Details

Time bar (total: 19.5s)

sample56.0ms

Algorithm
intervals
Results
29.0ms680×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2297
3697
42007
56117
629167
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×difference-of-squares
8×unpow-prod-down
6×sqr-pow
5×*-un-lft-identity
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip--
Counts
1 → 23
Calls
1 calls:
36.0ms
(- (pow x 4.0) (pow y 4.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(- (pow x 4.0) (pow y 4.0))

simplify4.7s

Counts
26 → 26
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
061356
1127345
2305331
3995331
44931331
done5001331

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

8.5b
(sqrt (pow x 4.0))
8.5b
(sqrt (pow x 4.0))
14.2b
(sqrt (pow y 4.0))
14.2b
(sqrt (pow y 4.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-prod
20×add-sqr-sqrt
16×unpow-prod-down
12×add-cube-cbrt rem-sqrt-square *-un-lft-identity
8×sqr-pow
4×pow1 add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
4 → 76
Calls
4 calls:
3.0ms
(sqrt (pow x 4.0))
3.0ms
(sqrt (pow x 4.0))
3.0ms
(sqrt (pow y 4.0))
4.0ms
(sqrt (pow y 4.0))

series2.2s

Counts
4 → 12
Calls
4 calls:
526.0ms
(sqrt (pow x 4.0))
528.0ms
(sqrt (pow x 4.0))
560.0ms
(sqrt (pow y 4.0))
623.0ms
(sqrt (pow y 4.0))

simplify3.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
075664
1136604
2253596
3561596
41489596
54359596
done5000596

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
106×cbrt-prod
63×difference-of-squares
56×unpow-prod-down
49×*-un-lft-identity
42×sqr-pow
19×swap-sqr
18×cbrt-div
17×associate-*r* associate-*l*
16×distribute-lft-out--
15×add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
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 → 155
Calls
4 calls:
225.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
13.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
25.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
27.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
123.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
128.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
146.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify2.1s

Counts
167 → 167
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01793439
13093220
28073106
317302912
done50012901

prune767.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes156.0ms

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

sample2.2s

Algorithm
intervals
Results
1.3s20632×body80valid