Details

analyze246.0ms (10.3%)

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify146.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 0.5) (log.f64 y))

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))

series60.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))
17.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y) z)
12.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y)
11.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5035	1060

prune142.0ms (6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) (-.f64 y z))
0.2b	(*.f64 (+.f64 y 0.5) (log.f64 y))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-log-exp_binary64`
16×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `associate-l_binary64` `sum-log_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-+r-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

9.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) (-.f64 y z))
7.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))
4.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))

series50.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))
18.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) (-.f64 y z))
11.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4741	1065
1	4741	1065

prune112.0ms (4.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
9.0ms	(.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series215.0ms (9%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
67.0ms	(.f64 (+.f64 y 0.5) (.f64 (log.f64 (cbrt.f64 y)) 2))
19.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify29.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5131	861

prune131.0ms (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize27.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 (pow.f64 y 2/3))
6.0b	(pow.f64 y 2/3)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

3.0ms	(pow.f64 y 2/3)
2.0ms	(cbrt.f64 (pow.f64 y 2/3))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

series88.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (cbrt.f64 y))
22.0ms	(cbrt.f64 (pow.f64 y 2/3))
20.0ms	(cbrt.f64 y)
17.0ms	(pow.f64 y 2/3)

simplify57.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5203	328

prune105.0ms (4.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes177.0ms (7.4%)

Accuracy

Total 0.1b remaining (78%)

Threshold costs 0.1b (78%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	12
1	63	12

end0.0ms (0%)

sample546.0ms (22.9%)

Algorithm

1×

intervals

Results

368.0ms	7998×	body	80	valid
1.0ms	28×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze246.0ms (10.3%)

sample21.0ms (0.9%)

simplify146.0ms (6.1%)

prune6.0ms (0.3%)

localize9.0ms (0.4%)

rewrite32.0ms (1.3%)

series60.0ms (2.5%)

simplify56.0ms (2.3%)

prune142.0ms (6%)

localize10.0ms (0.4%)

rewrite23.0ms (0.9%)

series50.0ms (2.1%)

simplify42.0ms (1.7%)

prune112.0ms (4.7%)

localize15.0ms (0.6%)

rewrite29.0ms (1.2%)

series215.0ms (9%)

simplify29.0ms (1.2%)

prune131.0ms (5.5%)

localize27.0ms (1.2%)

rewrite10.0ms (0.4%)

series88.0ms (3.7%)

simplify57.0ms (2.4%)

prune105.0ms (4.4%)

regimes177.0ms (7.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample546.0ms (22.9%)

Profiling