Details

Time bar (total: 3.7s)

sample51.0ms

Algorithm
intervals
Results
11.0ms40×body640valid
10.0ms21×body1280valid
10.0ms203×body80valid
4.0ms23×body320valid
4.0ms110×body80nan
1.0msbody160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
8.9b
(log (/ y (+ z y)))

rewrite61.0ms

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
pow1 associate-/r/ add-cbrt-cube
add-log-exp
flip3-+ flip-+
associate-*r* associate-/r* div-inv
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 → 129
Calls
4 calls:
6.0ms
(/ y (+ z y))
36.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
9.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ z y))
69.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
72.0ms
(* y (log (/ y (+ z y))))
50.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03811006
11513928
25001904

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(log (/ (cbrt y) (cbrt (+ z y))))
3.5b
(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
cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
170.0ms
(cbrt y)
70.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune573.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
associate-/r* add-cbrt-cube associate-/l*
add-exp-log
pow1 cbrt-undiv exp-neg frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
5.0ms
(/ (exp (* -1 z)) y)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (exp (* -1 z)) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune67.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12918
22918

end0.0ms

sample1.4s

Algorithm
intervals
Results
352.0ms766×body1280valid
312.0ms6472×body80valid
262.0ms979×body640valid
100.0ms2967×body80nan
100.0ms555×body320valid
36.0ms328×body160valid