Details

Time bar (total: 27.8s)

sample63.0ms

Algorithm
intervals
Results
28.0ms270×body80valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
495915
5465615
done500015

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
5.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
6×add-log-exp
5×add-cube-cbrt associate-*r*
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
4.0ms
(tanh (/ t y))
4.0ms
(tanh (/ x y))
30.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
107.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
169.0ms
(tanh (/ t y))
162.0ms
(tanh (/ x y))
469.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
356.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.2s

Counts
90 → 90
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01651855
15201823
225841733
done50021729

prune886.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
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 → 105
Calls
4 calls:
4.0ms
(tanh (/ x y))
25.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
89.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
163.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
173.0ms
(tanh (/ x y))
481.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
473.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
351.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.6s

Counts
117 → 117
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01952513
15772486
222972356
done50022350

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize69.0ms

Local error

Found 4 expressions with local error:

3.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.4b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.4b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.4b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite529.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
164.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
112.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
120.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
123.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
365.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
814.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
810.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
802.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.4s

Counts
109 → 109
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02083412
15693385
219883220
done50013202

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize73.0ms

Local error

Found 4 expressions with local error:

3.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.4b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.4b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
77×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
140.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
40.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
94.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
106.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.1s
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
693.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
701.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.8s

Counts
109 → 109
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02733506
17123472
227523307
done50013278

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.2b

regimes584.0ms

Accuracy

0% (1.1b remaining)

Error of 2.1b against oracle of 1.0b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s8299×body80valid
39.0ms106×body640valid
22.0ms44×body1280valid
19.0ms71×body320valid
7.0ms39×body160valid