Details

Time bar (total: 22.4s)

sample90.0ms

Algorithm
intervals
Results
67.0ms452×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02867
16967
222848
386437
4308737
done500033

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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:
21.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.1s
(* (/ 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)))
1.0ms
(sqrt PI)

series179.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(* (* (fabs x) (fabs x)) (fabs x))
75.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.8s

Counts
137 → 137
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02162448
15301707
219531163
done50001113

prune726.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 5) 5.0)
0.1b
(/ (pow (fabs x) 3) 3.0)
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)

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
122×add-sqr-sqrt
121×add-cube-cbrt *-un-lft-identity
39×sqrt-prod
28×associate-/r*
24×unpow-prod-down
22×associate-/l*
19×add-exp-log
13×add-cbrt-cube
12×cube-prod associate-*r/
9×div-exp
8×frac-add associate-/l/ sqr-pow
7×div-inv
6×flip3-+ flip-+
5×pow1 cbrt-undiv
4×cube-mult unpow3 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 → 237
Calls
4 calls:
18.0ms
(/ (pow (fabs x) 5) 5.0)
19.0ms
(/ (pow (fabs x) 3) 3.0)
355.0ms
(/ (+ (* 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))
2.0ms
(sqrt PI)

series660.0ms

Counts
4 → 10
Calls
4 calls:
87.0ms
(/ (pow (fabs x) 5) 5.0)
76.0ms
(/ (pow (fabs x) 3) 3.0)
496.0ms
(/ (+ (* 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)

simplify2.6s

Counts
247 → 247
Iterations

Useful iterations: 2 (901.0ms)

IterNodesCost
04308177
19447779
235387520
done50017520

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 5) 5.0)
0.1b
(* (/ 1 (sqrt PI)) (* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) 1.0))
0.1b
(/ (pow (fabs x) 3) 3.0)
1.0b
(sqrt PI)

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
60×add-sqr-sqrt
59×add-cube-cbrt *-un-lft-identity
36×add-exp-log
32×associate-*r/
24×unpow-prod-down
22×associate-*l*
20×add-cbrt-cube
19×associate-/l*
17×associate-*l/
16×frac-add
12×flip3-+ cube-prod prod-exp sqrt-prod flip-+
10×pow1 div-exp
8×frac-times sqr-pow
6×associate-/r* cbrt-unprod
4×cbrt-undiv cube-mult unpow3 add-log-exp
3×pow-prod-down div-inv
2×pow-to-exp rec-exp frac-2neg 1-exp pow-exp clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 185
Calls
4 calls:
13.0ms
(/ (pow (fabs x) 5) 5.0)
364.0ms
(* (/ 1 (sqrt PI)) (* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) 1.0))
20.0ms
(/ (pow (fabs x) 3) 3.0)
2.0ms
(sqrt PI)

series688.0ms

Counts
4 → 10
Calls
4 calls:
109.0ms
(/ (pow (fabs x) 5) 5.0)
503.0ms
(* (/ 1 (sqrt PI)) (* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) 1.0))
76.0ms
(/ (pow (fabs x) 3) 3.0)
0.0ms
(sqrt PI)

simplify3.4s

Counts
195 → 195
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03855143
19974690
242844255
done50004255

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02835
13735
done3735

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.3s14083×body80valid