Details

Time bar (total: 3.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms243×body80valid
1.0ms5×body1280valid
0.0ms2×body2560valid
0.0ms3×body640valid
0.0ms2×body320valid
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))

rewrite7.0ms

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:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series20.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
12.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))
44.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02871107
111251001
25002967

prune248.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (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)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
14×sqrt-div
13×cbrt-prod sqrt-prod
12×add-cube-cbrt cbrt-div
11×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*r/ associate-*l*
9×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
29.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
54.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
72.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06612066
124041913
250011881

prune375.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
94×sqrt-div
42×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
19×*-un-lft-identity
18×cbrt-prod
13×pow1 add-exp-log add-cbrt-cube
12×sqrt-prod
11×add-sqr-sqrt add-cube-cbrt
8×associate-*l/
7×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 107
Calls
4 calls:
159.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
49.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
53.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07643049
126092727
250022702

prune480.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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

sample477.0ms

Algorithm
intervals
Results
298.0ms7718×body80valid
17.0ms102×body1280valid
9.0ms46×body2560valid
9.0ms71×body640valid
5.0ms49×body320valid
1.0ms16×body160valid