Details

Time bar (total: 28.5s)

sample55.0ms

Algorithm
intervals
Results
25.0ms274×body80valid
1.0ms3×body1280valid
1.0ms2×body320valid
1.0ms1×body640valid
0.0ms2×body160valid

simplify3.0s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
4.8b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite139.0ms

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:
21.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
13.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms
(tanh (/ x y))
97.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
401.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
705.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
152.0ms
(tanh (/ x y))
326.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.5s

Counts
95 → 95
Iterations
IterNodes
done5002
23120
1599
0189

prune787.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ x y))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms
(tanh (/ x y))
45.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
84.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
690.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
168.0ms
(tanh (/ x y))
426.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
319.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.0s

Counts
113 → 113
Iterations
IterNodes
done5002
22447
1562
0202

prune850.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize111.0ms

Local error

Found 4 expressions with local error:

1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
77×associate-*r/
36×frac-sub
26×distribute-rgt-in distribute-lft-in
24×tanh-def
21×pow1 add-cbrt-cube add-exp-log
14×sub-neg
13×add-sqr-sqrt
12×associate-*l*
11×*-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*r*
4×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 146
Calls
4 calls:
39.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
103.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
102.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
80.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
407.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
316.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
306.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
315.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.8s

Counts
158 → 158
Iterations
IterNodes
done5000
21830
1455
0161

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
0.8b
(* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
2.7b
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
2.7b
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
297×sqrt-div
243×frac-sub
162×tanh-def
154×associate-*r/
121×frac-times
27×flip3-- flip--
20×add-sqr-sqrt pow1 sqrt-prod
18×*-un-lft-identity add-cbrt-cube add-exp-log
16×associate-*r*
11×associate-*l/
10×add-cube-cbrt
9×pow-prod-down prod-exp cbrt-unprod
4×distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative
Counts
4 → 255
Calls
4 calls:
218.0ms
(* (* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
64.0ms
(* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
20.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
37.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

series2.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
515.0ms
(* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
738.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
640.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.6s

Counts
267 → 267
Iterations
IterNodes
done5001
11311
0470

prune3.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.3b

regimes553.0ms

Accuracy

0% (1.6b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8356×body80valid
20.0ms68×body640valid
17.0ms44×body1280valid
15.0ms69×body320valid
5.0ms34×body160valid