Details

Time bar (total: 2.5min)

analyze792.0ms

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

sample50.0ms

Algorithm
intervals
Results
11.0ms248×body80valid
1.0ms6×body640valid
1.0ms2×body1280valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0505915

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: 1.2b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

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:
2.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(tanh (/ t y))
71.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
83.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
61.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
049922251
149922251

prune168.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh011
Picked011
Done000
Total1066112

Merged error: 1.2b

Counts
112 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
2.3b
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

rewrite36.0ms

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)
11.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
18.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
114.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
69.0ms
(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049891739
149891739

prune155.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh134
Picked101
Done011
Total1068114

Merged error: 0.6b

Counts
114 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b
(* (* (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))))))))

rewrite984.0ms

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:
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))))
281.0ms
(* (* (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))))))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
138.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
139.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms
(* (* (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))))))))

simplify799.0ms

Algorithm
egg-herbie
Counts
1857 → 1857
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05587197365

prune38.3s

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New185611857
Fresh066
Picked101
Done011
Total185781865

Merged error: 0.6b

Counts
1865 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b
(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* (* (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))))

rewrite1.8min

Algorithm
rewrite-expression-head
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))))
35.1s
(* (* (cbrt y) (cbrt y)) (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* (* (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))))

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