Details

Time bar (total: 4.7s)

sample308.0ms

Algorithm
intervals
Results
29.0ms537×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize28.0ms

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)
0.7b
(/ 2.0 (* r r))
6.9b
(* (* (* w w) r) r)
13.7b
(* (* w w) r)

rewrite40.0ms

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)
3.0ms
(/ 2.0 (* r r))
24.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series193.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
25.0ms
(/ 2.0 (* r r))
37.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0320459
11457382
25001374

prune278.0ms

Pruning

13 alts after pruning (13 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)
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.7b
(/ 2.0 (* r r))

rewrite14.0ms

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:
3.0ms
(- (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)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series192.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
78.0ms
(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)))
25.0ms
(/ 2.0 (* r r))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03781079
11315875
25001839

prune359.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (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)
0.2b
(/ (/ 2.0 r) r)
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
61×add-sqr-sqrt
59×*-un-lft-identity
57×add-cube-cbrt
13×associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×prod-diff
6×add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv fma-neg swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×fma-udef
1×pow2 sub-neg flip3-- frac-2neg pow-plus diff-log pow-prod-down prod-exp associate--l+ clear-num pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 138
Calls
4 calls:
3.0ms
(- (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)
6.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
77.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
24.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify62.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05861442
121621219
250011199

prune529.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
56×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
31×add-exp-log add-cbrt-cube
15×pow1
14×associate-*l*
13×associate-/l*
12×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×div-inv
4×associate-*r* pow-prod-down
3×expm1-log1p-u swap-sqr associate-/r* log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative unswap-sqr
1×pow2 flip3-- frac-2neg pow-plus associate-*l/ clear-num pow-sqr pow-prod-up flip-- associate-/l/ distribute-lft-out-- difference-of-squares
Counts
3 → 137
Calls
3 calls:
23.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
5.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series92.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
28.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify70.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06751170
12921968
25001952

prune427.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes400.0ms

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
02930
12930

end0.0ms

sample1.2s

Algorithm
intervals
Results
895.0ms17044×body80valid