Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	nan
9.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune2.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series305.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	769
2	5002	764

prune428.0ms

Filtered

95 candidates to 66 candidates (69.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.2b	(* 3.0 (* v v))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
72×	`times-frac`
71×	`associate-l` `sqrt-prod`
50×	`add-exp-log`
48×	`add-cube-cbrt` `*-un-lft-identity`
44×	`cbrt-prod`
40×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
17×	`pow1`
15×	`unswap-sqr`
14×	`sqrt-div`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `div-exp`
8×	`associate-r`
7×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 180

Calls

4 calls:

20.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
19.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))

series754.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
381.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
26.0ms	(* 3.0 (* v v))

simplify111.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	876	2684
1	3996	2353
2	5002	2252

prune590.0ms

Filtered

192 candidates to 122 candidates (63.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	192	2	194

Merged error: 0b

Counts

194 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
1.0b	(* (/ (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (sqrt (* (cbrt 4.0) (cbrt 4.0)))) (* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v))))))
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

225×	`cbrt-prod`
175×	`add-sqr-sqrt`
138×	`sqrt-prod`
136×	`times-frac`
129×	`associate-l`
90×	`add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
40×	`add-cbrt-cube`
31×	`unswap-sqr`
24×	`prod-exp` `cbrt-unprod`
23×	`pow1`
14×	`associate-r`
12×	`sqrt-div`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `div-exp`
9×	`pow-prod-down`
6×	`flip3--` `pow1/3` `swap-sqr` `flip--`
4×	`associate-l/` `-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 269

Calls

4 calls:

30.0ms	(* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
31.0ms	(* (/ (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (sqrt (* (cbrt 4.0) (cbrt 4.0)))) (* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* (cbrt 4.0) (cbrt 4.0))

series831.0ms

Counts

4 → 10

Calls

4 calls:

443.0ms	(* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))
363.0ms	(* (/ (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (sqrt (* (cbrt 4.0) (cbrt 4.0)))) (* (/ (cbrt (cbrt (sqrt 2.0))) (sqrt (cbrt 4.0))) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	983	4276
1	4150	3804
2	5001	3648

prune1.3s

Filtered

279 candidates to 186 candidates (66.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	279	2	281

Merged error: 0b

Counts

281 → 2

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms

sample748.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
274.0ms	7730×	body	80	nan