Details

sample173.0ms

Algorithm

intervals

Results

87.0ms	1762×	body	80	nan
15.0ms	257×	body	80	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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 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))

rewrite42.0ms

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:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
15.0ms	(+ (- (+ (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))

series624.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(- (+ (log (+ x y)) (log z)) t)
248.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
73.0ms	(* (- a 0.5) (log t))
94.0ms	(+ (log (+ x y)) (log z))

simplify80.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune385.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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)
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
8.0ms	(* (- a 0.5) (log t))

series521.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (log z) t)
254.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
117.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
76.0ms	(* (- a 0.5) (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune357.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

localize23.0ms

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))

rewrite32.0ms

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:

16.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
2.0ms	(cbrt t)
1.0ms	(cbrt t)
8.0ms	(+ (log (+ x y)) (log z))

series742.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
208.0ms	(cbrt t)
212.0ms	(cbrt t)
96.0ms	(+ (log (+ x y)) (log z))

simplify82.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (70.0ms)

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

prune551.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	110	6	116

Merged error: 0b

Counts

116 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt t))
0.5b	(cbrt (sqrt t))
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
1.0ms	(cbrt t)
8.0ms	(+ (log (+ x y)) (log z))

series665.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (sqrt t))
180.0ms	(cbrt (sqrt t))
208.0ms	(cbrt t)
96.0ms	(+ (log (+ x y)) (log z))

simplify77.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	251	365
1	582	335
2	2020	320
3	5001	318

prune390.0ms

Filtered

75 candidates to 60 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Merged error: 0b

Counts

81 → 6

regimes483.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.8s	57386×	body	80	nan
470.0ms	8023×	body	80	valid