Details

sample187.0ms

Algorithm

intervals

Results

97.0ms	1990×	body	80	nan
15.0ms	257×	body	80	valid

simplify59.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

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

series341.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
75.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	585	828
1	2140	771
2	5001	755

prune322.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-pow` `distribute-lft-out`
5×	`log-prod`
4×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

4 → 57

Calls

4 calls:

11.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series711.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
182.0ms	(cbrt z)
181.0ms	(cbrt z)
185.0ms	(cbrt z)

simplify66.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	200	367
1	587	304
2	2130	290
3	5002	289

prune346.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

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)

rewrite26.0ms

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:

13.0ms	(+ (* (- 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)

series608.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
75.0ms	(+ (log (+ x y)) (log z))
178.0ms	(cbrt t)
184.0ms	(cbrt t)

simplify65.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune569.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
4.1b	(exp (log (pow t 1/3)))
5.0b	(pow t 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`exp-sum`
6×	`unpow-prod-down`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sum-log` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
4.0ms	(exp (log (pow t 1/3)))
2.0ms	(pow t 1/3)

series615.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (log (+ x y)) (log z))
184.0ms	(cbrt t)
176.0ms	(exp (log (pow t 1/3)))
179.0ms	(pow t 1/3)

simplify74.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	286	313
1	705	276
2	2346	254
3	5001	232

prune354.0ms

Filtered

84 candidates to 53 candidates (63.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes575.0ms

Accuracy

0% (0.3b 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	32	18
1	32	18

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	57022×	body	80	nan
464.0ms	8026×	body	80	valid