Details

Time bar (total: 25.7s)

sample244.0ms

Algorithm
intervals
Results
78.0ms567×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02229
15129
215229
365429
4344529
done500029

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize81.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.8b
(* (* (* w w) r) r)
8.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0b
(* (* w w) r)

rewrite976.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
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×times-frac associate-/r*
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls
4 calls:
389.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
123.0ms
(* (* (* w w) r) r)
406.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
43.0ms
(* (* w w) r)

series440.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
71.0ms
(* (* (* w w) r) r)
154.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
49.0ms
(* (* w w) r)

simplify755.0ms

Counts
131 → 131
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
02032751
16772663
done50002025

prune918.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.6b

localize62.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ 2.0 (* r r))
6.1b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
6.8b
(* (* (* w w) r) r)
9.0b
(* (* w w) r)

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
22×times-frac
20×cbrt-undiv div-exp
18×pow1
17×add-sqr-sqrt
16×*-un-lft-identity
12×add-cube-cbrt
10×associate-/r*
9×pow-prod-down
6×associate-*r*
4×div-inv associate-/l* add-log-exp
2×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/ distribute-lft-out-- difference-of-squares
1×flip3-- associate-/r/ flip-- unswap-sqr
Counts
4 → 113
Calls
4 calls:
17.0ms
(/ 2.0 (* r r))
180.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
128.0ms
(* (* (* w w) r) r)
39.0ms
(* (* w w) r)

series310.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ 2.0 (* r r))
145.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
66.0ms
(* (* (* w w) r) r)
38.0ms
(* (* w w) r)

simplify725.0ms

Counts
125 → 125
Iterations

Useful iterations: done (718.0ms)

IterNodesCost
02292255
17492190
done50001702

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- 1.0 v) (* (* w (* w r)) r))
1.2b
(/ 2.0 (* r r))
6.1b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
6.8b
(* (* w (* w r)) r)

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
30×prod-exp cbrt-unprod
27×times-frac
24×cbrt-undiv div-exp
21×add-sqr-sqrt *-un-lft-identity
13×pow1 add-cube-cbrt
11×associate-/r*
9×associate-/l*
6×pow-prod-down
5×div-inv
4×associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×frac-2neg associate-*r* clear-num
2×flip3-- associate-*r/ flip--
1×div-sub associate-*l* associate-/r/ *-commutative
Counts
4 → 126
Calls
4 calls:
124.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
18.0ms
(/ 2.0 (* r r))
150.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
109.0ms
(* (* w (* w r)) r)

series377.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
55.0ms
(/ 2.0 (* r r))
149.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
65.0ms
(* (* w (* w r)) r)

simplify762.0ms

Counts
138 → 138
Iterations

Useful iterations: done (754.0ms)

IterNodesCost
02442700
17942628
done50002054

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.3b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r))
1.2b
(/ 2.0 (* r r))
6.8b
(* (* w (* w r)) r)

rewrite522.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
44×prod-exp cbrt-unprod
32×pow1
19×pow-prod-down
15×associate-*l*
12×add-sqr-sqrt *-un-lft-identity
10×cbrt-undiv add-cube-cbrt div-exp
8×times-frac
5×associate-*r*
4×add-log-exp
3×*-commutative associate-/l*
2×associate-/r/ div-inv
1×flip3-- frac-2neg associate-*l/ clear-num associate-/r* flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
33.0ms
(* w (* w r))
348.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r))
16.0ms
(/ 2.0 (* r r))
114.0ms
(* (* w (* w r)) r)

series325.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* w (* w r))
168.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r))
57.0ms
(/ 2.0 (* r r))
63.0ms
(* (* w (* w r)) r)

simplify4.8s

Counts
121 → 121
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
02032185
16362121
244911567
done50001567

prune862.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes798.0ms

Accuracy

69.6% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 2.6b

bsearch601.0ms

Steps
ItersRangePoint
9
2.6464746762370467e+166
8.280423218257343e+171
3.1448262400620932e+168
10
-1.0243829038327534e+241
-6.064529014994465e+228
-6.18456472356049e+228

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
043121
154121
done54121

end0.0ms

sample5.4s

Algorithm
intervals
Results
4.3s17214×body80valid