Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.7b
(/ (* x (+ y z)) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* x (+ y z))
11.0ms
(/ (* x (+ y z)) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune94.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
4.3b
(* x (/ (+ y z) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/l*
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
8.0ms
(/ (+ y z) z)
15.0ms
(* x (/ (+ y z) z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
38.0ms
(* x (/ (+ y z) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune129.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
4.3b
(/ x (/ z (+ y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
9.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ z (+ y z))
42.0ms
(/ x (/ z (+ y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413869
11890835
25002832

prune239.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ (/ x z) (/ 1 (+ y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
573×times-frac
330×*-un-lft-identity
246×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
34×div-inv
29×associate-/r/
23×add-exp-log
18×associate-/r*
16×div-exp
14×flip3-+ flip-+
13×add-cbrt-cube associate-/l*
cbrt-undiv
rec-exp 1-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 289
Calls
1 calls:
19.0ms
(/ (/ x z) (/ 1 (+ y z)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (/ x z) (/ 1 (+ y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013783299
150012936

prune442.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

93.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
13127
23427
33427

end0.0ms

sample420.0ms

Algorithm
intervals
Results
212.0ms9595×body80valid