Details

Time bar (total: 4.7s)

sample297.0ms

Algorithm
intervals
Results
29.0ms508×body80valid

simplify85.0ms

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: 9.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.4b
(/ 2.0 (* r r))
8.4b
(* (* (* w w) r) r)
8.8b
(* (* w w) r)

rewrite41.0ms

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)
11.0ms
(* (* 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)
24.0ms
(/ 2.0 (* r r))
39.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0320459
11457382
25001374

prune262.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

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)
0.3b
(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)))
0.4b
(/ 2.0 (* r r))

rewrite12.0ms

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))

series197.0ms

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)
79.0ms
(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)))
28.0ms
(/ 2.0 (* r r))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03781079
11315875
25001837

prune335.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

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)
0.2b
(/ (/ 2.0 r) r)
0.3b
(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)))

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)
5.0ms
(/ (/ 2.0 r) r)
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)))

series194.0ms

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)
26.0ms
(/ (/ 2.0 r) r)
77.0ms
(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)))

simplify64.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05861442
121621219
250011199

prune501.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
0.3b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(/ 2.0 (* r r))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×add-exp-log add-cbrt-cube
31×*-un-lft-identity
27×add-cube-cbrt
21×times-frac prod-diff
16×pow1
14×associate-*l*
13×prod-exp cbrt-unprod add-log-exp
7×fma-neg
6×cbrt-undiv div-exp div-inv
4×expm1-log1p-u diff-log associate-*r* pow-prod-down frac-sub log1p-expm1-u
3×flip3-- swap-sqr associate-*l/ flip-- associate-/l* difference-of-squares
2×frac-add sum-log associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×pow2 associate-+r- sub-neg frac-2neg flip3-+ pow-plus clear-num associate-/r* pow-sqr pow-prod-up flip-+ associate--r+ associate--r-
Counts
4 → 141
Calls
4 calls:
89.0ms
(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
23.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series178.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
59.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))

simplify126.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08923307
141191978
250011951

prune432.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.2b 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
02816
12816

end0.0ms

sample1.3s

Algorithm
intervals
Results
943.0ms17309×body80valid