Details

analyze1.2s (6.3%)

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)

sample53.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
15.0ms	187×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune8.0ms (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

Error

8.1b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.6b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
5.7b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
8.5b	(.f64 r (.f64 w w))

rewrite429.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

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×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
11×	`pow1_binary64` `associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64` `associate-/l*_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-l/_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

29.0ms	(.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))

Compiler

Compiled 6257 to 3523 computations (43.7% saved)

series858.0ms (4.4%)

Error

8.1b

Counts

4 → 48

Calls

4 calls:

286.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
213.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
207.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
78.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3621 to 2882 computations (20.4% saved)

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4951	4903
1	4951	4903

prune417.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	216	9	225
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	218	9	227

Error

3.0b

Counts

227 → 9

Compiler

Compiled 7315 to 4031 computations (44.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2 (*.f64 r r))
0.5b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
3.6b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
5.7b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite438.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`difference-of-squares_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 179

Calls

4 calls:

30.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
18.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
8.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series806.0ms (4.2%)

Error

3.0b

Counts

4 → 45

Calls

4 calls:

298.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
210.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
206.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
28.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3396 to 2704 computations (20.4% saved)

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4971	4980
1	4971	4980

prune402.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	215	9	224
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	221	12	233

Error

0.0b

Counts

233 → 12

Compiler

Compiled 7406 to 4171 computations (43.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 v))
0.3b	(cbrt.f64 (-.f64 1 v))
3.6b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
3.7b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))

rewrite792.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

201×	`times-frac_binary64`
145×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
103×	`add-cube-cbrt_binary64`
95×	`add-exp-log_binary64`
84×	`cbrt-prod_binary64`
77×	`add-cbrt-cube_binary64`
43×	`prod-exp_binary64` `cbrt-unprod_binary64`
31×	`associate-/r*_binary64`
30×	`div-exp_binary64` `cbrt-undiv_binary64`
28×	`difference-of-squares_binary64`
14×	`distribute-lft-out--_binary64`
9×	`pow1_binary64` `frac-times_binary64`
6×	`associate-*r/_binary64`
5×	`div-inv_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `cbrt-div_binary64`
3×	`associate-/l_binary64` `pow-prod-down_binary64` `associate-l*_binary64`
2×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 231

Calls

4 calls:

39.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(cbrt.f64 (-.f64 1 v))
4.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 11572 to 7556 computations (34.7% saved)

series865.0ms (4.5%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

389.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
308.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
49.0ms	(cbrt.f64 (-.f64 1 v))
49.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 3805 to 2937 computations (22.8% saved)

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4973	6771
1	4973	6771

prune743.0ms (3.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	272	12	284

Error

0.0b

Counts

284 → 12

Compiler

Compiled 11710 to 7356 computations (37.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 r)
1.3b	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 w r)))
2.4b	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.6b	(.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 w r))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))

rewrite1.7s (8.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

382×	`times-frac_binary64`
277×	`add-exp-log_binary64`
247×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
225×	`cbrt-prod_binary64`
184×	`add-cube-cbrt_binary64`
169×	`add-cbrt-cube_binary64`
119×	`prod-exp_binary64` `cbrt-unprod_binary64`
108×	`div-exp_binary64` `cbrt-undiv_binary64`
42×	`difference-of-squares_binary64`
36×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
11×	`div-inv_binary64`
9×	`pow1_binary64` `frac-times_binary64`
7×	`associate-/l*_binary64`
6×	`associate-*r/_binary64`
5×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64`
1×	`associate-r_binary64` `*-commutative_binary64` `pow1/3_binary64`

Counts

4 → 384

Calls

4 calls:

52.0ms	(.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 w r))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
18.0ms	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 w r)))
15.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
1.0ms	(cbrt.f64 r)

Compiler

Compiled 22906 to 13148 computations (42.6% saved)

series1.5s (7.8%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

587.0ms	(/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))) (*.f64 w r)))
420.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
337.0ms	(.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 w r))) (/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
86.0ms	(cbrt.f64 r)

Compiler

Compiled 4723 to 3636 computations (23% saved)

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

426 → 426

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	13390

prune1.4s (7.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	426	12	438

Error

0.0b

Counts

438 → 12

Compiler

Compiled 20701 to 12296 computations (40.6% saved)

regimes2.1s (11%)

Accuracy

Total 0.7b remaining (97.4%)

Threshold costs 0.7b (97.4%)

Compiler

Compiled 34236 to 26076 computations (23.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	157	58
1	157	58

end0.0ms (0%)

sample4.9s (25.5%)

Algorithm

1×

intervals

Results

530.0ms	8000×	body	128	valid
330.0ms	4971×	body	128	invalid

Compiler

Compiled 5290 to 4039 computations (23.6% saved)

Details

analyze1.2s (6.3%)

sample53.0ms (0.3%)

simplify50.0ms (0.3%)

prune8.0ms (0%)

localize18.0ms (0.1%)

rewrite429.0ms (2.2%)

series858.0ms (4.4%)

simplify113.0ms (0.6%)

prune417.0ms (2.1%)

localize17.0ms (0.1%)

rewrite438.0ms (2.3%)

series806.0ms (4.2%)

simplify118.0ms (0.6%)

prune402.0ms (2.1%)

localize20.0ms (0.1%)

rewrite792.0ms (4.1%)

series865.0ms (4.5%)

simplify124.0ms (0.6%)

prune743.0ms (3.8%)

localize25.0ms (0.1%)

rewrite1.7s (8.9%)

series1.5s (7.8%)

simplify177.0ms (0.9%)

prune1.4s (7.2%)

regimes2.1s (11%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.9s (25.5%)

Profiling