Details

Time bar (total: 5.3s)

sample14.0ms

Algorithm
intervals
Results
4.0ms231×body80valid
1.0ms10×body1280valid
1.0ms8×body640valid
0.0ms3×body2560valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- x (* (/ 3.0 8.0) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
9.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
275.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
281.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
241.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
02441068
17741003
22881944
35001915

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
42×cbrt-prod
38×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×flip3-- flip--
18×pow1
14×pow1/3
12×frac-times swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
6×associate-*r/ associate-*l/
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
9.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
248.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
278.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
248.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03211864
19181778
231201645
350011620

prune445.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
0.6b
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
0.6b
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-div
24×flip3-- flip--
16×cbrt-prod frac-times
8×associate-*r/ associate-*l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 85
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
4.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
4.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
4.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
272.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
259.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
248.0ms
(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 4 (99.0ms)

IterNodesCost
02241846
15201756
215691744
347771736
450011732

prune409.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample308.0ms

Algorithm
intervals
Results
143.0ms7364×body80valid
17.0ms210×body1280valid
13.0ms196×body640valid
9.0ms93×body2560valid
4.0ms88×body320valid
2.0ms49×body160valid