Details

Time bar (total: 12.8s)

sample25.0ms

Algorithm
intervals
Results
10.0ms271×body80valid
1.0ms4×body640valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
494415
5313415
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
3.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite71.0ms

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:
12.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
5.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
50.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
90.0ms
(tanh (/ t y))
87.0ms
(tanh (/ x y))
182.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify860.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
01651855
15121823
221171729
done50001729

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.2b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
14×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
9×*-un-lft-identity
7×add-cube-cbrt
6×sub-neg associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- *-commutative flip--
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
2.0ms
(tanh (/ x y))
2.0ms
(tanh (/ t y))
44.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
77.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ x y))
87.0ms
(tanh (/ t y))
246.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
188.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify638.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01811885
14711857
217431739
done50001739

prune323.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
3.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp frac-sub add-cbrt-cube cbrt-unprod
12×sub-neg tanh-def
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
77.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
191.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
189.0ms
(cbrt y)
348.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
217.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify949.0ms

Counts
129 → 129
Iterations

Useful iterations: done (945.0ms)

IterNodesCost
02112877
16252851
224572285
done50022058

prune326.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.3b
(* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.6b
(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
3.3b
(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite757.0ms

Algorithm
rewrite-expression-head
Rules
99×associate-*r/
96×distribute-rgt-in distribute-lft-in
95×pow1 add-exp-log
69×pow-prod-down prod-exp cbrt-unprod
49×add-cbrt-cube
28×sub-neg
27×frac-sub
18×tanh-def
12×cbrt-prod
11×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×flip3-- associate-*r* *-commutative flip--
1×pow1/3
Counts
4 → 204
Calls
4 calls:
1.0ms
(cbrt y)
77.0ms
(* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
193.0ms
(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
473.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
649.0ms
(* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
352.0ms
(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
217.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify1.7s

Counts
216 → 216
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03037489
19737394
239005136
done50013858

prune419.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.9b

regimes156.0ms

Accuracy

0% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample655.0ms

Algorithm
intervals
Results
310.0ms8325×body80valid
17.0ms101×body640valid
9.0ms48×body1280valid
7.0ms60×body320valid
3.0ms42×body160valid