Details

Time bar (total: 7.8s)

sample293.0ms

Algorithm
intervals
Results
32.0ms563×body80valid

simplify881.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
02229
15129
215029
358828
4269428
done500028

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.7b

localize19.0ms

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)
0.2b
(/ 2.0 (* r r))
2.7b
(* (* (* w w) r) r)
12.3b
(* (* w w) r)

rewrite40.0ms

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)
3.0ms
(/ 2.0 (* r r))
24.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series187.0ms

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))
31.0ms
(* (* (* w w) r) r)
30.0ms
(* (* w w) r)

simplify573.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0128982
1312962
21372802
done5000802

prune291.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* r w)) r) 4.5)
0.1b
(* w (* r w))
0.2b
(/ 2.0 (* r r))
2.7b
(* (* w (* r w)) r)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv
Counts
4 → 76
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* r w)) r) 4.5)
6.0ms
(* w (* r w))
3.0ms
(/ 2.0 (* r r))
18.0ms
(* (* w (* r w)) r)

series178.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* r w)) r) 4.5)
17.0ms
(* w (* r w))
24.0ms
(/ 2.0 (* r r))
35.0ms
(* (* w (* r w)) r)

simplify525.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0130973
1315955
21355791
done5000791

prune296.0ms

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
(+ 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)
0.2b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
26×add-sqr-sqrt
24×add-cube-cbrt
23×associate-+r+
21×prod-diff
12×times-frac
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
4×expm1-log1p-u log1p-expm1-u div-inv
3×fma-def swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp sum-log cbrt-unprod distribute-lft-out
1×+-commutative pow2 associate-+r- sub-neg frac-2neg flip3-+ pow-plus diff-log pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up flip-+ fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 103
Calls
4 calls:
24.0ms
(+ 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)
3.0ms
(/ 2.0 (* r r))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ 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)))
81.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
25.0ms
(/ 2.0 (* r r))
12.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify593.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
02003036
14722207
215021969
done50001969

prune407.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(pow (fabs (* w r)) 2)
0.8b
(* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)))
62.1b
(fma (- (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×pow1
18×add-cube-cbrt *-un-lft-identity sqrt-prod
11×swap-sqr
9×add-exp-log associate-*r* associate-*l*
8×sqrt-pow1 pow1/2 add-cbrt-cube
6×pow-prod-up
5×unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
1×pow-to-exp pow-pow sqrt-unprod pow-exp rem-square-sqrt fma-udef unpow2 sqr-pow
Counts
4 → 108
Calls
4 calls:
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
1.0ms
(pow (fabs (* w r)) 2)
9.0ms
(* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)))
0.0ms
(fma (- (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(pow (fabs (* w r)) 2)
81.0ms
(* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)))
458.0ms
(fma (- (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (* (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)) (sqrt (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))))

simplify732.0ms

Counts
120 → 120
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
01464598
12812442
211012130
done50012120

prune454.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02130
12530
done2530

end0.0ms

sample1.3s

Algorithm
intervals
Results
933.0ms17132×body80valid