Details

Time bar (total: 3.1s)

analyze582.0ms

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
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms66×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0679
1679

prune10.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.4b
(* (/ x y) (- z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+l+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
10.0ms
(* (/ x y) (- z t))

series27.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* (/ x y) (- z t)) t)
16.0ms
(* (/ x y) (- z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05055585

prune85.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53659
Fresh011
Picked011
Done000
Total53861

Merged error: 0.0b

Counts
61 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
25.0ms
(cbrt x)
23.0ms
(cbrt x)
14.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

simplify34.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05009760

prune89.0ms

Filtered
56 candidates to 102 candidates (-82.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh066
Picked011
Done011
Total1019110

Merged error: 0b

Counts
110 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
2.5b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (- z t) (/ x (cbrt y))))
2.9b
(* (- z t) (/ x (cbrt y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac associate-*r*
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
12×associate-*l*
11×pow1 frac-times
10×cbrt-undiv
8×associate-*r/
7×associate-*l/
6×rec-exp flip3-- 1-exp flip--
4×pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
17.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (- z t) (/ x (cbrt y))))
11.0ms
(* (- z t) (/ x (cbrt y)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
23.0ms
(cbrt y)
18.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (- z t) (/ x (cbrt y))))
39.0ms
(* (- z t) (/ x (cbrt y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051321213

prune167.0ms

Filtered
85 candidates to 141 candidates (-65.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh066
Picked011
Done022
Total1419150

Merged error: 0b

Counts
150 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
4.5b
(/ (* x (- z t)) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
8.0ms
(+ (/ (* x (- z t)) y) t)
6.0ms
(* x (- z t))
7.0ms
(/ (* x (- z t)) y)

series32.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(* x (- z t))
13.0ms
(/ (* x (- z t)) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05913575

prune55.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66268
Fresh235
Picked011
Done123
Total69877

Merged error: 0b

Counts
77 → 8

regimes402.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

analyze597.0ms

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
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample528.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
59.0ms2096×body80invalid

Profiling

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