Details

Time bar (total: 2.4s)

analyze394.0ms

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

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
034613
134613

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))

rewrite28.0ms

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:
13.0ms
(* (- 1.0 x) y)
13.0ms
(+ (* (- 1.0 x) y) (* x z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 x) y)
9.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify84.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04980511
14980511

prune80.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0b

Counts
40 → 7

localize18.0ms

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)

rewrite11.0ms

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)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series100.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt y) (cbrt y))
23.0ms
(cbrt y)
23.0ms
(cbrt y)
28.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05166558

prune102.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0b

Counts
92 → 7

localize21.0ms

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))
4.3b
(* y (- (* 1.0 1.0) (* x x)))
7.3b
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite44.0ms

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))
13.0ms
(+ (/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* x z))
7.0ms
(* y (- (* 1.0 1.0) (* x x)))
18.0ms
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series50.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* 1.0 1.0) (* x x))
19.0ms
(+ (/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* x z))
10.0ms
(* y (- (* 1.0 1.0) (* x x)))
16.0ms
(/ (* y (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify70.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050161274

prune114.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(+ (/ y (/ 1 (- 1.0 x))) (* x z))
0.1b
(/ y (/ 1 (- 1.0 x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 156
Calls
3 calls:
7.0ms
(/ 1 (- 1.0 x))
24.0ms
(+ (/ y (/ 1 (- 1.0 x))) (* x z))
9.0ms
(/ y (/ 1 (- 1.0 x)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1 (- 1.0 x))
8.0ms
(+ (/ y (/ 1 (- 1.0 x))) (* x z))
10.0ms
(/ y (/ 1 (- 1.0 x)))

simplify108.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
050412842

prune214.0ms

Filtered
96 candidates to 165 candidates (-71.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh033
Picked011
Done033
Total1657172

Merged error: 0b

Counts
172 → 7

regimes261.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms

sample505.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid
29.0ms722×body80invalid

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