Details

Time bar (total: 23.3s)

sample157.0ms

Algorithm
intervals
Results
94.0ms799×body80nan
28.0ms284×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2001
52001
4794
3241
280
130
014

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9 (- a (/ 1.0 3.0)))
0.1b
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
0.2b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
1.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
98×*-un-lft-identity
86×add-cube-cbrt
84×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
12×difference-of-squares
9×pow1
8×add-cbrt-cube add-exp-log sqrt-prod
7×div-inv
6×associate-*r* associate-*r/ associate-/l* distribute-lft-out--
4×expm1-log1p-u associate-/r* flip3-- sqrt-div insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-*l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg pow1/2 div-sub div-exp prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 189
Calls
4 calls:
24.0ms
(* 9 (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
42.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* 9 (- a (/ 1.0 3.0)))
125.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
95.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
88.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
201 → 201
Iterations
IterNodes
done2004
22004
1953
0432

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
0.2b
(/ (sqrt (- a (/ 1.0 3.0))) 3)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
32×*-un-lft-identity times-frac
30×sqrt-prod
22×add-cube-cbrt
10×difference-of-squares
9×associate-/l*
5×add-cbrt-cube add-exp-log distribute-lft-out--
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp fma-udef div-inv
Counts
3 → 88
Calls
3 calls:
14.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
15.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

series286.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(sqrt (- a (/ 1.0 3.0)))
129.0ms
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
105.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

simplify960.0ms

Counts
97 → 97
Iterations
IterNodes
done2001
32001
2805
1350
0176

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1.0 (cbrt 3.0))
1.0b
(/ 1.0 (cbrt 3.0))
1.1b
(sqrt (+ (* 9 (fma (sqrt a) (sqrt a) (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))) (* 9 (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))))
61.9b
(fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt times-frac
35×*-un-lft-identity add-cube-cbrt
24×cbrt-prod
12×associate-/r*
8×add-exp-log
6×add-cbrt-cube associate-/l*
5×pow1
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg sqrt-div div-exp div-inv
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+ fma-udef distribute-lft-out
Counts
4 → 114
Calls
4 calls:
4.0ms
(/ 1.0 (cbrt 3.0))
4.0ms
(/ 1.0 (cbrt 3.0))
8.0ms
(sqrt (+ (* 9 (fma (sqrt a) (sqrt a) (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))) (* 9 (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))))
1.0ms
(fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))

series1.0s

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(/ 1.0 (cbrt 3.0))
1.0s
(sqrt (+ (* 9 (fma (sqrt a) (sqrt a) (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))) (* 9 (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))))))
0.0ms
(fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))

simplify1.4s

Counts
120 → 120
Iterations
IterNodes
done2003
32003
2926
1334
0156

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
0.2b
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.3b
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
1.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
196×add-sqr-sqrt
133×*-un-lft-identity
91×add-cube-cbrt
42×difference-of-squares
36×associate-/r*
32×sqrt-prod
21×distribute-lft-out--
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×pow1 div-exp
7×flip3-- flip-- associate-/l*
6×div-inv
4×expm1-log1p-u cbrt-undiv sqrt-div associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg sqrt-pow1 1-exp associate-/l/
1×pow1/2 pow-prod-down fma-udef pow-flip inv-pow
Counts
4 → 227
Calls
4 calls:
0.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
28.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
28.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
24.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
128.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
110.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
90.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
239 → 239
Iterations
IterNodes
done2004
22004
1955
0386

prune2.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample6.1s

Algorithm
intervals
Results
4.0s28124×body80nan
1.2s9108×body80valid