Details

Time bar (total: 8.3s)

sample63.0ms

Algorithm
intervals
Results
23.0ms786×body80nan
10.0ms293×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110
done500110

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×expm1-log1p-u frac-times associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 122
Calls
4 calls:
48.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
64.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
19.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
42.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
182.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
144.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
70.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify95.0ms

Counts
134 → 134
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08601389
137741282
250011276
done50011276

prune403.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×*-un-lft-identity
78×add-cube-cbrt prod-diff
60×times-frac
42×distribute-rgt-in distribute-lft-in
13×add-exp-log add-cbrt-cube
11×pow1
10×associate-*r*
9×associate-*l*
8×associate-*r/
7×div-inv
6×flip3-- flip--
4×expm1-log1p-u frac-times sqrt-div associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out associate-/l*
Counts
4 → 183
Calls
4 calls:
49.0ms
(* 9.0 (- a (/ 1.0 3.0)))
92.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
21.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
42.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (- a (/ 1.0 3.0)))
117.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
190.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify48.0ms

Counts
195 → 195
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011573009
150022366
done50022366

prune373.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt 9.0) (- a (/ 1.0 3.0)))
0.2b
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))
0.4b
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))

rewrite360.0ms

Algorithm
rewrite-expression-head
Rules
234×prod-diff
222×add-sqr-sqrt
215×*-un-lft-identity
213×add-cube-cbrt
205×distribute-rgt-in distribute-lft-in
167×times-frac
31×pow1
23×add-exp-log
19×div-inv
17×pow-prod-down
16×add-cbrt-cube
14×associate-*r/
10×prod-exp cbrt-unprod
7×associate-*r* associate-*l*
6×sub-neg
5×sqrt-pow1
4×cbrt-prod expm1-log1p-u flip3-- sqrt-div associate-/r* flip-- log1p-expm1-u add-log-exp
3×sqrt-prod
2×cbrt-undiv div-exp associate-/r/ *-commutative difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/l* distribute-lft-out--
Counts
4 → 346
Calls
4 calls:
50.0ms
(* (cbrt 9.0) (- a (/ 1.0 3.0)))
63.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
90.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))
131.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (cbrt 9.0) (- a (/ 1.0 3.0)))
213.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
120.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))
88.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))

simplify83.0ms

Counts
358 → 358
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
019218704
150017002
done50017002

prune523.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))
0.3b
(* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))
0.4b
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
656×distribute-rgt-in distribute-lft-in
468×prod-diff
414×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
328×times-frac
99×pow1
70×pow-prod-down
62×add-exp-log
40×prod-exp cbrt-unprod
37×div-inv
34×add-cbrt-cube
22×associate-*r/
12×sub-neg
11×sqrt-pow1
4×expm1-log1p-u flip3-- sqrt-div associate-/r* flip-- log1p-expm1-u add-log-exp
3×sqrt-prod
2×cbrt-undiv div-exp associate-*r* associate-*l* associate-/r/ *-commutative
1×frac-2neg pow1/2 clear-num associate-/l*
Counts
4 → 613
Calls
4 calls:
199.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))))
279.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))
95.0ms
(* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))
368.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))))
135.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))
89.0ms
(* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))
95.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))))

simplify203.0ms

Counts
625 → 625
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0397324324
1500222040
done500222040

prune625.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02522
12522
done2522

end0.0ms

sample1.9s

Algorithm
intervals
Results
813.0ms26697×body80nan
307.0ms9079×body80valid