Details

sample387.0ms

Algorithm

intervals

Results

54.0ms

582×

body

valid

simplify83.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize19.0ms

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)
0.4b	(/ 2.0 (* r r))
7.0b	(* (* (* w w) r) r)
8.0b	(* (* w w) r)

rewrite98.0ms

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)
10.0ms	(/ 2.0 (* r r))
63.0ms	(* (* (* w w) r) r)
21.0ms	(* (* w w) r)

series198.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
26.0ms	(/ 2.0 (* r r))
33.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

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

prune281.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 (* r r)) (- (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)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

46.0ms	(- (/ 2.0 (* r r)) (- (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)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))

series207.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (/ 2.0 (* r r)) (- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
85.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))

simplify82.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	621	4025
1	2232	2672
2	5001	2289

prune461.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ 2.0 (* r r)))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`times-frac`
6×	`associate-/r*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`flip3--` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `unpow2` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

23.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ 2.0 (* r r)))
5.0ms	(pow (fabs (* w r)) 2)
8.0ms	(/ 2.0 (* r r))

series222.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
141.0ms	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ 2.0 (* r r)))
8.0ms	(pow (fabs (* w r)) 2)
25.0ms	(/ 2.0 (* r r))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	476	648
1	1854	560
2	5001	558

prune391.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.1b	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ (/ 2.0 r) r))
0.2b	(/ (/ 2.0 r) r)
0.4b	(pow (fabs (* w r)) 2)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`add-cube-cbrt`
15×	`add-exp-log`
14×	`add-cbrt-cube` `associate-/l*`
8×	`associate-/r*`
6×	`div-inv`
5×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/l/`
2×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `prod-exp` `cbrt-unprod` `fma-udef` `unpow2` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

27.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ (/ 2.0 r) r))
11.0ms	(/ (/ 2.0 r) r)
3.0ms	(pow (fabs (* w r)) 2)

series219.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
138.0ms	(fma (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (pow (fabs (* w r)) 2) (/ (/ 2.0 r) r))
25.0ms	(/ (/ 2.0 r) r)
9.0ms	(pow (fabs (* w r)) 2)

simplify64.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	686	1011
1	2805	904
2	5001	896

prune501.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

0% (0.3b 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	29	16
1	29	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

877.0ms

17173×

body

valid