Details

Time bar (total: 24.7s)

sample68.0ms

Algorithm
intervals
Results
37.0ms650×body80valid

simplify9.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1187
2717
34097
done50007

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
49×prod-diff
43×add-sqr-sqrt
35×*-un-lft-identity
31×add-cube-cbrt
21×sqr-pow
9×difference-of-squares
7×fma-neg
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 81
Calls
1 calls:
28.0ms
(- (pow x 4.0) (pow y 4.0))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(- (pow x 4.0) (pow y 4.0))

simplify3.3s

Counts
84 → 84
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01522374
18991574
done50001467

prune245.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt y) 4.0)
26.3b
(cbrt (pow x 4.0))
26.3b
(cbrt (pow x 4.0))
26.3b
(cbrt (pow x 4.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
15×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp
Counts
4 → 74
Calls
4 calls:
3.0ms
(pow (cbrt y) 4.0)
2.0ms
(cbrt (pow x 4.0))
2.0ms
(cbrt (pow x 4.0))
2.0ms
(cbrt (pow x 4.0))

series2.1s

Counts
4 → 12
Calls
4 calls:
454.0ms
(pow (cbrt y) 4.0)
661.0ms
(cbrt (pow x 4.0))
548.0ms
(cbrt (pow x 4.0))
472.0ms
(cbrt (pow x 4.0))

simplify1.7s

Counts
86 → 86
Iterations

Useful iterations: done (1.7s)

IterNodesCost
094708
1296681
done5001642

prune561.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))
0.1b
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
101×unpow-prod-down
94×sqrt-prod
78×*-un-lft-identity
63×difference-of-squares
57×sqr-pow
49×prod-diff
44×add-cube-cbrt
21×pow1 swap-sqr
17×associate-*r* associate-*l*
16×sqrt-div distribute-lft-out--
10×sqrt-pow1 pow1/2
9×flip3-- flip--
7×fma-neg
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 231
Calls
4 calls:
33.0ms
(- (pow x 4.0) (pow y 4.0))
189.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
60.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
38.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (pow x 4.0) (pow y 4.0))
101.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
120.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
111.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify3.5s

Counts
243 → 243
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02775604
done50003892

prune917.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

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
done67

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s20563×body80valid