Details

Time bar (total: 4.8s)

sample384.0ms

Algorithm
intervals
Results
52.0ms576×body80valid

simplify85.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113
done500113

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize19.0ms

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))
5.9b
(* (* (* w w) r) r)
11.2b
(* (* w w) r)

rewrite91.0ms

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:
2.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms
(/ 2.0 (* r r))
58.0ms
(* (* (* w w) r) r)
20.0ms
(* (* w w) r)

series201.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
27.0ms
(/ 2.0 (* r r))
34.0ms
(* (* (* w w) r) r)
28.0ms
(* (* w w) r)

simplify45.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0320459
11457382
25001374
done5001374

prune261.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
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))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
11×pow1
8×times-frac
6×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num associate-/r/ flip-- div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 91
Calls
4 calls:
22.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms
(* (fabs (* w r)) (fabs (* w r)))
7.0ms
(/ 2.0 (* r r))

series169.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
81.0ms
(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)))
28.0ms
(/ 2.0 (* r r))

simplify50.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0484688
12000586
25001573
done5001573

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
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)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
58×add-sqr-sqrt
56×*-un-lft-identity
52×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
11×pow1
8×associate-/r*
6×div-inv
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* associate-/l/
2×flip3-- frac-2neg associate-*r/ prod-exp clear-num associate-/r/ flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 140
Calls
4 calls:
22.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
10.0ms
(/ (/ 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)
9.0ms
(* (fabs (* w r)) (fabs (* w r)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
28.0ms
(/ (/ 2.0 r) r)
85.0ms
(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)))

simplify67.0ms

Counts
152 → 152
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06921051
12867930
25002913
done5002913

prune489.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (expm1 (log1p (/ (* 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))
0.6b
(expm1 (log1p (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow2 expm1-log1p frac-2neg pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up fma-udef div-inv expm1-udef unswap-sqr
Counts
4 → 71
Calls
4 calls:
0.0ms
(fma (expm1 (log1p (/ (* 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)))
7.0ms
(/ 2.0 (* r r))
0.0ms
(expm1 (log1p (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(fma (expm1 (log1p (/ (* 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)))
28.0ms
(/ 2.0 (* r r))
163.0ms
(expm1 (log1p (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))

simplify36.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0334601
11241507
25001480
done5001480

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes197.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
12617
done2617

end0.0ms

sample1.3s

Algorithm
intervals
Results
855.0ms17085×body80valid