Details

Time bar (total: 47.6s)

sample34.0ms

Algorithm
intervals
Results
12.0ms266×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.4b
(- (tanh (/ t y)) (tanh (/ x y)))
6.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
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*
distribute-rgt-in associate-+r+ distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
4.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
28.0ms
(tanh (/ x y))
77.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
73.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05921136
127281079
250011079

prune146.0ms

Filtered
73 candidates to 95 candidates (-30.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh000
Picked101
Done000
Total90696

Merged error: 1.5b

Counts
96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.4b
(- (tanh (/ t y)) (tanh (/ x y)))
1.2b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

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
add-cube-cbrt sub-neg
associate-*r* associate-*l* add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
2.0ms
(tanh (/ x y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(tanh (/ x y))
77.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
91.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
69.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05531404
124171324
250031324

prune166.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1143117
Fresh235
Picked011
Done000
Total1167123

Merged error: 0.8b

Counts
123 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
6.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite878.0ms

Algorithm
rewrite-expression-head
Rules
6655×associate-*r/
4785×cbrt-div
3915×frac-sub
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
13×pow1 add-exp-log
add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
cbrt-prod pow1/3 associate-*l*
associate-*r* *-commutative
Counts
4 → 1808
Calls
4 calls:
183.0ms
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
9.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
224.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
223.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
221.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify929.0ms

Algorithm
egg-herbie
Counts
1820 → 1820
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05001112008

prune42.3s

Filtered
1811 candidates to 1820 candidates (-0.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New181911820
Fresh145
Picked011
Done011
Total182071827

Merged error: 0.8b

Counts
1827 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
7.3b
(* (* y z) (tanh (/ t y)))
8.0b
(* (* y z) (neg (tanh (/ x y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
14×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×distribute-neg-frac
frac-add tanh-def
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
associate-*l* *-commutative
+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
4 → 83
Calls
4 calls:
2.0ms
(tanh (/ x y))
11.0ms
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
6.0ms
(* (* y z) (tanh (/ t y)))
8.0ms
(* (* y z) (neg (tanh (/ x y))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(tanh (/ x y))
66.0ms
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
29.0ms
(* (* y z) (tanh (/ t y)))
31.0ms
(* (* y z) (neg (tanh (/ x y))))

simplify104.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0613904
13175829
25001828

prune98.0ms

Filtered
72 candidates to 95 candidates (-31.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh044
Picked011
Done022
Total948102

Merged error: 0.6b

Counts
102 → 8

regimes334.0ms

Accuracy

0% (1.6b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample808.0ms

Algorithm
intervals
Results
430.0ms8321×body80valid
22.0ms99×body640valid
11.0ms39×body1280valid
9.0ms62×body320valid
3.0ms30×body160valid

Profiling

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