Details

Time bar (total: 42.4s)

analyze795.0ms

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

sample27.0ms

Algorithm
intervals
Results
12.0ms245×body80valid
1.0ms5×body640valid
1.0ms2×body1280valid
1.0ms12×body80invalid
0.0ms3×body320valid
0.0ms1×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0499415
1499415

prune15.0ms

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: 1.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ t y))
0.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite31.0ms

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 (/ t y))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
26.0ms
(tanh (/ t y))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050911847

prune176.0ms

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: 0.5b

Counts
105 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
1.1b
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
1.6b
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
22×associate-*r/ associate-*l/
18×frac-sub add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
15×add-sqr-sqrt
12×tanh-def-c tanh-def-b tanh-def-a
11×*-un-lft-identity
10×cbrt-prod
9×add-cube-cbrt
7×associate-*r*
6×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
19.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(cbrt y)
116.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
72.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049701720
149701720

prune169.0ms

Filtered
76 candidates to 108 candidates (-42.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh246
Picked011
Done011
Total1088116

Merged error: 0.3b

Counts
116 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite790.0ms

Algorithm
rewrite-expression-head
Rules
5181×associate-*r/
4785×cbrt-div
3915×frac-sub
3025×frac-times
2610×tanh-def-c tanh-def-b tanh-def-a
435×flip3-- flip--
275×associate-*l/
60×pow1 add-exp-log
44×pow-prod-down prod-exp cbrt-unprod
32×add-cbrt-cube
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
4×add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 1845
Calls
4 calls:
296.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (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))))
9.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))
146.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
145.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
143.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify805.0ms

Algorithm
egg-herbie
Counts
1857 → 1857
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05587197365

prune36.3s

Filtered
1840 candidates to 1857 candidates (-0.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New185611857
Fresh055
Picked011
Done022
Total185691865

Merged error: 0.2b

Counts
1865 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

2.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-div
36×frac-sub
24×tanh-def-c tanh-def-b tanh-def-a
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 96
Calls
4 calls:
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
9.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
142.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
146.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
144.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify63.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050263536

prune253.0ms

Filtered
100 candidates to 108 candidates (-8.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh055
Picked011
Done123
Total1089117

Merged error: 0.2b

Counts
117 → 9

regimes439.0ms

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.4b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06215
16215

end0.0ms

sample703.0ms

Algorithm
intervals
Results
391.0ms7764×body80valid
28.0ms564×body80invalid
18.0ms99×body640valid
12.0ms38×body1280valid
10.0ms68×body320valid
3.0ms31×body160valid

Profiling

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