Details

Time bar (total: 15.7s)

sample69.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
20.0ms230×body80nan

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318119
438419
575319
6110119
7136419
8151119
done151119

prune3.0ms

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

rewrite167.0ms

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:
83.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
45.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms
(* 3.0 (* v v))

series676.0ms

Counts
3 → 9
Calls
3 calls:
399.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
236.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms
(* 3.0 (* v v))

simplify2.6s

Counts
122 → 122
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02592814
17972596
245482422
done50002406

prune528.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 3.0 (* v v)) 3)
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
associate-*l*
add-cube-cbrt *-un-lft-identity
add-log-exp
pow-unpow pow-pow associate-*r* pow-exp *-commutative rem-cube-cbrt unswap-sqr
cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 82
Calls
4 calls:
16.0ms
(pow (* 3.0 (* v v)) 3)
40.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))

series197.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(pow (* 3.0 (* v v)) 3)
38.0ms
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))
37.0ms
(* 3.0 (* v v))

simplify1.0s

Counts
94 → 94
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
062707
1183650
21114554
done5000554

prune738.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-div
65×pow1
51×frac-times
45×add-sqr-sqrt
32×associate-*l*
31×associate-*r/
28×sqrt-pow1
27×pow-prod-down
26×flip3-- flip--
25×add-cube-cbrt *-un-lft-identity
22×times-frac
21×add-exp-log sqrt-prod add-cbrt-cube
18×associate-*l/
12×associate-*r*
10×pow1/2 pow-prod-up
prod-exp cbrt-unprod unswap-sqr
pow-sqr
swap-sqr *-commutative add-log-exp
cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt div-inv
Counts
4 → 174
Calls
4 calls:
35.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))
208.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms
(* 3.0 (* v v))
47.0ms
(* 3.0 (* v v))
352.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify2.3s

Counts
186 → 186
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03064740
17193968
237533567
done50003501

prune804.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03158
14158
done4158

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8000×body80valid
645.0ms8054×body80nan