Details

Time bar (total: 1.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.0b
(/ (* x (- y z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
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:
6.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
44.0ms
(/ (* x (- y z)) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune84.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.5b
(/ x (/ y (- y z)))

rewrite19.0ms

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/
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 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
8.0ms
(/ x (/ y (- y z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- y z))
44.0ms
(/ x (/ y (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04721043
122201007
250011004

prune264.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.7b
(* x (/ (- y z) y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- y z) y)
11.0ms
(* x (/ (- y z) y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- y z) y)
44.0ms
(* x (/ (- y z) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0264396
11187365
25001364

prune134.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

12.0b
(* (/ x y) (- y z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
11.0ms
(* (/ x y) (- y z))

series44.0ms

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

simplify91.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0241221
1985200
24257192
35003192

prune64.0ms

Filtered
45 candidates to 28 candidates (62.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

1.3% (3.0b remaining)

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

bsearch43.0ms

Steps
ItersRangePoint
3
-1.7423430416434064e-289
-1.4023342354740246e-289
-1.593589188944302e-289
9
-6.993167399389286e-157
-3.6577856814531224e-162
-2.0240826866579912e-160

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample433.0ms

Algorithm
intervals
Results
229.0ms9586×body80valid