Details

Time bar (total: 15.6s)

sample31.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms256×pre80true

simplify215.0ms

Counts
1 → 1
Iterations
IterNodes
done174
7174
6160
5140
4110
365
227
111
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
71.0ms
(* (+ a b) (+ a b))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (+ a b) (+ a b))

simplify5.2s

Counts
45 → 45
Iterations
IterNodes
done5000
34168
2834
1231
064

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b
(* a (* a a))
0.4b
(/ (* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a)))) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a))))
0.4b
(* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a))))
0.5b
(* (fma b (- b a) (* a a)) (fma b (- b a) (* a a)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
25×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×associate-*l* prod-exp cbrt-unprod
7×associate-*r* pow-prod-up
6×swap-sqr
5×pow-prod-down
4×cbrt-undiv expm1-log1p-u div-exp fma-udef log1p-expm1-u add-log-exp
3×pow2 pow-plus pow-sqr *-commutative unswap-sqr
2×distribute-rgt-in distribute-lft-in
1×frac-2neg times-frac cube-unmult clear-num associate-/r* div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
35.0ms
(* a (* a a))
28.0ms
(/ (* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a)))) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a))))
14.0ms
(* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a))))
15.0ms
(* (fma b (- b a) (* a a)) (fma b (- b a) (* a a)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* a (* a a))
124.0ms
(/ (* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a)))) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a))))
142.0ms
(* (fma (* b b) b (* a (* a a))) (fma (* b b) b (* a (* a a))))
110.0ms
(* (fma b (- b a) (* a a)) (fma b (- b a) (* a a)))

simplify2.6s

Counts
119 → 119
Iterations
IterNodes
done5001
21491
1364
0154

prune805.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ a b))
0.0b
(sqrt (+ a b))
0.3b
(* (sqrt (+ a b)) (+ a b))
0.3b
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
23×add-sqr-sqrt
21×*-un-lft-identity
17×sqrt-prod
16×associate-*r/
15×pow-prod-up
14×associate-*l*
12×sqrt-pow1 pow1/2
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square cube-unmult *-commutative hypot-def unswap-sqr
Counts
4 → 142
Calls
4 calls:
16.0ms
(sqrt (+ a b))
16.0ms
(sqrt (+ a b))
79.0ms
(* (sqrt (+ a b)) (+ a b))
143.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (+ a b))
69.0ms
(sqrt (+ a b))
101.0ms
(* (sqrt (+ a b)) (+ a b))
65.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

simplify3.1s

Counts
154 → 154
Iterations
IterNodes
done5002
21927
1599
0186

prune958.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample832.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid
245.0ms8000×pre80true