Details

Time bar (total: 22.8s)

sample89.0ms

Algorithm
intervals
Results
54.0ms458×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5013
43015
3855
2226
169
028

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
106×pow1
43×add-cbrt-cube add-exp-log
42×pow-plus pow-prod-up
24×prod-exp cbrt-unprod
18×pow-prod-down
15×add-sqr-sqrt associate-*l*
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×pow2 pow-sqr
7×associate-*r*
4×pow3 add-log-exp
3×cbrt-undiv div-exp *-commutative sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 129
Calls
4 calls:
85.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
71.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
84.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series149.0ms

Counts
4 → 10
Calls
4 calls:
40.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
29.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
80.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.8s

Counts
139 → 139
Iterations
IterNodes
done5002
21207
1373
0143

prune804.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite947.0ms

Algorithm
rewrite-expression-head
Rules
80×pow1
79×add-cbrt-cube add-exp-log
48×prod-exp cbrt-unprod
27×associate-*l* pow-prod-down
21×add-sqr-sqrt pow-plus pow-prod-up
20×*-un-lft-identity add-cube-cbrt
18×times-frac
8×cbrt-undiv div-exp
5×associate-*r*
4×pow2 pow-sqr add-log-exp
3×*-commutative sqrt-prod
2×pow3 associate-*l/ div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 138
Calls
4 calls:
798.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
79.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
57.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series212.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
30.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
77.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.4s

Counts
148 → 148
Iterations
IterNodes
done5000
22144
1616
0222

prune974.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

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

rewrite503.0ms

Algorithm
rewrite-expression-head
Rules
166×pow1
126×pow-prod-up
48×add-cbrt-cube add-exp-log
46×sqrt-pow1 pow1/2
36×pow-plus
28×prod-exp cbrt-unprod
22×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
15×associate-*l*
13×associate-*r*
12×pow2 pow-sqr
9×times-frac sqrt-prod
6×pow3
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
1×rem-sqrt-square associate-*l/ div-inv
Counts
4 → 156
Calls
4 calls:
326.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
86.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x)))
76.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series229.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
106.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x)))
85.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.3s

Counts
166 → 166
Iterations
IterNodes
done5001
21708
1502
0180

prune949.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube add-exp-log
20×add-sqr-sqrt pow1
19×associate-*r*
14×*-un-lft-identity associate-*r/ add-cube-cbrt
12×prod-exp cbrt-unprod
10×times-frac
9×pow-prod-down
5×frac-add
4×add-log-exp unswap-sqr
3×flip3-+ associate-*l* *-commutative sqrt-prod flip-+
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 98
Calls
4 calls:
91.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
108.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
26.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
2.0ms
(sqrt PI)

series289.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
153.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
38.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.0ms
(sqrt PI)

simplify2.8s

Counts
108 → 108
Iterations
IterNodes
done5010
23191
1705
0205

prune727.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample3.3s

Algorithm
intervals
Results
3.0s13990×body80valid