Details

Time bar (total: 5.3s)

analyze777.0ms

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

sample29.0ms

Algorithm
intervals
Results
16.0ms246×body80valid
1.0ms12×body80invalid
1.0ms1×body1280valid
1.0ms4×body320valid
0.0ms2×body640valid
0.0ms3×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0490715
1490715

prune12.0ms

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: 2.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ x y))
1.2b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
13×tanh-def-c tanh-def-b tanh-def-a
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
9×distribute-rgt-in *-un-lft-identity distribute-lft-in
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 91
Calls
4 calls:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms
(tanh (/ x y))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series293.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x 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)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
058061843

prune153.0ms

Filtered
79 candidates to 103 candidates (-30.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New976103
Fresh011
Picked011
Done000
Total978105

Merged error: 0.8b

Counts
105 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
1.2b
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
1.4b
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/ associate-*l/
32×pow1 add-exp-log
27×frac-sub
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def-c tanh-def-b tanh-def-a
15×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt associate-*l*
8×associate-*r*
7×cbrt-prod
4×add-log-exp
3×flip3-- *-commutative flip--
2×unswap-sqr
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt y)
12.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
17.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
11.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
121.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
72.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
119.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

simplify49.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
057412387

prune176.0ms

Filtered
91 candidates to 126 candidates (-38.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh156
Picked011
Done011
Total1259134

Merged error: 0.3b

Counts
134 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

2.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.8b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.8b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.8b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite47.0ms

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:
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))))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
151.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
152.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
153.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050223104

prune191.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done022
Total1059114

Merged error: 0.3b

Counts
114 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z)))
2.2b
(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*l/
18×pow1 add-exp-log frac-sub
13×add-cbrt-cube
12×tanh-def-c tanh-def-b tanh-def-a
11×add-sqr-sqrt *-un-lft-identity associate-*r/ associate-*l*
9×cbrt-prod add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z)))
11.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z))

series389.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
166.0ms
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z)))
181.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt y) z))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053931770

prune115.0ms

Filtered
74 candidates to 100 candidates (-35.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New991100
Fresh145
Picked011
Done033
Total1009109

Merged error: 0.3b

Counts
109 → 9

regimes408.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

analyze767.0ms

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

sample657.0ms

Algorithm
intervals
Results
371.0ms7763×body80valid
28.0ms541×body80invalid
19.0ms103×body640valid
9.0ms36×body1280valid
8.0ms63×body320valid
3.0ms35×body160valid

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