Details

Time bar (total: 9.2s)

sample35.0ms

Algorithm
intervals
Results
14.0ms265×body80valid
1.0msbody1280valid
1.0msbody640valid
1.0msbody320valid
0.0msbody160valid

simplify727.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
15415
214115
330515
490415
5285415
done500015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
4.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite30.0ms

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:
2.0ms
(tanh (/ t y))
4.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
13.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(tanh (/ t y))
136.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
91.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
83.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify612.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
01862094
15862029
223641931
done50001931

prune183.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New86995
Fresh000
Picked011
Done000
Total861096

Merged error: 0.9b

Counts
96 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
18×distribute-rgt-in distribute-lft-in tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
associate-+r+ add-log-exp
add-cube-cbrt
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 114
Calls
4 calls:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
8.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
14.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
91.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
109.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
80.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify573.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
02182792
16282732
222362592
done50012592

prune203.0ms

Filtered
88 candidates to 126 candidates (-43.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh178
Picked011
Done101
Total12610136

Merged error: 0.7b

Counts
136 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

3.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.5b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.6b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite94.0ms

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:
8.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
8.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
37.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series750.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
174.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
171.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
229.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify862.0ms

Counts
249 → 249
Iterations

Useful iterations: 2 (367.0ms)

IterNodesCost
051313731
1132113619
2349213362
done500013362

prune1.2s

Filtered
221 candidates to 249 candidates (-12.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2481249
Fresh088
Picked101
Done011
Total24910259

Merged error: 0.7b

Counts
259 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
4.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
4.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
4.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite51.0ms

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:
3.0ms
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
14.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
16.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
14.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series828.0ms

Counts
4 → 12
Calls
4 calls:
583.0ms
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
82.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
79.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
84.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify546.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01762946
14942827
219752635
done50002635

prune179.0ms

Filtered
90 candidates to 130 candidates (-44.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1291130
Fresh088
Picked011
Done011
Total12911140

Merged error: 0.7b

Counts
140 → 11

regimes580.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample939.0ms

Algorithm
intervals
Results
441.0ms8366×body80valid
15.0ms53×body1280valid
14.0ms70×body640valid
11.0ms74×body320valid
4.0ms39×body160valid

Profiling

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