Details

analyze1.1s (6.6%)

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)

sample53.0ms (0.3%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
12.0ms	166×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune10.0ms (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 (0.1%)

Local error

Found 8 expressions with local error:

3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
2.1b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
0.4b	(/.f64 2 (*.f64 r r))
0.0b	(-.f64 (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (*.f64 w w))))))
2.1b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
7.5b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
11.0b	(.f64 r (.f64 w w))

rewrite80.0ms (0.5%)

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

8 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
15.0ms	(.f64 r (.f64 w w))
11.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
0.0ms	(-.f64 (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (*.f64 w w))))))

series712.0ms (4.4%)

Counts

4 → 44

Calls

4 calls:

263.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
190.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
182.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
77.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 2151 to 1828 computations (15% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4943	4489
1	4943	4489

prune486.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	212	9	221
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	214	9	223

Error

4.7b

Counts

223 → 9

Compiler

Compiled 7047 to 4096 computations (41.9% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.1b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
0.4b	(/.f64 2 (*.f64 r r))
0.1b	(.f64 (.f64 r w) w)
0.0b	(-.f64 (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (*.f64 r w) w)))))
0.4b	(/.f64 2 (*.f64 r r))
2.1b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
7.5b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))

rewrite65.0ms (0.4%)

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

8 calls:

21.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
11.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
9.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
4.0ms	(/.f64 2 (*.f64 r r))
0.0ms	(-.f64 (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (*.f64 r w) w)))))

series685.0ms (4.2%)

Counts

4 → 41

Calls

4 calls:

263.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
202.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
193.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
26.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2001 to 1702 computations (14.9% saved)

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4939	4617
1	4939	4617

prune447.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	212	8	220
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	219	10	229

Error

0.0b

Counts

229 → 10

Compiler

Compiled 7073 to 4117 computations (41.8% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 2 (*.f64 r r))
0.3b	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
0.0b	(-.f64 (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))))
0.0b	(/.f64 (-.f64 1 v) w)
0.3b	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
0.4b	(/.f64 2 (*.f64 r r))
3.1b	(/.f64 r (/.f64 (-.f64 1 v) w))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))

rewrite92.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

261×	`times-frac_binary64`
186×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
123×	`add-cube-cbrt_binary64`
72×	`associate-r_binary64`
64×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
42×	`difference-of-squares_binary64`
26×	`cbrt-unprod_binary64` `prod-exp_binary64`
23×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
18×	`pow1_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`div-inv_binary64`
9×	`pow-prod-down_binary64`
6×	`associate-/l*_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 256

Calls

8 calls:

21.0ms	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
18.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))
9.0ms	(/.f64 r (/.f64 (-.f64 1 v) w))
4.0ms	(/.f64 2 (*.f64 r r))
0.0ms	(/.f64 (-.f64 1 v) w)

series640.0ms (3.9%)

Counts

4 → 44

Calls

4 calls:

267.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))
189.0ms	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
157.0ms	(/.f64 r (/.f64 (-.f64 1 v) w))
26.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2158 to 1772 computations (17.9% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4979	6111
1	4979	6111

prune539.0ms (3.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	300	10	310

Error

0.0b

Counts

310 → 10

Compiler

Compiled 10087 to 5764 computations (42.9% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
0.2b	(/.f64 (/.f64 2 r) r)
0.0b	(-.f64 (+.f64 (/.f64 (/.f64 2 r) r) -3/2) (.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))))
0.0b	(/.f64 (-.f64 1 v) w)
0.2b	(/.f64 (/.f64 2 r) r)
0.3b	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
3.1b	(/.f64 r (/.f64 (-.f64 1 v) w))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

333×	`times-frac_binary64`
226×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
163×	`add-cube-cbrt_binary64`
72×	`associate-r_binary64`
64×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
42×	`difference-of-squares_binary64`
25×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
21×	`distribute-lft-out--_binary64`
18×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
16×	`associate-/l*_binary64`
14×	`div-inv_binary64`
9×	`pow-prod-down_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 305

Calls

8 calls:

21.0ms	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
19.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))
9.0ms	(/.f64 (/.f64 2 r) r)
9.0ms	(/.f64 r (/.f64 (-.f64 1 v) w))
0.0ms	(/.f64 (-.f64 1 v) w)

series631.0ms (3.9%)

Counts

4 → 44

Calls

4 calls:

270.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))
184.0ms	(.f64 (.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
151.0ms	(/.f64 r (/.f64 (-.f64 1 v) w))
26.0ms	(/.f64 (/.f64 2 r) r)

Compiler

Compiled 2158 to 1772 computations (17.9% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

349 → 349

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4994	7066
1	4994	7066

prune685.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	348	1	349
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	348	11	359

Error

Counts

359 → 11

Compiler

Compiled 11472 to 6821 computations (40.5% saved)

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5092	4048

regimes813.0ms (5%)

Accuracy

Total 0.6b remaining (96.5%)

Threshold costs 0.6b (96.5%)

Compiler

Compiled 12139 to 9463 computations (22% 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%)

sample8.4s (51.6%)

Algorithm

1×

intervals

Results

555.0ms	8000×	body	128	valid
338.0ms	4859×	body	128	invalid

Compiler

Compiled 8115 to 6325 computations (22.1% saved)

Pareto

0.3241212668923715

Details

analyze1.1s (6.6%)

sample53.0ms (0.3%)

simplify141.0ms (0.9%)

prune10.0ms (0.1%)

localize18.0ms (0.1%)

rewrite80.0ms (0.5%)

series712.0ms (4.4%)

simplify113.0ms (0.7%)

prune486.0ms (3%)

localize18.0ms (0.1%)

rewrite65.0ms (0.4%)

series685.0ms (4.2%)

simplify129.0ms (0.8%)

prune447.0ms (2.7%)

localize19.0ms (0.1%)

rewrite92.0ms (0.6%)

series640.0ms (3.9%)

simplify96.0ms (0.6%)

prune539.0ms (3.3%)

localize16.0ms (0.1%)

rewrite98.0ms (0.6%)

series631.0ms (3.9%)

simplify110.0ms (0.7%)

prune685.0ms (4.2%)

simplify127.0ms (0.8%)

regimes813.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.4s (51.6%)

Profiling