Details

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 0%

Results

32.0ms	368×	body	80	nan
21.0ms	256×	body	80	valid
3.0ms	36×	body	80	invalid

simplify71.0ms

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

prune6.0ms

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (+ (* x (log y)) z) t)
16.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ (* x (log y)) z) t)
175.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
12.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	547	726
1	2006	649
2	5002	608

prune155.0ms

Filtered

62 candidates to 96 candidates (-54.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

25.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (+ (* (- b 0.5) (log (sqrt c))) (* (- b 0.5) (log (sqrt c))))) (* y i))
10.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series219.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (+ (* (- b 0.5) (log (sqrt c))) (* (- b 0.5) (log (sqrt c))))) (* y i))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify55.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	520	1191
1	1914	1034
2	5001	983

prune163.0ms

Filtered

77 candidates to 131 candidates (-70.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Merged error: 0.0b

Counts

138 → 7

localize22.0ms

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)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

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

prune176.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.6b	(cbrt y)
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

8.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series71.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
21.0ms	(cbrt y)
15.0ms	(cbrt (sqrt y))
18.0ms	(cbrt (sqrt y))

simplify153.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	258	686
1	856	639
2	4521	560
3	5001	554

prune125.0ms

Filtered

65 candidates to 107 candidates (-64.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes1.5s

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	30	17
1	30	17

end0.0ms

sample7.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 0%

Results

937.0ms	11815×	body	80	nan
679.0ms	7998×	body	80	valid
105.0ms	1247×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample4.6s

simplify71.0ms

prune6.0ms

localize18.0ms

rewrite36.0ms

series206.0ms

simplify52.0ms

prune155.0ms

localize20.0ms

rewrite51.0ms

series219.0ms

simplify55.0ms

prune163.0ms

localize22.0ms

rewrite22.0ms

series86.0ms

simplify50.0ms

prune176.0ms

localize28.0ms

rewrite16.0ms

series71.0ms

simplify153.0ms

prune125.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.8s

Profiling