Details

Time bar (total: 5.0s)

sample289.0ms

Algorithm
intervals
Results
27.0ms523×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.9b
(* (* (* w w) r) r)
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0b
(* (* w w) r)

rewrite221.0ms

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:
82.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
26.0ms
(* (* (* w w) r) r)
95.0ms
(/ (* (* 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)
73.0ms
(/ (* (* 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 (89.0ms)

IterNodesCost
06701303
13876935
25003931

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
3.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite45.0ms

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
(/ 2.0 (* r r))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
15.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
20.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series138.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
38.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
63.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify73.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05591085
12754841
25001821

prune369.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b
(/ 2.0 (* r r))
0.4b
(pow (fabs (* w r)) 2)
3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite52.0ms

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:
8.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms
(/ 2.0 (* r r))
1.0ms
(pow (fabs (* w r)) 2)
32.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series140.0ms

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)))

simplify95.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07881794
135911581
250011581

prune615.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (fabs (* w r)) (- 1.0 v))
0.3b
(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
0.4b
(/ 2.0 (* r r))
3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×*-un-lft-identity
37×add-exp-log add-cbrt-cube
34×times-frac
26×add-cube-cbrt
22×associate-*r*
18×pow1
16×prod-exp cbrt-unprod
9×associate-*r/ pow-prod-down
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
4×flip3-- associate-*l* associate-/r/ flip-- add-log-exp
3×div-inv
2×frac-times frac-2neg associate-*l/ clear-num *-commutative unswap-sqr
Counts
4 → 129
Calls
4 calls:
5.0ms
(/ (fabs (* w r)) (- 1.0 v))
16.0ms
(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
3.0ms
(/ 2.0 (* r r))
25.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (fabs (* w r)) (- 1.0 v))
40.0ms
(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
28.0ms
(/ 2.0 (* r r))
56.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

simplify80.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06511399
129881144
250011131

prune421.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample1.2s

Algorithm
intervals
Results
887.0ms17244×body80valid