Details

sample182.0ms

Algorithm

intervals

Results

57.0ms	895×	body	80	nan
21.0ms	292×	body	80	valid
0.0ms	1×	body	320	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune8.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
64.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
12.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	692	1057
1	2763	1002
2	5003	954

prune740.0ms

Filtered

107 candidates to 72 candidates (32.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
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 → 99

Calls

4 calls:

4.0ms	(* x (log y))
16.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series90.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
40.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
22.0ms	(cbrt c)
21.0ms	(cbrt c)

simplify60.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5001	735

prune1.3s

Filtered

111 candidates to 91 candidates (18.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (log (cbrt y)))
22.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify48.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	765
1	1356	673
2	5002	593

prune1.9s

Filtered

114 candidates to 87 candidates (23.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

localize217.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b 0.5) (log c))
0.3b	(* x (* 3 (log (cbrt y))))
0.3b	(* 3 (log (cbrt y)))
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`cbrt-prod`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-l`
10×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-pow` `*-commutative`
2×	`pow1/3` `associate-*l/` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (* 3 (log (cbrt y))))
5.0ms	(* 3 (log (cbrt y)))
1.0ms	(cbrt y)

series96.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (- b 0.5) (log c))
21.0ms	(* x (* 3 (log (cbrt y))))
44.0ms	(* 3 (log (cbrt y)))
22.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	461	813
1	1579	723
2	5001	671

prune1.1s

Filtered

126 candidates to 73 candidates (42.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

regimes1.9s

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	36	18
1	36	18

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.8s	27570×	body	80	nan
678.0ms	9150×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample182.0ms

simplify70.0ms

prune8.0ms

localize17.0ms

rewrite42.0ms

series255.0ms

simplify68.0ms

prune740.0ms

localize23.0ms

rewrite27.0ms

series90.0ms

simplify60.0ms

prune1.3s

localize23.0ms

rewrite22.0ms

series87.0ms

simplify48.0ms

prune1.9s

localize217.0ms

rewrite24.0ms

series96.0ms

simplify51.0ms

prune1.1s

regimes1.9s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.1s

Profiling