Details

Time bar (total: 2.0s)

analyze291.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0109
1109

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04978432
14978432

prune99.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New381250
Fresh000
Picked101
Done000
Total391251

Merged error: 3.1b

Counts
51 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
0.0b
(* (- 1.0 y) (neg z))
3.2b
(* x (* (- 1.0 y) (neg z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt associate-*l*
5×distribute-rgt-neg-out add-log-exp
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- associate-*r/ *-commutative flip--
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
9.0ms
(* (- 1.0 y) (neg z))
8.0ms
(* x (* (- 1.0 y) (neg z)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
5.0ms
(* (- 1.0 y) (neg z))
9.0ms
(* x (* (- 1.0 y) (neg z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05296640

prune93.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh8311
Picked011
Done000
Total78785

Merged error: 0.0b

Counts
85 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (- 1.0 y)) (neg z)))
0.0b
(* x (- 1.0 y))
2.7b
(* (* x (- 1.0 y)) (neg z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×sub-neg flip3-- associate-*l/ *-commutative distribute-rgt-neg-out flip--
1×+-commutative distribute-rgt-in neg-mul-1 distribute-lft-in flip3-+ unsub-neg sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x 1.0) (* (* x (- 1.0 y)) (neg z)))
6.0ms
(* x (- 1.0 y))
8.0ms
(* (* x (- 1.0 y)) (neg z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x 1.0) (* (* x (- 1.0 y)) (neg z)))
5.0ms
(* x (- 1.0 y))
9.0ms
(* (* x (- 1.0 y)) (neg z))

simplify55.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05235636

prune93.0ms

Filtered
50 candidates to 73 candidates (-46.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh235
Picked101
Done011
Total73780

Merged error: 0.0b

Counts
80 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.7b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×sub-neg add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
10.0ms
(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05031415

prune46.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh055
Picked011
Done011
Total43750

Merged error: 0.0b

Counts
50 → 7

regimes271.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

analyze280.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample427.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
23.0ms760×body80invalid

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