Details

Time bar (total: 13.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms284×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2197
3317
4377
5417
6497
7697
81037
91787
102157
112617
123547
134717
145937
157657
1611687
1733897
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
10.0ms
(* (+ x 1.0) y)

series289.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- (* (+ x 1.0) y) x)
265.0ms
(* (+ x 1.0) y)

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (313.0ms)

IterNodesCost
063360
1149332
2499308
31909304
done5000304

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
23.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ x 1.0))
103.0ms
(cbrt (+ x 1.0))
104.0ms
(cbrt (+ x 1.0))
120.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: 3 (668.0ms)

IterNodesCost
01391485
13081358
29061288
336871148
done50001148

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) y)
0.0b
(sqrt (* (+ x 1.0) y))
0.0b
(sqrt (* (+ x 1.0) y))
0.3b
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
10.0ms
(* (+ x 1.0) y)
3.0ms
(sqrt (* (+ x 1.0) y))
3.0ms
(sqrt (* (+ x 1.0) y))
29.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (+ x 1.0) y)
100.0ms
(sqrt (* (+ x 1.0) y))
99.0ms
(sqrt (* (+ x 1.0) y))
69.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify466.0ms

Counts
116 → 116
Iterations

Useful iterations: done (463.0ms)

IterNodesCost
01241352
12591000
2986918
done5000916

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample305.0ms

Algorithm
intervals
Results
164.0ms9087×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid