Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
4.0ms247×body80valid
0.0ms5×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body1280valid

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))

rewrite11.0ms

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))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ 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

prune48.0ms

Pruning

5 alts after pruning (4 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))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite103.0ms

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:
72.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (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)))
11.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
60.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03751533
112671446
250011341

prune310.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×*-un-lft-identity
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 67
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)))
12.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0343958
11018906
23815892
35002888

prune322.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
130×cbrt-div
30×flip3-+ flip-+
28×frac-times
21×cbrt-prod
14×*-un-lft-identity associate-*l/
8×add-sqr-sqrt add-cube-cbrt associate-*r/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out
1×pow3 rem-cbrt-cube
Counts
4 → 89
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms
(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
57.0ms
(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
04962424
111722344
239722328
350012324

prune482.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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

sample339.0ms

Algorithm
intervals
Results
148.0ms7729×body80valid
8.0ms89×body1280valid
5.0ms49×body2560valid
4.0ms66×body640valid
2.0ms35×body320valid
1.0ms32×body160valid