Details

analyze1.4s (25.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	101×	body	80	invalid

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	838	17
1	838	17

prune9.0ms (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: 3.8b

Counts

2 → 1

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
6.2b	(* (* (* y 9.0) z) t)

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

8.0ms	(* (* a 27.0) b)
7.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* (* y 9.0) z) t)
5.0ms	(* (* y 9.0) z)

series48.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
7.0ms	(* (* (* y 9.0) z) t)
3.0ms	(* (* y 9.0) z)
3.0ms	(* (* a 27.0) b)

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5006	783

prune178.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Merged error: 0.1b

Counts

84 → 9

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* 9.0 z))
6.2b	(* (* y (* 9.0 z)) t)

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

6.0ms	(* (* y (* 9.0 z)) t)
5.0ms	(* y (* 9.0 z))
4.0ms	(* (* a 27.0) b)
4.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))

series30.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
6.0ms	(* (* y (* 9.0 z)) t)
3.0ms	(* (* a 27.0) b)
3.0ms	(* y (* 9.0 z))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5112	644

prune164.0ms (2.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.2b	(* a (* 27.0 b))
6.2b	(* (* (* y 9.0) z) t)

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

7.0ms	(* (* (* y 9.0) z) t)
5.0ms	(* (* y 9.0) z)
4.0ms	(* a (* 27.0 b))
4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))

series29.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* (* y 9.0) z) t)
4.0ms	(* (* y 9.0) z)
4.0ms	(* a (* 27.0 b))

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5045	642

prune157.0ms (2.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	79	10	89

Merged error: 0.0b

Counts

89 → 10

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (* (* (* y 9.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
5.0b	(* (* (* y 9.0) z) (* (cbrt t) (cbrt t)))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`pow1` `add-exp-log`
37×	`pow-prod-down` `prod-exp` `cbrt-unprod`
35×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* (* (* (* y 9.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
11.0ms	(* (* (* y 9.0) z) (* (cbrt t) (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series87.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* y 9.0) z) (* (cbrt t) (cbrt t)))
21.0ms	(cbrt t)
21.0ms	(cbrt t)
15.0ms	(* (* (* (* y 9.0) z) (* (cbrt t) (cbrt t))) (cbrt t))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5235	732

prune146.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

regimes2.0s (36.1%)

Accuracy

Total 1.1b remaining (94.8%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	47
1	136	47

end0.0ms (0%)

sample932.0ms (16.4%)

Algorithm

1×

intervals

Results

404.0ms	8000×	body	80	valid
151.0ms	2984×	body	80	invalid

Details

analyze1.4s (25.1%)

sample34.0ms (0.6%)

simplify39.0ms (0.7%)

prune9.0ms (0.2%)

localize12.0ms (0.2%)

rewrite28.0ms (0.5%)

series48.0ms (0.9%)

simplify46.0ms (0.8%)

prune178.0ms (3.1%)

localize12.0ms (0.2%)

rewrite21.0ms (0.4%)

series30.0ms (0.5%)

simplify43.0ms (0.8%)

prune164.0ms (2.9%)

localize12.0ms (0.2%)

rewrite21.0ms (0.4%)

series29.0ms (0.5%)

simplify42.0ms (0.7%)

prune157.0ms (2.8%)

localize18.0ms (0.3%)

rewrite32.0ms (0.6%)

series87.0ms (1.5%)

simplify56.0ms (1%)

prune146.0ms (2.6%)

regimes2.0s (36.1%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample932.0ms (16.4%)

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