Details

Time bar (total: 14.3s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms228×body80nan

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 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))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×prod-diff associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×cbrt-undiv div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 145
Calls
4 calls:
6.0ms
(- 1.0 (* 3.0 (* v v)))
61.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
29.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms
(* 3.0 (* v v))

series587.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- 1.0 (* 3.0 (* v v)))
299.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
196.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms
(* 3.0 (* v v))

simplify1.4s

Counts
157 → 157
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02963439
18273171
230832928
done50002916

prune400.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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
8×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
15.0ms
(* 3.0 (* v v))
15.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))

series108.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))

simplify2.7s

Counts
96 → 96
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
036696
180684
2216564
3450564
4673564
51860564
done5000564

prune288.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
2.4b
(log (exp (* 3.0 (* v v))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×log-prod associate-*r* log-pow *-commutative unswap-sqr
1×exp-prod exp-to-pow rem-log-exp
Counts
4 → 79
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))
5.0ms
(log (exp (* 3.0 (* v v))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
31.0ms
(log (exp (* 3.0 (* v v))))

simplify2.4s

Counts
91 → 91
Iterations

Useful iterations: done (2.4s)

IterNodesCost
056695
1100653
2230547
3491547
4796547
53040547
done5001545

prune381.0ms

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
(* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))
0.0b
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))) (* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0))))
0.0b
(* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0)))
0.1b
(* (* 3.0 3.0) (pow v 4))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
54×add-cbrt-cube
28×add-sqr-sqrt prod-exp
22×cbrt-unprod
20×frac-times
19×associate-*r*
18×flip3-- sqrt-div flip--
17×associate-/l/
16×add-cube-cbrt *-un-lft-identity
14×cbrt-undiv associate-*r/ div-exp prod-diff
11×unpow-prod-down
10×associate-*l*
9×distribute-rgt-in distribute-lft-in
8×pow1 sqrt-prod
7×associate-*l/ unswap-sqr
5×sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative difference-of-squares
2×pow-to-exp sub-neg pow-prod-down pow-exp
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 158
Calls
4 calls:
65.0ms
(* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))
121.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))) (* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0))))
9.0ms
(* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0)))
24.0ms
(* (* 3.0 3.0) (pow v 4))

series927.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))
427.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- (* 1.0 1.0) (pow v 4)))) (* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0))))
146.0ms
(* (fma v v 1.0) (sqrt (fma 3.0 (* v v) 1.0)))
42.0ms
(* (* 3.0 3.0) (pow v 4))

simplify522.0ms

Counts
170 → 170
Iterations

Useful iterations: done (515.0ms)

IterNodesCost
04436160
112285389
done50004628

prune651.0ms

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

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02650
13250
done3250

end0.0ms

sample794.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
273.0ms7874×body80nan