Details

Time bar (total: 14.7s)

sample50.0ms

Algorithm
intervals
Results
32.0ms434×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
02867
17066
225047
3102835
4400134
done500034

prune14.0ms

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
(* (/ 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)

rewrite707.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 135
Calls
4 calls:
19.0ms
(* (* (fabs x) (fabs x)) (fabs x))
621.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series130.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
61.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.1s

Counts
145 → 145
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02242536
15421770
219781220
done50001167

prune484.0ms

Pruning

3 alts after pruning (3 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)

rewrite701.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 135
Calls
4 calls:
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
616.0ms
(* (/ 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)

series130.0ms

Counts
4 → 10
Calls
4 calls:
25.0ms
(* (* (fabs x) (fabs x)) (fabs x))
61.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.1s

Counts
145 → 145
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02262532
15471584
219961071
done50011063

prune523.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 1.0 (pow (fabs x) 6)) 21.0)
0.1b
(fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))
0.1b
(* (fma (/ 2.0 3.0) (pow (fabs x) 3) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))))) (/ 1.0 (sqrt PI)))
1.0b
(sqrt PI)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×times-frac
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log
14×add-cbrt-cube
13×sqrt-prod
7×pow1
5×div-exp prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*l* associate-/r* cbrt-unprod unswap-sqr
2×div-inv
1×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down pow-exp clear-num *-commutative fma-udef associate-/l*
Counts
4 → 94
Calls
4 calls:
11.0ms
(/ (* 1.0 (pow (fabs x) 6)) 21.0)
0.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))
18.0ms
(* (fma (/ 2.0 3.0) (pow (fabs x) 3) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))))) (/ 1.0 (sqrt PI)))
1.0ms
(sqrt PI)

series467.0ms

Counts
4 → 10
Calls
4 calls:
60.0ms
(/ (* 1.0 (pow (fabs x) 6)) 21.0)
108.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))
298.0ms
(* (fma (/ 2.0 3.0) (pow (fabs x) 3) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (/ (* 1.0 (pow (fabs x) 6)) 21.0))))) (/ 1.0 (sqrt PI)))
0.0ms
(sqrt PI)

simplify759.0ms

Counts
104 → 104
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
01892650
14282562
215672296
done50002248

prune607.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (fma (/ 1.0 21.0) (pow (fabs x) 6) 2.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0))))
1.0b
(/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0)))
1.0b
(cbrt PI)
1.0b
(cbrt PI)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
508×times-frac
291×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
263×cbrt-prod
137×associate-*r*
22×associate-/r*
18×add-exp-log
15×div-inv
12×add-cbrt-cube
7×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×pow1/3 associate-/r/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 368
Calls
4 calls:
62.0ms
(* (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (fma (/ 1.0 21.0) (pow (fabs x) 6) 2.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0))))
14.0ms
(/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0)))
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)

series352.0ms

Counts
4 → 6
Calls
4 calls:
352.0ms
(* (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (fma (/ 1.0 21.0) (pow (fabs x) 6) 2.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0))))
0.0ms
(/ (cbrt 1.0) (/ (fabs (cbrt PI)) (cbrt 1.0)))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify1.9s

Counts
374 → 374
Iterations

Useful iterations: 2 (831.0ms)

IterNodesCost
050411560
1115410914
2465210439
done500110439

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.2b 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
03263
14763
done4763

end0.0ms

sample1.1s

Algorithm
intervals
Results
909.0ms13873×body80valid