Details

sample236.0ms

Algorithm

intervals

Results

108.0ms	1741×	body	80	nan
18.0ms	256×	body	80	valid

simplify54.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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

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

rewrite37.0ms

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:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (log (+ x y)) (log z))

series104.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
50.0ms	(+ (- (+ (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))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

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

prune185.0ms

Filtered

114 candidates to 80 candidates (29.8%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
8.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
21.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
52.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	714	955
1	2569	887
2	5002	837

prune155.0ms

Filtered

110 candidates to 79 candidates (28.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

18.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
23.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
20.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	841	1445
1	3188	1317
2	5002	1269

prune211.0ms

Filtered

127 candidates to 87 candidates (31.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	127	10	137

Merged error: 0.0b

Counts

137 → 10

localize21.0ms

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	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

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))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))

series97.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
25.0ms	(cbrt t)
21.0ms	(cbrt t)
14.0ms	(+ (log (+ x y)) (log z))

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

prune155.0ms

Filtered

110 candidates to 95 candidates (13.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	111	9	120

Merged error: 0b

Counts

120 → 9

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	19	9
1	19	9

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.6s	56819×	body	80	nan
590.0ms	8044×	body	80	valid

Details

sample236.0ms

simplify54.0ms

prune5.0ms

localize14.0ms

rewrite37.0ms

series104.0ms

simplify58.0ms

prune185.0ms

localize15.0ms

rewrite32.0ms

series91.0ms

simplify60.0ms

prune155.0ms

localize17.0ms

rewrite50.0ms

series111.0ms

simplify74.0ms

prune211.0ms

localize21.0ms

rewrite26.0ms

series97.0ms

simplify58.0ms

prune155.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.5s

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