Details

Time bar (total: 4.6s)

sample51.0ms

Algorithm
intervals
Results
12.0ms27×body1280valid
9.0ms195×body80valid
8.0ms28×body640valid
4.0ms23×body320valid
3.0ms104×body80nan
2.0ms17×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize9.0ms

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))))
8.3b
(log (/ y (+ z y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* associate-/r* div-inv
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
29.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
7.0ms
(log (/ y (+ z y)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
38.0ms
(/ y (+ z y))
74.0ms
(* y (log (/ y (+ z y))))
49.0ms
(log (/ y (+ z y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03811006
11513928
25001904

prune307.0ms

Filtered
141 candidates to 90 candidates (63.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
169.0ms
(cbrt y)
69.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
71.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune523.0ms

Filtered
152 candidates to 102 candidates (67.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (exp (* -1 z)) y))

rewrite6.0ms

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:
5.0ms
(+ x (/ (exp (* -1 z)) y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))

simplify111.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010495
126486
278086
3345586
4500286

prune36.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (log (/ y (+ z y))))
0.3b
(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
8.3b
(log (/ y (+ z y)))
8.3b
(log (/ y (+ z y)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
72×log-prod
60×add-sqr-sqrt
48×times-frac
46×add-cube-cbrt
26×sqrt-prod
24×pow1
18×distribute-rgt-in distribute-lft-in distribute-lft-out
14×add-exp-log
12×sqrt-div
11×swap-sqr associate-*r*
10×flip3-+ associate-*l* flip-+
8×sqrt-pow1 pow1/2 associate-/r/ add-cbrt-cube
5×pow-prod-up unswap-sqr
4×frac-times rem-log-exp pow-prod-down div-inv add-log-exp
3×pow-sqr log-pow
2×log-div associate-*r/ div-exp associate-*l/ prod-exp *-commutative cbrt-unprod
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 175
Calls
4 calls:
8.0ms
(* y (log (/ y (+ z y))))
66.0ms
(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* y (log (/ y (+ z y))))
94.0ms
(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
50.0ms
(log (/ y (+ z y)))
45.0ms
(log (/ y (+ z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04451816
117901627
250021564

prune480.0ms

Filtered
187 candidates to 104 candidates (55.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

3.4% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04534
14534

end0.0ms

sample1.4s

Algorithm
intervals
Results
357.0ms793×body1280valid
316.0ms6493×body80valid
244.0ms918×body640valid
102.0ms2990×body80nan
102.0ms582×body320valid
36.0ms336×body160valid