Details

sample291.0ms

Algorithm

intervals

Results

28.0ms

528×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	667	14
3	3125	14
4	5002	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(* (* (* w w) r) r)
5.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.8b	(* (* w w) r)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
27.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* w w) r)

series218.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
33.0ms	(* (* (* w w) r) r)
74.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
27.0ms	(* (* w w) r)

simplify101.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	670	1303
1	3876	935
2	5003	931

prune272.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
3.4b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

3.0ms	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
9.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
13.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series132.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))
42.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
57.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify74.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	559	1085
1	2754	841
2	5001	821

prune346.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.3b	(pow (fabs (* w r)) 2)
0.5b	(/ 2.0 (* r r))
5.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`prod-exp`
12×	`unpow2` `sqr-pow`
11×	`div-exp` `associate-/l*`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
8.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify91.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	788	1794
1	3601	1581
2	5002	1581

prune597.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(pow (fabs (* w r)) 2)
5.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
122×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
21×	`associate-/l*`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`div-exp` `prod-exp` `unpow2` `sqr-pow`
10×	`pow1`
8×	`associate-/r*`
7×	`div-inv`
6×	`cbrt-undiv` `cbrt-unprod`
5×	`associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 231

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
24.0ms	(/ (/ 2.0 r) r)
8.0ms	(pow (fabs (* w r)) 2)
62.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify110.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	998	2157
1	4526	1925
2	5002	1925

prune732.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes214.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

887.0ms

16850×

body

valid