Details

Time bar (total: 10.2s)

sample364.0ms

Algorithm
intervals
Results
97.0ms552×body80valid

simplify81.0ms

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: 11.4b

localize20.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.3b
(* (* (* w w) r) r)
5.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0b
(* (* w w) r)

rewrite206.0ms

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:
78.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
23.0ms
(* (* (* w w) r) r)
88.0ms
(/ (* (* 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:
82.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
35.0ms
(* (* (* w w) r) r)
68.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
29.0ms
(* (* w w) r)

simplify99.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune275.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
1.0b
(/ 2.0 (* r r))
2.9b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite47.0ms

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)))
3.0ms
(/ 2.0 (* r r))
15.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
22.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series131.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))
42.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
58.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05591085
12754841
25001821

prune365.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(pow (fabs (* w r)) 2)
0.4b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
1.0b
(/ 2.0 (* r r))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
791×times-frac
325×add-sqr-sqrt
323×*-un-lft-identity
259×add-cube-cbrt
135×unpow-prod-down
97×add-exp-log
93×associate-/r*
67×div-exp
66×associate-*r/
65×associate-/r/
45×unpow2 sqr-pow
38×div-inv
33×flip3-- flip--
32×distribute-lft-out-- difference-of-squares
25×add-cbrt-cube
11×cbrt-undiv prod-exp
10×pow-to-exp rec-exp 1-exp pow-exp
8×pow1
6×associate-/l*
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-pow pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 481
Calls
4 calls:
7.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
1.0ms
(pow (fabs (* w r)) 2)
34.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
3.0ms
(/ 2.0 (* r r))

series157.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
8.0ms
(pow (fabs (* w r)) 2)
58.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
32.0ms
(/ 2.0 (* r r))

simplify110.0ms

Algorithm
egg-herbie
Counts
493 → 493
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020467938
150017109

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.4b
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))
1.0b
(/ 2.0 (* r r))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
1974×times-frac
1012×add-sqr-sqrt *-un-lft-identity
766×add-cube-cbrt
321×unpow-prod-down
181×associate-/r*
123×distribute-lft-out-- difference-of-squares
107×unpow2 sqr-pow
83×associate-/r/
72×add-exp-log
52×div-exp
48×div-inv
41×flip3-- flip--
27×associate-/l*
23×add-cbrt-cube
11×cbrt-undiv
9×pow-to-exp pow-exp
7×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num
2×div-sub
1×pow-flip pow-pow prod-exp cbrt-unprod associate-/l/ inv-pow
Counts
4 → 984
Calls
4 calls:
18.0ms
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
1.0ms
(pow (fabs (* w r)) 2)
45.0ms
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))
3.0ms
(/ 2.0 (* r r))

series145.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
60.0ms
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))
25.0ms
(/ 2.0 (* r r))

simplify208.0ms

Algorithm
egg-herbie
Counts
996 → 996
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0311918368
1500217169

prune2.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes307.0ms

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)

IterNodesCost
03014
13014

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.8s17077×body80valid