Details

Time bar (total: 30.3s)

sample62.0ms

Algorithm
intervals
Results
41.0ms440×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (223.0ms)

IterNodesCost
02867
16967
222848
387537
4415537
done500237

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

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))
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
99.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series175.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 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)))
0.0ms
(sqrt PI)

simplify4.8s

Counts
137 → 137
Iterations

Useful iterations: done (4.8s)

IterNodesCost
02162448
16451723
244211175
done50001128

prune818.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

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:
39.0ms
(* (* (fabs x) (fabs x)) (fabs x))
978.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
90.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series188.0ms

Counts
4 → 10
Calls
4 calls:
52.0ms
(* (* (fabs x) (fabs x)) (fabs x))
69.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
67.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify5.6s

Counts
137 → 137
Iterations

Useful iterations: 2 (797.0ms)

IterNodesCost
02192446
16541723
245511163
done50011163

prune899.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
0.2b
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
46×pow-prod-up
39×add-exp-log add-cbrt-cube
21×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×associate-*l* pow-prod-down
13×associate-*r*
10×sqrt-prod
9×times-frac
6×pow2 pow-plus pow-sqr
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×unswap-sqr
1×rem-sqrt-square associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
98.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
46.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
87.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series186.0ms

Counts
4 → 10
Calls
4 calls:
30.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
90.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
66.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.6s

Counts
132 → 132
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01681704
14861194
23343922
done5001852

prune855.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 4) (/ 1.0 5.0))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.3b
(/ (+ (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0)))))) (/ (sqrt PI) 1.0))
1.0b
(sqrt PI)

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
131×add-sqr-sqrt
99×add-cube-cbrt *-un-lft-identity
39×sqrt-prod
35×add-exp-log
26×associate-*r*
22×associate-/r*
19×associate-*l* add-cbrt-cube
14×unswap-sqr
12×prod-exp
10×unpow-prod-down
9×div-exp
7×div-inv
6×associate-*r/ sqr-pow
5×pow1 cbrt-undiv cube-prod
4×pow-to-exp pow-exp cbrt-unprod associate-/l/ add-log-exp
3×associate-/l*
2×flip3-+ frac-add *-commutative flip-+
1×cube-mult rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 unpow3 clear-num associate-/r/
Counts
4 → 216
Calls
4 calls:
28.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
30.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
91.0ms
(/ (+ (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0)))))) (/ (sqrt PI) 1.0))
2.0ms
(sqrt PI)

series611.0ms

Counts
4 → 10
Calls
4 calls:
64.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
77.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
470.0ms
(/ (+ (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0)))))) (/ (sqrt PI) 1.0))
0.0ms
(sqrt PI)

simplify712.0ms

Counts
226 → 226
Iterations

Useful iterations: done (693.0ms)

IterNodesCost
04068527
111328238
done50007917

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
03465
15163
done5163

end0.0ms

sample3.4s

Algorithm
intervals
Results
3.0s13880×body80valid