Details

Time bar (total: 4.2s)

analyze318.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14

sample49.0ms

Algorithm
intervals
Results
13.0ms187×body80valid
9.0ms25×body640valid
6.0ms7×body1280valid
5.0ms21×body320valid
2.0ms16×body160valid
1.0ms8×body80nan
0.0ms2×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02717
12717

prune8.0ms

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: 5.7b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
6.1b
(log (- 1.0 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 93
Calls
4 calls:
8.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series57.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
38.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049671320
149671320

prune200.0ms

Filtered
77 candidates to 105 candidates (-36.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New978105
Fresh000
Picked101
Done000
Total988106

Merged error: 0.0b

Counts
106 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0)))))))
0.1b
(* (- x 1.0) (log y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×add-cube-cbrt frac-add
14×distribute-rgt-in distribute-lft-in
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-*r* associate-*l*
8×add-exp-log associate-+r+ add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 124
Calls
4 calls:
12.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
12.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0)))))))
7.0ms
(* (- x 1.0) (log y))

series105.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
51.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
33.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0)))))))
9.0ms
(* (- x 1.0) (log y))

simplify48.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
057194178

prune393.0ms

Filtered
110 candidates to 136 candidates (-23.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh167
Picked101
Done000
Total1368144

Merged error: 0.0b

Counts
144 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(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:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series93.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
25.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune148.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log y))
10.5b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
13.3b
(log (- (sqrt 1.0) (sqrt y)))
13.4b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod *-un-lft-identity
32×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div distribute-lft-out
7×log-pow
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×associate-*r* add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
8.0ms
(* (- x 1.0) (log y))
13.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (- (sqrt 1.0) (sqrt y)))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- x 1.0) (log y))
18.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms
(log (- (sqrt 1.0) (sqrt y)))
7.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049571442
149571442

prune211.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh066
Picked011
Done011
Total1099118

Merged error: 0.0b

Counts
118 → 9

regimes549.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03339
13339

end0.0ms

analyze315.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14

sample1.3s

Algorithm
intervals
Results
396.0ms5834×body80valid
276.0ms750×body640valid
176.0ms258×body1280valid
161.0ms707×body320valid
66.0ms451×body160valid
18.0ms256×body80nan
2.0ms24×body80invalid

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