Details

Time bar (total: 3.7m)

sample129.0ms

Algorithm
intervals
Results
72.0ms820×body80nan
32.0ms290×body80valid

simplify283.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
283.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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
22.0ms
(* 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)))))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
107.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
66.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
59.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify23.6s

Counts
148 → 183
Calls
148 calls:
Slowest
527.0ms
(* 9 (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1)))
516.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
452.0ms
(* 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))))))
440.0ms
(* (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)
379.0ms
(* (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)

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.3b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite156.0ms

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
85.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
34.0ms
(* 9 (- a (/ 1.0 3.0)))
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
10.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
181.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
166.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
104.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
76.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify48.4s

Counts
268 → 301
Calls
268 calls:
Slowest
725.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))))
599.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
557.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
464.0ms
(* (/ rand (sqrt (* 9 (- 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))))
438.0ms
(* 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))))))

prune3.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite408.0ms

Algorithm
rewrite-expression-head
Rules
239×add-sqr-sqrt
234×prod-diff
230×*-un-lft-identity
227×add-cube-cbrt
205×distribute-rgt-in distribute-lft-in
189×times-frac
32×add-exp-log
21×associate-*l*
20×add-cbrt-cube div-inv
18×pow1
15×associate-*r/
13×prod-exp
8×sqrt-prod
7×flip3-- associate-*r* cbrt-unprod flip--
6×sub-neg sqrt-div div-exp pow-prod-down
4×expm1-log1p-u frac-times associate-/r* sqrt-pow1 associate-/r/ insert-posit16 log1p-expm1-u pow-flip add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×pow1/2 associate-*l/ *-commutative difference-of-squares
1×clear-num frac-2neg distribute-lft-out-- inv-pow
Counts
4 → 385
Calls
4 calls:
Slowest
213.0ms
(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
115.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
33.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
28.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
113.0ms
(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
103.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
73.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.6m

Counts
362 → 397
Calls
362 calls:
Slowest
857.0ms
(* (* (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))))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))) rand)
825.0ms
(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (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)))))))
671.0ms
(* rand (* (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))))
654.0ms
(* rand (* (fma (- (/ 1.0 3.0)) (/ 1 1) (* (/ 1.0 3.0) (/ 1 1))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))))
642.0ms
(* rand (* (/ 1 (sqrt (* 9 (- 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)))))

prune5.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
155×add-sqr-sqrt
118×*-un-lft-identity
113×times-frac
98×add-cube-cbrt
78×prod-diff
41×distribute-rgt-in distribute-lft-in
36×associate-*r*
20×difference-of-squares
14×sqrt-prod
13×add-cbrt-cube add-exp-log
11×pow1
10×distribute-lft-out--
9×associate-*r/
8×div-inv
6×sqrt-div associate-*l* associate-/l*
5×flip3-- flip--
4×expm1-log1p-u associate-/r* associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv sub-neg sqrt-pow1 div-exp *-commutative associate-/l/
1×clear-num frac-2neg pow1/2 div-sub
Counts
4 → 230
Calls
4 calls:
Slowest
60.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
56.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
44.0ms
(* 9 (- a (/ 1.0 3.0)))
16.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
167.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
91.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
88.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
53.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify31.1s

Counts
219 → 242
Calls
219 calls:
Slowest
677.0ms
(* 9 (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))))
547.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
423.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
417.0ms
(* (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) 9)
408.0ms
(* 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))))))

prune2.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.7s27376×body80nan
2.1s9118×body80valid