Details

Time bar (total: 4.3s)

analyze798.0ms (18.4%)

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 (0.7%)

Algorithm
intervals
Results
17.0ms248×body80valid
1.0ms22×body80invalid
1.0msbody640valid
0.0msbody1280valid
0.0msbody320valid

simplify32.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0505915

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
4.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×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 sub-neg associate-*r*
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in associate-+r+ flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 78
Calls

4 calls:

11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ t y))

series273.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
67.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
26.0ms
(tanh (/ t y))

simplify33.0ms (0.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
053941872

prune152.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85590
Fresh000
Picked011
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
18×tanh-def-c tanh-def-b tanh-def-a
13×add-sqr-sqrt
11×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
distribute-rgt-in distribute-lft-in
add-log-exp
add-cube-cbrt
associate-*r* associate-*l*
associate-+r+ pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 103
Calls

4 calls:

11.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series331.0ms (7.6%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
86.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
66.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify47.0ms (1.1%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050132453

prune185.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1132115
Fresh044
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y))
1.6b
(* (* (cbrt y) (cbrt y)) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y)))

rewrite35.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
30×pow1 add-exp-log
22×associate-*l/
18×pow-prod-down prod-exp frac-sub add-cbrt-cube cbrt-unprod
12×tanh-def-c tanh-def-b tanh-def-a
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
add-log-exp
flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 93
Calls

4 calls:

18.0ms
(* (* (cbrt y) (cbrt y)) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y)))
12.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series234.0ms (5.4%)

Counts
4 → 12
Calls

4 calls:

118.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y))
72.0ms
(* (* (cbrt y) (cbrt y)) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt y)))
22.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify42.0ms (1%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049661686
149661686

prune157.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh055
Picked011
Done022
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite48.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def-c tanh-def-b tanh-def-a
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 93
Calls

4 calls:

11.0ms
(* 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))))))

series508.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

149.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
148.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
146.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
64.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify47.0ms (1.1%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051293137

prune192.0ms (4.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1041105
Fresh044
Picked011
Done033
Total1049113

Merged error: 0b

Counts
113 → 9

regimes402.0ms (9.3%)

Accuracy

Total 1.2b remaining (60.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02515
12515

end0.0ms (0%)

sample667.0ms (15.4%)

Algorithm
intervals
Results
372.0ms7729×body80valid
26.0ms511×body80invalid
17.0ms94×body640valid
16.0ms64×body1280valid
12.0ms72×body320valid
6.0ms41×body160valid

Profiling

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