Details

Time bar (total: 2.9s)

analyze698.0ms

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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0520313

prune13.0ms

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.2b
(/ t (* 2.0 z))
0.5b
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity
25×times-frac
16×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×difference-of-squares
7×associate-/r*
6×associate-/l*
5×add-log-exp
4×distribute-lft-out--
3×pow1 cbrt-undiv div-exp associate-/r/
2×frac-2neg clear-num div-inv
1×+-commutative flip3-- flip3-+ prod-exp sum-log frac-sub flip-- cbrt-unprod flip-+ distribute-lft-out
Counts
3 → 75
Calls
3 calls:
16.0ms
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
4.0ms
(/ t (* 2.0 z))
15.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
3.0ms
(/ t (* 2.0 z))
8.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049681131
149681131

prune150.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh011
Picked011
Done000
Total81586

Merged error: 0.0b

Counts
86 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.7b
(- (* (* z 2.0) z) (* y t))
18.4b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
9.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series55.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms
(- (* (* z 2.0) z) (* y t))
24.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04969907
14969907

prune87.0ms

Filtered
44 candidates to 58 candidates (-31.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh213
Picked011
Done011
Total59463

Merged error: 0b

Counts
63 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (* y (/ t z)))))
3.7b
(* y (/ t z))
4.7b
(/ (* y 2.0) (- (* 2.0 z) (* y (/ t z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity
13×add-exp-log add-cube-cbrt times-frac associate-*r* add-cbrt-cube
5×pow1 add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp associate-/r* cbrt-unprod
2×flip3-- associate-/r/ flip-- div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
7.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (* y (/ t z)))))
6.0ms
(* y (/ t z))
7.0ms
(/ (* y 2.0) (- (* 2.0 z) (* y (/ t z))))

series46.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (* y (/ t z)))))
5.0ms
(* y (/ t z))
23.0ms
(/ (* y 2.0) (- (* 2.0 z) (* y (/ t z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04994840
14994840

prune96.0ms

Filtered
55 candidates to 77 candidates (-40.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

4.2b
(* t (/ t (* z (* z (* 2.0 2.0)))))
6.8b
(/ z (* y y))
7.1b
(/ t (* z (* z (* 2.0 2.0))))
33.6b
(* (/ -1 (- (* z (/ z (* y y))) (* t (/ t (* z (* z (* 2.0 2.0))))))) (+ (/ z y) (/ t (* 2.0 z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
21×*-un-lft-identity
20×prod-exp cbrt-unprod
19×add-cube-cbrt times-frac associate-*l*
11×cbrt-undiv div-exp associate-*r*
8×pow1
6×associate-*r/ associate-/l*
4×div-inv add-log-exp
3×frac-times associate-/r/ unswap-sqr
2×frac-2neg flip3-+ pow-prod-down frac-add clear-num associate-/r* *-commutative flip-+
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l/ frac-sub flip-- distribute-lft-out
Counts
4 → 121
Calls
4 calls:
11.0ms
(* t (/ t (* z (* z (* 2.0 2.0)))))
4.0ms
(/ z (* y y))
8.0ms
(/ t (* z (* z (* 2.0 2.0))))
23.0ms
(* (/ -1 (- (* z (/ z (* y y))) (* t (/ t (* z (* z (* 2.0 2.0))))))) (+ (/ z y) (/ t (* 2.0 z))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* t (/ t (* z (* z (* 2.0 2.0)))))
5.0ms
(/ z (* y y))
6.0ms
(/ t (* z (* z (* 2.0 2.0))))
18.0ms
(* (/ -1 (- (* z (/ z (* y y))) (* t (/ t (* z (* z (* 2.0 2.0))))))) (+ (/ z y) (/ t (* 2.0 z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
055412258

prune180.0ms

Filtered
89 candidates to 133 candidates (-49.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done033
Total1334137

Merged error: 0b

Counts
137 → 4

regimes357.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06113
16113

end0.0ms

sample626.0ms

Algorithm
intervals
Results
401.0ms8000×body80valid

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