Details

sample5.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 0%

Results

27.0ms	256×	body	80	valid
27.0ms	342×	body	80	nan
3.0ms	33×	body	80	invalid

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

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))

rewrite35.0ms

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:

4.0ms	(+ (* x (log y)) z)
13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series92.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x (log y)) z)
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))

simplify64.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (55.0ms)

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

prune205.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	96	12	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	12	109

Merged error: 0.0b

Counts

109 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.2b	(* (- b 0.5) (log (sqrt c)))
0.3b	(* x (log y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
7.0ms	(* (log (sqrt c)) (- b 0.5))
8.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series101.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
10.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify71.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	622	1054
1	2746	982
2	5002	963

prune210.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Merged error: 0.0b

Counts

138 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
48×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
32×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
18×	`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 → 123

Calls

4 calls:

5.0ms	(* x (log y))
15.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))

series66.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
29.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
15.0ms	(cbrt (sqrt c))
15.0ms	(cbrt (sqrt c))

simplify69.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	702	1277
1	2401	1130
2	5001	1078

prune265.0ms

Filtered

105 candidates to 135 candidates (-28.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	135	11	146

Merged error: 0.0b

Counts

146 → 11

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

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

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

prune339.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

regimes1.8s

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	42	25
1	42	25

end0.0ms

sample8.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 0%

Results

924.0ms	11517×	body	80	nan
723.0ms	7999×	body	80	valid
113.0ms	1233×	body	80	invalid
0.0ms	1×	body	640	valid

Details

sample5.0s

simplify70.0ms

prune6.0ms

localize18.0ms

rewrite35.0ms

series92.0ms

simplify64.0ms

prune205.0ms

localize22.0ms

rewrite36.0ms

series101.0ms

simplify71.0ms

prune210.0ms

localize32.0ms

rewrite29.0ms

series66.0ms

simplify69.0ms

prune265.0ms

localize23.0ms

rewrite22.0ms

series85.0ms

simplify49.0ms

prune339.0ms

regimes1.8s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.1s

Profiling