Details

analyze710.0ms (6.6%)

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)

sample19.0ms (0.2%)

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)

simplify164.0ms (1.5%)

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%)

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: 12.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

11.9b

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

rewrite8.0ms (0.1%)

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))

series61.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune24.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

Compiler

Compiled 307 to 100 computations (67.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
11.9b	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_2844`
32×	`add-cbrt-cube_binary64_2842`
26×	`div-exp_binary64_2857`
20×	`times-frac_binary64_2812`
16×	`prod-exp_binary64_2855`
13×	`cbrt-undiv_binary64_2840`
12×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
8×	`cbrt-unprod_binary64_2839`
6×	`div-inv_binary64_2803` `associate-/r*_binary64_2750`
5×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
4×	`associate-/l*_binary64_2751`
3×	`pow1_binary64_2867`
2×	`add-log-exp_binary64_2845` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `inv-pow_binary64_2891` `associate-/r/_binary64_2752`

Counts

2 → 77

Calls

2 calls:

8.0ms	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
7.0ms	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

series136.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
63.0ms	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5072	1155

prune59.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

Compiler

Compiled 1082 to 327 computations (69.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1 (/.f64 b1 (/.f64 a1 (/.f64 b2 a2))))
4.1b	(/.f64 a1 (/.f64 b2 a2))
7.4b	(/.f64 b1 (/.f64 a1 (/.f64 b2 a2)))

rewrite218.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

2202×	`times-frac_binary64_2812`
968×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
194×	`associate-/r*_binary64_2750`
75×	`div-inv_binary64_2803`
51×	`add-exp-log_binary64_2844`
35×	`div-exp_binary64_2857`
31×	`add-cbrt-cube_binary64_2842`
23×	`associate-/r/_binary64_2752`
19×	`cbrt-undiv_binary64_2840`
9×	`associate-/l*_binary64_2751`
4×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `pow1_binary64_2867`
3×	`add-log-exp_binary64_2845` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `inv-pow_binary64_2891`

Counts

3 → 846

Calls

3 calls:

40.0ms	(/.f64 1 (/.f64 b1 (/.f64 a1 (/.f64 b2 a2))))
14.0ms	(/.f64 b1 (/.f64 a1 (/.f64 b2 a2)))
6.0ms	(/.f64 a1 (/.f64 b2 a2))

series188.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(/.f64 1 (/.f64 b1 (/.f64 a1 (/.f64 b2 a2))))
61.0ms	(/.f64 b1 (/.f64 a1 (/.f64 b2 a2)))
48.0ms	(/.f64 a1 (/.f64 b2 a2))

simplify237.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

855 → 855

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5085	24851

prune766.0ms (7.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	851	4	855
Fresh	3	3	6
Picked	0	1	1
Done	1	1	2
Total	855	9	864

Merged error: 0b

Counts

864 → 9

Compiler

Compiled 18947 to 4395 computations (76.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))))
1.7b	(/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
1.9b	(/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2)))
3.8b	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))

rewrite981.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Rules

5182×	`times-frac_binary64_2812`
2568×	`cbrt-prod_binary64_2837`
2472×	`add-sqr-sqrt_binary64_2828`
2295×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
827×	`associate-r_binary64_2746`
337×	`add-exp-log_binary64_2844`
165×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
164×	`associate-/r*_binary64_2750`
132×	`add-cbrt-cube_binary64_2842`
109×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
106×	`div-inv_binary64_2803`
45×	`unswap-sqr_binary64_2774`
18×	`associate-/r/_binary64_2752`
13×	`associate-/l*_binary64_2751`
10×	`associate-l_binary64_2747`
6×	`pow1_binary64_2867`
4×	`add-log-exp_binary64_2845`
3×	`clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`frac-times_binary64_2816` `-commutative_binary64_2737` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `associate-*l/_binary64_2749`

Counts

4 → 2181

Calls

4 calls:

316.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))))
46.0ms	(/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2)))
15.0ms	(/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
10.0ms	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))

series895.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

325.0ms	(/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2)))
235.0ms	(/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
194.0ms	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))
140.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (cbrt.f64 b1) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b2) a2))))

simplify806.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

2193 → 2193

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5947	104130

prune3.0s (27.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2193	0	2193
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	2193	9	2202

Merged error: 0b

Counts

2202 → 9

Compiler

Compiled 102582 to 13535 computations (86.8% saved)

regimes1.1s (9.8%)

Compiler: Compiled 5219 to 4191 computations (19.7% saved)

bsearch2.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	149
1	41	149

end0.0ms (0%)

sample1.3s (11.6%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
57.0ms	1882×	body	128	invalid

Compiler

Compiled 774 to 582 computations (24.8% saved)

Details

analyze710.0ms (6.6%)

sample19.0ms (0.2%)

simplify164.0ms (1.5%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite8.0ms (0.1%)

series61.0ms (0.6%)

simplify75.0ms (0.7%)

prune24.0ms (0.2%)

localize7.0ms (0.1%)

rewrite21.0ms (0.2%)

series136.0ms (1.3%)

simplify67.0ms (0.6%)

prune59.0ms (0.5%)

localize7.0ms (0.1%)

rewrite218.0ms (2%)

series188.0ms (1.7%)

simplify237.0ms (2.2%)

prune766.0ms (7.1%)

localize20.0ms (0.2%)

rewrite981.0ms (9.1%)

series895.0ms (8.3%)

simplify806.0ms (7.5%)

prune3.0s (27.9%)

regimes1.1s (9.8%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (11.6%)

Profiling