Details

sample84.0ms

Algorithm

intervals

Results

27.0ms	547×	body	80	valid
21.0ms	519×	body	80	nan

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	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: 0.2b

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)))

rewrite28.0ms

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×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `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 → 68

Calls

3 calls:

5.0ms	(/ (* t t) 2.0)
13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series329.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* t t) 2.0)
185.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
116.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	432	581
1	1713	493
2	5002	486

prune225.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize13.0ms

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)))
0.3b	(* (- (* 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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series459.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
216.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
67.0ms	(* (- (* x 0.5) y) (sqrt z))
149.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	490	866
1	2265	736
2	5001	722

prune326.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`pow1`
28×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
16×	`add-sqr-sqrt` `associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
7×	`sqrt-prod`
6×	`cbrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 112

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
15.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
9.0ms	(* (- (* x 0.5) y) (sqrt z))
19.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series745.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
491.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
69.0ms	(* (- (* x 0.5) y) (sqrt z))
158.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	535	1255
1	2510	969
2	5002	894

prune363.0ms

Filtered

124 candidates to 78 candidates (62.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	8	131

Merged error: 0b

Counts

131 → 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) (sqrt 2.0)))
0.4b	(* (sqrt z) (sqrt 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`pow1` `add-exp-log`
20×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-r` `associate-l` `sqrt-prod`
6×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `flip--`
1×	`frac-2neg` `sqrt-unprod` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
17.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series479.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
220.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
153.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
79.0ms	(* (sqrt z) (sqrt 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	526	859
1	2354	735
2	5003	722

prune288.0ms

Filtered

114 candidates to 76 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	115	7	122

Merged error: 0b

Counts

122 → 7

regimes436.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample2.4s

Algorithm

intervals

Results

773.0ms	17828×	body	80	valid
733.0ms	17621×	body	80	nan