Details

sample111.0ms

Algorithm

intervals

Results

36.0ms	590×	body	80	valid
30.0ms	546×	body	80	nan

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--`
1×	`frac-2neg` `clear-num` `sqrt-prod` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (* t t) 2.0)
152.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	416	543
1	1735	457
2	5001	454

prune206.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series400.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
182.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
57.0ms	(* (- (* x 0.5) y) (sqrt z))
134.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	474	814
1	2310	687
2	5001	683

prune255.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
55×	`add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

27.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series793.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
58.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
415.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify88.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	578	1862
1	2819	1355
2	5001	1264

prune300.0ms

Filtered

127 candidates to 67 candidates (52.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	127	8	135

Merged error: 0b

Counts

135 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.4b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

112×	`pow1` `add-exp-log`
82×	`pow-prod-down` `prod-exp` `cbrt-unprod`
61×	`add-cbrt-cube`
20×	`associate-r` `associate-*l/`
15×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 146

Calls

4 calls:

8.0ms	(* (- (* x 0.5) y) (sqrt z))
32.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
24.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- (* x 0.5) y) (sqrt z))
154.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
417.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
533.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	677	3045
1	3231	2203
2	5001	1920

prune352.0ms

Filtered

158 candidates to 68 candidates (43.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	158	8	166

Merged error: 0b

Counts

166 → 8

regimes585.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

741.0ms	17844×	body	80	valid
713.0ms	17816×	body	80	nan