Details

Time bar (total: 4.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms258×body80nan

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810
done130810

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ (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)))))
0.2b
(* 3.0 (* v v))

rewrite115.0ms

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:
60.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
33.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series530.0ms

Counts
3 → 9
Calls
3 calls:
302.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
202.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))

simplify81.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07601460
134221374
250011372
done50011372

prune308.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
pow-sqr pow-prod-up
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp
pow-plus unswap-sqr
pow2 swap-sqr
Counts
4 → 117
Calls
4 calls:
80.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
15.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))

series120.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
31.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

simplify138.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0200526
1782349
24098319
35001319
done5001319

prune203.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
1.0b
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×cube-div frac-times
28×sqrt-div
26×flip3-- flip--
25×associate-*l*
24×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
18×associate-*r/
17×pow1 cbrt-div associate-*l/ sqrt-prod
10×prod-exp cbrt-unprod
cbrt-prod
associate-*r* pow-prod-down unswap-sqr
pow-exp add-log-exp rem-cube-cbrt
pow-unpow pow-pow
cbrt-undiv cube-mult unpow-prod-down unpow3 cube-prod div-exp *-commutative sqr-pow
pow-to-exp pow1/3 rem-cbrt-cube div-inv
Counts
4 → 149
Calls
4 calls:
11.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))
57.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.3s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
199.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
32.0ms
(* 3.0 (* v v))
784.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify45.0ms

Counts
161 → 161
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011912292
150012209
done50012209

prune520.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02419
12419
done2419

end0.0ms

sample799.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid
278.0ms8062×body80nan