Details

analyze1.7s (21.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample61.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	200×	body	80	invalid
14.0ms	256×	body	80	valid

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	5068	19

prune17.0ms (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: 0.6b

Counts

2 → 2

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) (* c (* (+ a (* b c)) i)))
0.0b	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
0.6b	(* (+ a (* b c)) i)
4.6b	(* c (* (+ a (* b c)) i))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `associate-r/` `sum-log` `-commutative`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(* c (* (+ a (* b c)) i))
6.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
5.0ms	(* (+ a (* b c)) i)
4.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))

series410.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

335.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
45.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
16.0ms	(* c (* (+ a (* b c)) i))
13.0ms	(* (+ a (* b c)) i)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	1007
1	4932	1007

prune149.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Merged error: 0.5b

Counts

79 → 9

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
2.0b	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
2.5b	(* (+ a (* c b)) (* i (cbrt c)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

13.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
7.0ms	(* (+ a (* c b)) (* i (cbrt c)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series119.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ a (* c b)) (* i (cbrt c)))
22.0ms	(cbrt c)
22.0ms	(cbrt c)
18.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4944	684
1	4944	684

prune163.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Merged error: 0.5b

Counts

93 → 11

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.8b	(* (cbrt c) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))
2.9b	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log`
19×	`prod-exp`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `cbrt-unprod`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`pow-to-exp` `flip3-+` `pow1/3` `associate-r/` `associate-r` `pow-exp` `-commutative` `flip-+`

Counts

4 → 70

Calls

4 calls:

11.0ms	(* (cbrt c) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))
8.0ms	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series134.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))
21.0ms	(cbrt c)
21.0ms	(cbrt c)
19.0ms	(* (cbrt c) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	731
1	4963	731

prune177.0ms (2.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	81	12	93

Merged error: 0.5b

Counts

93 → 12

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt (pow (cbrt c) 2))
0.8b	(* (* (cbrt (pow (cbrt c) 2)) (cbrt (cbrt c))) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))
2.9b	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log`
36×	`prod-exp`
24×	`add-cbrt-cube`
18×	`pow1` `cbrt-unprod`
17×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
6×	`unpow-prod-down`
4×	`associate-l` `associate-*l/` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`
1×	`unpow2` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* (* (cbrt (pow (cbrt c) 2)) (cbrt (cbrt c))) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))
9.0ms	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))
3.0ms	(cbrt (pow (cbrt c) 2))
1.0ms	(cbrt c)

series148.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ a (* c b)) (* i (pow (cbrt c) 2)))
36.0ms	(cbrt (pow (cbrt c) 2))
21.0ms	(cbrt c)
19.0ms	(* (* (cbrt (pow (cbrt c) 2)) (cbrt (cbrt c))) (* (+ a (* c b)) (* i (pow (cbrt c) 2))))

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4942	1270
1	4942	1270

prune200.0ms (2.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	95	12	107

Merged error: 0.5b

Counts

107 → 12

regimes2.3s (29.3%)

Accuracy

Total 1.7b remaining (66.9%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	25
1	121	25

end0.0ms (0%)

sample1.6s (21%)

Algorithm

1×

intervals

Results

486.0ms	8000×	body	80	valid
429.0ms	7269×	body	80	invalid

Details

analyze1.7s (21.7%)

sample61.0ms (0.8%)

simplify167.0ms (2.2%)

prune17.0ms (0.2%)

localize14.0ms (0.2%)

rewrite23.0ms (0.3%)

series410.0ms (5.3%)

simplify61.0ms (0.8%)

prune149.0ms (1.9%)

localize18.0ms (0.2%)

rewrite25.0ms (0.3%)

series119.0ms (1.5%)

simplify50.0ms (0.7%)

prune163.0ms (2.1%)

localize22.0ms (0.3%)

rewrite24.0ms (0.3%)

series134.0ms (1.7%)

simplify61.0ms (0.8%)

prune177.0ms (2.3%)

localize24.0ms (0.3%)

rewrite31.0ms (0.4%)

series148.0ms (1.9%)

simplify53.0ms (0.7%)

prune200.0ms (2.6%)

regimes2.3s (29.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (21%)

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