Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
13.0ms269×body80valid
1.0msbody640valid
0.0msbody320valid
0.0msbody1280valid
0.0msbody160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0518315

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: 0.8b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.6b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.6b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
14×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
*-un-lft-identity
add-cube-cbrt
sub-neg associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
flip3-- *-commutative flip--
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
2.0ms
(tanh (/ t 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)))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(tanh (/ t y))
26.0ms
(tanh (/ x y))
88.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify28.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
053531739

prune156.0ms

Filtered
75 candidates to 104 candidates (-38.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New995104
Fresh011
Picked011
Done000
Total997106

Merged error: 0.8b

Counts
106 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z)))
1.6b
(* y (* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
33×associate-*r/
22×associate-*l/ add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
18×frac-sub
12×tanh-def
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod
associate-*l* add-log-exp
flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z)))
18.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
22.0ms
(cbrt z)
93.0ms
(* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z)))
74.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053691574

prune132.0ms

Filtered
66 candidates to 105 candidates (-59.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh235
Picked101
Done011
Total1057112

Merged error: 0.8b

Counts
112 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.6b
(* y (* (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
23×pow1 add-exp-log
18×frac-sub
14×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×tanh-def
11×associate-*l/
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
distribute-rgt-in distribute-lft-in
sub-neg add-log-exp
flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
18.0ms
(* y (* (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt z)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
22.0ms
(cbrt z)
127.0ms
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
75.0ms
(* y (* (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt z)))

simplify31.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
060671857

prune330.0ms

Filtered
77 candidates to 109 candidates (-41.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh055
Picked011
Done011
Total1088116

Merged error: 0.8b

Counts
116 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.3b
(* y (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
32×distribute-rgt-in distribute-lft-in
18×pow1 add-exp-log frac-sub
12×sub-neg add-cbrt-cube tanh-def
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
add-log-exp
flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
15.0ms
(* y (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
24.0ms
(cbrt z)
125.0ms
(* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
126.0ms
(* y (* (cbrt z) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
061042322

prune119.0ms

Filtered
77 candidates to 122 candidates (-58.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done022
Total1228130

Merged error: 0.8b

Counts
130 → 8

regimes407.0ms

Accuracy

0% (0.5b remaining)

Error of 2.2b against oracle of 1.7b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

sample865.0ms

Algorithm
intervals
Results
427.0ms8380×body80valid
14.0ms70×body640valid
12.0ms46×body1280valid
8.0ms53×body320valid
3.0ms35×body160valid

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