Details

Time bar (total: 5.2s)

sample289.0ms

Algorithm
intervals
Results
28.0ms548×body80valid

simplify85.0ms

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: 6.9b

localize29.0ms

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)
0.6b
(/ 2.0 (* r r))
6.4b
(* (* (* w w) r) r)
7.1b
(* (* w w) r)

rewrite45.0ms

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)
4.0ms
(/ 2.0 (* r r))
27.0ms
(* (* (* w w) r) r)
11.0ms
(* (* w w) r)

series189.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
24.0ms
(/ 2.0 (* r r))
37.0ms
(* (* (* 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

prune273.0ms

Pruning

11 alts after pruning (11 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)))
0.6b
(/ 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:
4.0ms
(- (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)))
4.0ms
(/ 2.0 (* r r))

series200.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
81.0ms
(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

prune346.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite19.0ms

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:
4.0ms
(- (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)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (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)
27.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify62.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05861442
121621219
250011199

prune507.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

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)))
0.1b
(* (/ (* 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)))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
347×times-frac
249×add-sqr-sqrt
239×*-un-lft-identity
235×add-cube-cbrt
129×prod-diff
43×fma-neg
32×add-exp-log add-cbrt-cube
22×div-inv
16×pow1
14×associate-*l*
13×associate-/l* add-log-exp
12×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
4×expm1-log1p-u diff-log associate-*r* pow-prod-down frac-sub log1p-expm1-u difference-of-squares
3×flip3-- swap-sqr associate-*l/ associate-/r* flip--
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 pow-sqr pow-prod-up flip-+ associate-/l/ associate--r+ associate--r-
Counts
4 → 335
Calls
4 calls:
136.0ms
(- (/ (/ 2.0 r) r) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
27.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
6.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series182.0ms

Counts
4 → 12
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)))
56.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
29.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify114.0ms

Algorithm
egg-herbie
Counts
347 → 347
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0134713333
150026692

prune867.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03119
13119

end0.0ms

sample1.2s

Algorithm
intervals
Results
859.0ms17103×body80valid