Details

Time bar (total: 4.0s)

analyze312.0ms

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%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample52.0ms

Algorithm
intervals
Results
11.0ms180×body80valid
11.0ms31×body640valid
8.0ms12×body1280valid
6.0ms20×body320valid
2.0ms13×body160valid
1.0ms17×body80nan
0.0ms1×body80invalid

simplify192.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (190.0ms)

IterNodesCost
0537813

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: 7.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.3b
(log (- 1.0 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 85
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series38.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04957979
14957979

prune183.0ms

Filtered
69 candidates to 97 candidates (-40.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New88997
Fresh000
Picked101
Done000
Total89998

Merged error: 0.1b

Counts
98 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.0b
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.3b
(* x (log y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
15×pow1
13×add-cube-cbrt
12×log-prod associate-*r*
10×prod-exp cbrt-unprod
8×distribute-rgt-in distribute-lft-in
7×associate-*l*
6×associate-+l+ add-log-exp
5×pow-prod-down
3×associate-*r/ *-commutative
2×cbrt-undiv associate-+r+ flip3-+ div-exp log-pow flip-+ distribute-lft-out unswap-sqr
1×+-commutative associate-*l/ sum-log
Counts
4 → 91
Calls
4 calls:
8.0ms
(* (* y (/ y (* 1.0 1.0))) -1/2)
5.0ms
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
14.0ms
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
4.0ms
(* x (log y))

series47.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* y (/ y (* 1.0 1.0))) -1/2)
23.0ms
(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
14.0ms
(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms
(* x (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050051384

prune189.0ms

Filtered
69 candidates to 103 candidates (-49.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh178
Picked011
Done000
Total10210112

Merged error: 0.1b

Counts
112 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))
0.3b
(* x (log y))
8.6b
(* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
14.6b
(/ (* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (- (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
25×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×*-un-lft-identity
20×distribute-rgt-in distribute-lft-in
19×pow-prod-down
18×log-prod associate-*r/
16×add-cube-cbrt
12×associate--l+
11×prod-exp cbrt-unprod
9×flip3-- associate-*r* flip--
7×associate-*l*
6×sub-neg times-frac associate-/r*
4×frac-times pow-sqr pow-prod-up distribute-lft-out-- add-log-exp
3×log-pow *-commutative difference-of-squares
2×cbrt-undiv pow-plus div-exp associate-*l/ associate-/r/ associate-/l/ unswap-sqr
1×pow2 frac-2neg swap-sqr clear-num div-inv associate-/l*
Counts
4 → 137
Calls
4 calls:
22.0ms
(* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))
4.0ms
(* x (log y))
8.0ms
(* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
17.0ms
(/ (* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (- (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))
7.0ms
(* x (log y))
30.0ms
(* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
48.0ms
(/ (* z (- (* (log 1.0) (log 1.0)) (* (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (- (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049553482
149553482

prune379.0ms

Filtered
83 candidates to 149 candidates (-79.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh088
Picked011
Done011
Total14910159

Merged error: 0.1b

Counts
159 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log y))
7.2b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
10.2b
(log (+ (sqrt 1.0) (sqrt y)))
10.5b
(log (- (sqrt 1.0) (sqrt y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod
32×*-un-lft-identity
30×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+
8×add-exp-log log-div distribute-lft-out difference-of-squares
7×log-pow
6×add-cbrt-cube
5×associate-+l+
4×associate-*r* distribute-lft-out-- add-log-exp
3×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* flip-+
2×associate-+l- associate-+r- flip3-- rem-log-exp flip--
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
4.0ms
(* x (log y))
15.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (log y))
19.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms
(log (+ (sqrt 1.0) (sqrt y)))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049621311
149621311

prune196.0ms

Filtered
70 candidates to 106 candidates (-51.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1033106
Fresh167
Picked101
Done022
Total10511116

Merged error: 0.1b

Counts
116 → 11

regimes411.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06025
16025

end0.0ms

sample1.4s

Algorithm
intervals
Results
373.0ms5582×body80valid
305.0ms870×body640valid
282.0ms422×body1280valid
154.0ms696×body320valid
60.0ms430×body160valid
18.0ms263×body80nan
2.0ms24×body80invalid

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