Details

Time bar (total: 22.5s)

sample43.0ms

Algorithm
intervals
Results
21.0ms257×body80valid
1.0ms6×body640valid
1.0ms4×body320valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
54647
4959
3322
2142
154
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
3.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-log-exp
5×sub-neg associate-*r* add-cube-cbrt
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
2.0ms
(tanh (/ t y))
8.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
47.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
159.0ms
(tanh (/ t y))
537.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
413.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
267.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.7s

Counts
95 → 95
Iterations
IterNodes
done5000
23048
1591
0186

prune814.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize90.0ms

Local error

Found 4 expressions with local error:

1.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.1b
(* y (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite617.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div associate-*r/
243×frac-sub
162×tanh-def
121×frac-times
27×flip3-- flip--
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow1 add-exp-log
11×add-cbrt-cube associate-*l/
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 236
Calls
4 calls:
9.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
10.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
16.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
553.0ms
(* y (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

series3.0s

Counts
4 → 12
Calls
4 calls:
1.1s
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
694.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
607.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
682.0ms
(* y (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify723.0ms

Counts
248 → 248
Iterations
IterNodes
done5000
11591
0655

prune3.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
0.6b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
10×distribute-rgt-in distribute-lft-in
7×sub-neg add-cube-cbrt
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:
3.0ms
(tanh (/ x y))
18.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
42.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
77.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
119.0ms
(tanh (/ x y))
418.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
437.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
255.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify823.0ms

Counts
117 → 117
Iterations
IterNodes
done5000
22301
1577
0195

prune839.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y)))))
0.4b
(+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y))))
5.0b
(* (tanh (/ x y)) (- (* z y)))
5.3b
(* y (tanh (/ t y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
21×associate-*r/
12×add-sqr-sqrt associate-*l/
11×add-log-exp
10×*-un-lft-identity
9×associate-*r* frac-add
8×pow1 add-cbrt-cube add-exp-log add-cube-cbrt tanh-def
6×associate-*l*
5×distribute-rgt-neg-out
4×sum-log
2×+-commutative associate-+r- flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×distribute-lft-neg-in associate-+r+ neg-mul-1 distribute-rgt-neg-in distribute-lft-out
Counts
4 → 84
Calls
4 calls:
28.0ms
(+ x (+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y)))))
28.0ms
(+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y))))
14.0ms
(* (tanh (/ x y)) (- (* z y)))
10.0ms
(* y (tanh (/ t y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
499.0ms
(+ x (+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y)))))
326.0ms
(+ (* z (* y (tanh (/ t y)))) (* (tanh (/ x y)) (- (* z y))))
161.0ms
(* (tanh (/ x y)) (- (* z y)))
124.0ms
(* y (tanh (/ t y)))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5000
23040
1636
0196

prune854.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.6b

regimes470.0ms

Accuracy

0% (1.8b remaining)

Error of 2.6b against oracle of 0.8b and baseline of 2.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
763.0ms8352×body80valid
28.0ms100×body640valid
17.0ms64×body320valid
10.0ms29×body1280valid
5.0ms39×body160valid