Details

analyze1.2s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5367	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 30 to 25 computations (16.7% saved)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
11.0ms	174×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune8.0ms (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

9.1b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
4.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
5.6b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
9.7b	(.f64 r (.f64 w w))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64`
18×	`difference-of-squares_binary64`
17×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
11×	`associate-/r*_binary64` `pow1_binary64`
10×	`div-inv_binary64`
9×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate-*r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
8.0ms	(.f64 r (.f64 w w))

series197.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
50.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
48.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
38.0ms	(.f64 r (.f64 w w))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5250	4089

prune336.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	6	191

Error

3.1b

Counts

191 → 6

Compiler

Compiled 6250 to 3604 computations (42.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (*.f64 r r))
1.4b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
4.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
5.6b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))

rewrite72.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
45×	`add-cube-cbrt_binary64`
35×	`associate-r_binary64`
19×	`cbrt-undiv_binary64` `div-exp_binary64`
18×	`difference-of-squares_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-/r_binary64` `associate-/l_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 179

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
10.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
4.0ms	(/.f64 2 (*.f64 r r))

series187.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
53.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
52.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
17.0ms	(/.f64 2 (*.f64 r r))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4950	4154
1	4950	4154

prune340.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	179	12	191
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	184	13	197

Error

0.0b

Counts

197 → 13

Compiler

Compiled 6496 to 3851 computations (40.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
1.0b	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 r w)))
1.2b	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))

rewrite317.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

763×	`times-frac_binary64`
509×	`add-sqr-sqrt_binary64`
469×	`add-exp-log_binary64`
461×	`*-un-lft-identity_binary64`
433×	`cbrt-prod_binary64`
344×	`add-cube-cbrt_binary64`
274×	`add-cbrt-cube_binary64`
195×	`cbrt-undiv_binary64` `div-exp_binary64`
192×	`associate-r_binary64`
191×	`cbrt-unprod_binary64` `prod-exp_binary64`
78×	`difference-of-squares_binary64`
39×	`distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
20×	`div-inv_binary64`
14×	`unswap-sqr_binary64`
13×	`associate-l_binary64`
11×	`pow1_binary64`
10×	`frac-times_binary64`
7×	`associate-r/_binary64` `associate-/l_binary64`
6×	`associate-*l/_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 666

Calls

4 calls:

88.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
48.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
16.0ms	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 r w)))
14.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))

series591.0ms (5%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 r w)))
162.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
116.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
86.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (.f64 r w))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w)))

simplify297.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

678 → 678

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4981	27155
1	4981	27155

prune3.1s (26.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	678	0	678
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	678	13	691

Error

0.0b

Counts

691 → 13

Compiler

Compiled 35223 to 21688 computations (38.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 r w) w)
0.3b	(/.f64 1 (.f64 (.f64 r w) w))
0.6b	(/.f64 2 (*.f64 r r))
4.5b	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64`
39×	`times-frac_binary64`
37×	`add-cbrt-cube_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`div-exp_binary64`
22×	`prod-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-undiv_binary64`
10×	`cbrt-unprod_binary64`
9×	`associate-/r_binary64` `associate-/l_binary64`
7×	`div-inv_binary64`
6×	`pow-prod-down_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`associate-/r/_binary64` `associate-l_binary64` `inv-pow_binary64` `*-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

9.0ms	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))
7.0ms	(/.f64 2 (*.f64 r r))
6.0ms	(/.f64 1 (.f64 (.f64 r w) w))
5.0ms	(.f64 (.f64 r w) w)

series89.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (.f64 r w) w)
25.0ms	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))
21.0ms	(/.f64 1 (.f64 (.f64 r w) w))
16.0ms	(/.f64 2 (*.f64 r r))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4961	1607
1	4961	1607

prune202.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	141	12	153

Error

0.0b

Counts

153 → 12

Compiler

Compiled 4152 to 2559 computations (38.4% saved)

regimes1.2s (9.7%)

Accuracy

Total 0.3b remaining (93.6%)

Threshold costs 0.3b (93.6%)

Compiler

Compiled 18015 to 13585 computations (24.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	37
1	116	37

end0.0ms (0%)

sample3.1s (26.3%)

Algorithm

1×

intervals

Results

534.0ms	8000×	body	128	valid
334.0ms	4918×	body	128	invalid

Compiler

Compiled 2819 to 2129 computations (24.5% saved)

Details

analyze1.2s (10.3%)

sample45.0ms (0.4%)

simplify57.0ms (0.5%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

rewrite78.0ms (0.7%)

series197.0ms (1.7%)

simplify73.0ms (0.6%)

prune336.0ms (2.8%)

localize17.0ms (0.1%)

rewrite72.0ms (0.6%)

series187.0ms (1.6%)

simplify125.0ms (1.1%)

prune340.0ms (2.9%)

localize24.0ms (0.2%)

rewrite317.0ms (2.7%)

series591.0ms (5%)

simplify297.0ms (2.5%)

prune3.1s (26.4%)

localize17.0ms (0.1%)

rewrite39.0ms (0.3%)

series89.0ms (0.8%)

simplify97.0ms (0.8%)

prune202.0ms (1.7%)

regimes1.2s (9.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (26.3%)

Profiling