Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 17.581395%

Results

19.0ms	256×	body	80	valid
16.0ms	237×	body	80	nan
0.0ms	2×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune5.0ms

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: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (+ x y)) (log z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

7.0ms	(- (+ (log (+ x y)) (log z)) t)
11.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series104.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
51.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	681	1040
1	2483	977
2	5001	932

prune196.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.4b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series92.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
20.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	637	941
1	2068	825
2	5001	778

prune406.0ms

Filtered

95 candidates to 110 candidates (-15.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
0.4b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-+r+`
15×	`cbrt-prod`
9×	`pow1` `unpow-prod-down`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log`
4×	`flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `flip3-+` `flip-+` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 107

Calls

4 calls:

14.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series105.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
14.0ms	(+ (log (+ x y)) (log z))
24.0ms	(cbrt t)
20.0ms	(pow t 1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	743	978
1	2641	864
2	5002	787

prune263.0ms

Filtered

96 candidates to 119 candidates (-24.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
0.4b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

47×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
32×	`associate-+l+`
27×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`unpow-prod-down` `associate-+r+`
9×	`pow1` `cbrt-prod`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `sqr-pow`
4×	`flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 109

Calls

4 calls:

15.0ms	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series102.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
19.0ms	(pow t 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	779	993
1	2684	879
2	5001	779

prune245.0ms

Filtered

96 candidates to 121 candidates (-26.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Merged error: 0.0b

Counts

131 → 10

regimes1.2s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 17.581395%

Results

605.0ms	8782×	body	80	nan
600.0ms	8000×	body	80	valid
3.0ms	39×	body	80	invalid

Details

sample1.7s

simplify58.0ms

prune5.0ms

localize14.0ms

rewrite38.0ms

series104.0ms

simplify59.0ms

prune196.0ms

localize19.0ms

rewrite27.0ms

series92.0ms

simplify58.0ms

prune406.0ms

localize28.0ms

rewrite28.0ms

series105.0ms

simplify81.0ms

prune263.0ms

localize27.0ms

rewrite29.0ms

series102.0ms

simplify79.0ms

prune245.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling