Details

sample101.0ms

Algorithm

intervals

Results

33.0ms	600×	body	80	nan
32.0ms	629×	body	80	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

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

series305.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
24.0ms	(/ (* t t) 2.0)
101.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	416	543
1	1735	457
2	5002	454

prune184.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:

14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
5.0ms	(/ (* t t) 2.0)
7.0ms	(* (- (* x 0.5) y) (sqrt z))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series417.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
24.0ms	(/ (* t t) 2.0)
63.0ms	(* (- (* x 0.5) y) (sqrt z))
140.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

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

prune344.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	101	9	110

Merged error: 0b

Counts

110 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.4b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
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 → 100

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
7.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
55.0ms	(* (- (* x 0.5) y) (sqrt z))
156.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
133.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	501	868
1	2399	722
2	5001	710

prune282.0ms

Filtered

112 candidates to 71 candidates (63.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

49×	`sqrt-prod`
39×	`associate-r`
34×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 117

Calls

4 calls:

8.0ms	(* (- (* x 0.5) y) (sqrt z))
23.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
17.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

series993.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- (* x 0.5) y) (sqrt z))
310.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
160.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
462.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	568	1502
1	3052	1198
2	5003	1123

prune347.0ms

Filtered

129 candidates to 74 candidates (57.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	3	1	4
Picked	0	1	1
Done	0	3	3
Total	131	6	137

Merged error: 0b

Counts

137 → 6

regimes409.0ms

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	19	9
1	19	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

964.0ms	18084×	body	80	valid
935.0ms	17810×	body	80	nan