Details

Time bar (total: 4.5s)

sample45.0ms

Algorithm
intervals
Results
10.0ms223×body80valid
8.0ms32×body640valid
8.0ms18×body1280valid
3.0ms87×body80nan
3.0ms15×body320valid
1.0ms10×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (29.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune10.0ms

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: 3.3b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(exp (* y (log (/ y (+ z y)))))
0.1b
(* y (log (/ y (+ z y))))
9.9b
(log (/ y (+ z y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
90×log-prod
72×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
19×distribute-lft-out
12×associate-/r/
11×add-exp-log
8×pow1 add-cbrt-cube
6×flip3-+ flip-+ div-inv add-log-exp
4×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv log-div exp-prod exp-to-pow frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 171
Calls
4 calls:
5.0ms
(/ y (+ z y))
7.0ms
(exp (* y (log (/ y (+ z y)))))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ z y))
216.0ms
(exp (* y (log (/ y (+ z y)))))
75.0ms
(* y (log (/ y (+ z y))))
51.0ms
(log (/ y (+ z y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05381275
120981187
250011177

prune378.0ms

Filtered
183 candidates to 108 candidates (59.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1803183
Fresh101
Picked101
Done000
Total1823185

Merged error: 0.0b

Counts
185 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b
(/ y (+ z y))
0.1b
(pow (exp y) (log (/ y (+ z y))))
9.9b
(log (/ y (+ z y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
36×log-prod times-frac
33×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-up
11×distribute-lft-out
9×add-exp-log
7×pow1
6×associate-/r/ add-cbrt-cube add-log-exp
4×expm1-log1p-u pow-unpow pow-pow flip3-+ associate-/r* flip-+ log1p-expm1-u
3×unpow-prod-down exp-prod fma-def div-inv associate-/l*
2×log-div div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num sum-log pow-sub sqr-pow
Counts
4 → 125
Calls
4 calls:
23.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms
(/ y (+ z y))
8.0ms
(pow (exp y) (log (/ y (+ z y))))
7.0ms
(log (/ y (+ z y)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
42.0ms
(/ y (+ z y))
133.0ms
(pow (exp y) (log (/ y (+ z y))))
50.0ms
(log (/ y (+ z y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0525945
11814900
25001883

prune381.0ms

Filtered
137 candidates to 101 candidates (73.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1352137
Fresh112
Picked101
Done000
Total1373140

Merged error: 0.0b

Counts
140 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.9b
(log (/ y (+ z y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×rem-log-exp associate-/r/
1×log-div flip3-+ div-exp log-pow flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(log (/ y (+ z y)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
179.0ms
(cbrt y)
175.0ms
(cbrt y)
46.0ms
(log (/ y (+ z y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0194335
1435313
21273298
35002293

prune293.0ms

Filtered
82 candidates to 67 candidates (81.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done000
Total82385

Merged error: 0.0b

Counts
85 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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)

series40.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune125.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh101
Picked101
Done011
Total53356

Merged error: 0.0b

Counts
56 → 3

regimes52.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01612
11612

end0.0ms

sample1.4s

Algorithm
intervals
Results
347.0ms779×body1280valid
296.0ms6500×body80valid
252.0ms956×body640valid
100.0ms586×body320valid
97.0ms3041×body80nan
33.0ms311×body160valid