Details

analyze1.1s (10.6%)

Algorithm

1×

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)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
11.0ms	154×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

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

Merged error: 9.0b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
5.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
5.9b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
9.2b	(.f64 r (.f64 w w))

rewrite84.0ms (0.8%)

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:

23.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
20.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
9.0ms	(.f64 r (.f64 w w))

series201.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
58.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
41.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
33.0ms	(.f64 r (.f64 w w))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5250	4089

prune340.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	181	8	189
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	183	8	191

Merged error: 3.4b

Counts

191 → 8

Compiler

Compiled 6300 to 3644 computations (42.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 2 (*.f64 r r))
1.0b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
5.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
5.9b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))

rewrite73.0ms (0.7%)

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:

26.0ms	(.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))
5.0ms	(/.f64 2 (*.f64 r r))

series179.0ms (1.7%)

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))))
50.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
44.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
20.0ms	(/.f64 2 (*.f64 r r))

simplify124.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4950	4154
1	4950	4154

prune354.0ms (3.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	180	11	191
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	186	13	199

Merged error: 0.0b

Counts

199 → 13

Compiler

Compiled 6476 to 3837 computations (40.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
0.9b	(/.f64 2 (*.f64 r r))
2.6b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
5.2b	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))

rewrite94.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

205×	`times-frac_binary64`
170×	`add-sqr-sqrt_binary64`
166×	`*-un-lft-identity_binary64`
112×	`add-cube-cbrt_binary64`
104×	`cbrt-prod_binary64`
34×	`add-exp-log_binary64`
32×	`associate-/r*_binary64` `difference-of-squares_binary64`
27×	`add-cbrt-cube_binary64`
24×	`cbrt-div_binary64`
22×	`associate-l_binary64`
18×	`distribute-lft-out--_binary64`
13×	`pow1_binary64`
12×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
11×	`swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
10×	`frac-times_binary64`
9×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
7×	`div-inv_binary64`
6×	`associate-r/_binary64` `pow1/3_binary64` `associate-/l_binary64`
5×	`unswap-sqr_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`flip3-+_binary64` `pow-prod-up_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 265

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
14.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(/.f64 2 (*.f64 r r))

series330.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
91.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
25.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
17.0ms	(/.f64 2 (*.f64 r r))

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4925	6518
1	4925	6518

prune781.0ms (7.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	278	12	290

Merged error: 0.0b

Counts

290 → 12

Compiler

Compiled 12786 to 8440 computations (34% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
0.3b	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
2.6b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
5.2b	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))

rewrite175.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

376×	`times-frac_binary64`
275×	`add-sqr-sqrt_binary64`
271×	`*-un-lft-identity_binary64`
190×	`add-cube-cbrt_binary64`
158×	`cbrt-prod_binary64`
122×	`add-exp-log_binary64`
110×	`associate-r_binary64`
97×	`add-cbrt-cube_binary64`
55×	`cbrt-unprod_binary64` `prod-exp_binary64`
50×	`difference-of-squares_binary64`
37×	`cbrt-undiv_binary64` `div-exp_binary64`
31×	`associate-/r*_binary64`
27×	`distribute-lft-out--_binary64`
24×	`cbrt-div_binary64`
23×	`associate-l_binary64`
19×	`frac-times_binary64`
18×	`pow1_binary64`
12×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
11×	`swap-sqr_binary64` `associate-*r/_binary64`
10×	`associate-/r/_binary64` `div-inv_binary64`
6×	`pow-prod-down_binary64` `flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/l_binary64` `-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow2_binary64`

Counts

4 → 400

Calls

4 calls:

53.0ms	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
21.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
14.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))

series399.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
93.0ms	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
85.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
26.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))

simplify156.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

412 → 412

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4987	13506
1	4987	13506

prune1.5s (14.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	412	0	412
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	412	12	424

Merged error: 0.0b

Counts

424 → 12

Compiler

Compiled 18698 to 12480 computations (33.3% saved)

regimes1.0s (9.7%)

Compiler: Compiled 16030 to 12327 computations (23.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	55
1	130	55

end0.0ms (0%)

sample3.0s (28.7%)

Algorithm

1×

intervals

Results

551.0ms	8000×	body	128	valid
325.0ms	4762×	body	128	invalid

Compiler

Compiled 2549 to 1967 computations (22.8% saved)

Details

analyze1.1s (10.6%)

sample49.0ms (0.5%)

simplify140.0ms (1.3%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

rewrite84.0ms (0.8%)

series201.0ms (1.9%)

simplify78.0ms (0.8%)

prune340.0ms (3.3%)

localize16.0ms (0.2%)

rewrite73.0ms (0.7%)

series179.0ms (1.7%)

simplify124.0ms (1.2%)

prune354.0ms (3.4%)

localize19.0ms (0.2%)

rewrite94.0ms (0.9%)

series330.0ms (3.2%)

simplify135.0ms (1.3%)

prune781.0ms (7.5%)

localize23.0ms (0.2%)

rewrite175.0ms (1.7%)

series399.0ms (3.8%)

simplify156.0ms (1.5%)

prune1.5s (14.7%)

regimes1.0s (9.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.0s (28.7%)

Profiling