Details

Time bar (total: 9.1s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample39.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
6.0ms108×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
010417
110417

prune13.0ms

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) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt
4×diff-log
3×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate-+l+ associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 46
Calls
3 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
10.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series84.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
47.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
25.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify24.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
058161043

prune86.0ms

Filtered
45 candidates to 55 candidates (-22.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0.0b

Counts
56 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))
0.1b
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
0.1b
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
0.2b
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
13×add-log-exp
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sum-log pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l- associate-+r- associate-+r+ pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
9.0ms
(+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))
7.0ms
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
7.0ms
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
19.0ms
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))

series996.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))
459.0ms
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
442.0ms
(sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))
48.0ms
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049702884
149702884

prune199.0ms

Filtered
72 candidates to 114 candidates (-58.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh011
Picked011
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
0.1b
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
0.2b
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))))
0.3b
(* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
91×sqrt-pow1 sqrt-prod
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
16×associate-*r/
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r* associate-*l/
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 197
Calls
4 calls:
9.0ms
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
13.0ms
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
36.0ms
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))))
24.0ms
(* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
51.0ms
(sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))
51.0ms
(* (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))) (* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c))))))
460.0ms
(* (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))) (sqrt (sqrt (+ (* x y) (+ (- (* t (/ z 16.0)) (* b (/ a 4.0))) c)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049536351
149536351

prune408.0ms

Filtered
104 candidates to 209 candidates (-101.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2090209
Fresh011
Picked011
Done022
Total2094213

Merged error: 0.0b

Counts
213 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

7.8b
(* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y)))))
9.0b
(* x (* y y))
9.0b
(* x (* y y))
38.4b
(/ (- (* 4.0 (+ (pow (* x y) 3) (pow (* t (/ z 16.0)) 3))) (* a (* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))) (* 4.0 (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×prod-exp cbrt-unprod
7×pow-prod-down
6×flip3-+ flip-+ associate-/l/
5×associate-*r*
4×frac-sub add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub clear-num associate-/r* flip-- div-inv
Counts
4 → 90
Calls
4 calls:
10.0ms
(* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y)))))
5.0ms
(* x (* y y))
6.0ms
(* x (* y y))
22.0ms
(/ (- (* 4.0 (+ (pow (* x y) 3) (pow (* t (/ z 16.0)) 3))) (* a (* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))) (* 4.0 (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y)))))
7.0ms
(* x (* y y))
7.0ms
(* x (* y y))
176.0ms
(/ (- (* 4.0 (+ (pow (* x y) 3) (pow (* t (/ z 16.0)) 3))) (* a (* b (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))) (* 4.0 (+ (* x (* x (* y y))) (* (* t (/ z 16.0)) (- (* t (/ z 16.0)) (* x y))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049762912
149762912

prune262.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done033
Total1024106

Merged error: 0.0b

Counts
106 → 4

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample1.2s

Algorithm
intervals
Results
464.0ms8000×body80valid
216.0ms3827×body80invalid

Profiling

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