Details

Time bar (total: 12.3s)

sample74.0ms

Algorithm
intervals
Results
24.0ms267×body80nan
23.0ms256×body80valid

simplify3.0s

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 3 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×add-cube-cbrt *-un-lft-identity sqrt-prod
13×add-exp-log add-cbrt-cube
11×pow1
associate-*r* unswap-sqr
sqrt-div
prod-exp cbrt-unprod
pow-prod-down
flip3-- flip-- add-log-exp
frac-times associate-*r/ *-commutative
cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 86
Calls
3 calls:
58.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
25.0ms
(* 3.0 (* v v))

series454.0ms

Counts
3 → 9
Calls
3 calls:
306.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
116.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms
(* 3.0 (* v v))

simplify2.0s

Counts
95 → 95
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01911527
14941415
223621343
done50021337

prune392.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
13×pow1
10×cube-div add-sqr-sqrt sqrt-div
cbrt-prod add-cube-cbrt *-un-lft-identity
cbrt-div flip3-- prod-exp flip-- cbrt-unprod
frac-times associate-*r/ pow-prod-down add-log-exp
pow-unpow associate-*l* pow-exp sqrt-prod rem-cube-cbrt
cube-mult unpow-prod-down pow-pow unpow3 cube-prod associate-*l/ sqr-pow
cbrt-undiv pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 div-exp associate-*r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
34.0ms
(* 3.0 (* v v))
22.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.1s

Counts
4 → 12
Calls
4 calls:
106.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
231.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
39.0ms
(* 3.0 (* v v))
719.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify2.2s

Counts
97 → 97
Iterations

Useful iterations: 2 (800.0ms)

IterNodesCost
02191865
16571645
236221507
done50011507

prune433.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
01722
12022
done2022

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8126×body80nan
606.0ms8000×body80valid