Details

Time bar (total: 1.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
7.0ms
(/ (* x y) (+ y 1.0))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* x y) (+ y 1.0))

simplify140.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0196146
1876121
24575120
35001120

prune47.0ms

Filtered
28 candidates to 20 candidates (28.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New25328
Fresh000
Picked101
Done000
Total26329

Merged error: 0b

Counts
29 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
7.6b
(* (* x y) (/ 1 (+ y 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×add-exp-log
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
18×associate-*r*
16×add-cbrt-cube
12×prod-exp
8×pow1
7×distribute-lft-out
6×div-exp cbrt-unprod
4×associate-/r* associate-/r/
3×cbrt-undiv rec-exp 1-exp pow-prod-down associate-/l*
2×flip3-+ flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
2 → 80
Calls
2 calls:
5.0ms
(/ 1 (+ y 1.0))
10.0ms
(* (* x y) (/ 1 (+ y 1.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1 (+ y 1.0))
7.0ms
(* (* x y) (/ 1 (+ y 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0370441
11853363
25001326

prune69.0ms

Filtered
86 candidates to 42 candidates (51.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done000
Total86389

Merged error: 0b

Counts
89 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* 1.0 (- (/ x (pow y 2)) (/ x y))))
3.3b
(- (/ x (pow y 2)) (/ x y))
8.0b
(/ x (pow y 2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×times-frac
37×*-un-lft-identity
24×add-cube-cbrt
14×unpow-prod-down
10×unpow2 difference-of-squares
8×add-exp-log associate-/r*
7×add-log-exp
6×sqr-pow
5×add-cbrt-cube distribute-lft-out--
4×associate-+r+ distribute-rgt-out--
3×pow1 sub-neg div-exp div-inv associate-/l*
2×distribute-rgt-in distribute-lft-in
1×cbrt-undiv +-commutative pow-to-exp flip3-- frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-- flip-+
Counts
3 → 96
Calls
3 calls:
6.0ms
(+ x (* 1.0 (- (/ x (pow y 2)) (/ x y))))
24.0ms
(- (/ x (pow y 2)) (/ x y))
5.0ms
(/ x (pow y 2))

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ x (* 1.0 (- (/ x (pow y 2)) (/ x y))))
7.0ms
(- (/ x (pow y 2)) (/ x y))
6.0ms
(/ x (pow y 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0370672
11317615
25002600

prune116.0ms

Filtered
105 candidates to 68 candidates (35.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (- (pow y 3) (pow y 2)))
2.9b
(* (* 1.0 x) (+ y (- (pow y 3) (pow y 2))))
6.2b
(- (pow y 3) (pow y 2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity difference-of-squares
10×add-log-exp
8×pow1 add-exp-log unpow-prod-down add-cbrt-cube sqr-pow
6×unpow2
5×associate-*r*
4×add-cube-cbrt cube-prod distribute-lft-out distribute-lft-out--
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-+r+ flip3-+ diff-log associate-*r/ sum-log flip-+
1×+-commutative distribute-rgt-in cube-mult associate-+r- flip3-- distribute-rgt-out-- distribute-lft-in unpow3 associate-*l* *-commutative flip--
Counts
3 → 72
Calls
3 calls:
13.0ms
(+ y (- (pow y 3) (pow y 2)))
18.0ms
(* (* 1.0 x) (+ y (- (pow y 3) (pow y 2))))
9.0ms
(- (pow y 3) (pow y 2))

series24.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ y (- (pow y 3) (pow y 2)))
14.0ms
(* (* 1.0 x) (+ y (- (pow y 3) (pow y 2))))
7.0ms
(- (pow y 3) (pow y 2))

simplify53.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0336538
11624461
25001445

prune99.0ms

Filtered
81 candidates to 43 candidates (46.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done022
Total81384

Merged error: 0b

Counts
84 → 3

regimes94.0ms

Accuracy

94.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 8.3b

bsearch32.0ms

Steps
ItersRangePoint
10
2.1883454756263605e-10
1462273.898396938
1.0091653381460255
10
-75024799.39867926
-1.4323422836125114e-07
-1.0116832049766011

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012

end0.0ms

sample406.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid

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