Details

Time bar (total: 4.6s)

analyze343.0ms

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

sample48.0ms

Algorithm
intervals
Results
13.0ms187×body80valid
9.0ms22×body640valid
5.0ms22×body320valid
5.0ms7×body1280valid
3.0ms18×body160valid
0.0ms6×body80nan
0.0ms4×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02717
12717

prune10.0ms

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: 7.9b

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))
6.5b
(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)
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series56.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
36.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049671320
149671320

prune205.0ms

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: 0.1b

Counts
106 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:
11.0ms
(+ (* (- x 1.0) (log y)) (* (- 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)
12.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
7.0ms
(* (- x 1.0) (log y))

series106.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0)))))))
52.0ms
(- (+ (* (- 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
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
10.0ms
(* (- x 1.0) (log y))

simplify51.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
057194178

prune428.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1315136
Fresh167
Picked101
Done000
Total13311144

Merged error: 0.1b

Counts
144 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z)))
0.0b
(+ (* (- x 1.0) (log y)) (- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z))))
0.1b
(* (- x 1.0) (log y))
5.5b
(* (* y y) (- 0.5 (* z 0.5)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×pow1 log-prod
11×add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
9×distribute-rgt-in distribute-lft-in
8×sub-neg associate-*r*
7×flip3-- flip--
6×associate-+l+ associate-*l* associate-*l/
4×pow-prod-down frac-add prod-exp associate--l+ cbrt-unprod
3×associate-+r+
2×diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+r- distribute-rgt-out-- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 92
Calls
4 calls:
7.0ms
(- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z)))
13.0ms
(+ (* (- x 1.0) (log y)) (- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z))))
6.0ms
(* (- x 1.0) (log y))
7.0ms
(* (* y y) (- 0.5 (* z 0.5)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z)))
24.0ms
(+ (* (- x 1.0) (log y)) (- (* (* y y) (- 0.5 (* z 0.5))) (* 1.0 (* y z))))
9.0ms
(* (- x 1.0) (log y))
7.0ms
(* (* y y) (- 0.5 (* z 0.5)))

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050991755

prune196.0ms

Filtered
79 candidates to 104 candidates (-31.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh3710
Picked011
Done000
Total10411115

Merged error: 0.1b

Counts
115 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.2b
(cbrt (- z 1.0))
0.2b
(cbrt (- z 1.0))
0.2b
(cbrt (- z 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
3.0ms
(cbrt (- z 1.0))
3.0ms
(cbrt (- z 1.0))
3.0ms
(cbrt (- z 1.0))

series33.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
7.0ms
(cbrt (- z 1.0))
7.0ms
(cbrt (- z 1.0))
9.0ms
(cbrt (- z 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049521258
149521258

prune317.0ms

Filtered
86 candidates to 113 candidates (-31.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh099
Picked011
Done011
Total11311124

Merged error: 0.1b

Counts
124 → 11

regimes649.0ms

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
02424
12424

end0.0ms

analyze356.0ms

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

sample1.4s

Algorithm
intervals
Results
412.0ms5825×body80valid
308.0ms832×body640valid
186.0ms268×body1280valid
162.0ms675×body320valid
58.0ms400×body160valid
22.0ms275×body80nan
2.0ms33×body80invalid

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