Details

Time bar (total: 7.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms305×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0256
1506
2806
31226
41715
52305
62675
73705
85225
98205
108205

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- fma-neg diff-log associate-*l/ frac-sub add-cbrt-cube flip-- log1p-expm1-u div-inv
Counts
1 → 23
Calls
1 calls:
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0237267
1963207
25002207

prune64.0ms

Filtered
26 candidates to 19 candidates (73.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
41.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
7.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series961.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
229.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
232.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
232.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03421717
111181623
250011533

prune360.0ms

Filtered
117 candidates to 90 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
21×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 associate-*l/ frac-sub add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 73
Calls
4 calls:
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
5.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
5.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
318.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
310.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
297.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02741067
17351009
225241000
35002988

prune409.0ms

Filtered
85 candidates to 81 candidates (95.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
13.8b
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
25.8b
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
25.8b
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
508×associate-*l/
310×cbrt-div
292×frac-times
243×frac-sub
176×associate-*r/
143×associate-/l/
27×flip3-- flip--
16×add-exp-log
15×associate-/r/
8×cbrt-prod flip3-+ frac-add add-cbrt-cube flip-+
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac fma-neg diff-log prod-diff clear-num associate-/r* div-inv associate-/l*
Counts
4 → 257
Calls
4 calls:
23.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
93.0ms
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
23.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
22.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

series912.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
258.0ms
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
170.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
374.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

simplify135.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09146934
127706401
250026355

prune1.7s

Filtered
269 candidates to 239 candidates (88.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes198.0ms

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
0166
1166

end0.0ms

sample534.0ms

Algorithm
intervals
Results
301.0ms9215×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid