Details

Time bar (total: 4.9s)

sample56.0ms

Algorithm
intervals
Results
39.0ms457×body80valid

simplify113.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
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)

rewrite106.0ms

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 expm1-log1p-u pow-sqr log1p-expm1-u 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 → 115
Calls
4 calls:
19.0ms
(* (* (fabs x) (fabs x)) (fabs x))
19.0ms
(* (* (fabs x) (fabs x)) (fabs x))
62.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series102.0ms

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)

simplify42.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348647
11405470
25001462
done5001462

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 116
Calls
4 calls:
10.0ms
(* (fabs x) (sqrt (fabs x)))
10.0ms
(* (fabs x) (sqrt (fabs x)))
42.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
2.0ms
(sqrt PI)

series108.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* (fabs x) (sqrt (fabs x)))
39.0ms
(* (fabs x) (sqrt (fabs x)))
31.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms
(sqrt PI)

simplify167.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0193529
1672400
23652362
35001362
done5001362

prune459.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (pow (sqrt (fabs x)) 3) 3)
0.5b
(pow (sqrt (fabs x)) 3)
1.0b
(sqrt PI)
24.6b
(cbrt (pow (pow (sqrt (fabs x)) 3) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×unpow-prod-down cube-prod
42×cbrt-prod
33×add-sqr-sqrt sqrt-prod
32×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log cube-mult unpow3 sqr-pow
6×pow-unpow add-cbrt-cube
5×pow-exp
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×pow-to-exp
2×sqrt-pow1 pow1/2 rem-cube-cbrt
1×rem-sqrt-square pow1/3 sqrt-pow2 rem-cbrt-cube
Counts
4 → 159
Calls
4 calls:
8.0ms
(pow (pow (sqrt (fabs x)) 3) 3)
4.0ms
(pow (sqrt (fabs x)) 3)
1.0ms
(sqrt PI)
9.0ms
(cbrt (pow (pow (sqrt (fabs x)) 3) 3))

series354.0ms

Counts
4 → 10
Calls
4 calls:
67.0ms
(pow (pow (sqrt (fabs x)) 3) 3)
35.0ms
(pow (sqrt (fabs x)) 3)
0.0ms
(sqrt PI)
252.0ms
(cbrt (pow (pow (sqrt (fabs x)) 3) 3))

simplify68.0ms

Counts
169 → 169
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0343865
11417806
25002760
done5002760

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs x) (sqrt (fabs x)))
0.2b
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0b
(expm1 (log1p (sqrt PI)))
1.0b
(sqrt PI)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
73×pow1
27×pow-prod-up
21×pow-prod-down
20×add-sqr-sqrt
18×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
9×prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
7×associate-*r* pow3 sqrt-prod pow-sqr
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 rem-sqrt-square expm1-log1p swap-sqr expm1-udef
Counts
4 → 100
Calls
4 calls:
10.0ms
(* (fabs x) (sqrt (fabs x)))
41.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms
(expm1 (log1p (sqrt PI)))
1.0ms
(sqrt PI)

series68.0ms

Counts
4 → 8
Calls
4 calls:
41.0ms
(* (fabs x) (sqrt (fabs x)))
27.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms
(expm1 (log1p (sqrt PI)))
0.0ms
(sqrt PI)

simplify156.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0205409
1686290
23666269
35002269
done5002269

prune381.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes239.0ms

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
04142
14142
done4142

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s14141×body80valid