Details

Time bar (total: 5.9s)

sample301.0ms

Algorithm
intervals
Results
31.0ms578×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.5b
(* (* (* w w) r) r)
5.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.0b
(* (* 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:
13.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms
(* (* (* w w) r) r)
18.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
17.0ms
(* (* w w) r)

series228.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
34.0ms
(* (* (* w w) r) r)
79.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
27.0ms
(* (* w w) r)

simplify105.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06701303
13876935
25003931

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.3b
(/ (* (* 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:
4.0ms
(/ 2.0 (* r r))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(* (* 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))

series138.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
40.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
65.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify75.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05591085
12754841
25001821

prune369.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.3b
(/ 2.0 (* r r))
0.4b
(pow (fabs (* w r)) 2)
5.8b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
117×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
53×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
19×div-exp
17×unpow2 sqr-pow
9×cbrt-undiv associate-/l*
5×pow1 prod-exp div-inv
4×pow-to-exp pow-exp associate-/l/ add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×flip3-- associate-*r/ flip--
1×pow-pow div-sub associate-/r/
Counts
4 → 223
Calls
4 calls:
7.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
5.0ms
(/ 2.0 (* r r))
4.0ms
(pow (fabs (* w r)) 2)
15.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
25.0ms
(/ 2.0 (* r r))
11.0ms
(pow (fabs (* w r)) 2)
56.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify101.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09712431
141942156
250012156

prune679.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (fabs (* w r)))
0.2b
(/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2)))
0.3b
(/ 2.0 (* r r))
5.8b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
884×times-frac
472×add-sqr-sqrt *-un-lft-identity
332×add-cube-cbrt
174×unpow-prod-down
148×associate-/r*
73×add-exp-log
70×distribute-lft-out-- difference-of-squares
58×sqr-pow
44×div-exp
37×add-cbrt-cube
28×div-inv associate-/l*
18×cbrt-undiv
8×prod-exp
6×pow-to-exp pow-exp
5×associate-/l/
4×pow1 frac-2neg clear-num cbrt-unprod add-log-exp
3×div-sub
2×flip3-- associate-*r/ flip--
1×associate-/r/
Counts
4 → 546
Calls
4 calls:
6.0ms
(/ (- 1.0 v) (fabs (* w r)))
12.0ms
(/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2)))
4.0ms
(/ 2.0 (* r r))
28.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (- 1.0 v) (fabs (* w r)))
33.0ms
(/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2)))
25.0ms
(/ 2.0 (* r r))
64.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (fabs (* w r)) (/ 2 2))))

simplify111.0ms

Algorithm
egg-herbie
Counts
558 → 558
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
022818635
150017519

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03326
13326

end0.0ms

sample1.2s

Algorithm
intervals
Results
893.0ms16898×body80valid