Details

analyze2.3s (6.8%)

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)

sample97.0ms (0.3%)

Algorithm

1×

intervals

Results

39.0ms	256×	body	128	valid
21.0ms	164×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune14.0ms (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

11.8b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.1b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
7.2b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
12.1b	(.f64 r (.f64 w w))

rewrite748.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

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:

51.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
23.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
19.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
14.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 6257 to 3523 computations (43.7% saved)

series1.3s (4%)

Error

11.5b

Counts

4 → 37

Calls

4 calls:

429.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
374.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
298.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
125.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 2733 to 2197 computations (19.6% saved)

simplify142.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5281	4346

prune627.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

2.5b

Counts

216 → 7

Compiler

Compiled 6752 to 3865 computations (42.8% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (*.f64 r r))
1.2b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
3.1b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
7.2b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite734.0ms (2.2%)

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:

39.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
21.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
17.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
8.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series1.1s (3.5%)

Error

2.5b

Counts

4 → 34

Calls

4 calls:

395.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
347.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
292.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
48.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2508 to 2019 computations (19.5% saved)

simplify146.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5261	4423

prune655.0ms (2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	203	10	213
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	207	13	220

Error

0.0b

Counts

220 → 13

Compiler

Compiled 6923 to 4000 computations (42.2% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 r)
0.6b	(cbrt.f64 r)
2.7b	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.1b	(.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))))

rewrite2.6s (7.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

375×	`times-frac_binary64`
246×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
236×	`add-exp-log_binary64`
228×	`cbrt-prod_binary64`
183×	`add-cube-cbrt_binary64`
146×	`add-cbrt-cube_binary64`
106×	`prod-exp_binary64` `cbrt-unprod_binary64`
90×	`div-exp_binary64` `cbrt-undiv_binary64`
42×	`difference-of-squares_binary64`
31×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
9×	`pow1_binary64` `frac-times_binary64`
8×	`div-inv_binary64`
6×	`associate-r/_binary64` `associate-/l_binary64`
5×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64`
2×	`pow1/3_binary64`
1×	`associate-r_binary64` `*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64`

Counts

4 → 353

Calls

4 calls:

88.0ms	(.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))))
33.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
2.0ms	(cbrt.f64 r)
2.0ms	(cbrt.f64 r)

Compiler

Compiled 21094 to 12117 computations (42.6% saved)

series1.6s (4.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

687.0ms	(/.f64 (cbrt.f64 r) (/.f64 (cbrt.f64 (-.f64 1 v)) w))
510.0ms	(.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))))
154.0ms	(cbrt.f64 r)
134.0ms	(cbrt.f64 r)

Compiler

Compiled 2912 to 2206 computations (24.2% saved)

simplify344.0ms (1%)

Algorithm

1×	egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4957	10895
1	4957	10895

prune2.2s (6.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	378	13	391

Error

0.0b

Counts

391 → 13

Compiler

Compiled 18425 to 10794 computations (41.4% saved)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 w)
0.7b	(cbrt.f64 w)
0.7b	(cbrt.f64 w)
3.1b	(.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 (.f64 (cbrt.f64 r) (.f64 (cbrt.f64 w) (cbrt.f64 w))) (/.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 w)))))

rewrite1.6s (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

619×	`add-exp-log_binary64`
339×	`add-cbrt-cube_binary64`
312×	`prod-exp_binary64` `cbrt-unprod_binary64`
225×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`pow1_binary64` `frac-times_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_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` `pow1/3_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 214

Calls

4 calls:

105.0ms	(.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 (.f64 (cbrt.f64 r) (.f64 (cbrt.f64 w) (cbrt.f64 w))) (/.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 w)))))
3.0ms	(cbrt.f64 w)
2.0ms	(cbrt.f64 w)
2.0ms	(cbrt.f64 w)

Compiler

Compiled 16395 to 8174 computations (50.1% saved)

series1.0s (3.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

560.0ms	(.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 (.f64 (cbrt.f64 r) (.f64 (cbrt.f64 w) (cbrt.f64 w))) (/.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 w)))))
149.0ms	(cbrt.f64 w)
149.0ms	(cbrt.f64 w)
136.0ms	(cbrt.f64 w)

Compiler

Compiled 2103 to 1549 computations (26.3% saved)

simplify316.0ms (1%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4945	6944
1	4945	6944

prune725.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	232	13	245

Error

0.0b

Counts

245 → 13

Compiler

Compiled 8590 to 5151 computations (40% saved)

regimes4.3s (12.9%)

Accuracy

Total 0.9b remaining (98%)

Threshold costs 0.9b (98%)

Compiler

Compiled 39097 to 29318 computations (25% saved)

bsearch0.0ms (0%)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	280	55
1	280	55

end0.0ms (0%)

sample10.4s (31.3%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
614.0ms	4897×	body	128	invalid

Compiler

Compiled 6102 to 4583 computations (24.9% saved)

Details

analyze2.3s (6.8%)

sample97.0ms (0.3%)

simplify95.0ms (0.3%)

prune14.0ms (0%)

localize34.0ms (0.1%)

rewrite748.0ms (2.3%)

series1.3s (4%)

simplify142.0ms (0.4%)

prune627.0ms (1.9%)

localize31.0ms (0.1%)

rewrite734.0ms (2.2%)

series1.1s (3.5%)

simplify146.0ms (0.4%)

prune655.0ms (2%)

localize50.0ms (0.1%)

rewrite2.6s (7.7%)

series1.6s (4.7%)

simplify344.0ms (1%)

prune2.2s (6.5%)

localize60.0ms (0.2%)

rewrite1.6s (4.7%)

series1.0s (3.2%)

simplify316.0ms (1%)

prune725.0ms (2.2%)

regimes4.3s (12.9%)

bsearch0.0ms (0%)

simplify23.0ms (0.1%)

end0.0ms (0%)

sample10.4s (31.3%)

Profiling