Details

Time bar (total: 4.3s)

sample56.0ms

Algorithm
intervals
Results
36.0ms469×body80valid

simplify110.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142
done500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 pow-sqr add-log-exp
3×cbrt-undiv div-exp sqrt-prod *-commutative
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 107
Calls
4 calls:
19.0ms
(* (* (fabs x) (fabs x)) (fabs x))
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
60.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series103.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify44.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0340603
11373426
25002425
done5002425

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs x) (sqrt (fabs x)))
0.2b
(* (fabs x) (sqrt (fabs x)))
0.3b
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0b
(sqrt PI)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
29×pow-prod-up
28×add-sqr-sqrt
22×pow-prod-down
20×add-exp-log add-cbrt-cube
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity sqrt-pow1 pow1/2 sqrt-prod
10×prod-exp cbrt-unprod
8×pow3
7×associate-*l* pow-sqr
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 108
Calls
4 calls:
10.0ms
(* (fabs x) (sqrt (fabs x)))
10.0ms
(* (fabs x) (sqrt (fabs x)))
41.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0ms
(sqrt PI)

series106.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* (fabs x) (sqrt (fabs x)))
42.0ms
(* (fabs x) (sqrt (fabs x)))
26.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms
(sqrt PI)

simplify144.0ms

Counts
118 → 118
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0187504
1695356
23470318
35002302
done5002302

prune416.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b
(sqrt PI)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
40×pow1
32×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity associate-*l*
16×prod-exp cbrt-unprod
10×pow-prod-down
9×times-frac
7×pow-plus associate-*r* pow-prod-up
4×add-log-exp
3×cbrt-undiv pow2 swap-sqr div-exp sqrt-prod pow-sqr *-commutative
2×unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 associate-*l/ div-inv
Counts
4 → 104
Calls
4 calls:
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
59.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
7.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt PI)

series92.0ms

Counts
4 → 10
Calls
4 calls:
25.0ms
(* (* (fabs x) (fabs x)) (fabs x))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
18.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify50.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0405671
11676507
25001448
done5001448

prune453.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.2b
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
0.3b
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b
(sqrt PI)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
76×pow1
47×pow-prod-up
21×sqrt-pow1 pow1/2
20×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
15×associate-*r*
13×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp sqrt-prod cbrt-unprod
7×pow2 pow-plus pow-sqr
5×associate-*l*
4×add-log-exp
3×swap-sqr *-commutative unswap-sqr
1×rem-sqrt-square
Counts
4 → 109
Calls
4 calls:
21.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
70.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
7.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt PI)

series99.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
26.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
17.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify43.0ms

Counts
119 → 119
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0319641
11320446
25001380
done5001380

prune401.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05657
15657
done5657

end0.0ms

sample1.2s

Algorithm
intervals
Results
945.0ms14098×body80valid