Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.0625%

Guaranteed chance to sample good point: 0%

Results

21.0ms	256×	body	80	valid
10.0ms	138×	body	80	nan
4.0ms	46×	body	80	invalid

simplify73.0ms

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

prune7.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
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))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`sum-log`
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--` `distribute-lft-out`
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:

9.0ms	(+ (+ (+ (* x (log y)) z) t) a)
17.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series101.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (+ (* x (log y)) z) t) a)
63.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	608	910
1	2382	858
2	5001	812

prune182.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

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:

5.0ms	(* x (log y))
15.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series88.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (51.0ms)

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

prune204.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

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

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.4b	(+ (* 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)
2.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
22.0ms	(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	605

prune192.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.4b	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
0.4b	(* (* x 1/3) (log y))
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(* x 1/3)
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
6.0ms	(* (* x 1/3) (log y))
1.0ms	(cbrt y)

series62.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* x 1/3)
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
8.0ms	(* (* x 1/3) (log y))
24.0ms	(cbrt y)

simplify61.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	414	696
1	1898	604
2	5001	562

prune140.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

regimes1.6s

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

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.0625%

Guaranteed chance to sample good point: 0%

Results

685.0ms	7998×	body	80	valid
299.0ms	4097×	body	80	nan
99.0ms	1232×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample2.8s

simplify73.0ms

prune7.0ms

localize18.0ms

rewrite40.0ms

series101.0ms

simplify62.0ms

prune182.0ms

localize23.0ms

rewrite27.0ms

series88.0ms

simplify61.0ms

prune204.0ms

localize27.0ms

rewrite22.0ms

series87.0ms

simplify48.0ms

prune192.0ms

localize27.0ms

rewrite24.0ms

series62.0ms

simplify61.0ms

prune140.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling