Details

analyze1.1s

Algorithm

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%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample81.0ms

Algorithm

intervals

Results

24.0ms	299×	body	80	nan
20.0ms	256×	body	80	valid
3.0ms	37×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	620	21
1	620	21

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
16.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series98.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x (log y)) z)
67.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify37.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4787	1396
1	4787	1396

prune190.0ms

Filtered

80 candidates to 108 candidates (-35.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

12.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series90.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
7.0ms	(* x (log y))
21.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify77.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4836	702
1	4836	702

prune175.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (pow c 1/3))))
0.3b	(* x (log y))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-+r+`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`unpow-prod-down`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`cbrt-prod` `pow-unpow` `associate-l` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (pow c 1/3))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series98.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (pow c 1/3))))
7.0ms	(* x (log y))
24.0ms	(cbrt c)
19.0ms	(pow c 1/3)

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4906	736
1	4906	736

prune197.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.7b	(cbrt (cbrt c))
0.7b	(cbrt (cbrt c))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(cbrt (cbrt c))
2.0ms	(cbrt (cbrt c))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
22.0ms	(cbrt c)
29.0ms	(cbrt (cbrt c))
31.0ms	(cbrt (cbrt c))

simplify54.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4917	266
1	4917	266

prune82.0ms

Filtered

42 candidates to 62 candidates (-47.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

regimes1.7s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	33
1	39	33

end0.0ms

analyze1.1s

Algorithm

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%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample2.3s

Algorithm

intervals

Results

720.0ms	9772×	body	80	nan
669.0ms	7998×	body	80	valid
102.0ms	1239×	body	80	invalid
1.0ms	2×	body	640	valid

Details

analyze1.1s

sample81.0ms

simplify9.0ms

prune12.0ms

localize18.0ms

rewrite35.0ms

series98.0ms

simplify37.0ms

prune190.0ms

localize24.0ms

rewrite22.0ms

series90.0ms

simplify77.0ms

prune175.0ms

localize31.0ms

rewrite21.0ms

series98.0ms

simplify63.0ms

prune197.0ms

localize29.0ms

rewrite7.0ms

series105.0ms

simplify54.0ms

prune82.0ms

regimes1.7s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample2.3s

Profiling