Details

Time bar (total: 1.4m)

sample166.0ms

Algorithm
intervals
Results
86.0ms848×body80nan
52.0ms291×body80valid

simplify205.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
205.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(- a (/ 1.0 3.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
59×times-frac
48×*-un-lft-identity
30×associate-*r*
28×add-cube-cbrt
20×difference-of-squares
14×sqrt-prod
11×add-cbrt-cube add-exp-log
10×distribute-lft-out--
9×pow1
7×associate-*r/
6×sqrt-div associate-/l* add-log-exp
5×flip3-- flip--
4×associate-/r* associate-/r/ insert-posit16
3×associate-*l*
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg pow1/2 diff-log div-sub *-commutative
Counts
4 → 132
Calls
4 calls:
Slowest
62.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
27.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
15.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
11.0ms
(- a (/ 1.0 3.0))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
104.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
83.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
30.0ms
(- a (/ 1.0 3.0))

simplify10.9s

Counts
128 → 144
Calls
128 calls:
Slowest
361.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
349.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
321.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0)))))))
307.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
296.0ms
(sqrt (* 9 (- (pow a 3) (pow (/ 1.0 3.0) 3))))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
19×add-exp-log
15×pow1
13×add-cbrt-cube
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
5×prod-exp
4×frac-times associate-/r* sqrt-pow1 div-exp pow-prod-down associate-/r/ insert-posit16 pow-flip add-log-exp unswap-sqr
3×flip3-+ associate-*l/ cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv rec-exp pow1/2 1-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in distribute-lft-out-- inv-pow
Counts
4 → 128
Calls
4 calls:
Slowest
90.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
53.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
24.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
185.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
108.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
93.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
91.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

simplify13.2s

Counts
114 → 140
Calls
114 calls:
Slowest
730.0ms
(* (* (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand))
653.0ms
(/ (* (* 1 1) 1) (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0))))))
427.0ms
(- (* 1/3 (sqrt -3.0)) (+ (* 1.5 (/ a (sqrt -3.0))) (+ (* 4.5 (/ (pow a 2) (sqrt -3.0))) (* 3.375 (/ (pow a 2) (pow (sqrt -3.0) 3))))))
404.0ms
(* (+ a (/ 1.0 3.0)) (- 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
397.0ms
(* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (+ (pow 1 3) (pow (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand) 3)))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
0.3b
(* rand (/ 1 (sqrt 9)))
0.0b
(- a (/ 1.0 3.0))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
241×add-sqr-sqrt
163×times-frac
132×*-un-lft-identity
89×sqrt-prod
82×associate-*r*
66×difference-of-squares
64×add-cube-cbrt
50×add-exp-log
33×distribute-lft-out--
32×add-cbrt-cube
22×prod-exp
14×pow1
12×div-exp cbrt-unprod
9×associate-/r*
7×cbrt-undiv
6×associate-/l* add-log-exp
5×unswap-sqr
4×flip3-- sqrt-div associate-*l* pow-prod-down associate-*r/ associate-/r/ insert-posit16 flip--
3×rec-exp 1-exp un-div-inv div-inv
2×frac-times associate-*l/ *-commutative pow-div associate-/l/
1×clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub
Counts
4 → 246
Calls
4 calls:
Slowest
100.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
46.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
22.0ms
(* rand (/ 1 (sqrt 9)))
12.0ms
(- a (/ 1.0 3.0))

series271.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
73.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
36.0ms
(- a (/ 1.0 3.0))
22.0ms
(* rand (/ 1 (sqrt 9)))

simplify17.1s

Counts
278 → 258
Calls
278 calls:
Slowest
539.0ms
(* (* (* (* rand (/ 1 (sqrt 9))) (* rand (/ 1 (sqrt 9)))) (* rand (/ 1 (sqrt 9)))) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
449.0ms
(* (* (* (* rand rand) rand) (* (* (/ 1 (sqrt 9)) (/ 1 (sqrt 9))) (/ 1 (sqrt 9)))) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
444.0ms
(/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
444.0ms
(* (* (* (* rand (/ 1 (sqrt 9))) (* rand (/ 1 (sqrt 9)))) (* rand (/ 1 (sqrt 9)))) (* (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))))
352.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune3.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

40.9b
(/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))
0.3b
(* a (/ 1.0 3.0))
0.2b
(* rand (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))))
0.2b
(* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
28×add-sqr-sqrt
26×associate-*r/
25×add-cbrt-cube add-exp-log
19×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-div
16×associate-/r/
12×frac-times
10×pow1 flip3-- associate-*l* flip--
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
6×cube-unmult associate-*l/
5×cbrt-undiv div-exp
4×insert-posit16 associate-/l* add-log-exp unswap-sqr
3×difference-cubes pow-prod-down *-commutative div-inv
2×associate-/l/
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in div-sub sqrt-prod
Counts
4 → 135
Calls
4 calls:
Slowest
625.0ms
(/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))
371.0ms
(* rand (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))))
132.0ms
(* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))
18.0ms
(* a (/ 1.0 3.0))

series842.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(* rand (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))))
269.0ms
(/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))
188.0ms
(* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))
23.0ms
(* a (/ 1.0 3.0))

simplify23.4s

Counts
116 → 147
Calls
116 calls:
Slowest
1.2s
(/ (* (* (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (* (* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))))
976.0ms
(/ (* (* (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))))
849.0ms
(* (* (* rand rand) rand) (* (* (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))) (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))) (/ (- (* a (* a a)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))))
782.0ms
(* (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (* (* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))))
430.0ms
(* (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (- (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune2.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.7s26878×body80nan
1.2s9100×body80valid