Details

Time bar (total: 5.6s)

sample13.0ms

Algorithm
intervals
Results
4.0ms240×body80valid
0.0ms6×body1280valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

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 (/ (fabs (- y x)) 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 103
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
87.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03751533
112741446
250011341

prune374.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
52×*-un-lft-identity
48×cbrt-div
38×add-sqr-sqrt
22×add-cube-cbrt
19×flip3-+ flip-+
18×pow1 swap-sqr
14×pow1/3 associate-*r* associate-*l*
13×distribute-lft-out
12×frac-times
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 → 148
Calls
4 calls:
67.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
67.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
46.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
47.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05062515
116772405
250022182

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (* (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
5956×cbrt-div
2196×frac-times
1471×flip3-+ flip-+
642×associate-*l/
570×associate-*r/
14×cbrt-prod
8×*-un-lft-identity
6×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
1×distribute-lft-out
Counts
4 → 796
Calls
4 calls:
8.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
21.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
21.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
176.0ms
(cbrt (* (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
46.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
49.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
48.0ms
(cbrt (* (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))))

simplify560.0ms

Algorithm
egg-herbie
Counts
808 → 808
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
0500175547

prune2.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

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
084
184

end0.0ms

sample321.0ms

Algorithm
intervals
Results
141.0ms7718×body80valid
7.0ms93×body1280valid
5.0ms77×body640valid
4.0ms47×body2560valid
2.0ms43×body320valid
1.0ms24×body160valid