Details

Time bar (total: 32.6s)

sample213.0ms

Algorithm
intervals
Results
134.0ms873×body80nan
39.0ms289×body80valid

simplify1.9s

Counts
1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
9×pow1
8×add-cbrt-cube add-exp-log
7×div-inv
6×associate-*r* associate-*r/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 171
Calls
4 calls:
Slowest
44.0ms
(* 9 (- a (/ 1.0 3.0)))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
11.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
103.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
73.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
56.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify977.0ms

Counts
183 → 183

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
0.1b
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.0b
(sqrt (- a (/ 1.0 3.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
178×add-sqr-sqrt
132×*-un-lft-identity
102×add-cube-cbrt
90×sqrt-prod
30×difference-of-squares
15×distribute-lft-out--
13×associate-/l*
11×div-inv
9×associate-/r*
8×add-cbrt-cube add-exp-log
4×pow1 sqrt-div
3×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- associate-/r/ flip--
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef associate-/l/
Counts
3 → 191
Calls
3 calls:
Slowest
29.0ms
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
21.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series370.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
186.0ms
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
119.0ms
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
65.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify1.1s

Counts
200 → 200

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt 1.0) (sqrt 3.0))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))
0.3b
(/ (/ rand 3) (sqrt (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))))
0.3b
(/ 1 (sqrt (+ (/ (sqrt 1.0) (sqrt 3.0)) (sqrt a))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
622×add-sqr-sqrt
588×times-frac
478×sqrt-prod
266×*-un-lft-identity
230×add-cube-cbrt
140×difference-of-squares
36×associate-/r*
28×associate-/l*
22×div-inv
17×add-exp-log
15×add-cbrt-cube
14×distribute-lft-out--
7×div-exp
6×pow1 cbrt-undiv
4×expm1-log1p-u clear-num frac-2neg sqrt-div associate-/r/ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
3×pow-flip
2×sqrt-undiv
1×rec-exp sqrt-pow1 flip3-+ flip3-- pow1/2 1-exp flip-+ flip-- inv-pow associate-/l/
Counts
4 → 453
Calls
4 calls:
Slowest
39.0ms
(/ 1 (sqrt (+ (/ (sqrt 1.0) (sqrt 3.0)) (sqrt a))))
29.0ms
(/ (/ rand 3) (sqrt (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series2.1s

Counts
4 → 8
Calls
4 calls:
Slowest
1.5s
(/ (/ rand 3) (sqrt (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))))
627.0ms
(/ 1 (sqrt (+ (/ (sqrt 1.0) (sqrt 3.0)) (sqrt a))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify1.5s

Counts
461 → 461

prune8.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.3b
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
85×times-frac
63×sqrt-prod
54×*-un-lft-identity
48×add-cube-cbrt
30×add-exp-log
27×associate-*r* associate-*l*
18×add-cbrt-cube
17×pow1
16×sqrt-div
15×unswap-sqr
11×associate-*r/
10×sqrt-pow1 div-exp
8×prod-exp
7×associate-/r*
6×associate-/r/ pow-flip
5×cbrt-undiv flip3-- flip--
4×expm1-log1p-u pow1/2 pow-prod-down cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp div-inv associate-/l*
1×frac-times clear-num frac-2neg associate-*l/ *-commutative inv-pow
Counts
4 → 185
Calls
4 calls:
Slowest
169.0ms
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))
25.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
19.0ms
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
19.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series749.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))
255.0ms
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
100.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
82.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.2s

Counts
197 → 197

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.8s27401×body80nan
1.6s9145×body80valid