Details

Time bar (total: 13.6s)

sample31.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
8.0ms256×pre80true

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
97518
81823
7729
6377
5207
4106
348
230
114
04

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×pow2 +-commutative sum-log fma-def distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 44
Calls
2 calls:
19.0ms
(+ (* x (* x x)) (* x x))
16.0ms
(* x (* x x))

series139.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(+ (* x (* x x)) (* x x))
51.0ms
(* x (* x x))

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
32811
2545
1160
063

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(* x (* x x))
29.8b
(sqrt (+ (* x (* x x)) (* x x)))
29.8b
(sqrt (+ (* x (* x x)) (* x x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
10×pow-prod-up sqrt-prod
8×*-un-lft-identity add-cube-cbrt
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
2×pow2 rem-sqrt-square distribute-lft1-in sqrt-pow1 flip3-+ pow-plus pow1/2 cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 94
Calls
4 calls:
19.0ms
(* x (* x x))
19.0ms
(* x (* x x))
30.0ms
(sqrt (+ (* x (* x x)) (* x x)))
24.0ms
(sqrt (+ (* x (* x x)) (* x x)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (* x x))
47.0ms
(* x (* x x))
47.0ms
(sqrt (+ (* x (* x x)) (* x x)))
51.0ms
(sqrt (+ (* x (* x x)) (* x x)))

simplify915.0ms

Counts
106 → 106
Iterations
IterNodes
32372
2546
1193
089

prune705.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
30.9b
(cbrt (+ (* x (* x x)) (* x x)))
30.9b
(cbrt (+ (* x (* x x)) (* x x)))
30.9b
(cbrt (+ (* x (* x x)) (* x x)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
8×swap-sqr associate-*r* associate-*l*
7×distribute-lft1-in distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
135.0ms
(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
16.0ms
(cbrt (+ (* x (* x x)) (* x x)))
11.0ms
(cbrt (+ (* x (* x x)) (* x x)))
12.0ms
(cbrt (+ (* x (* x x)) (* x x)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
57.0ms
(cbrt (+ (* x (* x x)) (* x x)))
60.0ms
(cbrt (+ (* x (* x x)) (* x x)))
53.0ms
(cbrt (+ (* x (* x x)) (* x x)))

simplify2.1s

Counts
123 → 123
Iterations
IterNodes
34083
21048
1359
0147

prune982.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
26
16
04

end0.0ms

sample753.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid
233.0ms8000×pre80true