Details

Time bar (total: 21.9s)

sample110.0ms

Algorithm
intervals
Results
79.0ms458×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5002
44087
3873
2228
169
028

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

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)

rewrite216.0ms

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:
69.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
89.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series107.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
29.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
47.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.2s

Counts
139 → 139
Iterations
IterNodes
done5000
22561
1387
0143

prune682.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

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)

rewrite474.0ms

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:
297.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
72.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x)))
93.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series170.0ms

Counts
4 → 10
Calls
4 calls:
30.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
94.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (sqrt (fabs x)))
47.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.1s

Counts
166 → 166
Iterations
IterNodes
done5002
23276
1520
0180

prune815.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize213.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs x))
0.5b
(cbrt (fabs x))
0.6b
(* (cbrt (fabs x)) (cbrt (fabs x)))
1.0b
(sqrt PI)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
15×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×sqrt-prod
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 rem-sqrt-square sqrt-pow1 pow-plus pow1/2 prod-exp *-commutative cbrt-unprod
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt (fabs x))
1.0ms
(cbrt (fabs x))
19.0ms
(* (cbrt (fabs x)) (cbrt (fabs x)))
2.0ms
(sqrt PI)

series506.0ms

Counts
4 → 10
Calls
4 calls:
175.0ms
(cbrt (fabs x))
166.0ms
(cbrt (fabs x))
165.0ms
(* (cbrt (fabs x)) (cbrt (fabs x)))
0.0ms
(sqrt PI)

simplify1.8s

Counts
85 → 85
Iterations
IterNodes
done5001
2558
1133
066

prune798.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize232.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fabs x)))
0.7b
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
0.7b
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
1.0b
(sqrt PI)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×pow1
4×add-cbrt-cube add-exp-log add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (cbrt (fabs x)))
4.0ms
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
4.0ms
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
1.0ms
(sqrt PI)

series820.0ms

Counts
4 → 10
Calls
4 calls:
134.0ms
(cbrt (cbrt (fabs x)))
506.0ms
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
180.0ms
(cbrt (* (cbrt (fabs x)) (cbrt (fabs x))))
0.0ms
(sqrt PI)

simplify1.9s

Counts
55 → 55
Iterations
IterNodes
done5000
63751
51147
4469
3214
2100
166
049

prune674.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done41
141
028

end0.0ms

sample3.4s

Algorithm
intervals
Results
3.2s13990×body80valid