Details

Time bar (total: 4.4s)

sample67.0ms

Algorithm
intervals
Results
17.0ms227×body80valid
14.0ms22×body1280valid
11.0ms27×body640valid
6.0ms109×body80nan
5.0ms18×body320valid
2.0msbody160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize9.0ms

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))))
9.0b
(log (/ y (+ z y)))

rewrite90.0ms

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:
63.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
13.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
42.0ms
(/ y (+ z y))
75.0ms
(* y (log (/ y (+ z y))))
45.0ms
(log (/ y (+ z y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03811006
11513928
25001904

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.8b
(log (/ (cbrt y) (cbrt (+ z y))))
3.8b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite20.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
182.0ms
(cbrt y)
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune540.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (exp (* -1 z)) y)

series20.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune71.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

33.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.2b

bsearch25.0ms

Steps
ItersRangePoint
4
3.17378385070261e-20
4.683598394279392e-20
4.636416689792617e-20

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample2.1s

Algorithm
intervals
Results
536.0ms6516×body80valid
474.0ms772×body1280valid
384.0ms954×body640valid
190.0ms3087×body80nan
155.0ms568×body320valid
54.0ms309×body160valid