Details

Time bar (total: 6.6s)

analyze813.0ms

Algorithm
search

sample30.0ms

Algorithm
intervals
Results
17.0ms250×body80valid
1.0ms14×body80invalid
0.0msbody640valid
0.0msbody320valid
0.0msbody1280valid
0.0msbody160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
add-log-exp
add-cube-cbrt sub-neg associate-*r*
distribute-rgt-in associate-+r+ distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
111.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
26.0ms
(tanh (/ x y))
67.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05921136
127281079
250011079

prune158.0ms

Filtered
73 candidates to 95 candidates (-30.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New87895
Fresh000
Picked101
Done000
Total88896

Merged error: 1.2b

Counts
96 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ x y))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
*-un-lft-identity
associate-+r+
add-cube-cbrt
associate-*r* associate-*l* add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
4.0ms
(+ x (* y (* z (- (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)))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
26.0ms
(tanh (/ x y))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
66.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05381169
124071098
250021098

prune144.0ms

Filtered
79 candidates to 113 candidates (-43.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh257
Picked011
Done000
Total1147121

Merged error: 0.4b

Counts
121 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
4.0b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div
243×frac-sub
162×tanh-def
154×associate-*r/
121×frac-times
27×flip3-- flip--
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
11×associate-*l/
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
add-log-exp
pow1/3 distribute-lft-out-- difference-of-squares
associate-*r* associate-*l* *-commutative
Counts
4 → 237
Calls
4 calls:
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
35.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
145.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
144.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
184.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify134.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
014878070
140657932
250017911

prune924.0ms

Filtered
220 candidates to 249 candidates (-13.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2490249
Fresh055
Picked011
Done011
Total2497256

Merged error: 0.4b

Counts
256 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×pow1 add-exp-log add-cbrt-cube
18×tanh-def
15×associate-*r*
14×add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
distribute-rgt-in sub-neg distribute-lft-in
add-log-exp
cbrt-prod flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
cbrt-div
flip3-+ pow1/3 flip-+
Counts
4 → 118
Calls
4 calls:
2.0ms
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series578.0ms

Counts
4 → 12
Calls
4 calls:
383.0ms
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
64.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
66.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04921603
121841494
250011484

prune149.0ms

Filtered
88 candidates to 130 candidates (-47.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done022
Total1307137

Merged error: 0.4b

Counts
137 → 7

regimes428.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

analyze800.0ms

Algorithm
search

sample690.0ms

Algorithm
intervals
Results
394.0ms7754×body80valid
28.0ms568×body80invalid
18.0ms93×body640valid
12.0ms49×body1280valid
9.0ms65×body320valid
4.0ms39×body160valid

Profiling

Loading profile data...