Details

Time bar (total: 1.8min)

sample63.0ms

Algorithm
intervals
Results
20.0ms415×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06615
16615

prune12.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
4.0ms
(+ (* x y) (* z t))
9.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms
(+ (+ (* x y) (* z t)) (* a b))

series140.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x y) (* z t))
111.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04895677
14895677

prune71.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

4.5b
(* x (* x (* y y)))
8.2b
(* z (* t t))
9.4b
(* x (* y y))
24.2b
(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
23×pow1
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×pow-prod-down prod-exp cbrt-unprod
times-frac associate-*l*
add-log-exp
associate-*r* associate-/r* *-commutative associate-/l*
flip3-- associate-/r/ flip-- associate-/l/ unswap-sqr
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
7.0ms
(* x (* x (* y y)))
5.0ms
(* z (* t t))
5.0ms
(* x (* y y))
12.0ms
(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (* x (* y y)))
10.0ms
(* z (* t t))
7.0ms
(* x (* y y))
29.0ms
(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

simplify26.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
051671250

prune95.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done011
Total1034107

Merged error: 0.0b

Counts
107 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.2b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b
(sqrt (+ (* x y) (* z t)))
0.8b
(sqrt (+ (* x y) (* z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
4.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
20.0ms
(sqrt (+ (* x y) (* z t)))
20.0ms
(sqrt (+ (* x y) (* z t)))

simplify34.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
055171320

prune96.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done022
Total1104114

Merged error: 0.0b

Counts
114 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
2.8b
(* c (* c (* i i)))
9.9b
(* c (* i i))
33.7b
(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
times-frac pow-prod-down prod-exp cbrt-unprod
associate-*l* add-log-exp
associate-/r* associate-/l*
flip3-- associate-*r* associate--l+ associate-/r/ *-commutative flip-- associate-/l/
cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv unswap-sqr
Counts
4 → 86
Calls
4 calls:
15.0ms
(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
7.0ms
(* c (* c (* i i)))
5.0ms
(* c (* i i))
23.0ms
(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

series1.7min

Counts
4 → 12
Calls
4 calls:
1.7min
(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
7.0ms
(* c (* c (* i i)))
7.0ms
(* c (* i i))
306.0ms
(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050632900

prune106.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done033
Total975102

Merged error: 0.0b

Counts
102 → 5

regimes1.5s

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
02215
12215

end0.0ms

sample1.8s

Algorithm
intervals
Results
671.0ms13619×body80valid

Profiling

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