2 (/.f64 a1 b1))

series55.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

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

simplify128.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4989	6175
1	4989	6175

prune173.0ms (5.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	275	7	282

Merged error: 0b

Counts

282 → 7

Compiler

Compiled 4712 to 757 computations (83.9% saved)

regimes633.0ms (19.2%)

Compiler: Compiled 3538 to 2596 computations (26.6% saved)

bsearch2.0ms (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	51	128
1	51	128

end0.0ms (0%)

sample1.0s (30.8%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
53.0ms	1851×	body	128	invalid

Compiler

Compiled 563 to 389 computations (30.9% saved)

Details

analyze547.0ms (16.6%)

sample18.0ms (0.5%)

simplify98.0ms (3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite8.0ms (0.2%)

series35.0ms (1.1%)

simplify81.0ms (2.4%)

prune26.0ms (0.8%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series52.0ms (1.6%)

simplify78.0ms (2.4%)

prune52.0ms (1.6%)

localize6.0ms (0.2%)

rewrite24.0ms (0.7%)

series51.0ms (1.5%)

simplify68.0ms (2.1%)

prune55.0ms (1.7%)

localize6.0ms (0.2%)

rewrite53.0ms (1.6%)

series55.0ms (1.7%)

simplify128.0ms (3.9%)

prune173.0ms (5.2%)

regimes633.0ms (19.2%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (30.8%)

Profiling