Details

Time bar (total: 1.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms300×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 14.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.2b
(/ (* x (- y z)) y)

rewrite14.0ms

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))
7.0ms
(/ (* x (- y z)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
48.0ms
(/ (* x (- y z)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune85.0ms

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))
2.6b
(/ x (/ y (- y z)))

rewrite20.0ms

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)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ y (- y z))
48.0ms
(/ x (/ y (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04721043
122201007
250011004

prune287.0ms

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 2 expressions with local error:

0.0b
(/ (- y z) y)
2.6b
(* x (/ (- y z) y))

rewrite18.0ms

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:
6.0ms
(/ (- y z) y)
10.0ms
(* x (/ (- y z) y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- y z) y)
50.0ms
(* x (/ (- y z) y))

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0264396
11187365
25001364

prune145.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.6b
(* x (- 1 (/ z y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
associate-*r*
*-un-lft-identity
difference-of-squares
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in times-frac associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
10.0ms
(* x (- 1 (/ z y)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (- 1 (/ z y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149141
1608125
22008125
35002125

prune48.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

17.4% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.0b

bsearch68.0ms

Steps
ItersRangePoint
11
-7.993200018037251e-202
-1.3191308701570207e-221
-5.876122501273217e-221
9
-7.744109400538851e-78
-9.640169736704656e-84
-3.66098798464867e-81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample393.0ms

Algorithm
intervals
Results
202.0ms9569×body80valid