Details

sample86.0ms

Algorithm

intervals

Results

28.0ms	547×	body	80	valid
23.0ms	519×	body	80	nan

simplify72.0ms

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

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)))

rewrite26.0ms

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)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (* t t) 2.0)
151.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (51.0ms)

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

prune259.0ms

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

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))

rewrite37.0ms

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))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series398.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* 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))
129.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

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

prune315.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

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)))

rewrite49.0ms

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×	`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 → 104

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 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)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* t t) 2.0)
434.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
63.0ms	(* (- (* x 0.5) y) (sqrt z))
135.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	519	1189
1	2529	911
2	5003	852

prune316.0ms

Filtered

116 candidates to 69 candidates (59.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	117	7	124

Merged error: 0b

Counts

124 → 7

localize18.0ms

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)))
0.3b	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
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)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
47×	`add-exp-log`
36×	`add-cbrt-cube`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`sqrt-prod`
6×	`cbrt-prod`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`unswap-sqr`

Counts

4 → 107

Calls

4 calls:

25.0ms	(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
14.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
181.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
134.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
642.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	609	1856
1	2857	1403
2	5001	1284

prune293.0ms

Filtered

119 candidates to 68 candidates (57.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

regimes489.0ms

Accuracy

0% (0.3b 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 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

775.0ms	17828×	body	80	valid
746.0ms	17621×	body	80	nan