Details

Time bar (total: 8.7s)

sample17.0ms

Algorithm
intervals
Results
9.0ms248×body80valid
1.0ms4×body1280valid
0.0ms2×body640valid
0.0ms2×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))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune36.0ms

Pruning

4 alts after pruning (3 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
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×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×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
11.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))
48.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
46.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02731063
11071971
25001937

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
222×sqrt-div
168×cbrt-div
136×frac-times
111×flip3-+ flip-+
50×associate-*r/
44×associate-*l/
21×cbrt-prod
20×*-un-lft-identity
16×sqrt-prod
15×pow1
13×add-exp-log add-cube-cbrt
12×add-sqr-sqrt
9×pow1/3 add-cbrt-cube
7×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
5×pow-prod-up
4×distribute-lft-out add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 159
Calls
4 calls:
6.0ms
(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))))
244.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

series174.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
07606285
117936104
250015705

prune491.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.1s

Algorithm
rewrite-expression-head
Rules
3894×cbrt-div
2922×sqrt-div
2188×frac-times
1461×flip3-+ flip-+
698×associate-*r/
638×associate-*l/
24×pow1 add-exp-log
21×cbrt-prod
20×*-un-lft-identity
16×sqrt-prod
15×pow-prod-down prod-exp cbrt-unprod
13×add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt
7×associate-*l*
4×distribute-lft-out add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 810
Calls
4 calls:
7.0ms
(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))))
2.8s
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
50.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
28.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify541.0ms

Algorithm
egg-herbie
Counts
822 → 822
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0497569237
1500169118

prune2.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample457.0ms

Algorithm
intervals
Results
284.0ms7670×body80valid
18.0ms109×body1280valid
11.0ms87×body640valid
10.0ms51×body2560valid
5.0ms55×body320valid
2.0ms29×body160valid