Details

Time bar (total: 5.7s)

sample46.0ms

Algorithm
intervals
Results
10.0ms214×body80valid
9.0ms21×body1280valid
7.0ms28×body640valid
3.0ms97×body80nan
2.0ms14×body320valid
1.0ms5×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641367
750017

prune6.0ms

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: 7.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
7.4b
(log (/ y (+ z y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
54×log-prod
48×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
15×distribute-lft-out
11×add-exp-log
10×log-div
8×pow1 associate-/r* associate-/r/ add-cbrt-cube associate-/l*
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* log-rec clear-num div-inv
3×associate-*l*
2×frac-2neg div-exp rem-log-exp log-pow distribute-rgt-neg-out
1×cbrt-undiv +-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 142
Calls
4 calls:
35.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
46.0ms
(/ y (+ z y))
83.0ms
(* y (log (/ y (+ z y))))
50.0ms
(log (/ y (+ z y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03911070
11572983
25001961

prune270.0ms

Filtered
154 candidates to 98 candidates (36.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1504154
Fresh000
Picked101
Done000
Total1514155

Merged error: 0.0b

Counts
155 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
112×cbrt-prod
102×*-un-lft-identity
96×log-prod
84×times-frac
68×add-sqr-sqrt add-cube-cbrt
32×log-div
16×distribute-lft-out
14×associate-/r* associate-/l*
10×add-exp-log
8×cbrt-div
6×pow1
4×flip3-+ rem-log-exp log-rec clear-num associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×frac-2neg pow1/3 div-exp log-pow div-inv
Counts
4 → 180
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
13.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (+ z y))
134.0ms
(cbrt (+ z y))
78.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
80.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify175.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03811852
110781790
249191760
350011760

prune928.0ms

Filtered
192 candidates to 154 candidates (19.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1920192
Fresh033
Picked011
Done000
Total1924196

Merged error: 0.0b

Counts
196 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (pow (/ y (+ z y)) y) y) x)
0.0b
(/ y (+ z y))
5.6b
(pow (/ y (+ z y)) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
8×add-exp-log distribute-lft-out
5×add-cbrt-cube add-log-exp
4×pow1 associate-/r* associate-/r/
3×pow-unpow flip3-+ flip-+ associate-/l*
2×div-exp pow-exp div-inv
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg clear-num sum-log sqr-pow
Counts
3 → 78
Calls
3 calls:
30.0ms
(+ (/ (pow (/ y (+ z y)) y) y) x)
7.0ms
(/ y (+ z y))
6.0ms
(pow (/ y (+ z y)) y)

series432.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(+ (/ (pow (/ y (+ z y)) y) y) x)
43.0ms
(/ y (+ z y))
239.0ms
(pow (/ y (+ z y)) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0414539
11646511
25001506

prune156.0ms

Filtered
87 candidates to 62 candidates (28.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh022
Picked101
Done011
Total87491

Merged error: 0b

Counts
91 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
7.4b
(log (/ y (+ z y)))
7.4b
(log (/ y (+ z y)))
7.4b
(log (/ y (+ z y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
54×log-prod
36×times-frac
35×add-sqr-sqrt add-cube-cbrt
30×log-div
13×add-exp-log distribute-lft-out
12×associate-/r* associate-/l*
7×pow1
6×rem-log-exp log-rec clear-num associate-/r/
4×cbrt-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
3×frac-2neg div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 134
Calls
4 calls:
38.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
7.0ms
(log (/ y (+ z y)))
6.0ms
(log (/ y (+ z y)))
6.0ms
(log (/ y (+ z y)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
51.0ms
(log (/ y (+ z y)))
52.0ms
(log (/ y (+ z y)))
49.0ms
(log (/ y (+ z y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
03411017
1917946
23774923
35001921

prune431.0ms

Filtered
146 candidates to 105 candidates (28.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh022
Picked011
Done011
Total1464150

Merged error: 0b

Counts
150 → 4

regimes168.0ms

Accuracy

42.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05034
15234
25234

end0.0ms

sample1.4s

Algorithm
intervals
Results
341.0ms782×body1280valid
305.0ms6468×body80valid
256.0ms977×body640valid
98.0ms571×body320valid
95.0ms2854×body80nan
35.0ms305×body160valid