Details

Time bar (total: 4.2m)

sample216.0ms

Algorithm
intervals
Results
134.0ms851×body80nan
41.0ms285×body80valid

simplify245.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
245.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0b
(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)))

rewrite68.0ms

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
26.0ms
(* 9 (- a (/ 1.0 3.0)))
21.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
17.0ms
(/ 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)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
102.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
92.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
55.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify23.7s

Counts
148 → 183
Calls
148 calls:
Slowest
573.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
539.0ms
(* (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) 9)
455.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
419.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
400.0ms
(* 9 (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))))

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

8.2b
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.3b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
177×add-sqr-sqrt
164×*-un-lft-identity
160×add-cube-cbrt
156×prod-diff
135×times-frac
82×distribute-rgt-in distribute-lft-in
21×associate-*l*
14×div-inv
13×add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
10×associate-*r/
8×sqrt-prod
6×flip3-- sqrt-div flip--
4×expm1-log1p-u associate-/r* sub-neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv sqrt-pow1 div-exp *-commutative distribute-lft-out--
1×clear-num frac-2neg pow1/2 associate-*l/
Counts
4 → 289
Calls
4 calls:
Slowest
80.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
42.0ms
(* 9 (- a (/ 1.0 3.0)))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
10.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
149.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
94.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
55.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify50.3s

Counts
268 → 301
Calls
268 calls:
Slowest
744.0ms
(* (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
670.0ms
(* (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) 9)
636.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
462.0ms
(* (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
453.0ms
(* (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))) 9)

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

8.2b
(* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.3b
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(+ (* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
774×add-sqr-sqrt
611×*-un-lft-identity
514×add-cube-cbrt
452×sqrt-prod
204×associate-*l*
195×prod-diff
94×difference-of-squares
82×distribute-rgt-in associate-+l+ distribute-lft-in
48×distribute-lft-out--
41×associate-+r+
36×div-inv
22×associate-/l*
18×add-cbrt-cube add-exp-log
14×flip3-- flip--
10×frac-add
9×associate-/r* add-log-exp
7×pow1 unswap-sqr
6×frac-times cbrt-undiv sqrt-div div-exp associate-*r* associate-*r/
5×sub-neg
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u
3×associate-*l/ prod-exp cbrt-unprod
2×sum-log distribute-rgt-out
1×+-commutative rem-sqrt-square clear-num associate-+r- fma-def frac-2neg distribute-lft1-in sqrt-pow1 flip3-+ pow1/2 diff-log pow-prod-down *-commutative flip-+ associate-/l/
Counts
4 → 745
Calls
4 calls:
Slowest
83.0ms
(* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
72.0ms
(+ (* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))
32.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
26.0ms
(sqrt (- a (/ 1.0 3.0)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
177.0ms
(* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
114.0ms
(+ (* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))
73.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify1.8m

Counts
924 → 757
Calls
924 calls:
Slowest
989.0ms
(* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (fma (sqrt a) (sqrt a) (- (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))))
872.0ms
(* (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))
807.0ms
(/ (/ (* (cbrt rand) (cbrt rand)) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0))))))
655.0ms
(+ (* (* (/ rand (sqrt 9)) (- (pow a 3) (pow (/ 1.0 3.0) 3))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (* (* (sqrt (- a (/ 1.0 3.0))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (- (pow a 3) (pow (/ 1.0 3.0) 3))))
586.0ms
(* (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))

prune9.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

61.9b
(fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))
8.2b
(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) 3))
0.3b
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ rand (sqrt (- a (/ 1.0 3.0))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
490×times-frac
408×add-sqr-sqrt
290×*-un-lft-identity
272×sqrt-prod
224×add-cube-cbrt
66×difference-of-squares
33×associate-*l* distribute-lft-out--
25×associate-/l*
23×add-cbrt-cube add-exp-log
22×associate-*r*
18×associate-/r*
14×div-inv
8×cbrt-undiv div-exp
6×pow1 sqrt-div associate-/r/ unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip--
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef associate-/l/
Counts
4 → 400
Calls
4 calls:
Slowest
57.0ms
(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) 3))
20.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
11.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0ms
(fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))

series385.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
153.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
127.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
105.0ms
(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) 3))
0.0ms
(fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))

simplify33.8s

Counts
587 → 410
Calls
587 calls:
Slowest
720.0ms
(* (/ (* (* rand rand) rand) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* 3 3) 3)))
584.0ms
(/ (/ (* (* rand rand) rand) (* (* (sqrt 9) (sqrt 9)) (sqrt 9))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
478.0ms
(/ (* (* (/ rand (sqrt 9)) (/ rand (sqrt 9))) (/ rand (sqrt 9))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
424.0ms
(/ (/ (* (cbrt rand) (cbrt rand)) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0))))))
369.0ms
(* (/ (* (* rand rand) rand) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))) (* (* (/ (- a (/ 1.0 3.0)) 3) (/ (- a (/ 1.0 3.0)) 3)) (/ (- a (/ 1.0 3.0)) 3)))

prune6.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
4.3s27227×body80nan
1.3s9123×body80valid