Details

Time bar (total: 15.3s)

sample44.0ms

Algorithm
intervals
Results
28.0ms425×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02867
16967
222848
386437
4308737
done500033

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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 pow-sqr 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 → 107
Calls
4 calls:
19.0ms
(* (* (fabs x) (fabs x)) (fabs x))
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
59.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series102.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
44.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.0s

Counts
117 → 117
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01301359
1298888
21071697
34925694
done5000694

prune355.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 5) (/ 5.0 1.0))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (/ (pow (fabs x) 5) (/ 5.0 1.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ (/ (* 1.0 (pow (fabs x) 6)) 21.0) 2.0)))))
0.1b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
140×add-sqr-sqrt
115×*-un-lft-identity
113×add-cube-cbrt
47×unpow-prod-down
35×add-exp-log associate-*l*
19×add-cbrt-cube
17×sqr-pow
16×associate-*r*
13×div-exp associate-/r* sqrt-prod
12×frac-add
11×div-inv unswap-sqr
10×associate-*r/
8×prod-exp
7×pow1 associate-/l*
6×frac-times flip3-+ associate-*l/ flip-+
5×cbrt-undiv cube-prod
4×pow-to-exp pow-exp cbrt-unprod add-log-exp
2×*-commutative
1×distribute-rgt-in cube-mult rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down clear-num associate-/r/ distribute-lft-out
Counts
4 → 250
Calls
4 calls:
13.0ms
(/ (pow (fabs x) 5) (/ 5.0 1.0))
301.0ms
(* (/ 1.0 (sqrt PI)) (+ (/ (pow (fabs x) 5) (/ 5.0 1.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ (/ (* 1.0 (pow (fabs x) 6)) 21.0) 2.0)))))
21.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)

series434.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(/ (pow (fabs x) 5) (/ 5.0 1.0))
327.0ms
(* (/ 1.0 (sqrt PI)) (+ (/ (pow (fabs x) 5) (/ 5.0 1.0)) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* (fabs x) (+ (/ (* 1.0 (pow (fabs x) 6)) 21.0) 2.0)))))
49.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify626.0ms

Counts
260 → 260
Iterations

Useful iterations: done (612.0ms)

IterNodesCost
05116504
114406075
done50005782

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
20.6b
(cbrt (pow (fabs x) 5))
20.6b
(cbrt (pow (fabs x) 5))
20.6b
(cbrt (pow (fabs x) 5))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt PI)
2.0ms
(cbrt (pow (fabs x) 5))
2.0ms
(cbrt (pow (fabs x) 5))
2.0ms
(cbrt (pow (fabs x) 5))

series462.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
156.0ms
(cbrt (pow (fabs x) 5))
150.0ms
(cbrt (pow (fabs x) 5))
156.0ms
(cbrt (pow (fabs x) 5))

simplify1.7s

Counts
68 → 68
Iterations

Useful iterations: 4 (145.0ms)

IterNodesCost
055576
181533
2137483
3262474
4733471
53037471
done5000471

prune364.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) 21.0)
0.1b
(/ (pow (fabs x) 5) 5.0)
0.3b
(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
1.0b
(sqrt PI)

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
113×add-sqr-sqrt
112×add-cube-cbrt *-un-lft-identity
39×sqrt-prod
28×associate-/r*
24×unpow-prod-down
19×add-exp-log
17×associate-/l*
13×add-cbrt-cube
12×associate-*r/
9×div-exp
8×frac-add associate-/l/ sqr-pow
7×div-inv
6×flip3-+ flip-+
5×pow1 cbrt-undiv
4×add-log-exp
3×frac-2neg clear-num
2×pow-to-exp pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
Counts
4 → 217
Calls
4 calls:
9.0ms
(/ (pow (fabs x) 7) 21.0)
8.0ms
(/ (pow (fabs x) 5) 5.0)
242.0ms
(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
1.0ms
(sqrt PI)

series455.0ms

Counts
4 → 10
Calls
4 calls:
69.0ms
(/ (pow (fabs x) 7) 21.0)
62.0ms
(/ (pow (fabs x) 5) 5.0)
324.0ms
(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
0.0ms
(sqrt PI)

simplify1.5s

Counts
227 → 227
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04167916
19167612
232127358
done50007347

prune943.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b 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
03356
14156
done4156

end0.0ms

sample1.1s

Algorithm
intervals
Results
908.0ms13876×body80valid