Details

Time bar (total: 2.2s)

sample20.0ms

Algorithm
intervals
Results
6.0ms191×body80valid
3.0ms32×body640valid
1.0ms11×body1280valid
1.0ms16×body320valid
0.0ms6×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0165
1355
2745
31285
42525
53745
65145
76425
87775
910105
1016865
1150015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.3b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.3b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* (- 1.0 x) y)
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- 1.0 x) y)
64.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
46.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0338401
11456359
25001359

prune119.0ms

Filtered
72 candidates to 51 candidates (70.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New70272
Fresh000
Picked101
Done000
Total71273

Merged error: 0.0b

Counts
73 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
2.3b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-sqr-sqrt associate-*r*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- flip-- distribute-lft-out
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-+ diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
12.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series112.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
69.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0362398
11550365
25001365

prune86.0ms

Filtered
61 candidates to 44 candidates (72.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done000
Total61263

Merged error: 0.0b

Counts
63 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ 1 y) (/ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
14×times-frac
6×difference-of-squares
5×div-inv distribute-lft-out--
3×add-cube-cbrt distribute-rgt-out-- add-log-exp
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- sub-div
Counts
1 → 28
Calls
1 calls:
13.0ms
(- (/ 1 y) (/ x y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(- (/ 1 y) (/ x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0130178
1352170
21348165
35002154

prune46.0ms

Filtered
31 candidates to 21 candidates (67.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done011
Total30333

Merged error: 0.0b

Counts
33 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1) y)
0.1b
(/ (/ 1 y) y)
8.0b
(* (/ (/ 1 y) y) (- 1 (* x x)))
30.1b
(/ (* (/ (/ 1 y) y) (- 1 (* x x))) (/ (+ x 1) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
129×*-un-lft-identity
121×add-sqr-sqrt
107×add-cube-cbrt
80×add-exp-log
52×add-cbrt-cube
43×div-exp associate-*l*
25×cbrt-undiv
22×associate-/r*
18×associate-/l*
15×prod-exp
14×div-inv
10×distribute-lft-out
9×pow1 cbrt-unprod
8×associate-/l/
5×associate-*r* unswap-sqr
4×frac-times rec-exp flip3-- 1-exp associate-*r/ flip-- add-log-exp
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ difference-of-squares pow-div
1×pow-flip flip3-+ pow-prod-down associate-/r/ *-commutative flip-+ inv-pow
Counts
4 → 255
Calls
4 calls:
5.0ms
(/ (+ x 1) y)
6.0ms
(/ (/ 1 y) y)
15.0ms
(* (/ (/ 1 y) y) (- 1 (* x x)))
21.0ms
(/ (* (/ (/ 1 y) y) (- 1 (* x x))) (/ (+ x 1) y))

series176.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ x 1) y)
15.0ms
(/ (/ 1 y) y)
60.0ms
(* (/ (/ 1 y) y) (- 1 (* x x)))
78.0ms
(/ (* (/ (/ 1 y) y) (- 1 (* x x))) (/ (+ x 1) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010462034
150011679

prune417.0ms

Filtered
267 candidates to 160 candidates (59.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2661267
Fresh000
Picked101
Done022
Total2673270

Merged error: 0.0b

Counts
270 → 3

regimes80.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.4b

bsearch95.0ms

Steps
ItersRangePoint
11
1.4731263457460937
2.5158614700293387e+20
189042688.8557912
10
-71135704204377.25
-6.784177417847745e-05
-120469229.52826135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

sample499.0ms

Algorithm
intervals
Results
183.0ms6085×body80valid
76.0ms716×body640valid
50.0ms379×body1280valid
42.0ms523×body320valid
16.0ms297×body160valid