Details

Time bar (total: 18.5s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
9.0ms256×body80valid

simplify90.0ms

Counts
1 → 1
Iterations
IterNodes
8149
7149
6145
5129
4105
365
227
111
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
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 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 43
Calls
1 calls:
25.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ a b) (+ a b))

simplify1.4s

Counts
46 → 46
Iterations
IterNodes
34091
2883
1226
065

prune281.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma a (* 2 b) (fma a a (* b b)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma a (* 2 b) (fma a a (* b b)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma a (* 2 b) (fma a a (* b b)))

simplify6.7s

Counts
14 → 14
Iterations
IterNodes
510163
41547
3280
285
145
024

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fma (- b a) b (* a a)) (- a b))
0.2b
(* (* b b) (fma (* b b) b (* (* a a) a)))
0.4b
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (fma (- b a) b (* a a)) (- a b)))
0.4b
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
16×add-cbrt-cube add-exp-log
12×distribute-rgt-in distribute-lft-in
11×pow1
8×associate-*r*
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp associate-/r/ *-commutative flip-- unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 108
Calls
4 calls:
21.0ms
(* (fma (- b a) b (* a a)) (- a b))
22.0ms
(* (* b b) (fma (* b b) b (* (* a a) a)))
14.0ms
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (fma (- b a) b (* a a)) (- a b)))
0.0ms
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (fma (- b a) b (* a a)) (- a b))
107.0ms
(* (* b b) (fma (* b b) b (* (* a a) a)))
107.0ms
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (fma (- b a) b (* a a)) (- a b)))
123.0ms
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))

simplify2.9s

Counts
120 → 120
Iterations
IterNodes
36480
21466
1467
0208

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* b b) (fma (* b b) b (* (* a a) a)))
0.4b
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b)))))
0.4b
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))
0.4b
(* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1
28×sqrt-pow1 associate-*r/
24×sqrt-div
23×pow-prod-down
16×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×flip3-- flip--
11×*-un-lft-identity add-cube-cbrt
10×pow1/2 pow-prod-up
8×frac-times associate-/r/
7×associate-*r*
6×pow-sqr
5×associate-*l* prod-exp cbrt-unprod
4×expm1-log1p-u swap-sqr associate-*l/ sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef associate-/l*
2×cbrt-undiv div-exp *-commutative unswap-sqr
1×pow2 distribute-rgt-in clear-num associate-/r* rem-square-sqrt frac-2neg distribute-lft-in pow-plus sqrt-unprod div-inv
Counts
4 → 127
Calls
4 calls:
15.0ms
(* (* b b) (fma (* b b) b (* (* a a) a)))
45.0ms
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b)))))
0.0ms
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))
63.0ms
(* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b))))

series398.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* b b) (fma (* b b) b (* (* a a) a)))
109.0ms
(/ (fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a))))) (* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b)))))
139.0ms
(fma (* a a) (fma (* b b) b (* (* a a) a)) (- (* (* b b) (fma (* b b) b (* (* a a) a)))))
55.0ms
(* (sqrt (* (fma (- b a) b (* a a)) (- a b))) (sqrt (* (fma (- b a) b (* a a)) (- a b))))

simplify2.4s

Counts
139 → 139
Iterations
IterNodes
37409
21419
1448
0189

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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
28
18
07

end0.0ms

sample719.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
259.0ms8000×pre80true