Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms289×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

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: 12.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.6b
(/ (* x (- y z)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
58.0ms
(/ (* x (- y z)) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0299483
11416328
25001328

prune113.0ms

Filtered
77 candidates to 41 candidates (53.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73477
Fresh000
Picked011
Done000
Total73578

Merged error: 0.0b

Counts
78 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.0b
(/ x (/ y (- y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
53.0ms
(/ x (/ y (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04791057
122391019
250021016

prune286.0ms

Filtered
149 candidates to 112 candidates (75.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh213
Picked101
Done011
Total1504154

Merged error: 0b

Counts
154 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- y z))
0.0b
(log1p (expm1 (/ y (- y z))))
0.6b
(expm1 (/ y (- y z)))
1.0b
(/ x (log1p (expm1 (/ y (- y z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt *-un-lft-identity
24×times-frac
22×add-cube-cbrt
8×add-exp-log associate-/r* add-cbrt-cube
6×associate-/l*
5×log1p-expm1-u
4×pow1 expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv
1×log1p-udef expm1-log1p flip3-- log1p-expm1 flip-- expm1-udef
Counts
4 → 90
Calls
4 calls:
6.0ms
(/ y (- y z))
1.0ms
(log1p (expm1 (/ y (- y z))))
1.0ms
(expm1 (/ y (- y z)))
3.0ms
(/ x (log1p (expm1 (/ y (- y z)))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ y (- y z))
89.0ms
(log1p (expm1 (/ y (- y z))))
72.0ms
(expm1 (/ y (- y z)))
138.0ms
(/ x (log1p (expm1 (/ y (- y z)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0239556
1733466
22472456
35001456

prune207.0ms

Filtered
102 candidates to 78 candidates (76.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh022
Picked011
Done011
Total1024106

Merged error: 0b

Counts
106 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.2b
(/ 1 (/ y (* x (- y z))))
11.6b
(/ y (* x (- y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 137
Calls
3 calls:
7.0ms
(* x (- y z))
9.0ms
(/ 1 (/ y (* x (- y z))))
7.0ms
(/ y (* x (- y z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* x (- y z))
48.0ms
(/ 1 (/ y (* x (- y z))))
61.0ms
(/ y (* x (- y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0463962
12252745
25001688

prune166.0ms

Filtered
146 candidates to 74 candidates (50.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done022
Total1464150

Merged error: 0b

Counts
150 → 4

regimes76.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085

end0.0ms

sample472.0ms

Algorithm
intervals
Results
264.0ms9537×body80valid