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 (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify109.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune7.0ms (0.6%)

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 → 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)))

series17.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify47.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune94.0ms (7.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 33

Calls

2 calls:

9.0ms	(* (* 0.12900613773279798 x) (* x x))
4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))

series12.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4912	328
1	4912	328

prune72.0ms (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b	(* 0.12900613773279798 (* x x))
30.2b	(cbrt (pow x 3))

rewrite25.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
5.0ms	(* 0.12900613773279798 (* x x))
4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
2.0ms	(cbrt (pow x 3))

series25.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
8.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
3.0ms	(cbrt (pow x 3))
3.0ms	(* 0.12900613773279798 (* x x))

simplify38.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5298	629

prune158.0ms (12.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

0.2b

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite21.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

7.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

7.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

4.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

series27.0ms (2%)

Counts

3 → 9

Calls

3 calls:

13.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

8.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

6.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify29.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4978	677
1	4978	677

prune152.0ms (11.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	80	6	86

Merged error: 0b

Counts

86 → 6

regimes38.0ms (2.9%)

Accuracy

Total 0.1b remaining (92.6%)

Threshold costs 0.1b (92.6%)

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%)

sample311.0ms (23.9%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms (0.3%)

sample12.0ms (0.9%)

simplify109.0ms (8.4%)

prune7.0ms (0.6%)

localize6.0ms (0.5%)

rewrite11.0ms (0.8%)

series17.0ms (1.3%)

simplify47.0ms (3.6%)

prune94.0ms (7.2%)

localize7.0ms (0.5%)

rewrite14.0ms (1.1%)

series12.0ms (0.9%)

simplify47.0ms (3.7%)

prune72.0ms (5.5%)

localize10.0ms (0.8%)

rewrite25.0ms (1.9%)

series25.0ms (1.9%)

simplify38.0ms (2.9%)

prune158.0ms (12.1%)

localize9.0ms (0.7%)

rewrite21.0ms (1.6%)

series27.0ms (2%)

simplify29.0ms (2.2%)

prune152.0ms (11.7%)

regimes38.0ms (2.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample311.0ms (23.9%)

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