Details

Time bar (total: 4.3s)

sample61.0ms

Algorithm
intervals
Results
15.0ms212×body80valid
13.0ms24×body1280valid
10.0ms31×body640valid
4.0ms93×body80nan
4.0ms18×body320valid
1.0msbody160valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (30.0ms)

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: 3.6b

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))))
8.0b
(log (/ y (+ z y)))

rewrite62.0ms

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
pow1 associate-/r/ add-cbrt-cube
add-log-exp
flip3-+ flip-+
expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
fma-def associate-*l* associate-/l*
div-exp rem-log-exp log-pow
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:
37.0ms
(+ 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)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
44.0ms
(/ y (+ z y))
80.0ms
(* y (log (/ y (+ z y))))
49.0ms
(log (/ y (+ z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03951046
11559967
25001936

prune326.0ms

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:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(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
pow1
expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
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))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
182.0ms
(cbrt y)
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03171502
17721456
223701424
350021350

prune510.0ms

Filtered
160 candidates to 110 candidates (68.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done000
Total1602162

Merged error: 0.0b

Counts
162 → 2

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
times-frac
add-cbrt-cube add-log-exp
add-exp-log fma-def associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u
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)

series46.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ 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

prune106.0ms

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: 0.0b

Counts
55 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
pow1 prod-exp add-log-exp
fma-def associate-*l* unswap-sqr
exp-neg expm1-log1p-u mul-1-neg div-exp cbrt-unprod log1p-expm1-u
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)))
13.0ms
(* (exp (* -1 z)) (/ 1 y))

series42.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
20.0ms
(* (exp (* -1 z)) (/ 1 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0279350
11066307
25002283

prune121.0ms

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: 0.0b

Counts
65 → 3

regimes59.0ms

Accuracy

43.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.0b

bsearch57.0ms

Steps
ItersRangePoint
9
5.612942259261838e-23
3.213408159798715e-15
3.168741227912756e-15

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621

end0.0ms

sample1.7s

Algorithm
intervals
Results
409.0ms812×body1280valid
392.0ms6482×body80valid
294.0ms936×body640valid
140.0ms2978×body80nan
113.0ms545×body320valid
43.0ms326×body160valid

Profiling

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