Details

Time bar (total: 3.7s)

sample52.0ms

Algorithm
intervals
Results
10.0ms40×body640valid
10.0ms21×body1280valid
9.0ms203×body80valid
4.0ms23×body320valid
4.0ms110×body80nan
1.0msbody160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (29.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize11.0ms

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)))

rewrite58.0ms

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:
5.0ms
(/ y (+ z y))
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (+ z y))
72.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms
(* y (log (/ y (+ z y))))
49.0ms
(log (/ y (+ z y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03951046
11559967
25001936

prune351.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))))

rewrite24.0ms

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)
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
175.0ms
(cbrt y)
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify81.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
03171502
17721456
223701424
350021350

prune596.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

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 expm1-log1p-u frac-2neg mul-1-neg div-exp clear-num log1p-expm1-u div-inv associate-/l/ add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ (exp (* -1 z)) y)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (exp (* -1 z)) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0117194
1313180
21514177
35001177

prune73.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
346.0ms766×body1280valid
308.0ms6472×body80valid
261.0ms979×body640valid
101.0ms2967×body80nan
95.0ms555×body320valid
38.0ms328×body160valid