Details

Time bar (total: 4.7s)

sample52.0ms

Algorithm
intervals
Results
15.0ms33×body1280valid
10.0ms205×body80valid
6.0ms23×body640valid
3.0ms89×body80nan
3.0ms16×body320valid
1.0ms10×body160valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

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))))
7.9b
(log (/ y (+ z y)))

rewrite58.0ms

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
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* associate-/r* div-inv
3×associate-*l* associate-/l*
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 → 129
Calls
4 calls:
5.0ms
(/ y (+ z y))
31.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ z y))
69.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms
(* y (log (/ y (+ z y))))
53.0ms
(log (/ y (+ z y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03811006
11513928
25001904

prune324.0ms

Filtered
141 candidates to 90 candidates (63.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1383141
Fresh000
Picked101
Done000
Total1393142

Merged error: 0.0b

Counts
142 → 3

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))))

rewrite29.0ms

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
6×pow1
4×cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
182.0ms
(cbrt y)
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify80.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune573.0ms

Filtered
152 candidates to 102 candidates (67.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh022
Picked011
Done000
Total1523155

Merged error: 0.0b

Counts
155 → 3

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
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
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 → 40
Calls
2 calls:
5.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series45.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (/ (exp (* -1 z)) y))
20.0ms
(/ (exp (* -1 z)) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0176274
1464258
22001256
35002256

prune108.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh011
Picked011
Done011
Total45449

Merged error: 0b

Counts
49 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 144
Calls
4 calls:
3.0ms
(cbrt (/ (exp (* -1 z)) y))
3.0ms
(cbrt (/ (exp (* -1 z)) y))
3.0ms
(cbrt (/ (exp (* -1 z)) y))
13.0ms
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(cbrt (/ (exp (* -1 z)) y))
72.0ms
(cbrt (/ (exp (* -1 z)) y))
71.0ms
(cbrt (/ (exp (* -1 z)) y))
94.0ms
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03251726
111511645
250011565

prune501.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh011
Picked011
Done022
Total1564160

Merged error: 0b

Counts
160 → 4

regimes67.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12918
22918

end0.0ms

sample1.4s

Algorithm
intervals
Results
343.0ms759×body1280valid
306.0ms6494×body80valid
243.0ms915×body640valid
103.0ms3070×body80nan
96.0ms549×body320valid
38.0ms353×body160valid