Details

Time bar (total: 17.4s)

sample52.0ms

Algorithm
intervals
Results
13.0ms262×body80nan
12.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
*-commutative add-log-exp
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
67.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
99.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
26.0ms
(* 3.0 (* v v))

series692.0ms

Counts
3 → 9
Calls
3 calls:
253.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
395.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
44.0ms
(* 3.0 (* v v))

simplify1.9s

Counts
122 → 122
Iterations

Useful iterations: 2 (796.0ms)

IterNodesCost
02592814
17462580
227792406
done50002406

prune445.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
36.0ms
(* 3.0 (* v v))
36.0ms
(* 3.0 (* v v))
41.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))

series153.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
37.0ms
(* 3.0 (* v v))
36.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))

simplify4.1s

Counts
88 → 88
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
034648
178636
2209516
3468516
4677516
51860516
done5001516

prune446.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
18×frac-times
17×pow1 sqrt-prod
16×sqrt-div
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
log-prod pow-prod-down unswap-sqr
add-log-exp
distribute-rgt-in sub-neg distribute-lft-in exp-sum
log-pow *-commutative
cbrt-undiv div-exp
exp-prod exp-to-pow rem-log-exp div-inv difference-of-squares
Counts
4 → 131
Calls
4 calls:
7.0ms
(log (exp (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
63.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
118.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
39.0ms
(* 3.0 (* v v))

series1.2s

Counts
4 → 12
Calls
4 calls:
497.0ms
(log (exp (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
314.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
383.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
35.0ms
(* 3.0 (* v v))

simplify2.0s

Counts
143 → 143
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02833539
17773250
228483028
done50023018

prune647.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02448
13148
done3148

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8000×body80valid
756.0ms7995×body80nan