Details

Time bar (total: 36.5s)

sample74.0ms

Algorithm
intervals
Results
49.0ms480×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02867
16967
222848
386437
4308737
done500033

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite15.3s

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 157
Calls
4 calls:
14.2s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
898.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
139.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series294.0ms

Counts
4 → 10
Calls
4 calls:
124.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
103.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
66.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.3s

Counts
167 → 167
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02974429
17703002
228021751
done50011644

prune850.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
8×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×add-log-exp
3×sqrt-prod *-commutative
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 127
Calls
4 calls:
28.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
97.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series166.0ms

Counts
4 → 10
Calls
4 calls:
34.0ms
(* (* (fabs x) (fabs x)) (fabs x))
75.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
57.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.5s

Counts
137 → 137
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02182436
15351711
219271163
done50011113

prune884.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (* (fabs x) (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) 2.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0))))
0.1b
(* (/ 1.0 5.0) (pow (fabs x) 4))
0.2b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
48×associate-*l*
45×times-frac
38×add-cube-cbrt *-un-lft-identity
35×add-exp-log
22×associate-*r*
20×associate-*r/
19×add-cbrt-cube
17×unswap-sqr
16×frac-add
14×prod-exp
13×sqrt-prod
12×flip3-+ flip-+
11×associate-*l/
10×unpow-prod-down
8×frac-times
7×pow1 div-exp
6×cbrt-unprod sqr-pow
5×cube-prod
4×pow-to-exp pow-exp add-log-exp
3×cbrt-undiv *-commutative div-inv
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down
Counts
4 → 166
Calls
4 calls:
295.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (fabs x) (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) 2.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0))))
48.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
22.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
3.0ms
(sqrt PI)

series609.0ms

Counts
4 → 10
Calls
4 calls:
475.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (fabs x) (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) 2.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0))))
59.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
75.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify1.2s

Counts
176 → 176
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03615138
112034790
done50014514

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0)) (/ 1.0 (sqrt PI)))
0.2b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
34×associate-*r*
33×times-frac
30×add-cube-cbrt *-un-lft-identity
22×add-exp-log
16×associate-*l* sqrt-prod
14×add-cbrt-cube
11×unswap-sqr
8×pow1 associate-*l/ prod-exp
5×unpow-prod-down cube-prod
4×div-exp cbrt-unprod add-log-exp
3×frac-times sqr-pow
2×cbrt-undiv pow-to-exp rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 frac-add pow-exp *-commutative flip-+ div-inv
1×cube-mult unpow3 associate-*r/ pow-prod-down
Counts
4 → 124
Calls
4 calls:
75.0ms
(* (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0)) (/ 1.0 (sqrt PI)))
34.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series380.0ms

Counts
4 → 8
Calls
4 calls:
319.0ms
(* (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (/ (pow (fabs x) 7) 21.0) 1.0)) (/ 1.0 (sqrt PI)))
61.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.9s

Counts
132 → 132
Iterations

Useful iterations: 2 (610.0ms)

IterNodesCost
02272346
15742196
223172026
done50012026

prune923.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02837
13637
done3637

end0.0ms

sample3.6s

Algorithm
intervals
Results
3.3s14106×body80valid