Details

Time bar (total: 7.6s)

sample47.0ms

Algorithm
intervals
Results
12.0ms26×body1280valid
9.0ms209×body80valid
7.0ms26×body640valid
3.0ms17×body320valid
3.0ms92×body80nan
1.0ms11×body160valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
8.4b
(log (/ y (+ z y)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
207×*-un-lft-identity
198×log-prod
144×exp-sum
141×add-sqr-sqrt
139×add-cube-cbrt
90×distribute-rgt-in distribute-lft-in
39×associate-/l*
34×distribute-lft-out
22×associate-/r/
12×flip3-+ flip-+ div-inv
10×add-exp-log
8×pow1 add-cbrt-cube
6×add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×fma-def associate-*l* associate-/r*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 278
Calls
4 calls:
35.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
68.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
74.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms
(* y (log (/ y (+ z y))))
47.0ms
(log (/ y (+ z y)))

simplify272.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08683073
127122640
250022626

prune642.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (exp (* y 0)) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
7.0ms
(+ x (/ (exp (* y 0)) y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ x (/ (exp (* y 0)) y))

simplify93.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
089102
129178
283273
3250371
4500171

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)) (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)))
8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
1034×times-frac
714×*-un-lft-identity
640×cbrt-prod add-sqr-sqrt
614×log-prod
560×exp-sum
444×add-cube-cbrt
280×distribute-rgt-in distribute-lft-in
160×swap-sqr
124×associate-*r* associate-*l*
117×distribute-lft-out
54×associate-/r/
49×unswap-sqr
31×div-inv
27×flip3-+ flip-+
15×add-exp-log
14×pow1
6×pow1/3 rem-log-exp
4×expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×log-div div-exp log-pow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 573
Calls
4 calls:
342.0ms
(* (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)) (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
759.0ms
(* (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)) (cbrt (/ (exp (* y (log (/ y (+ z y))))) y)))
51.0ms
(log (/ y (+ z y)))
47.0ms
(log (/ y (+ z y)))
54.0ms
(log (/ y (+ z y)))

simplify202.0ms

Algorithm
egg-herbie
Counts
585 → 585
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0162313085
1432212715
2500112553

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×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:
7.0ms
(+ x (/ (exp (* -1 z)) y))
3.0ms
(/ (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)

simplify69.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune125.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

85.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.2b

bsearch101.0ms

Steps
ItersRangePoint
8
0.00010735495496369802
0.1816591965584185
0.004239066937144145
9
-1.9370739791734382e+124
-2.1853712282304658e+117
-3.8660452153577406e+122

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0278
1278

end0.0ms

sample1.4s

Algorithm
intervals
Results
361.0ms793×body1280valid
302.0ms6517×body80valid
252.0ms922×body640valid
111.0ms614×body320valid
96.0ms3036×body80nan
35.0ms327×body160valid