Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
6.0ms194×body80valid
3.0ms26×body640valid
2.0ms14×body1280valid
1.0ms14×body320valid
0.0ms8×body160valid

simplify68.0ms

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

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: 23.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.2b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.7b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite25.0ms

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:
7.0ms
(* (- 1.0 x) y)
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series141.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- 1.0 x) y)
66.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
46.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0338401
11456359
25001359

prune131.0ms

Filtered
72 candidates to 51 candidates (70.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh000
Picked101
Done000
Total68573

Merged error: 0.1b

Counts
73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
9.7b
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod *-un-lft-identity
22×add-sqr-sqrt
16×cbrt-div
14×add-cube-cbrt
11×pow1
9×swap-sqr
8×flip3-+ pow1/3 flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 sub-neg flip3-- pow-plus diff-log prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 93
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
10.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
3.0ms
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ y 1.0))
86.0ms
(cbrt (+ y 1.0))
101.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
68.0ms
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0406932
11428867
25002817

prune228.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done000
Total1055110

Merged error: 0.1b

Counts
110 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.1b
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
2.9b
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
17.3b
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×*-un-lft-identity associate-*l*
11×add-cube-cbrt
8×pow1 times-frac associate-*r*
7×flip3-- flip--
6×prod-exp cbrt-unprod add-log-exp
5×sub-neg associate-*l/ difference-of-squares
4×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r* associate-/r/ associate--r+
2×frac-times associate-*r/ pow-prod-down *-commutative div-inv associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg diff-log clear-num associate-/l*
Counts
4 → 105
Calls
4 calls:
7.0ms
(* (- 1.0 x) y)
15.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
3.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
13.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (- 1.0 x) y)
74.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
156.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
89.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05671027
13078900
25001900

prune192.0ms

Filtered
117 candidates to 82 candidates (70.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done011
Total1175122

Merged error: 0.1b

Counts
122 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1 y) (/ x y))
0.0b
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×*-un-lft-identity
14×times-frac
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out--
4×add-cube-cbrt associate-+l+
3×sub-neg distribute-rgt-out--
2×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
1×+-commutative flip3-- flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 43
Calls
2 calls:
13.0ms
(- (/ 1 y) (/ x y))
17.0ms
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (/ 1 y) (/ x y))
31.0ms
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0224317
1627291
22875282
35001274

prune65.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh022
Picked011
Done022
Total48654

Merged error: 0.1b

Counts
54 → 6

regimes188.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 15.2b

bsearch94.0ms

Steps
ItersRangePoint
10
40897918.92904403
3.4830069432900275e+18
130039871.63192005
10
-29464837670674116.0
-9627.362198738589
-90884300.06915216

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13314

end0.0ms

sample521.0ms

Algorithm
intervals
Results
193.0ms6029×body80valid
78.0ms720×body640valid
51.0ms377×body1280valid
45.0ms548×body320valid
18.0ms326×body160valid

Profiling

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