Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 64.202641%

Space saved by search: 0.389958%

Guaranteed chance to sample good point: 0%

Results

22.0ms	256×	body	80	valid
9.0ms	125×	body	80	nan
3.0ms	38×	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) t)
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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

6.0ms	(+ (+ (* x (log y)) z) t)
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))

series93.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ (* x (log y)) z) t)
65.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	664	893
1	2592	836
2	5001	793

prune166.0ms

Filtered

70 candidates to 105 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite24.0ms

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:

13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
5.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series85.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
7.0ms	(* x (log y))
23.0ms	(cbrt c)
21.0ms	(cbrt c)

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5002	735

prune224.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

18.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
7.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series105.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
8.0ms	(* (log (sqrt c)) (- b 0.5))
6.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify126.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1012	2060
1	4877	1896
2	5001	1896

prune214.0ms

Filtered

102 candidates to 143 candidates (-40.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	143	8	151

Merged error: 0.0b

Counts

151 → 8

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)

series85.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms	(cbrt y)
23.0ms	(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

prune140.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Merged error: 0b

Counts

122 → 8

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	39	17
1	39	17

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 64.202641%

Space saved by search: 0.389958%

Guaranteed chance to sample good point: 0%

Results

679.0ms	7998×	body	80	valid
304.0ms	4059×	body	80	nan
106.0ms	1229×	body	80	invalid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample2.8s

simplify73.0ms

prune6.0ms

localize18.0ms

rewrite33.0ms

series93.0ms

simplify65.0ms

prune166.0ms

localize23.0ms

rewrite24.0ms

series85.0ms

simplify59.0ms

prune224.0ms

localize21.0ms

rewrite44.0ms

series105.0ms

simplify126.0ms

prune214.0ms

localize23.0ms

rewrite22.0ms

series85.0ms

simplify49.0ms

prune140.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

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