Details

analyze453.0ms (19.3%)

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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample25.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	77×	body	80	nan

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 21.0b

Counts

2 → 1

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(*.f64 x (+.f64 y z))

series64.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(*.f64 x (+.f64 y z))

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5005	617

prune94.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 21.0b

Counts

61 → 8

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (+.f64 x y))
1.8b	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
19.9b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

6.0ms	(*.f64 z (+.f64 x y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

series62.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
9.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
8.0ms	(*.f64 z (+.f64 x y))

simplify47.0ms (2%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4917	621
1	4917	621

prune79.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Merged error: 21.0b

Counts

68 → 8

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series105.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
42.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5001	916

prune92.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 21.0b

Counts

76 → 9

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sqrt-prod_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 48

Calls

4 calls:

14.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
13.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series107.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))
20.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
15.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5014	562

prune58.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	60	9	69

Merged error: 21.0b

Counts

69 → 9

regimes189.0ms (8%)

Accuracy

Total 0.1b remaining (0.3%)

Threshold costs 0.1b (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample682.0ms (29%)

Algorithm

1×

intervals

Results

364.0ms	8000×	body	80	valid
104.0ms	2248×	body	80	nan

Details

analyze453.0ms (19.3%)

sample25.0ms (1%)

simplify6.0ms (0.2%)

prune7.0ms (0.3%)

localize8.0ms (0.3%)

rewrite21.0ms (0.9%)

series64.0ms (2.7%)

simplify48.0ms (2.1%)

prune94.0ms (4%)

localize8.0ms (0.4%)

rewrite16.0ms (0.7%)

series62.0ms (2.6%)

simplify47.0ms (2%)

prune79.0ms (3.4%)

localize13.0ms (0.6%)

rewrite29.0ms (1.2%)

series105.0ms (4.4%)

simplify45.0ms (1.9%)

prune92.0ms (3.9%)

localize12.0ms (0.5%)

rewrite31.0ms (1.3%)

series107.0ms (4.5%)

simplify51.0ms (2.2%)

prune58.0ms (2.5%)

regimes189.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample682.0ms (29%)

Profiling