Details

Time bar (total: 22.6s)

sample140.0ms

Algorithm
intervals
Results
111.0ms412×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2001
42001
31089
2240
174
028

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite700.0ms

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×insert-posit16 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 → 141
Calls
4 calls:
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
597.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
68.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series167.0ms

Counts
4 → 10
Calls
4 calls:
41.0ms
(* (* (fabs x) (fabs x)) (fabs x))
68.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
57.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify950.0ms

Counts
151 → 151
Iterations
IterNodes
done2000
22000
1637
0226

prune799.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite757.0ms

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×insert-posit16 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 → 141
Calls
4 calls:
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
661.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
58.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series182.0ms

Counts
4 → 10
Calls
4 calls:
28.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
71.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.1s

Counts
151 → 151
Iterations
IterNodes
done2000
22000
1644
0228

prune744.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
28×pow1
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube add-exp-log
18×times-frac
15×sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
6×associate-/r* associate-*l*
5×pow-prod-up
4×insert-posit16 add-log-exp
3×associate-/l*
2×associate-*r* *-commutative associate-/l/
1×pow2 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ pow-plus pow1/2 cube-unmult div-exp pow-sqr flip-+ div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
14.0ms
(* (fabs x) (* (fabs x) (fabs x)))
38.0ms
(* 2/3 (* (fabs x) (* (fabs x) (fabs x))))
1.8s
(/ (+ (* 2 (fabs x)) (+ (+ (* 2/3 (* (fabs x) (* (fabs x) (fabs x)))) (/ (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 5)) (* 1/21 (* (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))))))) (sqrt PI))
2.0ms
(sqrt PI)

series439.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (fabs x) (* (fabs x) (fabs x)))
50.0ms
(* 2/3 (* (fabs x) (* (fabs x) (fabs x))))
362.0ms
(/ (+ (* 2 (fabs x)) (+ (+ (* 2/3 (* (fabs x) (* (fabs x) (fabs x)))) (/ (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 5)) (* 1/21 (* (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify1.5s

Counts
113 → 113
Iterations
IterNodes
done2003
32003
21370
1378
0161

prune661.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
28×pow1
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube add-exp-log
18×times-frac
15×sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
6×associate-/r* associate-*l*
5×pow-prod-up
4×insert-posit16 add-log-exp
3×associate-/l*
2×associate-*r* *-commutative associate-/l/
1×pow2 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ pow-plus pow1/2 cube-unmult div-exp pow-sqr flip-+ div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
14.0ms
(* (fabs x) (* (fabs x) (fabs x)))
57.0ms
(* 2/3 (* (fabs x) (* (fabs x) (fabs x))))
1.9s
(/ (+ (* 2 (fabs x)) (+ (+ (* 2/3 (* (fabs x) (* (fabs x) (fabs x)))) (/ (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 5)) (* 1/21 (* (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (pow (fabs x) 3)))))) (sqrt PI))
1.0ms
(sqrt PI)

series474.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(* (fabs x) (* (fabs x) (fabs x)))
57.0ms
(* 2/3 (* (fabs x) (* (fabs x) (fabs x))))
371.0ms
(/ (+ (* 2 (fabs x)) (+ (+ (* 2/3 (* (fabs x) (* (fabs x) (fabs x)))) (/ (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) 5)) (* 1/21 (* (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (pow (fabs x) 3)))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify1.7s

Counts
113 → 113
Iterations
IterNodes
done2000
32000
21384
1381
0162

prune738.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes320.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done46
146
028

end0.0ms

sample5.4s

Algorithm
intervals
Results
5.2s13869×body80valid