Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	265×	body	80	nan

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	91	10
2	275	10
3	672	10
4	1303	10
5	1737	10
6	1802	10
7	1802	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`sqrt-prod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

3.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
36.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms	(* 6.0 (* v v))
29.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
480.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms	(* 6.0 (* v v))
438.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify110.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	905	1373
1	4275	1219
2	5001	1215

prune287.0ms

Filtered

119 candidates to 87 candidates (73.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.2b	(* 6.0 (* v v))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

3.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
7.0ms	(* 6.0 (* v v))

series114.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
29.0ms	(* 6.0 (* v v))

simplify120.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	232	228
1	820	216
2	4038	215
3	5001	214

prune110.0ms

Filtered

44 candidates to 31 candidates (70.5%)

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	(expm1 (log1p (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
12×	`flip3--` `sqrt-div` `flip--`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `sqrt-prod` `associate-/l*`
2×	`*-commutative`
1×	`expm1-log1p` `frac-2neg` `clear-num` `associate-/r*` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

0.0ms	(expm1 (log1p (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
32.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms	(* 6.0 (* v v))
33.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series2.6s

Counts

4 → 12

Calls

4 calls:

1.9s	(expm1 (log1p (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
280.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms	(* 6.0 (* v v))
435.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1052	1555
1	5001	1371

prune363.0ms

Filtered

113 candidates to 82 candidates (72.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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	19	10
1	19	10

end0.0ms

sample721.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
251.0ms	7763×	body	80	nan