Details

Time bar (total: 27.5s)

sample257.0ms

Algorithm
intervals
Results
116.0ms538×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
02229
17629
289328
done500028

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.6b
(* (* (* w w) r) r)
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.7b
(* (* w w) r)

rewrite826.0ms

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×expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u 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 → 127
Calls
4 calls:
312.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
118.0ms
(* (* (* w w) r) r)
360.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
22.0ms
(* (* w w) r)

series399.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
64.0ms
(* (* (* w w) r) r)
118.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
47.0ms
(* (* w w) r)

simplify6.1s

Counts
139 → 139
Iterations

Useful iterations: done (6.1s)

IterNodesCost
02112851
131302711
done50002011

prune535.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
18×add-sqr-sqrt prod-exp cbrt-unprod
16×*-un-lft-identity
12×add-cube-cbrt
9×pow-prod-down
8×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×expm1-log1p-u associate-*r/ associate-*r* associate-*l* associate-*l/ log1p-expm1-u associate-/l* add-log-exp
3×flip3-- swap-sqr flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 113
Calls
4 calls:
8.0ms
(/ 2.0 (* r r))
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
60.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
73.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series219.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 2.0 (* r r))
13.0ms
(* (fabs (* w r)) (fabs (* w r)))
61.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
115.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify3.5s

Counts
125 → 125
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02062436
134261982
done50001613

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.3b
(/ 2.0 (* r r))
0.4b
(pow (fabs (* w r)) 2)
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
117×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
53×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
19×div-exp
17×unpow2 sqr-pow
9×cbrt-undiv associate-/l*
5×pow1 prod-exp div-inv
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u associate-/l/ add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×flip3-- associate-*r/ flip--
1×pow-pow div-sub associate-/r/
Counts
4 → 231
Calls
4 calls:
31.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
15.0ms
(/ 2.0 (* r r))
3.0ms
(pow (fabs (* w r)) 2)
52.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
52.0ms
(/ 2.0 (* r r))
17.0ms
(pow (fabs (* w r)) 2)
118.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.1s

Counts
243 → 243
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03494904
done50004365

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
239×times-frac
157×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
55×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
20×div-exp
19×associate-/l*
17×unpow2 sqr-pow
10×cbrt-undiv
9×div-inv
5×pow1 associate-/l/
4×expm1-log1p-u pow-to-exp pow-exp prod-exp log1p-expm1-u add-log-exp
3×pow-unpow frac-2neg clear-num
2×flip3-- associate-*r/ flip-- cbrt-unprod
1×pow-pow div-sub associate-/r/
Counts
4 → 280
Calls
4 calls:
28.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
12.0ms
(/ (/ 2.0 r) r)
3.0ms
(pow (fabs (* w r)) 2)
60.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
47.0ms
(/ (/ 2.0 r) r)
24.0ms
(pow (fabs (* w r)) 2)
119.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.1s

Counts
292 → 292
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04455581
done50005024

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes398.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02231
12731
done2731

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.7s17002×body80valid