Details

sample302.0ms

Algorithm

intervals

Results

28.0ms

509×

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
4.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(* (* (* w w) r) r)
9.8b	(* (* w w) r)

rewrite465.0ms

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:

188.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
182.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
58.0ms	(* (* (* w w) r) r)
30.0ms	(* (* w w) r)

series195.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
78.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
28.0ms	(* (* (* w w) r) r)
24.0ms	(* (* w w) r)

simplify100.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	670	1303
1	3871	935
2	5002	931

prune270.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.8b	(/ 2.0 (* r r))
3.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))
4.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))

rewrite107.0ms

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:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))
48.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))
41.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
52.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))
40.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	559	1085
1	2751	841
2	5001	821

prune343.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.3b	(pow (fabs (* w r)) 2)
0.5b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
0.8b	(/ 2.0 (* r r))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

924×	`times-frac`
381×	`add-sqr-sqrt` `*-un-lft-identity`
299×	`add-cube-cbrt`
171×	`unpow-prod-down`
119×	`add-exp-log`
101×	`associate-/r*`
83×	`associate-/r/`
82×	`associate-*r/` `div-exp`
57×	`unpow2` `sqr-pow`
48×	`div-inv`
41×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
17×	`associate-/l*`
16×	`cbrt-undiv`
13×	`pow-to-exp` `pow-exp` `prod-exp`
10×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`div-sub`
1×	`pow-flip` `pow-pow` `associate-/l/` `inv-pow`

Counts

4 → 588

Calls

4 calls:

34.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms	(pow (fabs (* w r)) 2)
52.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
8.0ms	(/ 2.0 (* r r))

series139.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
7.0ms	(pow (fabs (* w r)) 2)
56.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
23.0ms	(/ 2.0 (* r r))

simplify128.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2103	9956
1	5001	9027

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (pow (fabs (* w r)) 2))
0.3b	(pow (fabs (* w r)) 2)
0.5b	(/ (/ 1 (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (/ 1 (pow (fabs (* w r)) 2)))
0.8b	(/ 2.0 (* r r))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

3419×	`times-frac`
1306×	`add-sqr-sqrt` `*-un-lft-identity`
1132×	`add-cube-cbrt`
366×	`unpow-prod-down`
339×	`add-exp-log`
288×	`div-exp`
204×	`associate-/r/`
174×	`associate-*r/`
158×	`div-inv`
122×	`unpow2` `sqr-pow`
87×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
63×	`rec-exp` `1-exp`
44×	`associate-/l*`
43×	`add-cbrt-cube`
37×	`associate-/r*`
34×	`pow-to-exp` `pow-exp`
31×	`prod-exp`
25×	`cbrt-undiv`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
1×	`pow-flip` `pow-pow` `associate-/l/` `inv-pow`

Counts

4 → 1346

Calls

4 calls:

9.0ms	(/ 1 (pow (fabs (* w r)) 2))
3.0ms	(pow (fabs (* w r)) 2)
76.0ms	(/ (/ 1 (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (/ 1 (pow (fabs (* w r)) 2)))
10.0ms	(/ 2.0 (* r r))

series109.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1 (pow (fabs (* w r)) 2))
7.0ms	(pow (fabs (* w r)) 2)
54.0ms	(/ (/ 1 (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (/ 1 (pow (fabs (* w r)) 2)))
32.0ms	(/ 2.0 (* r r))

simplify285.0ms

Algorithm

egg-herbie

Counts

1358 → 1358

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5002	29308

prune4.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes210.0ms

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	31	15
1	31	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

903.0ms

16975×

body

valid