Details

Time bar (total: 2.9s)

sample32.0ms

Algorithm
intervals
Results
10.0ms199×body80valid
4.0ms23×body640valid
2.0ms14×body320valid
2.0ms8×body1280valid
1.0ms12×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0165
1355
2745
31285
42525
53745
65145
76425
87775
910105
1016865
1150025

prune3.0ms

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: 24.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
3.1b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
10.3b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite40.0ms

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:
11.0ms
(* (- 1.0 x) y)
12.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
15.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series147.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- 1.0 x) y)
65.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
54.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0338401
11456359
25001359

prune121.0ms

Filtered
72 candidates to 51 candidates (70.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New68472
Fresh000
Picked101
Done000
Total69473

Merged error: 0.2b

Counts
73 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
3.1b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
5.0ms
(/ y (+ y 1.0))
15.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series140.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ y (+ y 1.0))
44.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
63.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0400572
11790526
25001526

prune132.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done000
Total974101

Merged error: 0.2b

Counts
101 → 4

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))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(- (/ 1 y) (/ x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0130178
1352170
21334165
35001154

prune51.0ms

Filtered
31 candidates to 21 candidates (67.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New28331
Fresh022
Picked011
Done011
Total28735

Merged error: 0.2b

Counts
35 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
7.4b
(cbrt (- (/ 1 y) (/ x y)))
7.4b
(cbrt (- (/ 1 y) (/ x y)))
7.4b
(cbrt (- (/ 1 y) (/ x y)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
156×add-sqr-sqrt
145×*-un-lft-identity
139×cbrt-prod
98×times-frac
52×cbrt-div
45×div-inv
43×distribute-lft-out--
42×difference-of-squares
29×add-cube-cbrt
28×swap-sqr
25×distribute-rgt-out--
20×associate-*r* associate-*l*
16×frac-times
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
36.0ms
(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
13.0ms
(cbrt (- (/ 1 y) (/ x y)))
15.0ms
(cbrt (- (/ 1 y) (/ x y)))
12.0ms
(cbrt (- (/ 1 y) (/ x y)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
71.0ms
(cbrt (- (/ 1 y) (/ x y)))
72.0ms
(cbrt (- (/ 1 y) (/ x y)))
69.0ms
(cbrt (- (/ 1 y) (/ x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05202571
117792415
250012314

prune506.0ms

Filtered
213 candidates to 138 candidates (64.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2103213
Fresh224
Picked101
Done022
Total2137220

Merged error: 0.2b

Counts
220 → 7

regimes203.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.6b

bsearch80.0ms

Steps
ItersRangePoint
9
7233.4722653017725
4351496251009.609
180372486.11974135
9
-1062840214.3435993
-372.9323911053087
-175871767.16109896

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

sample631.0ms

Algorithm
intervals
Results
225.0ms6074×body80valid
99.0ms710×body640valid
66.0ms376×body1280valid
52.0ms524×body320valid
22.0ms316×body160valid

Profiling

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