Details

Time bar (total: 7.2s)

sample45.0ms

Algorithm
intervals
Results
25.0ms471×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0715
11315
22313
3369
4469
5509
done509

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* 3 (* y y)))
0.2b
(* 3 (* y y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
21.0ms
(+ (* x x) (* 3 (* y y)))
28.0ms
(* 3 (* y y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* x x) (* 3 (* y y)))
41.0ms
(* 3 (* y y))

simplify708.0ms

Counts
36 → 36
Iterations

Useful iterations: done (707.0ms)

IterNodesCost
057370
1193348
21097296
done5000288

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* 3 y) y))
0.2b
(* (* 3 y) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ (* x x) (* (* 3 y) y))
27.0ms
(* (* 3 y) y)

series72.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x x) (* (* 3 y) y))
32.0ms
(* (* 3 y) y)

simplify793.0ms

Counts
35 → 35
Iterations

Useful iterations: done (792.0ms)

IterNodesCost
059365
1189337
21221293
done5000283

prune83.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.2b
(* 3 (* y y))
6.8b
(sqrt (+ (* x x) (* 3 (* y y))))
6.8b
(sqrt (+ (* x x) (* 3 (* y y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×sqrt-div add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r* *-commutative flip-+ unswap-sqr
Counts
4 → 68
Calls
4 calls:
26.0ms
(* 3 (* y y))
31.0ms
(* 3 (* y y))
13.0ms
(sqrt (+ (* x x) (* 3 (* y y))))
13.0ms
(sqrt (+ (* x x) (* 3 (* y y))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3 (* y y))
51.0ms
(* 3 (* y y))
59.0ms
(sqrt (+ (* x x) (* 3 (* y y))))
75.0ms
(sqrt (+ (* x x) (* 3 (* y y))))

simplify631.0ms

Counts
80 → 80
Iterations

Useful iterations: done (628.0ms)

IterNodesCost
067848
1181760
2836676
done5001656

prune211.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt y) (cbrt y))
270.0ms
(cbrt y)
251.0ms
(cbrt y)
261.0ms
(cbrt y)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune231.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
199
done99

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s14469×body80valid