Details

Time bar (total: 8.5s)

analyze826.0ms

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

sample28.0ms

Algorithm
intervals
Results
12.0ms243×body80valid
2.0msbody640valid
1.0ms22×body80invalid
1.0msbody1280valid
0.0msbody320valid
0.0msbody160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0505915

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.6b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def-c tanh-def-b tanh-def-a
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sub-neg
associate-*r* associate-*l* add-log-exp
distribute-rgt-in distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
diff-log unswap-sqr
Counts
4 → 98
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms
(tanh (/ x y))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
69.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
049872251
149872251

prune165.0ms

Filtered
85 candidates to 110 candidates (-29.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1073110
Fresh011
Picked011
Done000
Total1075112

Merged error: 1.0b

Counts
112 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def-c tanh-def-b tanh-def-a
11×associate-*r/
pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
add-log-exp
add-cube-cbrt associate-*r*
sub-neg pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- distribute-lft-out-- difference-of-squares
distribute-rgt-in distribute-lft-in diff-log associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
2.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ t y))
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms
(tanh (/ x y))
67.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify29.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050281690

prune129.0ms

Filtered
69 candidates to 87 candidates (-26.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85287
Fresh123
Picked011
Done011
Total86692

Merged error: 1.0b

Counts
92 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.1b
(pow (- (tanh (/ t y)) (tanh (/ x y))) 3)
5.3b
(* (* y z) (cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3)))
10.7b
(cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×cube-div
32×cbrt-prod
27×frac-sub
26×add-sqr-sqrt *-un-lft-identity
22×cbrt-div
19×tanh-def-c associate-*r* tanh-def-b tanh-def-a
15×unpow-prod-down cube-prod
14×add-cube-cbrt
11×associate-*r/
10×pow1 add-exp-log
add-cbrt-cube
distribute-lft-out-- difference-of-squares
add-log-exp
cube-mult pow-unpow flip3-- unpow3 pow-prod-down prod-exp flip-- cbrt-unprod sqr-pow
pow-to-exp pow-pow pow1/3 associate-*l* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 129
Calls
4 calls:
2.0ms
(tanh (/ x y))
8.0ms
(pow (- (tanh (/ t y)) (tanh (/ x y))) 3)
17.0ms
(* (* y z) (cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3)))
8.0ms
(cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3))

series299.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(tanh (/ x y))
134.0ms
(pow (- (tanh (/ t y)) (tanh (/ x y))) 3)
64.0ms
(* (* y z) (cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3)))
75.0ms
(cbrt (pow (- (tanh (/ t y)) (tanh (/ x y))) 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051402959

prune197.0ms

Filtered
94 candidates to 141 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh033
Picked011
Done022
Total1416147

Merged error: 1.0b

Counts
147 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (tanh (/ x y)) (tanh (/ x y)))
1.7b
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
3.5b
(* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))))
4.4b
(/ (* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (tanh (/ t y)) (tanh (/ x y))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
1408×associate-*r/
819×frac-times
734×tanh-def-c tanh-def-b tanh-def-a
675×frac-sub
273×associate-*l/
227×associate-/l/
22×add-exp-log add-cbrt-cube
18×pow1
17×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
11×associate-/r/
associate-*l* frac-add
associate-*r* prod-exp cbrt-unprod
sub-neg
distribute-rgt-in distribute-lft-in pow-prod-down
times-frac associate-/r* add-log-exp
cbrt-undiv flip3-- swap-sqr div-exp *-commutative flip--
distribute-lft-out unswap-sqr
pow2 frac-2neg flip3-+ pow-plus clear-num pow-sqr pow-prod-up flip-+ div-inv associate-/l* difference-of-squares
Counts
4 → 800
Calls
4 calls:
7.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
45.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
56.0ms
(* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))))
72.0ms
(/ (* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (tanh (/ t y)) (tanh (/ x y))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
196.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
104.0ms
(* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))))
403.0ms
(/ (* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (tanh (/ t y)) (tanh (/ x y))))

simplify228.0ms

Algorithm
egg-herbie
Counts
812 → 812
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0527642858

prune3.9s

Filtered
607 candidates to 812 candidates (-33.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New8111812
Fresh202
Picked101
Done123
Total8153818

Merged error: 0b

Counts
818 → 3

regimes264.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02515
12515

end0.0ms

sample679.0ms

Algorithm
intervals
Results
383.0ms7754×body80valid
25.0ms516×body80invalid
21.0ms99×body640valid
11.0ms47×body1280valid
8.0ms60×body320valid
4.0ms40×body160valid

Profiling

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