Details

Time bar (total: 2.7s)

analyze232.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune88.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 6.1b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (- 1.0 (/ y z)))
6.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
18.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0343662
11615586
25001536

prune109.0ms

Filtered
56 candidates to 103 candidates (-83.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1003103
Fresh437
Picked011
Done011
Total1048112

Merged error: 6.1b

Counts
112 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (+ x y) (* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ 1 (cbrt (- 1.0 (/ y z))))))
7.7b
(cbrt (- 1.0 (/ y z)))
7.7b
(cbrt (- 1.0 (/ y z)))
7.7b
(cbrt (- 1.0 (/ y z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
69×prod-exp
30×div-exp
26×add-cbrt-cube
23×add-sqr-sqrt
18×cbrt-prod
16×*-un-lft-identity
15×rec-exp 1-exp cbrt-unprod
11×frac-times
9×pow1
8×add-cube-cbrt
7×cbrt-undiv associate-*r/
6×cbrt-div difference-of-squares
5×flip3-+ associate-*l/ flip-+
4×associate-*l* add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down un-div-inv flip-- distribute-lft-out--
1×associate-*r* *-commutative distribute-lft-out
Counts
4 → 113
Calls
4 calls:
41.0ms
(* (+ x y) (* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ 1 (cbrt (- 1.0 (/ y z))))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (+ x y) (* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ 1 (cbrt (- 1.0 (/ y z))))))
36.0ms
(cbrt (- 1.0 (/ y z)))
40.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06501540
122221059
25002982

prune185.0ms

Filtered
73 candidates to 125 candidates (-71.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh055
Picked011
Done022
Total1258133

Merged error: 6.1b

Counts
133 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (- 1.0 (/ y z))))
0.1b
(* (/ 1 (sqrt (- 1.0 (/ y z)))) (/ (+ x y) (sqrt (- 1.0 (/ y z)))))
4.3b
(sqrt (- 1.0 (/ y z)))
4.3b
(sqrt (- 1.0 (/ y z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
125×times-frac
108×*-un-lft-identity
89×sqrt-prod
58×add-cube-cbrt
42×associate-*r*
33×associate-*l*
30×add-exp-log
26×difference-of-squares
18×add-cbrt-cube
15×unswap-sqr
13×distribute-lft-out--
10×pow1 sqrt-div div-exp
9×associate-/r* distribute-lft-out
8×prod-exp
6×associate-/r/
5×cbrt-undiv flip3-- flip--
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 209
Calls
4 calls:
11.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
42.0ms
(* (/ 1 (sqrt (- 1.0 (/ y z)))) (/ (+ x y) (sqrt (- 1.0 (/ y z)))))
6.0ms
(sqrt (- 1.0 (/ y z)))
6.0ms
(sqrt (- 1.0 (/ y z)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
20.0ms
(* (/ 1 (sqrt (- 1.0 (/ y z)))) (/ (+ x y) (sqrt (- 1.0 (/ y z)))))
13.0ms
(sqrt (- 1.0 (/ y z)))
13.0ms
(sqrt (- 1.0 (/ y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06652268
141052012
250031857

prune262.0ms

Filtered
122 candidates to 221 candidates (-81.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2210221
Fresh044
Picked011
Done033
Total2218229

Merged error: 6.1b

Counts
229 → 8

regimes257.0ms

Accuracy

0% (2.0b remaining)

Error of 7.5b against oracle of 5.5b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

analyze226.0ms

Algorithm
search

sample409.0ms

Algorithm
intervals
Results
249.0ms7996×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid
0.0ms1×body640valid

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