Details

sample336.0ms

Algorithm

intervals

Results

56.0ms

544×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	675	14
3	3242	13
4	5001	13

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.3b	(/ 2.0 (* r r))
5.4b	(* (* (* w w) r) r)
12.1b	(* (* w w) r)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
3.0ms	(/ 2.0 (* r r))
26.0ms	(* (* (* w w) r) r)
11.0ms	(* (* w w) r)

series189.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
24.0ms	(/ 2.0 (* r r))
32.0ms	(* (* (* w w) r) r)
32.0ms	(* (* w w) r)

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	459
1	1457	382
2	5001	374

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

3.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms	(/ 2.0 (* r r))
5.0ms	(* (fabs (* w r)) (fabs (* w r)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
77.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
23.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	1079
1	1315	875
2	5001	837

prune341.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`pow1`
14×	`add-cube-cbrt` `associate-l` `prod-exp` `cbrt-unprod`
13×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `pow-plus` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 119

Calls

4 calls:

11.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
26.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
5.0ms	(/ 2.0 (* r r))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
59.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
23.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify69.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	604	1050
1	2763	834
2	5001	822

prune416.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
63×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
37×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`associate-l` `associate-/l*`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
7×	`div-inv`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
26.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
6.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
55.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
28.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify85.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	812	1413
1	3631	1178
2	5001	1163

prune533.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s

17078×

body

valid