Details

Time bar (total: 9.3s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
13.1%74.3%12.7%12
16.1%70.5%13.5%13
18.6%68%13.5%14

sample159.0ms

Algorithm
intervals
Results
30.0ms52×body1280valid
18.0ms52×body640valid
12.0ms31×body320valid
8.0ms109×body80valid
4.0ms2×body2560valid
3.0ms12×body640nan
2.0ms54×body80nan
2.0ms12×body320nan
2.0ms5×body1280nan
2.0ms29×body80overflowed
1.0ms10×body160valid
1.0ms7×body160nan

simplify262.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1337
2497
3717
4937
51807
62327
74117
86287
99357
1010287
1113547
1239687
1350027

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.7b
(log (+ (- 1.0 y) (* y (exp z))))
2.4b
(+ (- 1.0 y) (* y (exp z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow1 add-log-exp
6×add-exp-log
5×log-pow add-cbrt-cube
4×log-div associate-/l*
3×log-prod flip3-+ associate-/r* flip-+
2×associate-+l+ div-sub sum-log
1×cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num div-inv
Counts
3 → 62
Calls
3 calls:
8.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms
(log (+ (- 1.0 y) (* y (exp z))))
6.0ms
(+ (- 1.0 y) (* y (exp z)))

series73.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
15.0ms
(log (+ (- 1.0 y) (* y (exp z))))
9.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0403724
11433668
25001661

prune188.0ms

Filtered
54 candidates to 71 candidates (-31.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65671
Fresh000
Picked101
Done000
Total66672

Merged error: 3.8b

Counts
72 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (* z y) t)
4.4b
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.5b
(/ (* (pow z 2) y) t)
9.9b
(* (pow z 2) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×add-log-exp
8×associate-*l*
7×prod-exp
6×times-frac div-exp associate-/r*
4×pow1 cbrt-undiv unpow-prod-down associate-*r/ frac-add unswap-sqr
3×associate-*r* sum-log cbrt-unprod
2×pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv associate-/l* unpow2 sqr-pow
1×+-commutative associate-+r+ *-commutative
Counts
4 → 87
Calls
4 calls:
9.0ms
(/ (* z y) t)
17.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms
(/ (* (pow z 2) y) t)
6.0ms
(* (pow z 2) y)

series44.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (* z y) t)
22.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms
(/ (* (pow z 2) y) t)
6.0ms
(* (pow z 2) y)

simplify97.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0492659
12299586
25001586

prune248.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New93699
Fresh055
Picked101
Done000
Total9411105

Merged error: 3.1b

Counts
105 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ t (* z y))
4.4b
(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.5b
(/ (* (pow z 2) y) t)
9.9b
(* (pow z 2) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×add-log-exp
8×associate-*l* frac-add
7×prod-exp
6×times-frac div-exp
5×associate-*r/
4×pow1 cbrt-undiv unpow-prod-down associate-/r* associate-/l* unswap-sqr
3×flip3-+ associate-*r* sum-log un-div-inv cbrt-unprod flip-+
2×pow-to-exp frac-2neg pow-exp clear-num div-inv unpow2 sqr-pow
1×+-commutative associate-+r+ *-commutative
Counts
4 → 90
Calls
4 calls:
4.0ms
(/ t (* z y))
14.0ms
(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.0ms
(/ (* (pow z 2) y) t)
7.0ms
(* (pow z 2) y)

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ t (* z y))
24.0ms
(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms
(/ (* (pow z 2) y) t)
4.0ms
(* (pow z 2) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0536799
12526716
25001713

prune222.0ms

Filtered
67 candidates to 102 candidates (-52.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh2810
Picked101
Done000
Total10211113

Merged error: 3.1b

Counts
113 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

4.4b
(+ (* 1.0 (/ 1 (/ (/ t z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.5b
(/ (* (pow z 2) y) t)
6.2b
(/ (/ t z) y)
9.9b
(* (pow z 2) y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
24×add-exp-log
16×add-cbrt-cube
14×associate-/l*
9×add-log-exp
8×associate-*l* frac-add
7×div-exp
6×prod-exp associate-/r* div-inv
5×cbrt-undiv associate-*r/
4×pow1 unpow-prod-down unswap-sqr
3×flip3-+ associate-*r* sum-log un-div-inv flip-+
2×pow-to-exp frac-2neg pow-exp clear-num cbrt-unprod unpow2 sqr-pow
1×+-commutative associate-+r+ *-commutative associate-/l/
Counts
4 → 139
Calls
4 calls:
30.0ms
(+ (* 1.0 (/ 1 (/ (/ t z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms
(/ (* (pow z 2) y) t)
7.0ms
(/ (/ t z) y)
6.0ms
(* (pow z 2) y)

series46.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* 1.0 (/ 1 (/ (/ t z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
7.0ms
(/ (* (pow z 2) y) t)
5.0ms
(/ (/ t z) y)
5.0ms
(* (pow z 2) y)

simplify126.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07581157
136301072
250011069

prune359.0ms

Filtered
112 candidates to 151 candidates (-34.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1501151
Fresh01010
Picked101
Done000
Total15111162

Merged error: 3.1b

Counts
162 → 11

regimes915.0ms

Accuracy

71% (4.9b remaining)

Error of 8.9b against oracle of 4.0b and baseline of 21.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04731
14731

end0.0ms

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
13.1%74.3%12.7%12
16.1%70.5%13.5%13
18.6%68%13.5%14

sample3.2s

Algorithm
intervals
Results
1.0s1419×body1280valid
663.0ms1601×body640valid
304.0ms3510×body80valid
255.0ms918×body320valid
132.0ms78×body2560valid
86.0ms1428×body80nan
81.0ms271×body640nan
78.0ms474×body160valid
57.0ms820×body80overflowed
56.0ms123×body1280nan
46.0ms218×body320nan
13.0ms104×body160nan
1.0ms17×body80invalid
0.0ms1×body1280invalid
0.0ms1×body640invalid

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