Details

Time bar (total: 13.6s)

sample34.0ms

Algorithm
intervals
Results
14.0ms315×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
64079
5803
4229
384
234
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z (- y 1.0)))
0.0b
(* z (- y 1.0))
3.9b
(* x (+ 1.0 (* z (- y 1.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*r*
7×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*l*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-+r+ sub-neg associate-*r/
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 63
Calls
3 calls:
9.0ms
(+ 1.0 (* z (- y 1.0)))
16.0ms
(* z (- y 1.0))
26.0ms
(* x (+ 1.0 (* z (- y 1.0))))

series156.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ 1.0 (* z (- y 1.0)))
43.0ms
(* z (- y 1.0))
80.0ms
(* x (+ 1.0 (* z (- y 1.0))))

simplify597.0ms

Counts
72 → 72
Iterations
IterNodes
done5001
21141
1298
0107

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (- y 1.0) (* z x)))
2.4b
(* (- y 1.0) (* z x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-*l/
1×+-commutative sum-log flip3-+ flip3-- associate-*r* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (- y 1.0) (* z x)))
56.0ms
(* (- y 1.0) (* z x))

series165.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(+ (* x 1.0) (* (- y 1.0) (* z x)))
60.0ms
(* (- y 1.0) (* z x))

simplify839.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2946
1223
080

prune171.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.3b
(* z (* x (cbrt (- y 1.0))))
1.9b
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* z (* x (cbrt (- y 1.0)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
48×associate-*r/
30×pow1 flip3-- add-exp-log flip--
28×frac-times
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
14×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
7×add-cube-cbrt
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 104
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
6.0ms
(cbrt (- y 1.0))
30.0ms
(* z (* x (cbrt (- y 1.0))))
142.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* z (* x (cbrt (- y 1.0)))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (- y 1.0))
136.0ms
(cbrt (- y 1.0))
202.0ms
(* z (* x (cbrt (- y 1.0))))
102.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* z (* x (cbrt (- y 1.0)))))

simplify966.0ms

Counts
116 → 116
Iterations
IterNodes
done5001
22160
1605
0220

prune591.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.5b
(* (* z x) (cbrt (- y 1.0)))
0.9b
(* (cbrt (- y 1.0)) (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))))
1.1b
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

rewrite455.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
32×frac-times pow1 add-exp-log
20×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
17×associate-*r*
16×add-cbrt-cube
11×add-cube-cbrt
10×associate-*l* associate-*l/
4×distribute-lft-out-- add-log-exp difference-of-squares
3×*-commutative
1×pow1/3
Counts
4 → 129
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
32.0ms
(* (* z x) (cbrt (- y 1.0)))
297.0ms
(* (cbrt (- y 1.0)) (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))))
116.0ms
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (- y 1.0))
165.0ms
(* (* z x) (cbrt (- y 1.0)))
98.0ms
(* (cbrt (- y 1.0)) (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))))
218.0ms
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

simplify2.2s

Counts
141 → 141
Iterations
IterNodes
done5001
23783
1734
0262

prune803.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
873.0ms10112×body80valid