Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
6.0ms246×body80valid
1.0ms7×body1280valid
0.0ms2×body320valid
0.0ms1×body2560valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune53.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
15.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
34.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
37.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
25.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
03861546
113041467
250011344

prune286.0ms

Filtered
107 candidates to 72 candidates (32.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh022
Picked011
Done011
Total1065111

Merged error: 0.0b

Counts
111 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
25.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
25.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
04651240
113521180
250011150

prune306.0ms

Filtered
74 candidates to 61 candidates (17.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New72274
Fresh022
Picked011
Done022
Total72779

Merged error: 0b

Counts
79 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-div
19×flip3-+ flip-+
14×cbrt-prod
12×frac-times
8×*-un-lft-identity
6×add-sqr-sqrt add-cube-cbrt associate-*r/ associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
12.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
27.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
18.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
16.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
26.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
39.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
03611800
110061712
238451683
350011683

prune602.0ms

Filtered
80 candidates to 65 candidates (18.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done033
Total80787

Merged error: 0b

Counts
87 → 7

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample401.0ms

Algorithm
intervals
Results
180.0ms7706×body80valid
12.0ms114×body1280valid
8.0ms41×body2560valid
7.0ms75×body640valid
3.0ms49×body320valid
1.0ms17×body160valid

Profiling

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