Details

Time bar (total: 19.4s)

sample162.0ms

Algorithm
intervals
Results
91.0ms561×body80valid

simplify1.4s

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize34.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.6b
(* (* (* w w) r) r)
6.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.5b
(* (* w w) r)

rewrite848.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
50×pow1
33×pow-prod-down
13×add-sqr-sqrt
12×*-un-lft-identity
9×cbrt-undiv div-exp
8×add-cube-cbrt
7×associate-*r*
5×times-frac associate-/r*
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls
4 calls:
330.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
95.0ms
(* (* (* w w) r) r)
358.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
49.0ms
(* (* w w) r)

series334.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
41.0ms
(* (* (* w w) r) r)
114.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
49.0ms
(* (* w w) r)

simplify1.9s

Counts
131 → 131

prune391.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.7b
(/ 2.0 (* r r))
2.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
18×add-sqr-sqrt prod-exp cbrt-unprod
16×*-un-lft-identity
12×add-cube-cbrt
9×pow-prod-down
8×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/l* add-log-exp
3×flip3-- swap-sqr flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 105
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
9.0ms
(/ 2.0 (* r r))
84.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
91.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series266.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (fabs (* w r)) (fabs (* w r)))
54.0ms
(/ 2.0 (* r r))
78.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
124.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.2s

Counts
117 → 117

prune560.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.3b
(pow (fabs (* w r)) 2)
0.7b
(/ 2.0 (* r r))
5.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
83×times-frac
82×add-sqr-sqrt *-un-lft-identity
48×add-cube-cbrt
46×associate-*r*
39×add-exp-log
36×unpow-prod-down
23×add-cbrt-cube
17×distribute-lft-out-- difference-of-squares
13×prod-exp
12×unpow2 sqr-pow
11×div-exp associate-/l*
10×pow1
7×cbrt-unprod
6×associate-/r*
5×cbrt-undiv associate-*r/
4×pow-to-exp flip3-- pow-exp associate-/r/ flip-- add-log-exp
3×pow-unpow pow-prod-down div-inv
2×frac-times frac-2neg associate-*l/ clear-num
1×pow-pow associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
18.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms
(pow (fabs (* w r)) 2)
14.0ms
(/ 2.0 (* r r))
79.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
15.0ms
(pow (fabs (* w r)) 2)
56.0ms
(/ 2.0 (* r r))
83.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify1.6s

Counts
194 → 194

prune989.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sqrt (fabs (* w r))) 2)
0.7b
(/ 2.0 (* r r))
3.3b
(sqrt (fabs (* w r)))
5.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
26×add-cbrt-cube
15×associate-*r*
13×add-sqr-sqrt
12×pow1 add-cube-cbrt cbrt-div *-un-lft-identity prod-exp cbrt-unprod
8×flip3-- associate-/r/ flip--
7×associate-*r/
6×cbrt-undiv frac-times unpow-prod-down times-frac div-exp sqrt-prod
4×associate-*l/ add-log-exp
3×pow-unpow pow-pow pow-prod-down associate-/l*
2×sqrt-pow1 pow1/2 div-inv
1×pow-to-exp rem-sqrt-square frac-2neg associate-*l* pow-exp clear-num associate-/r* *-commutative sqrt-pow2 unpow2 sqr-pow
Counts
4 → 101
Calls
4 calls:
8.0ms
(pow (sqrt (fabs (* w r))) 2)
19.0ms
(/ 2.0 (* r r))
2.0ms
(sqrt (fabs (* w r)))
123.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

series552.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (sqrt (fabs (* w r))) 2)
36.0ms
(/ 2.0 (* r r))
11.0ms
(sqrt (fabs (* w r)))
476.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

simplify1.5s

Counts
113 → 113

prune569.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes330.0ms

Accuracy

-1600.6% (6.9b remaining)

Error of 7.0b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0s

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.2s16848×body80valid