Details

Time bar (total: 2.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms249×body80valid
0.0ms4×body1280valid
0.0ms3×body640valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune40.0ms

Filtered
20 candidates to 16 candidates (80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New17320
Fresh000
Picked011
Done000
Total17421

Merged error: 0.0b

Counts
21 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series696.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt x) (cbrt x))
170.0ms
(cbrt x)
178.0ms
(cbrt x)
166.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune201.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh022
Picked101
Done011
Total92597

Merged error: 0.0b

Counts
97 → 5

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

rewrite37.0ms

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))
6.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))
47.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02871107
111251001
25002967

prune263.0ms

Filtered
133 candidates to 80 candidates (60.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh033
Picked011
Done011
Total1326138

Merged error: 0b

Counts
138 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
17.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
7.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
7.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
53.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
51.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
59.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04072244
113772127
250021992

prune336.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh033
Picked011
Done022
Total1406146

Merged error: 0b

Counts
146 → 6

regimes76.0ms

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

sample346.0ms

Algorithm
intervals
Results
188.0ms7700×body80valid
14.0ms127×body1280valid
7.0ms79×body640valid
5.0ms41×body2560valid
2.0ms35×body320valid
1.0ms19×body160valid

Profiling

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