Details

Time bar (total: 17.2s)

sample70.0ms

Algorithm
intervals
Results
51.0ms452×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02867
16967
222848
386437
4308737
done500033

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)

rewrite1.1s

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:
20.0ms
(* (* (fabs x) (fabs x)) (fabs x))
956.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
130.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series181.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(* (* (fabs x) (fabs x)) (fabs x))
81.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
68.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.6s

Counts
137 → 137
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02162448
15301707
219531163
done50001113

prune738.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)

rewrite419.0ms

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:
9.0ms
(/ (pow (fabs x) 5) 5.0)
10.0ms
(/ (pow (fabs x) 3) 3.0)
375.0ms
(/ (+ (* 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)

series573.0ms

Counts
4 → 10
Calls
4 calls:
78.0ms
(/ (pow (fabs x) 5) 5.0)
74.0ms
(/ (pow (fabs x) 3) 3.0)
421.0ms
(/ (+ (* 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 (1.2s)

IterNodesCost
04308177
19447779
235387520
done50017520

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize57.0ms

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)

rewrite424.0ms

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:
11.0ms
(/ (pow (fabs x) 5) 5.0)
387.0ms
(* (/ 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))
15.0ms
(/ (pow (fabs x) 3) 3.0)
2.0ms
(sqrt PI)

series582.0ms

Counts
4 → 10
Calls
4 calls:
63.0ms
(/ (pow (fabs x) 5) 5.0)
458.0ms
(* (/ 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))
60.0ms
(/ (pow (fabs x) 3) 3.0)
0.0ms
(sqrt PI)

simplify2.8s

Counts
195 → 195
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
03855143
19974690
242844255
done50004255

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes3.0ms