Details

Time bar (total: 21.2s)

sample228.0ms

Algorithm
intervals
Results
76.0ms537×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
02229
15129
215229
366428
4356128
done500028

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.8b
(/ 2.0 (* r r))
6.9b
(* (* (* w w) r) r)
10.7b
(* (* w w) r)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×*-un-lft-identity add-cube-cbrt
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×clear-num associate-/r* frac-2neg 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)
13.0ms
(/ 2.0 (* r r))
86.0ms
(* (* (* w w) r) r)
16.0ms
(* (* w w) r)

series274.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
49.0ms
(/ 2.0 (* r r))
42.0ms
(* (* (* w w) r) r)
45.0ms
(* (* w w) r)

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0128982
1342962
22479812
done5001798

prune657.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

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))
0.2b
(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)))
0.8b
(/ 2.0 (* r r))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×add-sqr-sqrt
18×add-cube-cbrt
12×prod-diff
11×pow1 add-cbrt-cube add-exp-log
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 clear-num associate-/r* sum-log sub-neg frac-2neg pow-plus flip3-- pow-prod-down associate--l+ pow-sqr *-commutative pow-prod-up div-inv flip-- associate--r+ difference-of-squares unswap-sqr
Counts
4 → 96
Calls
4 calls:
89.0ms
(- (+ 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)
10.0ms
(* (fabs (* w r)) (fabs (* w r)))
12.0ms
(/ 2.0 (* r r))

series325.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(- (+ 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))
133.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
16.0ms
(* (fabs (* w r)) (fabs (* w r)))
42.0ms
(/ 2.0 (* r r))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01803903
14472897
225942176
done50012116

prune670.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize59.0ms

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))
0.2b
(/ (/ 2.0 r) r)
0.2b
(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)))

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
71×*-un-lft-identity
62×add-sqr-sqrt
58×add-cube-cbrt
13×associate-/l*
12×prod-diff
11×pow1 add-cbrt-cube add-exp-log
9×add-log-exp
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×cbrt-undiv associate-/r* swap-sqr div-exp associate-*r* associate-*l*
2×diff-log fma-udef distribute-lft-out--
1×pow2 clear-num sum-log sub-neg frac-2neg pow-plus flip3-- pow-prod-down prod-exp associate--l+ pow-sqr *-commutative pow-prod-up cbrt-unprod flip-- associate--r+ difference-of-squares unswap-sqr associate-/l/
Counts
4 → 145
Calls
4 calls:
302.0ms
(- (+ 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))
14.0ms
(/ (/ 2.0 r) r)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
11.0ms
(* (fabs (* w r)) (fabs (* w r)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(- (+ 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))
48.0ms
(/ (/ 2.0 r) r)
92.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
12.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify2.1s

Counts
157 → 157
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02774580
16753531
235422935
done50012717

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

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 (* r w)) 2))) 4.5)
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* r w)) 2))
0.4b
(pow (fabs (* r w)) 2)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
66×*-un-lft-identity
60×add-cube-cbrt
34×add-exp-log
18×add-cbrt-cube
13×prod-diff associate-/l* add-log-exp
12×prod-exp
11×associate-*l*
9×div-exp
8×associate-*r* associate--l+
7×unpow-prod-down
6×div-inv
5×pow1 cbrt-undiv diff-log
4×expm1-log1p-u pow-to-exp pow-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×pow-unpow associate-/r* fma-neg unpow2 sqr-pow
2×sub-neg flip3-- associate-/r/ flip-- distribute-lft-out-- difference-of-squares
1×associate--l- clear-num sum-log pow-pow frac-2neg associate-*l/ *-commutative distribute-lft-out associate-/l/
Counts
4 → 176
Calls
4 calls:
993.0ms
(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* r w)) 2))) 4.5)
20.0ms
(/ (/ 2.0 r) r)
63.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* r w)) 2))
4.0ms
(pow (fabs (* r w)) 2)

series276.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* r w)) 2))) 4.5)
50.0ms
(/ (/ 2.0 r) r)
84.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* r w)) 2))
10.0ms
(pow (fabs (* r w)) 2)

simplify2.1s

Counts
188 → 188
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03593982
19233747
244043285
done50003281

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes614.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02345
12845
done2845

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.4s17358×body80valid