Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms252×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0104
1114
2114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite13.0ms

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:
12.0ms
(+ x (/ (fabs (- y x)) 2.0))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune51.0ms

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)))
12.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))
45.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(* (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 (36.0ms)

IterNodesCost
02871107
111251001
25002967

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
91×sqrt-pow1
69×pow1
60×add-sqr-sqrt
47×pow1/2
42×*-un-lft-identity
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
9×distribute-lft-out
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 213
Calls
4 calls:
11.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
11.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
86.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
56.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
61.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06592854
125042480
250012438

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
088117
1275101
2132695
3500192

prune35.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample298.0ms

Algorithm
intervals
Results
153.0ms7704×body80valid
9.0ms104×body1280valid
6.0ms79×body640valid
4.0ms39×body2560valid
3.0ms48×body320valid
1.0ms27×body160valid