Details

Time bar (total: 4.2s)

sample52.0ms

Algorithm
intervals
Results
12.0ms202×body80valid
11.0ms25×body1280valid
10.0ms36×body640valid
3.0ms93×body80nan
3.0ms15×body320valid
0.0ms4×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (27.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 2

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))))
8.5b
(log (/ y (+ z y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×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×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def 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 → 140
Calls
4 calls:
38.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
41.0ms
(/ y (+ z y))
88.0ms
(* y (log (/ y (+ z y))))
46.0ms
(log (/ y (+ z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03951046
11559967
25001936

prune321.0ms

Filtered
152 candidates to 101 candidates (66.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1493152
Fresh101
Picked101
Done000
Total1513154

Merged error: 0.0b

Counts
154 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(log (/ (cbrt y) (cbrt (+ z y))))
2.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

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×expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt y)
168.0ms
(cbrt y)
70.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
03171502
17721456
223701424
350021350

prune555.0ms

Filtered
160 candidates to 110 candidates (68.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done000
Total1603163

Merged error: 0.0b

Counts
163 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 47
Calls
2 calls:
6.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series45.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune109.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New53053
Fresh011
Picked011
Done011
Total53356

Merged error: 0.0b

Counts
56 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1 y) (log y))
0.1b
(- (+ x (+ (/ 1 y) (log y))) (log z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
67×distribute-lft-out
32×pow1 prod-diff
30×log-pow
26×add-sqr-sqrt
24×add-cube-cbrt
17×div-inv
13×fma-def
12×distribute-lft-out--
9×times-frac
8×fma-neg add-log-exp
6×log-prod
4×sum-log
3×associate-+r+ diff-log associate--r+
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
2 → 106
Calls
2 calls:
13.0ms
(+ (/ 1 y) (log y))
18.0ms
(- (+ x (+ (/ 1 y) (log y))) (log z))

series221.0ms

Counts
2 → 6
Calls
2 calls:
184.0ms
(+ (/ 1 y) (log y))
37.0ms
(- (+ x (+ (/ 1 y) (log y))) (log z))

simplify39.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02991049
1982756
25001581

prune153.0ms

Filtered
112 candidates to 50 candidates (44.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0.0b

Counts
115 → 3

regimes55.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.4s

Algorithm
intervals
Results
334.0ms745×body1280valid
319.0ms6633×body80valid
248.0ms924×body640valid
104.0ms598×body320valid
103.0ms3003×body80nan
34.0ms295×body160valid