Details

Time bar (total: 4.1s)

sample49.0ms

Algorithm
intervals
Results
10.0ms202×body80valid
9.0ms20×body1280valid
9.0ms35×body640valid
4.0ms112×body80nan
2.0ms13×body320valid
2.0ms18×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

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: 5.0b

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))))
9.1b
(log (/ y (+ z y)))

rewrite59.0ms

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:
36.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
42.0ms
(/ y (+ z y))
74.0ms
(* y (log (/ y (+ z y))))
52.0ms
(log (/ y (+ z y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03951046
11559967
25001936

prune349.0ms

Filtered
152 candidates to 101 candidates (66.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh101
Picked101
Done000
Total1522154

Merged error: 0.0b

Counts
154 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×log-prod
88×*-un-lft-identity
84×times-frac
60×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×expm1-log1p-u flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 154
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series401.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (+ z y))
126.0ms
(cbrt (+ z y))
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify142.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
03611602
19911550
241621518
350011508

prune704.0ms

Filtered
166 candidates to 136 candidates (81.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh011
Picked011
Done000
Total1662168

Merged error: 0.0b

Counts
168 → 2

localize9.0ms

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)

simplify63.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune120.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done011
Total52355

Merged error: 0b

Counts
55 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×fma-def associate-*l* unswap-sqr
2×exp-neg expm1-log1p-u mul-1-neg div-exp cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative frac-times rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 56
Calls
2 calls:
3.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
8.0ms
(* (exp (* -1 z)) (/ 1 y))

series41.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
19.0ms
(* (exp (* -1 z)) (/ 1 y))

simplify38.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0279350
11066307
25002283

prune135.0ms

Filtered
62 candidates to 47 candidates (75.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done011
Total62365

Merged error: 0b

Counts
65 → 3

regimes52.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.4s

Algorithm
intervals
Results
343.0ms766×body1280valid
313.0ms6517×body80valid
249.0ms941×body640valid
107.0ms3146×body80nan
96.0ms559×body320valid
37.0ms324×body160valid