Details

Time bar (total: 5.4s)

sample16.0ms

Algorithm
intervals
Results
5.0ms235×body80valid
3.0ms7×body640valid
1.0ms7×body1280valid
0.0ms5×body320valid
0.0ms2×body160valid

simplify15.0ms

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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (* (/ 3.0 8.0) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(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:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
289.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
271.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
276.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
02441068
17671003
22875944
35002915

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 173
Calls
4 calls:
10.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
10.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (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:
268.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
253.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
249.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
250.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
03726003
19115836
228955732
350015712

prune516.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 swap-sqr associate-*r* associate-*l* flip-- unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
19.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
250.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
288.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
275.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
279.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
02751635
18341556
228991457
350011418

prune338.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes202.0ms

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

sample309.0ms

Algorithm
intervals
Results
140.0ms7380×body80valid
19.0ms228×body1280valid
10.0ms158×body640valid
9.0ms90×body2560valid
5.0ms96×body320valid
2.0ms48×body160valid