Details

Time bar (total: 4.5s)

sample36.0ms

Algorithm
intervals
Results
19.0ms603×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1303
2733
32173
48193
542433
650013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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
difference-of-squares
fma-neg
add-log-exp
distribute-lft-out--
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:
22.0ms
(- (pow x 4.0) (pow y 4.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (pow x 4.0) (pow y 4.0))

simplify152.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
03151099
1873775
24757725
35001720

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))))
17.2b
(cbrt (- (pow x 4.0) (pow y 4.0)))
17.2b
(cbrt (- (pow x 4.0) (pow y 4.0)))
17.2b
(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite152.0ms

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
flip3-- pow1/3 flip--
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 163
Calls
4 calls:
106.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
12.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
12.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
14.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
80.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
79.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
83.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
03181880
110281812
240581708
350021702

prune529.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

11.2b
(sqrt (pow y 4.0))
11.2b
(sqrt (pow y 4.0))
11.2b
(sqrt (pow y 4.0))
17.2b
(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
21×sqrt-prod
20×unpow-prod-down
15×*-un-lft-identity
14×cbrt-prod
12×sqr-pow
11×add-cube-cbrt
rem-sqrt-square difference-of-squares
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
sqrt-pow1 pow1/2
cbrt-div distribute-lft-out--
flip3-- pow1/3 flip--
Counts
4 → 89
Calls
4 calls:
3.0ms
(sqrt (pow y 4.0))
3.0ms
(sqrt (pow y 4.0))
3.0ms
(sqrt (pow y 4.0))
12.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
347.0ms
(sqrt (pow y 4.0))
351.0ms
(sqrt (pow y 4.0))
338.0ms
(sqrt (pow y 4.0))
81.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0237515
1540496
21747492
35001489

prune484.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample1.0s

Algorithm
intervals
Results
565.0ms20441×body80valid