Details

Time bar (total: 4.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune4.0ms

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: 6.2b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune194.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New431053
Fresh000
Picked011
Done000
Total431154

Merged error: 3.8b

Counts
54 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
5.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite32.0ms

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:
9.0ms
(/ 1 (- 1.0 (/ y z)))
20.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series93.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
48.0ms
(* (+ 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

prune254.0ms

Filtered
103 candidates to 55 candidates (53.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh189
Picked011
Done011
Total10311114

Merged error: 3.8b

Counts
114 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 frac-times associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
19.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
208.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
283.0ms
(cbrt (- 1.0 (/ y z)))
281.0ms
(cbrt (- 1.0 (/ y z)))
283.0ms
(cbrt (- 1.0 (/ y z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0334816
1838752
22589736
35003712

prune373.0ms

Filtered
93 candidates to 74 candidates (79.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done022
Total9311104

Merged error: 3.8b

Counts
104 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ y z))
0.2b
(* (/ y z) (/ y z))
5.1b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.3b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
73×times-frac
69×add-sqr-sqrt
52×add-cube-cbrt
35×associate-*l*
23×add-exp-log add-cbrt-cube
17×associate-*r*
13×pow1 swap-sqr
11×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×frac-times associate-*r/
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×+-commutative pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num sum-log pow-sqr pow-prod-up
Counts
4 → 167
Calls
4 calls:
9.0ms
(+ 1.0 (/ y z))
11.0ms
(* (/ y z) (/ y z))
7.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
16.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ 1.0 (/ y z))
27.0ms
(* (/ y z) (/ y z))
59.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
87.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify117.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08311532
145111385
250021381

prune511.0ms

Filtered
179 candidates to 122 candidates (68.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1781179
Fresh167
Picked011
Done123
Total18010190

Merged error: 3.8b

Counts
190 → 10

regimes371.0ms

Accuracy

75.3% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample486.0ms

Algorithm
intervals
Results
218.0ms7999×body80valid
0.0ms1×body320valid

Profiling

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