Details

Time bar (total: 24.7s)

sample196.0ms

Algorithm
intervals
Results
114.0ms1060×body80nan
25.0ms300×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
73827
61760
5891
4462
3190
272
127
013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×frac-times associate-/r* associate-/r/ 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 clear-num frac-2neg distribute-lft-in pow1/2 distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
58.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
10.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
13.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
64.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series787.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
96.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
247.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
264.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify2.6s

Counts
126 → 126
Iterations
IterNodes
done5000
24538
1857
0303

prune793.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand)
0.3b
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cbrt-cube add-exp-log
16×associate-*l*
13×*-un-lft-identity
11×pow1 associate-*l/ add-cube-cbrt
9×times-frac
6×sqrt-div associate-*r* prod-exp cbrt-unprod
5×flip3-- flip--
4×cbrt-undiv associate-/r* div-exp associate-/r/ sqrt-prod add-log-exp
3×pow-prod-down
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr associate-/l/
1×clear-num frac-2neg pow1/2 associate-/l* distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
34.0ms
(* (- a (/ 1.0 3.0)) 9.0)
10.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
118.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand)
31.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (- a (/ 1.0 3.0)) 9.0)
106.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
264.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand)
176.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
done5000
23627
1662
0242

prune654.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
4.9b
(* (* (- a (/ 1.0 3.0)) 1.0) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube add-exp-log
14×pow1 associate-*l/
8×sqrt-prod
7×associate-*l* prod-exp cbrt-unprod
6×flip3-- sqrt-div flip--
5×pow-prod-down
4×associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares
1×clear-num frac-2neg pow1/2 associate-*r/ distribute-lft-out-- unswap-sqr
Counts
4 → 111
Calls
4 calls:
49.0ms
(* (- a (/ 1.0 3.0)) 9.0)
10.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
26.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
126.0ms
(* (* (- a (/ 1.0 3.0)) 1.0) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series676.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- a (/ 1.0 3.0)) 9.0)
90.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
241.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
295.0ms
(* (* (- a (/ 1.0 3.0)) 1.0) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

simplify2.5s

Counts
123 → 123
Iterations
IterNodes
done5000
24242
1768
0275

prune789.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite643.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
19×associate-*l/
17×pow1
13×add-sqr-sqrt
11×*-un-lft-identity associate-*l* add-cube-cbrt
9×associate-*r*
8×times-frac prod-exp cbrt-unprod
7×pow-prod-down sqrt-prod
6×sqrt-div
5×flip3-- flip--
4×cbrt-undiv associate-/r* div-exp associate-/r/ add-log-exp
3×sqrt-pow1
2×*-commutative div-inv associate-/l/
1×clear-num frac-2neg pow1/2 associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
57.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
97.0ms
(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))
384.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))) rand)
100.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
148.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
138.0ms
(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))
437.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))) rand)
298.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))

simplify2.6s

Counts
106 → 106
Iterations
IterNodes
done5002
24734
1834
0290

prune640.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.4s27800×body80nan
727.0ms9071×body80valid