Details

sample227.0ms

Algorithm

intervals

Results

129.0ms	2128×	body	80	nan
20.0ms	256×	body	80	valid

simplify57.0ms

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

localize17.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite35.0ms

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))
6.0ms	(+ (log (+ x y)) (log z))

series509.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (+ (log (+ x y)) (log z)) t)
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune339.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize15.0ms

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

rewrite31.0ms

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)
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
6.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(- (log z) t)
195.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
61.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	836

prune313.0ms

Filtered

110 candidates to 79 candidates (71.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

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

rewrite29.0ms

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)

series594.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
72.0ms	(+ (log (+ x y)) (log z))
178.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

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

prune531.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt t)
0.7b	(cbrt (sqrt t))
0.7b	(cbrt (sqrt t))

rewrite12.0ms

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:

6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))

series556.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
185.0ms	(cbrt t)
149.0ms	(cbrt (sqrt t))
147.0ms	(cbrt (sqrt t))

simplify60.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (55.0ms)

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

prune371.0ms

Filtered

75 candidates to 60 candidates (80.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Merged error: 0b

Counts

83 → 8

regimes552.0ms

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

sample6.1s

Algorithm

intervals

Results

3.5s	56727×	body	80	nan
573.0ms	8033×	body	80	valid

Details

sample227.0ms

simplify57.0ms

prune3.0ms

localize17.0ms

rewrite35.0ms

series509.0ms

simplify59.0ms

prune339.0ms

localize15.0ms

rewrite31.0ms

series591.0ms

simplify57.0ms

prune313.0ms

localize20.0ms

rewrite29.0ms

series594.0ms

simplify61.0ms

prune531.0ms

localize27.0ms

rewrite12.0ms

series556.0ms

simplify60.0ms

prune371.0ms

regimes552.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.1s

Profiling