Details

Time bar (total: 50.8s)

analyze800.0ms

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

sample26.0ms

Algorithm
intervals
Results
12.0ms249×body80valid
1.0ms17×body80invalid
1.0ms2×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0490715
1490715

prune16.0ms

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: 0.4b

Counts
2 → 2

localize11.0ms

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))))
2.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite32.0ms

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
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
5×distribute-rgt-in distribute-lft-in
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 → 98
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
25.0ms
(tanh (/ x y))
84.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
64.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050842243

prune182.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1028110
Fresh011
Picked011
Done000
Total10210112

Merged error: 0.4b

Counts
112 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.6b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.6b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b
(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
4785×cbrt-div
3915×frac-sub
3597×associate-*r/
3025×frac-times
2610×tanh-def-c tanh-def-b tanh-def-a
435×flip3-- flip--
275×associate-*l/
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 1823
Calls
4 calls:
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
256.0ms
(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

series706.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
140.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
367.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
62.0ms
(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify719.0ms

Algorithm
egg-herbie
Counts
1835 → 1835
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05543183650

prune44.3s

Filtered
1825 candidates to 1835 candidates (-0.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New183411835
Fresh088
Picked011
Done011
Total1834111845

Merged error: 0.4b

Counts
1845 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
22×associate-*r/
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
11×associate-*l/
9×cbrt-prod frac-sub
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×tanh-def-c tanh-def-b tanh-def-a
4×add-log-exp
3×pow1/3
1×flip3-- associate-*r* associate-*l* *-commutative flip--
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)
68.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

simplify33.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05040970

prune113.0ms

Filtered
53 candidates to 84 candidates (-58.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh088
Picked011
Done022
Total841195

Merged error: 0.4b

Counts
95 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

2.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def-c tanh-def-b tanh-def-a
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 93
Calls
4 calls:
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
145.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
144.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
146.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050223104

prune176.0ms

Filtered
90 candidates to 105 candidates (-16.7%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1041105
Fresh257
Picked011
Done033
Total10610116

Merged error: 0.4b

Counts
116 → 10

regimes453.0ms

Accuracy

0% (0.6b remaining)

Error of 1.9b against oracle of 1.4b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

analyze805.0ms

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

sample665.0ms

Algorithm
intervals
Results
389.0ms7783×body80valid
25.0ms511×body80invalid
16.0ms88×body640valid
10.0ms42×body1280valid
8.0ms55×body320valid
3.0ms32×body160valid

Profiling

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