Details

Time bar (total: 2.4s)

analyze354.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms25×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite12.0ms

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:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
8.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune67.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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))
7.0ms
(/ x (/ z (+ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0413869
11890835
25001832

prune103.0ms

Filtered
92 candidates to 129 candidates (-40.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh235
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite15.0ms

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:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune61.0ms

Filtered
50 candidates to 74 candidates (-48.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done011
Total74680

Merged error: 0b

Counts
80 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

10.5b
(* (/ x z) (+ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×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
frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
8.0ms
(* (/ x z) (+ y z))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (/ x z) (+ y z))

simplify33.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0315204
11176183
25001179

prune31.0ms

Filtered
29 candidates to 42 candidates (-44.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh033
Picked011
Done022
Total42648

Merged error: 0b

Counts
48 → 6

regimes180.0ms

Accuracy

9% (2.8b remaining)

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

bsearch313.0ms

Steps
ItersRangePoint
7
1.4395867664777184e-58
3.419392645412724e-56
5.423747443175827e-57
8
-9.585242263870958e-215
-6.939344657716296e-219
-3.6527240866960095e-216

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

analyze553.0ms

Algorithm
search

sample391.0ms

Algorithm
intervals
Results
204.0ms8000×body80valid
18.0ms764×body80invalid

Profiling

Loading profile data...