Details

Time bar (total: 21.8s)

sample270.0ms

Algorithm
intervals
Results
67.0ms551×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
02229
15129
215229
364128
4296128
done500028

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize61.0ms

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)
0.5b
(/ 2.0 (* r r))
5.7b
(* (* (* w w) r) r)
9.2b
(* (* w w) r)

rewrite151.0ms

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)
16.0ms
(/ 2.0 (* r r))
100.0ms
(* (* (* w w) r) r)
29.0ms
(* (* w w) r)

series282.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
49.0ms
(/ 2.0 (* r r))
59.0ms
(* (* (* w w) r) r)
31.0ms
(* (* w w) r)

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0128982
1293962
21009802
33247766
done5000758

prune453.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)))
0.5b
(/ 2.0 (* r r))

rewrite218.0ms

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:
197.0ms
(- (+ 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)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
9.0ms
(/ 2.0 (* r r))

series343.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(- (+ 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)
10.0ms
(* (fabs (* w r)) (fabs (* w r)))
49.0ms
(/ 2.0 (* r r))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01783903
13952614
211562171
done50001845

prune684.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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))
0.4b
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
34×add-exp-log
30×add-sqr-sqrt
20×add-cube-cbrt
18×add-cbrt-cube
16×add-log-exp
13×prod-exp
12×prod-diff
11×associate-*l*
8×times-frac div-exp associate-*r*
7×unpow-prod-down
5×pow1 cbrt-unprod distribute-lft-out
4×cbrt-undiv expm1-log1p-u pow-to-exp flip3-+ fma-neg diff-log pow-exp sum-log frac-sub flip-+ log1p-expm1-u unswap-sqr
3×pow-unpow associate-/l* distribute-lft-out-- unpow2 sqr-pow
2×flip3-- associate-/r/ flip-- div-inv difference-of-squares
1×sub-neg pow-pow frac-2neg associate-*l/ associate--l+ clear-num associate-/r* *-commutative associate--r+
Counts
4 → 131
Calls
4 calls:
318.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
85.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
5.0ms
(pow (fabs (* w r)) 2)
16.0ms
(/ 2.0 (* r r))

series360.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
115.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
16.0ms
(pow (fabs (* w r)) 2)
56.0ms
(/ 2.0 (* r r))

simplify2.2s

Counts
143 → 143
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02895041
17783922
228673394
done50013105

prune691.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))
11.2b
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
11.2b
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow times-frac associate-/l*
2×cbrt-undiv sqrt-pow1 pow1/2 sqrt-div div-exp associate-*l/ sqrt-prod
1×pow-to-exp pow-pow frac-2neg pow-exp prod-exp clear-num associate-/r* cbrt-unprod div-inv unpow2 sqr-pow
Counts
4 → 69
Calls
4 calls:
5.0ms
(pow (fabs (* w r)) 2)
9.0ms
(/ 2.0 (* r r))
36.0ms
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
63.0ms
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow (fabs (* w r)) 2)
38.0ms
(/ 2.0 (* r r))
344.0ms
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
365.0ms
(sqrt (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))

simplify3.5s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01381326
13201240
29911155
346721083
done50001083

prune527.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02549
13149
done3149

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.7s16985×body80valid