Details

Time bar (total: 9.1s)

sample31.0ms

Algorithm
intervals
Results
13.0ms329×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
212
19
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log *-un-lft-identity
2×add-sqr-sqrt pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
6.0ms
(+ (* x x) y)
60.0ms
(+ (+ (* x x) y) y)

series62.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x x) y)
40.0ms
(+ (+ (* x x) y) y)

simplify455.0ms

Counts
31 → 31
Iterations
IterNodes
done5001
2737
1163
048

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 13
Calls
1 calls:
15.0ms
(+ (* x x) (+ y y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ (* x x) (+ y y))

simplify3.0s

Counts
16 → 16
Iterations
IterNodes
done5000
34438
2605
1117
034

prune58.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) y)
0.0b
(+ (/ (- (pow x 4) (* y y)) (- (* x x) y)) y)
1.7b
(- (pow x 4) (* y y))
28.4b
(/ (- (pow x 4) (* y y)) (- (* x x) y))

rewrite549.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×difference-of-squares
24×times-frac
18×*-un-lft-identity
16×add-cube-cbrt
10×add-log-exp
6×unpow-prod-down add-cbrt-cube add-exp-log associate-/l* sqr-pow
4×pow1 associate-/r* flip3-- flip--
2×sub-neg diff-log div-sub associate-/r/ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp associate-+l- flip-+ div-inv distribute-lft-out
Counts
4 → 92
Calls
4 calls:
11.0ms
(- (* x x) y)
139.0ms
(+ (/ (- (pow x 4) (* y y)) (- (* x x) y)) y)
346.0ms
(- (pow x 4) (* y y))
48.0ms
(/ (- (pow x 4) (* y y)) (- (* x x) y))

series277.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* x x) y)
106.0ms
(+ (/ (- (pow x 4) (* y y)) (- (* x x) y)) y)
54.0ms
(- (pow x 4) (* y y))
83.0ms
(/ (- (pow x 4) (* y y)) (- (* x x) y))

simplify1.1s

Counts
104 → 104
Iterations
IterNodes
done5000
22302
1453
0164

prune494.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
0.5b
(cbrt (- (* x x) y))
0.5b
(cbrt (- (* x x) y))
0.5b
(cbrt (- (* x x) y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
76.0ms
(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
11.0ms
(cbrt (- (* x x) y))
10.0ms
(cbrt (- (* x x) y))
11.0ms
(cbrt (- (* x x) y))

series484.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
105.0ms
(cbrt (- (* x x) y))
121.0ms
(cbrt (- (* x x) y))
128.0ms
(cbrt (- (* x x) y))

simplify739.0ms

Counts
105 → 105
Iterations
IterNodes
done5000
2915
1253
0112

prune565.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample616.0ms

Algorithm
intervals
Results
370.0ms10744×body80valid