Details

Time bar (total: 16.8s)

sample195.0ms

Algorithm
intervals
Results
74.0ms537×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02229
15129
215229
365629
4343929
done500029

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize49.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.9b
(* (* (* w w) r) r)
10.7b
(* (* w w) r)

rewrite502.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
57×prod-exp cbrt-unprod
50×pow1
33×pow-prod-down
13×add-sqr-sqrt
12×*-un-lft-identity
9×cbrt-undiv div-exp
8×add-cube-cbrt
7×associate-*r*
5×associate-/r* times-frac
4×associate-*l/ associate-*r/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls
4 calls:
178.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
223.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
60.0ms
(* (* (* w w) r) r)
31.0ms
(* (* w w) r)

series287.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
99.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
44.0ms
(* (* (* w w) r) r)
27.0ms
(* (* w w) r)

simplify428.0ms

Counts
131 → 131
Iterations

Useful iterations: done (419.0ms)

IterNodesCost
02012751
16722663
done50002025

prune793.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 2.0 (* r r))
3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
5.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
6.9b
(* (* w (* w r)) r)

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
55×prod-exp cbrt-unprod
45×pow1
30×pow-prod-down
13×add-sqr-sqrt *-un-lft-identity
11×cbrt-undiv div-exp
9×add-cube-cbrt
8×times-frac
6×associate-/r*
4×associate-*r* associate-*l/ associate-*r/ associate-/l* add-log-exp
3×flip3-- flip--
2×clear-num frac-2neg associate-*l* associate-/r/ *-commutative div-inv distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 121
Calls
4 calls:
12.0ms
(/ 2.0 (* r r))
177.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
221.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
56.0ms
(* (* w (* w r)) r)

series322.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 2.0 (* r r))
120.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
116.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
57.0ms
(* (* w (* w r)) r)

simplify467.0ms

Counts
133 → 133
Iterations

Useful iterations: done (461.0ms)

IterNodesCost
02282773
17462687
done50002055

prune810.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.8b
(/ 2.0 (* r r))
5.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
6.9b
(* (* w (* w r)) r)

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
68×add-cbrt-cube add-exp-log
37×prod-exp cbrt-unprod
23×pow1
15×associate-*r*
12×add-sqr-sqrt *-un-lft-identity pow-prod-down
10×cbrt-undiv div-exp add-cube-cbrt
8×times-frac
5×associate-*l* associate-*r/
4×add-log-exp
3×flip3-- *-commutative flip-- associate-/l*
2×frac-times associate-*l/ associate-/r/ div-inv
1×clear-num associate-/r* frac-2neg distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
25.0ms
(* w (* w r))
12.0ms
(/ 2.0 (* r r))
177.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
72.0ms
(* (* w (* w r)) r)

series223.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* w (* w r))
33.0ms
(/ 2.0 (* r r))
113.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
43.0ms
(* (* w (* w r)) r)

simplify441.0ms

Counts
119 → 119
Iterations

Useful iterations: done (437.0ms)

IterNodesCost
02252122
17272057
done50001579

prune694.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))
5.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
20×*-un-lft-identity
16×pow1
14×associate-*r* prod-exp add-cube-cbrt cbrt-unprod
13×times-frac
8×cbrt-undiv div-exp
6×associate-/r*
5×associate-*r/
4×flip3-- associate-*l* pow-prod-down associate-/r/ flip-- associate-/l* add-log-exp
3×swap-sqr div-inv distribute-lft-out-- difference-of-squares
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 112
Calls
4 calls:
19.0ms
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
11.0ms
(* (fabs (* w r)) (fabs (* w r)))
9.0ms
(/ 2.0 (* r r))
68.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
10.0ms
(* (fabs (* w r)) (fabs (* w r)))
39.0ms
(/ 2.0 (* r r))
86.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify2.7s

Counts
124 → 124
Iterations

Useful iterations: 2 (633.0ms)

IterNodesCost
02172377
16572236
248911635
done50001635

prune862.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes413.0ms

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
13049
done3049

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.4s17358×body80valid