Details

Time bar (total: 22.7s)

sample202.0ms

Algorithm
intervals
Results
94.0ms546×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (279.0ms)

IterNodesCost
02229
15129
215229
364128
4296128
done500028

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize58.0ms

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)
0.8b
(/ 2.0 (* r r))
4.8b
(* (* (* w w) r) r)
12.3b
(* (* w w) r)

rewrite169.0ms

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:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
17.0ms
(/ 2.0 (* r r))
102.0ms
(* (* (* w w) r) r)
43.0ms
(* (* w w) r)

series294.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
42.0ms
(/ 2.0 (* r r))
40.0ms
(* (* (* w w) r) r)
47.0ms
(* (* w w) r)

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0128982
1293962
21009802
33247766
done5000758

prune451.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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

rewrite201.0ms

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:
178.0ms
(- (+ 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)))
9.0ms
(/ 2.0 (* r r))

series319.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(- (+ 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))
128.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
13.0ms
(* (fabs (* w r)) (fabs (* w r)))
50.0ms
(/ 2.0 (* r r))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01783903
13952614
211562171
done50001845

prune481.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite450.0ms

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:
395.0ms
(- (+ 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)
25.0ms
(* (fabs (* w r)) (fabs (* w r)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (+ 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))
137.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
41.0ms
(/ (/ 2.0 r) r)
10.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify1.5s

Counts
157 → 157
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02754580
16023245
215632776
done50002438

prune974.0ms

Pruning

15 alts after pruning (15 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)) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
0.1b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)

rewrite1.7s

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 fma-neg associate-/r* unpow2 sqr-pow
2×sub-neg flip3-- associate-/r/ flip-- distribute-lft-out-- difference-of-squares
1×associate--l- pow-pow frac-2neg associate-*l/ clear-num sum-log *-commutative associate-/l/ distribute-lft-out
Counts
4 → 176
Calls
4 calls:
1.6s
(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
62.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
12.0ms
(/ (/ 2.0 r) r)
3.0ms
(pow (fabs (* w r)) 2)

series330.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5)
110.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
41.0ms
(/ (/ 2.0 r) r)
11.0ms
(pow (fabs (* w r)) 2)

simplify2.3s

Counts
188 → 188
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03593982
18223716
222943313
done50003113

prune892.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes734.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02549
13049
done3049

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.9s17113×body80valid