Details

Time bar (total: 17.3s)

sample63.0ms

Algorithm
intervals
Results
21.0ms262×body80nan
20.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
319219
440019
575319
6105819
7120219
8131219
9131819
done131819

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×associate-*l*
22×add-exp-log add-cube-cbrt *-un-lft-identity times-frac add-cbrt-cube
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp
1×div-inv difference-of-squares
Counts
3 → 125
Calls
3 calls:
45.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
116.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
17.0ms
(* 3.0 (* v v))

series812.0ms

Counts
3 → 9
Calls
3 calls:
315.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
453.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
43.0ms
(* 3.0 (* v v))

simplify2.2s

Counts
134 → 134
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02803160
18032904
229972692
done50012684

prune531.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
25×add-sqr-sqrt
22×add-exp-log add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×times-frac
15×pow1
13×sqrt-prod
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×pow-prod-down
6×sqrt-div
3×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv frac-times div-exp
1×associate-*l/ div-inv
Counts
3 → 95
Calls
3 calls:
63.0ms
(* (/ (sqrt 2.0) 4.0) (* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
19.0ms
(* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms
(* 3.0 (* v v))

series745.0ms

Counts
3 → 9
Calls
3 calls:
462.0ms
(* (/ (sqrt 2.0) 4.0) (* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
247.0ms
(* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
36.0ms
(* 3.0 (* v v))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: 2 (438.0ms)

IterNodesCost
02442177
16472018
224391828
done50021828

prune547.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* (* (fma (* v v) (fma v v 1.0) (* 1.0 1.0)) 4.0) (sqrt (fma (* 3.0 (* v v)) (fma (* 3.0 v) v 1.0) (* 1.0 1.0)))))
0.1b
(pow (* 3.0 (* v v)) 3)
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
20×pow1
9×cbrt-undiv add-sqr-sqrt div-exp pow-prod-down
8×associate-*l/ associate-/l/
7×add-cube-cbrt *-un-lft-identity
6×flip3-- sqrt-div associate-*l* flip--
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow-unpow pow-pow pow-exp rem-cube-cbrt
2×associate-*r/ associate-*r* *-commutative unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg times-frac unpow3 cube-prod clear-num associate-/r* div-inv associate-/l* sqr-pow
Counts
4 → 110
Calls
4 calls:
149.0ms
(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* (* (fma (* v v) (fma v v 1.0) (* 1.0 1.0)) 4.0) (sqrt (fma (* 3.0 (* v v)) (fma (* 3.0 v) v 1.0) (* 1.0 1.0)))))
24.0ms
(pow (* 3.0 (* v v)) 3)
47.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))

series920.0ms

Counts
4 → 12
Calls
4 calls:
737.0ms
(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* (* (fma (* v v) (fma v v 1.0) (* 1.0 1.0)) 4.0) (sqrt (fma (* 3.0 (* v v)) (fma (* 3.0 v) v 1.0) (* 1.0 1.0)))))
103.0ms
(pow (* 3.0 (* v v)) 3)
46.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))

simplify2.3s

Counts
122 → 122
Iterations

Useful iterations: 2 (691.0ms)

IterNodesCost
02354166
16753632
238992858
done50002858

prune876.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01519
11819
done1819

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8000×body80valid
768.0ms7995×body80nan