Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
9.0ms	258×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
25×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
20×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 112

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 (* v v)))
12.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))

series383.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- 1.0 (* 3.0 (* v v)))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
84.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
27.0ms	(* 3.0 (* v v))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	521	966
1	1911	911
2	5001	905

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))
10.0ms	(* 3.0 (* v v))

series560.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
254.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
26.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))

simplify115.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	302	606
1	1074	566
2	4539	520
3	5001	518

prune311.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v)))))))
0.0b	(expm1 (log1p (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv` `expm1-udef`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v)))))))
1.0ms	(expm1 (log1p (- 1.0 (* 3.0 (* v v)))))
1.0ms	(sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

474.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v)))))))
242.0ms	(expm1 (log1p (- 1.0 (* 3.0 (* v v)))))
312.0ms	(sqrt (expm1 (log1p (- 1.0 (* 3.0 (* v v))))))
31.0ms	(* 3.0 (* v v))

simplify77.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	824	1429
1	3425	1351
2	5001	1336

prune359.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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	21	17
1	21	17

end0.0ms

sample781.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
290.0ms	7877×	body	80	nan