Details

sample64.0ms

Algorithm

intervals

Results

29.0ms	269×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	4647
4	959
3	322
2	142
1	54
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `frac-sub`
8×	`tanh-def`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

13.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	(tanh (/ t y))
4.0ms	(tanh (/ x y))
53.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

517.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
126.0ms	(tanh (/ t y))
155.0ms	(tanh (/ x y))
276.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	2836
1	517
0	175

prune638.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
1.2b	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
3.4b	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*l/`
18×	`frac-sub`
14×	`tanh-def`
11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `associate-*r/` `add-exp-log`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`add-cube-cbrt`
4×	`associate-r` `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 → 80

Calls

4 calls:

3.0ms	(tanh (/ t y))
3.0ms	(tanh (/ x y))
63.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
119.0ms	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

series1.1s

Counts

4 → 12

Calls

4 calls:

130.0ms	(tanh (/ t y))
125.0ms	(tanh (/ x y))
503.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
388.0ms	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1952
1	466
0	172

prune739.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*l/`
18×	`frac-sub`
14×	`tanh-def`
11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`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 → 80

Calls

4 calls:

2.0ms	(tanh (/ t y))
3.0ms	(tanh (/ x y))
95.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
42.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

123.0ms	(tanh (/ t y))
110.0ms	(tanh (/ x y))
547.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
366.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2336
1	474
0	177

prune736.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b	(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
28.3b	(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
36×	`frac-sub`
33×	`cube-div`
24×	`tanh-def`
22×	`cbrt-div`
20×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`associate-r`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cube-cbrt`
10×	`add-cbrt-cube`
6×	`associate-l`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow-prod-down` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

28.0ms	(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
37.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
90.0ms	(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
42.0ms	(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

series1.7s

Counts

4 → 12

Calls

4 calls:

542.0ms	(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
395.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
362.0ms	(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
367.0ms	(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

simplify1.9s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	4618
1	887
0	264

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes366.0ms

Accuracy

0% (1.4b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

742.0ms	8258×	body	80	valid
29.0ms	114×	body	640	valid
16.0ms	42×	body	1280	valid
12.0ms	61×	body	320	valid
6.0ms	46×	body	160	valid