Details

Time bar (total: 12.5s)

sample47.0ms

Algorithm
intervals
Results
29.0ms434×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02867
16967
222848
386437
4308737
done500033

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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

rewrite693.0ms

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:
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
607.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series133.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
62.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.2s

Counts
137 → 137
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02162448
15301707
219531163
done50001113

prune427.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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

rewrite689.0ms

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:
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
606.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series130.0ms

Counts
4 → 10
Calls
4 calls:
28.0ms
(* (* (fabs x) (fabs x)) (fabs x))
55.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.0s

Counts
137 → 137
Iterations

Useful iterations: done (1000.0ms)

IterNodesCost
02182444
15351527
219421022
done50001013

prune472.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ 2.0 (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) (* (pow (fabs x) 6) (/ 1.0 21.0)))))))
0.1b
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.2b
(* (/ 1.0 5.0) (pow (fabs x) 4))
1.0b
(sqrt PI)

rewrite111.0ms

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*
19×add-cbrt-cube
17×unswap-sqr
14×prod-exp
13×sqrt-prod
10×unpow-prod-down
8×associate-*r/
7×pow1 div-exp associate-*l/
6×cbrt-unprod sqr-pow
5×cube-prod
4×frac-times pow-to-exp flip3-+ frac-add pow-exp flip-+ 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 → 158
Calls
4 calls:
63.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ 2.0 (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) (* (pow (fabs x) 6) (/ 1.0 21.0)))))))
21.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
19.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
1.0ms
(sqrt PI)

series412.0ms

Counts
4 → 10
Calls
4 calls:
321.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ 2.0 (+ (* (/ 1.0 5.0) (pow (fabs x) 4)) (* (pow (fabs x) 6) (/ 1.0 21.0)))))))
46.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
44.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
0.0ms
(sqrt PI)

simplify1.7s

Counts
168 → 168
Iterations

Useful iterations: 2 (561.0ms)

IterNodesCost
03214116
19843902
242043615
done50003615

prune721.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fabs x))
0.6b
(cbrt (fabs x))
0.7b
(pow (cbrt (fabs x)) 4)
1.0b
(sqrt PI)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
6×pow1 unpow-prod-down
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3 sqrt-prod
2×pow-pow
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp sqr-pow
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fabs x))
1.0ms
(cbrt (fabs x))
3.0ms
(pow (cbrt (fabs x)) 4)
1.0ms
(sqrt PI)

series327.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(cbrt (fabs x))
100.0ms
(cbrt (fabs x))
128.0ms
(pow (cbrt (fabs x)) 4)
0.0ms
(sqrt PI)

simplify771.0ms

Counts
66 → 66
Iterations

Useful iterations: done (769.0ms)

IterNodesCost
067423
1121368
2251333
3832313
done5000310

prune299.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03263
14763
done4763

end0.0ms

sample1.1s

Algorithm
intervals
Results
910.0ms13873×body80valid