Details

Time bar (total: 2.9m)

sample104.0ms

Algorithm
intervals
Results
52.0ms269×body80valid
1.0msbody640valid
0.0msbody1280valid
0.0msbody160valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5001
53047
4907
3317
2141
154
012

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
6.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite583.0ms

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:
4.0ms
(tanh (/ x y))
19.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
25.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
529.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
180.0ms
(tanh (/ x y))
710.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
484.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
522.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.7s

Counts
95 → 95
Iterations
IterNodes
done5002
22275
1596
0189

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite730.0ms

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:
28.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
35.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
161.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
495.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series3.9s

Counts
4 → 12
Calls
4 calls:
964.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.0s
(- (tanh (/ t y)) (tanh (/ x y)))
1.2s
(* z (- (tanh (/ t y)) (tanh (/ x y))))
651.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify7.2s

Counts
126 → 126
Iterations
IterNodes
done5008
22273
1646
0218

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize336.0ms

Local error

Found 4 expressions with local error:

1.5b
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
2.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite6.8s

Algorithm
rewrite-expression-head
Rules
4785×cbrt-div
3915×frac-sub
3586×associate-*r/
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*r* *-commutative
Counts
4 → 1823
Calls
4 calls:
3.4s
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
19.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
23.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
56.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series3.1s

Counts
4 → 12
Calls
4 calls:
393.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
738.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
806.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.2s
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify23.4s

Counts
1835 → 1835
Iterations
IterNodes
done5000
03960

prune1.5m

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize157.0ms

Local error

Found 4 expressions with local error:

1.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.0b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite937.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
pow1 add-exp-log add-cbrt-cube
distribute-rgt-in distribute-lft-in
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sub-neg flip3-- flip-- add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
157.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
122.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
309.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
321.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series5.4s

Counts
4 → 12
Calls
4 calls:
681.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.1s
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
906.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.7s
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify6.5s

Counts
109 → 109
Iterations
IterNodes
done5000
21860
1567
0208

prune5.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes1.1s

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.5b and baseline of 2.4b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8312×body80valid
129.0ms98×body640valid
26.0ms48×body1280valid
25.0ms59×body320valid
19.0ms30×body160valid