Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 41.674419%

Results

25.0ms	317×	body	80	nan
19.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify60.0ms

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: 0.2b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ x y))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(log (+ x y))
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series88.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(log (+ x y))
52.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	676	932
1	2419	868
2	5002	817

prune162.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series94.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
25.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

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

prune117.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

15.0ms	(+ (* (- 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)

series99.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
24.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (47.0ms)

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

prune178.0ms

Filtered

95 candidates to 110 candidates (-15.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series93.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
22.0ms	(cbrt t)
22.0ms	(cbrt t)
25.0ms	(cbrt t)

simplify120.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (22.0ms)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2707	128
5	5001	128

prune79.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

regimes1.1s

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	24	15
1	24	15

end0.0ms

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 41.674419%

Results

628.0ms	8000×	body	80	valid
616.0ms	8982×	body	80	nan
2.0ms	32×	body	80	invalid

Details

sample1.2s

simplify60.0ms

prune5.0ms

localize16.0ms

rewrite31.0ms

series88.0ms

simplify65.0ms

prune162.0ms

localize24.0ms

rewrite11.0ms

series94.0ms

simplify74.0ms

prune117.0ms

localize20.0ms

rewrite28.0ms

series99.0ms

simplify57.0ms

prune178.0ms

localize33.0ms

rewrite6.0ms

series93.0ms

simplify120.0ms

prune79.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling