Details

analyze18.0ms (0.9%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify18.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	297	7
1	297	7

prune5.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

simplify40.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	145
1	4999	145

prune29.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

series183.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
44.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
44.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
41.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify70.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4915	1451
1	4915	1451

prune191.0ms (9.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

series175.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
44.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
42.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify48.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5191	812

prune150.0ms (7.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
18×	`unpow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64`
2×	`cbrt-div_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

4 → 70

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

series204.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
54.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
52.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
42.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify42.0ms (2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4902	1208
1	4902	1208

prune212.0ms (10.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

regimes246.0ms (11.8%)

Accuracy

Total 0.0b remaining (55.9%)

Threshold costs 0.0b (55.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	7
1	41	7

end0.0ms (0%)

sample339.0ms (16.2%)

Algorithm

1×

intervals

Results

163.0ms	7377×	body	80	valid
20.0ms	212×	body	1280	valid
13.0ms	119×	body	2560	valid
12.0ms	165×	body	640	valid
5.0ms	86×	body	320	valid
2.0ms	41×	body	160	valid

Details

analyze18.0ms (0.9%)

sample14.0ms (0.6%)

simplify18.0ms (0.9%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite4.0ms (0.2%)

series5.0ms (0.3%)

simplify40.0ms (1.9%)

prune29.0ms (1.4%)

localize8.0ms (0.4%)

rewrite21.0ms (1%)

series183.0ms (8.8%)

simplify70.0ms (3.3%)

prune191.0ms (9.1%)

localize14.0ms (0.7%)

rewrite13.0ms (0.6%)

series175.0ms (8.4%)

simplify48.0ms (2.3%)

prune150.0ms (7.2%)

localize16.0ms (0.8%)

rewrite20.0ms (1%)

series204.0ms (9.7%)

simplify42.0ms (2%)

prune212.0ms (10.1%)

regimes246.0ms (11.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample339.0ms (16.2%)

Profiling