Details

Time bar (total: 2.6s)

analyze438.0ms

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
0%99.8%0.2%8
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms95×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01019
11019

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ (- (+ x y) z) (* t 2.0))

series11.0ms

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

simplify20.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05363353

prune40.0ms

Filtered
23 candidates to 33 candidates (-43.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.5 (/ y t)) (* (/ 0.5 t) (- x z)))
0.3b
(* (/ 0.5 t) (- x z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
9×associate-*r/
7×add-exp-log add-cbrt-cube
5×associate-*r* frac-add
4×pow1 frac-times sub-neg flip3-- flip-- add-log-exp
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
6.0ms
(+ (* 0.5 (/ y t)) (* (/ 0.5 t) (- x z)))
8.0ms
(* (/ 0.5 t) (- x z))

series23.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (* 0.5 (/ y t)) (* (/ 0.5 t) (- x z)))
9.0ms
(* (/ 0.5 t) (- x z))

simplify50.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05149711

prune75.0ms

Filtered
51 candidates to 64 candidates (-25.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh011
Picked011
Done011
Total63467

Merged error: 0b

Counts
67 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (- y z)))
0.0b
(sqrt (- (+ x y) z))
0.1b
(/ t (sqrt (+ x (- y z))))
0.2b
(/ (sqrt (- (+ x y) z)) (* 2.0 (/ t (sqrt (+ x (- y z))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
43×sqrt-prod
35×add-sqr-sqrt
33×times-frac
27×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×distribute-lft-out
12×associate-/l*
11×distribute-lft-out--
9×associate-/r*
8×sqrt-div
6×pow1
5×cbrt-undiv div-exp
4×add-log-exp
3×associate-/r/ difference-of-squares
2×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 prod-exp clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l/
1×associate-*r/
Counts
4 → 122
Calls
4 calls:
7.0ms
(sqrt (+ x (- y z)))
5.0ms
(sqrt (- (+ x y) z))
8.0ms
(/ t (sqrt (+ x (- y z))))
16.0ms
(/ (sqrt (- (+ x y) z)) (* 2.0 (/ t (sqrt (+ x (- y z))))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ x (- y z)))
10.0ms
(sqrt (- (+ x y) z))
20.0ms
(/ t (sqrt (+ x (- y z))))
11.0ms
(/ (sqrt (- (+ x y) z)) (* 2.0 (/ t (sqrt (+ x (- y z))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052431595

prune103.0ms

Filtered
89 candidates to 134 candidates (-50.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done022
Total1344138

Merged error: 0b

Counts
138 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* t (+ x z))
0.0b
(* (+ x z) (* 0.5 (+ y (- x z))))
31.5b
(/ (* (+ x z) (* 0.5 (+ y (- x z)))) (* t (+ x z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
20×associate-*r/
14×flip3-+ flip-+
13×prod-exp cbrt-unprod
10×pow1 *-un-lft-identity
8×add-sqr-sqrt frac-times associate-/l/
7×associate-*l*
6×cbrt-undiv add-cube-cbrt div-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down associate-*l/
3×add-log-exp
2×associate-/r/ *-commutative distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
3 → 89
Calls
3 calls:
6.0ms
(* t (+ x z))
13.0ms
(* (+ x z) (* 0.5 (+ y (- x z))))
15.0ms
(/ (* (+ x z) (* 0.5 (+ y (- x z)))) (* t (+ x z)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* t (+ x z))
10.0ms
(* (+ x z) (* 0.5 (+ y (- x z))))
11.0ms
(/ (* (+ x z) (* 0.5 (+ y (- x z)))) (* t (+ x z)))

simplify30.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050261162

prune80.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done033
Total984102

Merged error: 0b

Counts
102 → 4

regimes439.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

analyze427.0ms

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
0%99.8%0.2%8
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14

sample565.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
81.0ms2780×body80invalid

Profiling

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