Details

Time bar (total: 3.5s)

sample55.0ms

Algorithm
intervals
Results
14.0ms31×body1280valid
10.0ms41×body640valid
8.0ms183×body80valid
3.0ms21×body320valid
3.0ms84×body80nan
1.0ms13×body160valid

simplify110.0ms

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: 6.8b

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))))
8.9b
(log (/ y (+ z y)))

rewrite64.0ms

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
pow1 add-cbrt-cube
flip3-+ flip-+ div-inv add-log-exp
associate-*r* associate-/r*
associate-*l* associate-/l*
div-exp rem-log-exp log-pow
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 → 163
Calls
4 calls:
11.0ms
(/ y (+ z y))
17.0ms
(exp (* y (log (/ y (+ z y)))))
22.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ z y))
206.0ms
(exp (* y (log (/ y (+ z y)))))
72.0ms
(* y (log (/ y (+ z y))))
48.0ms
(log (/ y (+ z y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05241242
120381155
250031146

prune345.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))
0.3b
(pow (exp y) (log (/ y (+ z y))))
8.9b
(log (/ y (+ z y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
36×log-prod times-frac
32×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-up
11×distribute-lft-out
add-exp-log
pow1
associate-/r/ add-cbrt-cube add-log-exp
pow-unpow pow-pow flip3-+ associate-/r* flip-+
unpow-prod-down exp-prod div-inv associate-/l*
log-div div-exp rem-log-exp log-pow
cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num sum-log pow-sub sqr-pow
Counts
4 → 114
Calls
4 calls:
50.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
11.0ms
(/ y (+ z y))
10.0ms
(pow (exp y) (log (/ y (+ z y))))
8.0ms
(log (/ y (+ z y)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
36.0ms
(/ y (+ z y))
133.0ms
(pow (exp y) (log (/ y (+ z y))))
44.0ms
(log (/ y (+ z y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0508904
11744861
25002842

prune338.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(/ (exp (* -1 z)) y)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (exp (* -1 z)) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

40.9% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch43.0ms

Steps
ItersRangePoint
10
1.6037472448008606e-27
1.1952581674532207e-17
1.1841663707457728e-17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample1.5s

Algorithm
intervals
Results
352.0ms797×body1280valid
301.0ms6562×body80valid
241.0ms951×body640valid
97.0ms3011×body80nan
96.0ms563×body320valid
32.0ms304×body160valid