Details

Time bar (total: 7.8s)

sample294.0ms

Algorithm
intervals
Results
30.0ms551×body80valid

simplify933.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
02229
15129
215029
358828
4269428
done500028

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.9b
(/ 2.0 (* r r))
7.0b
(* (* (* w w) r) r)
7.4b
(* (* w w) r)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
20×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×pow-prod-down
9×associate-*r*
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp unswap-sqr
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv
Counts
4 → 99
Calls
4 calls:
8.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms
(/ 2.0 (* r r))
25.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series143.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms
(/ 2.0 (* r r))
31.0ms
(* (* (* w w) r) r)
30.0ms
(* (* w w) r)

simplify693.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01681039
13911020
21620854
done5000854

prune355.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.9b
(/ 2.0 (* r r))
7.0b
(* (* w (* w r)) r)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
20×pow1
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×pow-prod-down
7×associate-*r* associate-*l*
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv unswap-sqr
Counts
4 → 98
Calls
4 calls:
6.0ms
(* w (* w r))
8.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms
(/ 2.0 (* r r))
19.0ms
(* (* w (* w r)) r)

series133.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* w (* w r))
59.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms
(/ 2.0 (* r r))
32.0ms
(* (* w (* w r)) r)

simplify668.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01691030
13991013
21590843
done5000843

prune354.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)
0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.9b
(/ 2.0 (* r r))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×pow1 add-exp-log add-cbrt-cube
6×associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac swap-sqr prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp pow-prod-down *-commutative unswap-sqr
1×pow2 flip3-- frac-2neg pow-plus clear-num associate-/r* pow-sqr pow-prod-up flip-- fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series176.0ms

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)
59.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))

simplify556.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
01781342
13821188
214511027
done50001027

prune389.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 (* r r)) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0b
(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.9b
(/ 2.0 (* r r))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×times-frac
11×pow1 add-exp-log add-cbrt-cube
7×fma-neg
6×add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef difference-of-squares
1×pow2 sub-neg flip3-- frac-2neg pow-plus diff-log pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up flip-- associate--r+ distribute-lft-out-- unswap-sqr
Counts
4 → 106
Calls
4 calls:
13.0ms
(- (/ 2.0 (* r r)) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0ms
(fma (/ (- 0.375 (* 0.25 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))

series182.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (/ 2.0 (* r r)) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
69.0ms
(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
29.0ms
(/ 2.0 (* r r))

simplify628.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
01784879
14152979
214522390
done50012390

prune366.0ms

Pruning

13 alts after pruning (13 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

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
12428
done2428

end0.0ms

sample1.3s

Algorithm
intervals
Results
920.0ms16980×body80valid