Details

Time bar (total: 32.8s)

sample121.0ms

Algorithm
intervals
Results
100.0ms454×body80valid

simplify2.4s

Counts
1 → 1

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize177.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 149
Calls
4 calls:
Slowest
619.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series161.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
70.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify971.0ms

Counts
159 → 159

prune3.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(/ (+ (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (/ 1 5) (/ (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 21)) (* (fabs x) (+ (* (* (fabs x) (fabs x)) (/ 2 3)) 2))) (sqrt PI))
0.2b
(* (* (fabs x) (fabs x)) (/ 2 3))
0.1b
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
659×pow1
456×pow-prod-up
168×pow-plus
104×pow2 pow-sqr
83×add-cbrt-cube add-exp-log
57×prod-exp cbrt-unprod
54×pow-prod-down
31×add-sqr-sqrt
28×times-frac
27×*-un-lft-identity add-cube-cbrt
16×pow3
15×sqrt-prod
14×associate-*r*
6×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×associate-*l* *-commutative div-inv unswap-sqr associate-/l/
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
Counts
4 → 297
Calls
4 calls:
Slowest
309.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))
35.0ms
(* (* (fabs x) (fabs x)) (/ 2 3))
33.0ms
(/ (+ (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (/ 1 5) (/ (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 21)) (* (fabs x) (+ (* (* (fabs x) (fabs x)) (/ 2 3)) 2))) (sqrt PI))
1.0ms
(sqrt PI)

series547.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
403.0ms
(/ (+ (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (/ 1 5) (/ (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 21)) (* (fabs x) (+ (* (* (fabs x) (fabs x)) (/ 2 3)) 2))) (sqrt PI))
92.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))
52.0ms
(* (* (fabs x) (fabs x)) (/ 2 3))
0.0ms
(sqrt PI)

simplify1.4s

Counts
307 → 307

prune5.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 (fabs x))
0.1b
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))
0.1b
(* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))
0.1b
(fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×pow1 add-cbrt-cube associate-*r* add-exp-log
16×*-un-lft-identity sqrt-prod
15×add-cube-cbrt
11×times-frac
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
5×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
1×sqrt-div associate-*r/ fma-udef div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
23.0ms
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))
12.0ms
(* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))
8.0ms
(* 2/3 (fabs x))
0.0ms
(fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
408.0ms
(* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))
160.0ms
(fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x))))
53.0ms
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))
37.0ms
(* 2/3 (fabs x))

simplify2.4s

Counts
107 → 107

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))) (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))))
0.3b
(* 2/3 (fabs x))
0.3b
(* 2/3 (fabs x))
0.1b
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
69×pow1
30×pow-prod-down
28×sqrt-pow1
22×add-cbrt-cube add-exp-log
18×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×associate-*r* associate-*l* prod-exp cbrt-unprod
10×pow1/2 pow-prod-up
8×sqrt-div
6×pow-sqr
5×associate-*r/
4×expm1-log1p-u swap-sqr *-commutative sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/
Counts
4 → 122
Calls
4 calls:
Slowest
66.0ms
(* (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))) (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))))
46.0ms
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))
7.0ms
(* 2/3 (fabs x))
5.0ms
(* 2/3 (fabs x))

series514.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
416.0ms
(* (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))) (sqrt (* (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 1/21 (pow (fabs x) 7) (* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))))) (sqrt (/ 1 PI)))))
55.0ms
(* (* 2/3 (fabs x)) (* (fabs x) (fabs x)))
24.0ms
(* 2/3 (fabs x))
19.0ms
(* 2/3 (fabs x))

simplify2.0s

Counts
134 → 134

prune3.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes400.0ms

Accuracy

0% (0.1b remaining)

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

bsearch19.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
4.9s13811×body80valid