Details

Time bar (total: 44.4s)

analyze835.0ms

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

sample30.0ms

Algorithm
intervals
Results
15.0ms248×body80valid
1.0msbody1280valid
1.0ms12×body80invalid
1.0msbody640valid
0.0msbody320valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0505915

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: 1.9b

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))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite33.0ms

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
add-cube-cbrt sub-neg
associate-*r* associate-*l* add-log-exp
distribute-rgt-in distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
diff-log unswap-sqr
Counts
4 → 98
Calls
4 calls:
7.0ms
(- (tanh (/ t y)) (tanh (/ x 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)))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms
(tanh (/ x y))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
69.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
049872251
149872251

prune174.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1064110
Fresh011
Picked101
Done000
Total1075112

Merged error: 1.8b

Counts
112 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite840.0ms

Algorithm
rewrite-expression-head
Rules
4785×cbrt-div
3915×frac-sub
3586×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
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*r* *-commutative
Counts
4 → 1823
Calls
4 calls:
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
189.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
145.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
146.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify742.0ms

Algorithm
egg-herbie
Counts
1835 → 1835
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
06234183573

prune38.8s

Filtered
1821 candidates to 1835 candidates (-0.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New183231835
Fresh134
Picked011
Done000
Total183371840

Merged error: 1.8b

Counts
1840 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(* z (neg (tanh (/ x y))))
2.3b
(* z (tanh (/ t y)))
4.2b
(* y (* z (neg (tanh (/ x y)))))
7.0b
(* y (* z (tanh (/ t y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log associate-*r/ add-cbrt-cube
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l*
pow-prod-down prod-exp cbrt-unprod
distribute-neg-frac
tanh-def-c *-commutative tanh-def-b add-log-exp tanh-def-a
distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
unswap-sqr
neg-mul-1
Counts
4 → 93
Calls
4 calls:
6.0ms
(* z (neg (tanh (/ x y))))
5.0ms
(* z (tanh (/ t y)))
7.0ms
(* y (* z (neg (tanh (/ x y)))))
6.0ms
(* y (* z (tanh (/ t y))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (neg (tanh (/ x y))))
33.0ms
(* z (tanh (/ t y)))
30.0ms
(* y (* z (neg (tanh (/ x y)))))
30.0ms
(* y (* z (tanh (/ t y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05058858

prune116.0ms

Filtered
75 candidates to 105 candidates (-40.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh415
Picked011
Done101
Total1075112

Merged error: 0.2b

Counts
112 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

7.1b
(+ (* (* (cbrt (* y (* z (tanh (/ t y))))) (cbrt (* y (* z (tanh (/ t y)))))) (cbrt (* y (* z (tanh (/ t y)))))) (* y (* z (neg (tanh (/ x y))))))
14.1b
(cbrt (* y (* z (tanh (/ t y)))))
14.1b
(cbrt (* y (* z (tanh (/ t y)))))
14.1b
(cbrt (* y (* z (tanh (/ t y)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1305×associate-*r/
441×cbrt-div
243×frac-times
210×tanh-def-c tanh-def-b tanh-def-a
189×frac-add distribute-neg-frac
81×associate-*l/
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
cbrt-prod pow1/3
distribute-rgt-neg-out
+-commutative flip3-+ unsub-neg sum-log flip-+
Counts
4 → 237
Calls
4 calls:
31.0ms
(+ (* (* (cbrt (* y (* z (tanh (/ t y))))) (cbrt (* y (* z (tanh (/ t y)))))) (cbrt (* y (* z (tanh (/ t y)))))) (* y (* z (neg (tanh (/ x y))))))
5.0ms
(cbrt (* y (* z (tanh (/ t y)))))
6.0ms
(cbrt (* y (* z (tanh (/ t y)))))
5.0ms
(cbrt (* y (* z (tanh (/ t y)))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (* (* (cbrt (* y (* z (tanh (/ t y))))) (cbrt (* y (* z (tanh (/ t y)))))) (cbrt (* y (* z (tanh (/ t y)))))) (* y (* z (neg (tanh (/ x y))))))
66.0ms
(cbrt (* y (* z (tanh (/ t y)))))
66.0ms
(cbrt (* y (* z (tanh (/ t y)))))
65.0ms
(cbrt (* y (* z (tanh (/ t y)))))

simplify142.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0500823078

prune348.0ms

Filtered
111 candidates to 249 candidates (-124.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2481249
Fresh033
Picked011
Done011
Total2486254

Merged error: 0.2b

Counts
254 → 6

regimes277.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06119
16119

end0.0ms

sample659.0ms

Algorithm
intervals
Results
368.0ms7750×body80valid
27.0ms578×body80invalid
16.0ms87×body640valid
12.0ms48×body1280valid
11.0ms84×body320valid
3.0ms31×body160valid

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