Details

sample292.0ms

Algorithm

intervals

Results

28.0ms

532×

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: 11.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.2b	(* (* (* w w) r) r)
6.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.5b	(* (* w w) r)

rewrite217.0ms

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:

80.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
26.0ms	(* (* (* w w) r) r)
94.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms	(* (* w w) r)

series215.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
32.0ms	(* (* (* w w) r) r)
74.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
26.0ms	(* (* w w) r)

simplify101.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (88.0ms)

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

prune289.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 2.0 (* r r))
4.2b	(* (* (* w w) r) r)
5.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
8.5b	(* (* w w) r)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

3.0ms	(/ 2.0 (* r r))
24.0ms	(* (* (* w w) r) r)
86.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
8.0ms	(* (* w w) r)

series148.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* r r))
34.0ms	(* (* (* w w) r) r)
71.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
18.0ms	(* (* w w) r)

simplify99.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	707	1007
1	3981	740
2	5002	736

prune295.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
5.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
61.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify80.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	599	1138
1	3030	904
2	5002	889

prune383.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
5.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

8.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
27.0ms	(/ (/ 2.0 r) r)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
55.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify94.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	807	1501
1	3892	1248
2	5002	1234

prune480.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	30
1	29	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

872.0ms

17104×

body

valid