Details

Time bar (total: 20.0s)

sample340.0ms

Algorithm
intervals
Results
164.0ms578×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
02229
15129
215229
364128
4296128
done500028

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize45.0ms

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))
5.1b
(* (* (* w w) r) r)
10.6b
(* (* w w) r)

rewrite148.0ms

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:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
11.0ms
(/ 2.0 (* r r))
87.0ms
(* (* (* w w) r) r)
42.0ms
(* (* w w) r)

series304.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
46.0ms
(/ 2.0 (* r r))
62.0ms
(* (* (* w w) r) r)
34.0ms
(* (* w w) r)

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0128982
1293962
21009802
33247766
done5000758

prune511.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×add-sqr-sqrt
18×add-cube-cbrt
12×prod-diff
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
5×distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×times-frac swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down associate--l+ clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-- div-inv associate--r+ difference-of-squares unswap-sqr
Counts
4 → 96
Calls
4 calls:
193.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0ms
(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)))
9.0ms
(/ 2.0 (* r r))

series334.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
144.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms
(* (fabs (* w r)) (fabs (* w r)))
45.0ms
(/ 2.0 (* r r))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01783903
13952614
211562171
done50001845

prune550.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
0.1b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))

rewrite955.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
20×add-cube-cbrt
18×add-cbrt-cube
13×prod-diff prod-exp add-log-exp
11×associate-*l*
8×times-frac div-exp associate-*r* associate--l+
7×unpow-prod-down
5×pow1 diff-log cbrt-unprod
4×cbrt-undiv expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u unswap-sqr
3×pow-unpow fma-neg associate-/l* unpow2 sqr-pow
2×sub-neg flip3-- associate-/r/ flip-- div-inv distribute-lft-out-- difference-of-squares
1×associate--l- pow-pow frac-2neg associate-*l/ clear-num associate-/r* sum-log *-commutative distribute-lft-out
Counts
4 → 127
Calls
4 calls:
815.0ms
(- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
107.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
5.0ms
(pow (fabs (* w r)) 2)
15.0ms
(/ 2.0 (* r r))

series295.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
92.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
17.0ms
(pow (fabs (* w r)) 2)
50.0ms
(/ 2.0 (* r r))

simplify1.5s

Counts
139 → 139
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02623305
16143085
218952708
done50012462

prune659.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (fabs (* w r)))) (sqrt (pow (fabs (* w r)) 2)))
0.4b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))
9.9b
(sqrt (pow (fabs (* w r)) 2))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
16×sqrt-prod
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×pow1 unpow-prod-down
9×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp log1p-expm1-u unpow2 add-log-exp sqr-pow
3×pow-unpow times-frac pow-prod-down associate-/l*
2×associate-*l/
1×pow-to-exp pow-pow frac-2neg sqrt-pow1 pow1/2 associate-*l* pow-exp clear-num associate-/r* *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
232.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (fabs (* w r)))) (sqrt (pow (fabs (* w r)) 2)))
17.0ms
(pow (fabs (* w r)) 2)
17.0ms
(/ 2.0 (* r r))
5.0ms
(sqrt (pow (fabs (* w r)) 2))

series157.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (fabs (fabs (* w r)))) (sqrt (pow (fabs (* w r)) 2)))
9.0ms
(pow (fabs (* w r)) 2)
55.0ms
(/ 2.0 (* r r))
5.0ms
(sqrt (pow (fabs (* w r)) 2))

simplify1.4s

Counts
111 → 111
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01881875
14571724
215661256
done50001229

prune651.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes691.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02635
13235
done3235

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.1s17037×body80valid