Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify132.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune12.0ms (0.9%)

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: 0.0b

Counts

2 → 2

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

6.0ms	(* 0.12900613773279798 (pow x 3))
4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify52.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune94.0ms (7.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
0.1b	(* (* 0.12900613773279798 (* x x)) x)
0.1b	(* 0.12900613773279798 (* x x))

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

7.0ms	(* (* 0.12900613773279798 (* x x)) x)
5.0ms	(* 0.12900613773279798 (* x x))
4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))

series15.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
4.0ms	(* (* 0.12900613773279798 (* x x)) x)
3.0ms	(* 0.12900613773279798 (* x x))

simplify42.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5021	462

prune96.0ms (7.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	63	4	67

Merged error: 0b

Counts

67 → 4

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.1b	(* (* 0.12900613773279798 x) x)

rewrite16.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* (* (* 0.12900613773279798 x) x) x)
5.0ms	(* (* 0.12900613773279798 x) x)
4.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))

series17.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
4.0ms	(* (* (* 0.12900613773279798 x) x) x)
3.0ms	(* (* 0.12900613773279798 x) x)

simplify59.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4928	454
1	4928	454

prune91.0ms (7.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite19.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)
4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series17.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
5.0ms	(* (* x x) x)
4.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify35.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5003	413

prune95.0ms (7.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes66.0ms (5.3%)

Accuracy

Total 0.1b remaining (75.4%)

Threshold costs 0.1b (75.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample314.0ms (25%)

Algorithm

1×

intervals

Results

230.0ms

8000×

body

valid

Details

analyze4.0ms (0.3%)

sample12.0ms (1%)

simplify132.0ms (10.6%)

prune12.0ms (0.9%)

localize6.0ms (0.5%)

rewrite11.0ms (0.8%)

series13.0ms (1%)

simplify52.0ms (4.1%)

prune94.0ms (7.5%)

localize7.0ms (0.5%)

rewrite17.0ms (1.4%)

series15.0ms (1.2%)

simplify42.0ms (3.3%)

prune96.0ms (7.7%)

localize7.0ms (0.5%)

rewrite16.0ms (1.3%)

series17.0ms (1.3%)

simplify59.0ms (4.7%)

prune91.0ms (7.2%)

localize6.0ms (0.5%)

rewrite19.0ms (1.5%)

series17.0ms (1.4%)

simplify35.0ms (2.8%)

prune95.0ms (7.6%)

regimes66.0ms (5.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample314.0ms (25%)

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