Details

Time bar (total: 7.8s)

analyze902.0ms

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
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14

sample31.0ms

Algorithm
intervals
Results
12.0ms246×body80valid
1.0ms6×body640valid
1.0ms15×body80invalid
1.0ms2×body1280valid
0.0ms2×body320valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
5.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
6×add-log-exp
5×add-cube-cbrt associate-*r*
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
2.0ms
(tanh (/ x y))
2.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(tanh (/ x y))
29.0ms
(tanh (/ t y))
79.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
72.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify211.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05121026
12380971
25001971

prune188.0ms

Filtered
71 candidates to 90 candidates (-26.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New83790
Fresh000
Picked101
Done000
Total84791

Merged error: 1.5b

Counts
91 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
2.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
16.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(tanh (/ t y))
98.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
95.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
75.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05391404
123441324
250011324

prune224.0ms

Filtered
86 candidates to 117 candidates (-36.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1125117
Fresh246
Picked011
Done000
Total11410124

Merged error: 0.3b

Counts
124 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))))
2.1b
(* z (neg (tanh (/ x y))))
3.3b
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))
3.7b
(* z (tanh (/ t y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
53×associate-*r/
21×distribute-neg-frac
18×add-sqr-sqrt frac-add
17×associate-*r*
14×tanh-def
12×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
2×flip3-+ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in neg-mul-1 distribute-lft-in unsub-neg sum-log
Counts
4 → 105
Calls
4 calls:
8.0ms
(+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))))
7.0ms
(* z (neg (tanh (/ x y))))
15.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))
6.0ms
(* z (tanh (/ t y)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))))
35.0ms
(* z (neg (tanh (/ x y))))
79.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))
37.0ms
(* z (tanh (/ t y)))

simplify106.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06801241
134721157
250011151

prune167.0ms

Filtered
91 candidates to 117 candidates (-28.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1161117
Fresh268
Picked101
Done101
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.2b
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.2b
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.2b
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
12.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
10.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
296.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
158.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
174.0ms
(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05591964
123791868
250031856

prune336.0ms

Filtered
91 candidates to 107 candidates (-17.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done000
Total1077114

Merged error: 0.0b

Counts
114 → 7

regimes593.0ms

Accuracy

40.2% (2.5b remaining)

Error of 3.1b against oracle of 0.5b and baseline of 4.8b

bsearch1.4s

Steps
ItersRangePoint
7
9.631388438399082e+120
6.108322928653307e+122
1.96443839642579e+122
7
-3.6459588674495394e+87
-2.4681259277597572e+85
-1.5871589604482546e+86

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04336
14536
25136
35136

end0.0ms

analyze1.0s

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
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14

sample733.0ms

Algorithm
intervals
Results
413.0ms7752×body80valid
31.0ms592×body80invalid
20.0ms99×body640valid
12.0ms40×body1280valid
10.0ms67×body320valid
4.0ms42×body160valid
0.0ms1×body640invalid

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