Details

sample82.0ms

Algorithm

intervals

Results

24.0ms	581×	body	80	valid
23.0ms	582×	body	80	nan

simplify77.0ms

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: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* 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)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* 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)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
157.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	443	614
1	1819	523
2	5001	520

prune235.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* 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))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

2.0ms	(exp (/ (* 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))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series396.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (/ (* t t) 2.0))
186.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
59.0ms	(* (- (* x 0.5) y) (sqrt z))
131.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	423	800
1	1954	683
2	5002	675

prune239.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

22.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
157.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
192.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	543	1259
1	2725	997
2	5002	985

prune300.0ms

Filtered

117 candidates to 69 candidates (59.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (sqrt (* z 2.0)))
3.0ms	(sqrt (sqrt (* z 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
14.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(sqrt (sqrt (* z 2.0)))
190.0ms	(sqrt (sqrt (* z 2.0)))
157.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
102.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	366	702
1	1432	607
2	5001	584

prune227.0ms

Filtered

95 candidates to 65 candidates (68.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Merged error: 0b

Counts

101 → 6

regimes416.0ms

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

sample2.4s

Algorithm

intervals

Results

772.0ms	17777×	body	80	valid
728.0ms	17676×	body	80	nan