Details

Time bar (total: 2.4s)

analyze307.0ms

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
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample33.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03459
13459

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) y)
11.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify50.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04979345
14979345

prune61.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
0.0b
(* y (sqrt (- 1.0 x)))
0.1b
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div sqrt-prod
12×pow1
11×add-exp-log associate-*l* add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×associate-*r*
8×flip3-- flip--
6×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
13.0ms
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
7.0ms
(* y (sqrt (- 1.0 x)))
11.0ms
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
7.0ms
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
8.0ms
(* y (sqrt (- 1.0 x)))
5.0ms
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050601021

prune150.0ms

Filtered
67 candidates to 97 candidates (-44.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh123
Picked011
Done011
Total966102

Merged error: 0.0b

Counts
102 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(+ (/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* x z))
2.4b
(* y (- (* 1.0 1.0) (* x x)))
5.7b
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*r/ associate-*r* associate-/r*
3×sub-neg flip3-- associate-*l* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 73
Calls
4 calls:
4.0ms
(- (* 1.0 1.0) (* x x))
10.0ms
(+ (/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* x z))
8.0ms
(* y (- (* 1.0 1.0) (* x x)))
9.0ms
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series45.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* 1.0 1.0) (* x x))
18.0ms
(+ (/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* x z))
10.0ms
(* y (- (* 1.0 1.0) (* x x)))
14.0ms
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05015863

prune111.0ms

Filtered
62 candidates to 85 candidates (-37.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0.0b

Counts
91 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
3.0ms
(cbrt y)
1.0ms
(cbrt y)

series86.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt y) (cbrt y))
20.0ms
(cbrt y)
20.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune106.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done033
Total85691

Merged error: 0.0b

Counts
91 → 6

regimes267.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample877.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid

Profiling

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