Details

Time bar (total: 16.3s)

sample43.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms250×body80nan

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
12719
27019
318119
438419
575319
6110119
7136419
8151119
done151119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
9.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
113.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
55.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

series816.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
405.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
268.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms
(* 3.0 (* v v))

simplify3.1s

Counts
140 → 140
Iterations

Useful iterations: 2 (916.0ms)

IterNodesCost
02783102
18482852
248422664
done50002664

prune560.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
0.2b
(* (* v v) (* v v))
0.2b
(* 3.0 (* v v))

rewrite682.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
51×add-exp-log add-cbrt-cube
36×pow-prod-up
32×frac-times
29×pow-prod-down
26×associate-*l*
24×flip3-- sqrt-div associate-*r/ flip--
23×prod-exp cbrt-unprod
22×pow-sqr
21×add-sqr-sqrt times-frac
20×add-cube-cbrt *-un-lft-identity
18×pow-plus
17×associate-/l/
13×pow2
10×associate-*l/
9×cbrt-undiv div-exp sqrt-prod
8×distribute-rgt-in distribute-lft-in
4×sub-neg add-log-exp
3×associate-*r* associate-/r* *-commutative
2×associate-/r/ div-inv unswap-sqr
1×frac-2neg flip3-+ swap-sqr clear-num flip-+ associate-/l*
Counts
4 → 194
Calls
4 calls:
389.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
184.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
66.0ms
(* (* v v) (* v v))
34.0ms
(* 3.0 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
625.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
360.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
65.0ms
(* (* v v) (* v v))
47.0ms
(* 3.0 (* v v))

simplify759.0ms

Counts
206 → 206
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
03545418
111814542
done50004016

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
79×prod-exp
72×times-frac
65×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
51×associate-*r*
48×unpow-prod-down cube-prod
47×pow-exp
36×cube-div pow-to-exp sqrt-prod
18×add-cbrt-cube
16×frac-times
13×flip3-- flip--
12×sqrt-div associate-*l/
11×pow1 div-exp
6×pow-unpow cbrt-unprod
5×associate-*r/ pow-prod-down
4×associate-*l* div-inv add-log-exp
3×cube-mult unpow3 rem-cube-cbrt sqr-pow
2×pow-pow *-commutative difference-of-squares
1×cbrt-undiv unswap-sqr
Counts
4 → 229
Calls
4 calls:
127.0ms
(* (* (pow (- 1.0 (* v v)) 3) (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)) (pow (/ (sqrt 2.0) 4.0) 3))
13.0ms
(pow (- 1.0 (* v v)) 3)
24.0ms
(* 3.0 (* v v))
23.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

series834.0ms

Counts
4 → 10
Calls
4 calls:
716.0ms
(* (* (pow (- 1.0 (* v v)) 3) (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)) (pow (/ (sqrt 2.0) 4.0) 3))
79.0ms
(pow (- 1.0 (* v v)) 3)
39.0ms
(* 3.0 (* v v))
0.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

simplify776.0ms

Counts
239 → 239
Iterations

Useful iterations: done (765.0ms)

IterNodesCost
03675403
113754949
done50014484

prune815.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02439
13039
done3039

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s8000×body80valid
787.0ms7931×body80nan