Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms319×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
7.9b
(/ (* x (+ y z)) z)

rewrite17.0ms

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:
9.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
37.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune95.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.3b
(/ x (/ z (+ y z)))

rewrite20.0ms

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:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
47.0ms
(/ x (/ z (+ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25002832

prune240.0ms

Filtered
129 candidates to 91 candidates (70.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.1b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
7.0ms
(+ (/ (* x y) z) x)
3.0ms
(/ (* x y) z)

series49.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0168160
1736144
23353142
35001142

prune68.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) x)
0.4b
(/ 1 (/ z (* x y)))
4.0b
(/ z (* x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
29×add-exp-log
24×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
associate-/r*
cbrt-undiv div-inv
associate-/l*
add-log-exp
pow1 prod-exp
rec-exp 1-exp
frac-2neg clear-num cbrt-unprod distribute-lft-out
+-commutative pow-flip flip3-+ sum-log associate-/r/ flip-+ inv-pow
Counts
3 → 90
Calls
3 calls:
24.0ms
(+ (/ 1 (/ z (* x y))) x)
6.0ms
(/ 1 (/ z (* x y)))
3.0ms
(/ z (* x y))

series68.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ 1 (/ z (* x y))) x)
21.0ms
(/ 1 (/ z (* x y)))
20.0ms
(/ z (* x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0327502
11524399
25001388

prune129.0ms

Filtered
99 candidates to 51 candidates (51.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

17.8% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.2b

bsearch103.0ms

Steps
ItersRangePoint
8
1.5653437301363384e+210
3.891062487302841e+213
1.9580587504609131e+211
11
1.1779145825069312e-36
1.4682604159615492e-08
9.812435150730998e-21
9
-1.9067359219981106e+241
-2.5223391766764033e+235
-1.7672276150092905e+236

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample395.0ms

Algorithm
intervals
Results
205.0ms9659×body80valid