Details

Time bar (total: 4.4s)

sample294.0ms

Algorithm
intervals
Results
26.0ms509×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.8b
(/ 2.0 (* r r))
5.5b
(* (* (* w w) r) r)
9.8b
(* (* w w) r)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms
(/ 2.0 (* r r))
57.0ms
(* (* (* w w) r) r)
20.0ms
(* (* w w) r)

series172.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
26.0ms
(/ 2.0 (* r r))
29.0ms
(* (* (* w w) r) r)
24.0ms
(* (* w w) r)

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0320459
11457382
25001374

prune271.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
11×pow1 add-exp-log add-cbrt-cube
9×prod-diff
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×times-frac fma-neg swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef
1×pow2 sub-neg flip3-- frac-2neg pow-plus diff-log pow-prod-down associate--l+ clear-num associate-/r* pow-sqr *-commutative pow-prod-up flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
7.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))

series183.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
74.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
26.0ms
(/ 2.0 (* r r))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03781079
11315875
25001837

prune331.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×pow1
14×associate-*l*
13×*-un-lft-identity prod-exp cbrt-unprod
11×add-cube-cbrt
8×times-frac
6×cbrt-undiv div-exp
4×associate-*r* pow-prod-down
3×expm1-log1p-u swap-sqr log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ *-commutative div-inv unswap-sqr
1×pow2 flip3-- frac-2neg pow-plus associate-*l/ clear-num associate-/r* pow-sqr pow-prod-up flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
53.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))

series86.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
22.0ms
(/ 2.0 (* r r))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0467807
12076624
25001610

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
13×add-sqr-sqrt prod-exp cbrt-unprod
12×associate-*l*
11×*-un-lft-identity
10×pow1
9×add-cube-cbrt
8×times-frac
6×cbrt-undiv div-exp associate-*r*
4×pow-prod-down
3×expm1-log1p-u associate-*l/ log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ *-commutative div-inv
1×flip3-- frac-2neg clear-num associate-/r* flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 81
Calls
3 calls:
41.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (* w r)))
102.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (* w r))) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))

series125.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (* w r)))
54.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (* w r))) (fabs (* w r)))
26.0ms
(/ 2.0 (* r r))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0494897
12161711
25002699

prune255.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes330.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample1.3s

Algorithm
intervals
Results
842.0ms16975×body80valid