Details

Time bar (total: 2.9s)

analyze713.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms17×body80invalid

simplify172.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (171.0ms)

IterNodesCost
052399

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.7b
(* (/ (- x y) (- z y)) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
21.0ms
(* (/ (- x y) (- z y)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054021183

prune122.0ms

Filtered
73 candidates to 108 candidates (-47.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh011
Picked101
Done000
Total1046110

Merged error: 0b

Counts
110 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
3.7b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 139
Calls
4 calls:
5.0ms
(/ x (- z y))
25.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))
29.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series58.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ x (- z y))
13.0ms
(- (/ x (- z y)) (/ y (- z y)))
7.0ms
(/ y (- z y))
31.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify57.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049631698
149631698

prune167.0ms

Filtered
113 candidates to 151 candidates (-33.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1492151
Fresh235
Picked101
Done000
Total1525157

Merged error: 0b

Counts
157 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
0.0b
(/ x (- z y))
0.2b
(/ 1 (+ (/ z y) -1))
3.7b
(* (- (/ x (- z y)) (/ 1 (+ (/ z y) -1))) t)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
83×add-sqr-sqrt
67×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
16×difference-of-squares
15×associate-*l*
12×add-exp-log
11×associate-/r*
10×add-cbrt-cube
8×difference-of-sqr--1 distribute-lft-out
7×pow1
6×associate-/l* add-log-exp
4×associate-/r/ div-inv
3×flip3-- div-exp associate-*r* associate-*l/ flip--
2×cbrt-undiv frac-2neg clear-num frac-sub
1×sub-neg rec-exp pow-flip flip3-+ diff-log 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ inv-pow unswap-sqr
Counts
4 → 139
Calls
4 calls:
31.0ms
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
5.0ms
(/ x (- z y))
8.0ms
(/ 1 (+ (/ z y) -1))
38.0ms
(* (- (/ x (- z y)) (/ 1 (+ (/ z y) -1))) t)

series55.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
7.0ms
(/ x (- z y))
5.0ms
(/ 1 (+ (/ z y) -1))
30.0ms
(* (- (/ x (- z y)) (/ 1 (+ (/ z y) -1))) t)

simplify61.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
054261920

prune178.0ms

Filtered
102 candidates to 151 candidates (-48.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1510151
Fresh044
Picked011
Done000
Total1515156

Merged error: 0b

Counts
156 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.9b
(* (- x y) (/ t (- z y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
15.0ms
(* (- x y) (/ t (- z y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05474856

prune79.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done011
Total89594

Merged error: 0b

Counts
94 → 5

regimes267.0ms

Accuracy

2.7% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch40.0ms

Steps
ItersRangePoint
9
1.0861958289617147e-117
1.1217007425589232e-112
9.78093185270767e-114
10
-7.078070537555908e-59
-1.2866152888653034e-77
-8.724343996531639e-74

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09833
19833

end0.0ms

sample511.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
21.0ms629×body80invalid

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