Details

Time bar (total: 20.4s)

sample295.0ms

Algorithm
intervals
Results
74.0ms523×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (180.0ms)

IterNodesCost
02229
15129
215229
364128
4296128
done500028

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize25.0ms

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)
0.9b
(/ 2.0 (* r r))
4.4b
(* (* (* w w) r) r)
8.6b
(* (* w w) r)

rewrite131.0ms

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)
9.0ms
(/ 2.0 (* r r))
82.0ms
(* (* (* w w) r) r)
36.0ms
(* (* w w) r)

series272.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
35.0ms
(/ 2.0 (* r r))
64.0ms
(* (* (* w w) r) r)
36.0ms
(* (* w w) r)

simplify3.0s

Counts
89 → 89
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0128982
1293962
21009802
33247766
done5000758

prune463.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 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)))
0.9b
(/ 2.0 (* r r))

rewrite229.0ms

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:
210.0ms
(- (+ 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)
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))

series296.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (+ 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))
108.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
17.0ms
(* (fabs (* w r)) (fabs (* w r)))
30.0ms
(/ 2.0 (* r r))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01783903
13952614
211562171
done50001845

prune528.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite408.0ms

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-exp-log add-cbrt-cube
9×add-log-exp
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×diff-log fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down prod-exp associate--l+ clear-num sum-log pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ associate--r+ difference-of-squares unswap-sqr
Counts
4 → 145
Calls
4 calls:
364.0ms
(- (+ 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))
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
23.0ms
(/ (/ 2.0 r) r)
15.0ms
(* (fabs (* w r)) (fabs (* w r)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- (+ 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))
126.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
28.0ms
(/ (/ 2.0 r) r)
10.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify1.3s

Counts
157 → 157
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02754580
16023245
215632776
done50002438

prune762.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 3.0 (/ (/ 2.0 r) r)) (+ (* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) 4.5))
0.1b
(* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
75×*-un-lft-identity
70×add-sqr-sqrt
60×add-cube-cbrt
34×add-exp-log
18×add-cbrt-cube
16×add-log-exp
13×associate-/l*
12×prod-diff prod-exp
11×associate-*r*
9×div-exp
8×associate-*l*
7×unpow-prod-down
6×div-inv
5×pow1 cbrt-undiv distribute-lft-out
4×expm1-log1p-u pow-to-exp flip3-+ fma-neg diff-log pow-exp sum-log frac-sub cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
3×pow-unpow associate-/r* distribute-lft-out-- unpow2 sqr-pow
2×flip3-- associate-/r/ flip-- difference-of-squares
1×sub-neg pow-pow frac-2neg associate-*r/ associate--l+ clear-num *-commutative associate-/l/ associate--r+
Counts
4 → 180
Calls
4 calls:
431.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (+ (* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) 4.5))
73.0ms
(* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
17.0ms
(/ (/ 2.0 r) r)
5.0ms
(pow (fabs (* w r)) 2)

series392.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (+ (* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) 4.5))
138.0ms
(* (pow (fabs (* w r)) 2) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
52.0ms
(/ (/ 2.0 r) r)
17.0ms
(pow (fabs (* w r)) 2)

simplify2.1s

Counts
192 → 192
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03875714
19834556
233524010
done50003949

prune829.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes347.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02635
13335
done3335

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.4s17118×body80valid