Details

sample12.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.0625%

Guaranteed chance to sample good point: 0%

Results

20.0ms	256×	body	80	valid
12.0ms	131×	body	80	nan
4.0ms	49×	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

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)
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))

rewrite32.0ms

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)
13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x (log y)) z)
64.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
10.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	665	888
1	2567	831
2	5003	785

prune169.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt c) (cbrt c))
21.0ms	(cbrt c)
24.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune125.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize26.0ms

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))))
0.7b	(cbrt y)
0.7b	(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)

series88.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
26.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (41.0ms)

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

prune160.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (pow c 2/3)) (- b 0.5))
0.3b	(* x (log y))
0.6b	(cbrt c)
6.0b	(pow c 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`pow1`
9×	`add-exp-log` `associate-r`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`log-prod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-exp` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (log (pow c 2/3)) (- b 0.5))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
2.0ms	(pow c 2/3)

series74.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (log (pow c 2/3)) (- b 0.5))
7.0ms	(* x (log y))
21.0ms	(cbrt c)
20.0ms	(pow c 2/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	405	430
1	1483	376
2	5002	322

prune129.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

regimes1.4s

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	35	19
1	35	19

end0.0ms

sample15.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.0625%

Guaranteed chance to sample good point: 0%

Results

642.0ms	7994×	body	80	valid
296.0ms	4037×	body	80	nan
94.0ms	1207×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample12.9s

simplify73.0ms

prune6.0ms

localize18.0ms

rewrite32.0ms

series94.0ms

simplify66.0ms

prune169.0ms

localize27.0ms

rewrite11.0ms

series92.0ms

simplify73.0ms

prune125.0ms

localize26.0ms

rewrite22.0ms

series88.0ms

simplify49.0ms

prune160.0ms

localize34.0ms

rewrite16.0ms

series74.0ms

simplify47.0ms

prune129.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample15.5s

Profiling