Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms313×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.8b
(/ (* x (- y z)) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod 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 → 49
Calls
2 calls:
17.0ms
(* x (- y z))
12.0ms
(/ (* x (- y z)) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune81.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.8b
(/ x (/ y (- y z)))

rewrite24.0ms

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 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- y z))
45.0ms
(/ x (/ y (- y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04721043
122201007
250011004

prune273.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(* x (/ (- y z) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l* distribute-lft-out-- difference-of-squares
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
15.0ms
(* x (/ (- y z) y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (/ (- y z) y))

simplify107.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0196200
1902179
24227179
35002179

prune70.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.2b
(/ 1 (/ y (* x (- y z))))
9.9b
(/ y (* x (- y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 113
Calls
3 calls:
10.0ms
(* x (- y z))
11.0ms
(/ 1 (/ y (* x (- y z))))
8.0ms
(/ y (* x (- y z)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* x (- y z))
48.0ms
(/ 1 (/ y (* x (- y z))))
52.0ms
(/ y (* x (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0382686
11928597
25002546

prune152.0ms

Filtered
122 candidates to 63 candidates (51.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

10.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.1b

bsearch67.0ms

Steps
ItersRangePoint
10
1.701896342459868e-91
3.5471976424219325e-77
3.778007695720325e-84
9
-2.953444608221284e-193
-7.443221916646896e-203
-2.976094487830468e-197

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample391.0ms

Algorithm
intervals
Results
203.0ms9566×body80valid