Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	258×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	141	15
3	301	15
4	896	15
5	2807	15
done	5000	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`add-cube-cbrt`
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

3 → 68

Calls

3 calls:

1.0ms	(tanh (/ t y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
23.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series462.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(tanh (/ t y))
222.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
159.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify941.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	157	1726
1	496	1702
2	2023	1608
done	5001	1608

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.4b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-cube-cbrt` `sub-neg`
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:

1.0ms	(tanh (/ t y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
21.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
40.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ t y))
225.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
212.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
160.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify596.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	191	2513
1	540	2486
2	1834	2350
done	5000	2350

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b	(* z (tanh (/ t y)))
1.7b	(* (- (tanh (/ x y))) z)
4.9b	(* (* z (tanh (/ t y))) y)
6.7b	(* y (* (- (tanh (/ x y))) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-l`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
9×	`associate-r/` `associate-l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-neg-frac`
4×	`*-commutative` `tanh-def` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-lft-neg-out` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 93

Calls

4 calls:

5.0ms	(* z (tanh (/ t y)))
8.0ms	(* (- (tanh (/ x y))) z)
11.0ms	(* (* z (tanh (/ t y))) y)
13.0ms	(* y (* (- (tanh (/ x y))) z))

series406.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (tanh (/ t y)))
104.0ms	(* (- (tanh (/ x y))) z)
96.0ms	(* (* z (tanh (/ t y))) y)
116.0ms	(* y (* (- (tanh (/ x y))) z))

simplify499.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	156	1065
1	406	1033
2	1473	897
done	5001	897

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* z (tanh (/ t y))) y) (* (* y (- (tanh (/ x y)))) z))
1.6b	(* z (tanh (/ t y)))
4.9b	(* (* z (tanh (/ t y))) y)
6.0b	(* y (- (tanh (/ x y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-*r/`
21×	`associate-*l/`
16×	`associate-r`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-neg-frac`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`frac-add` `tanh-def`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out`
2×	`distribute-lft-neg-out` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 93

Calls

4 calls:

15.0ms	(+ (* (* z (tanh (/ t y))) y) (* (* y (- (tanh (/ x y)))) z))
5.0ms	(* z (tanh (/ t y)))
11.0ms	(* (* z (tanh (/ t y))) y)
11.0ms	(* y (- (tanh (/ x y))))

series516.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(+ (* (* z (tanh (/ t y))) y) (* (* y (- (tanh (/ x y)))) z))
86.0ms	(* z (tanh (/ t y)))
94.0ms	(* (* z (tanh (/ t y))) y)
71.0ms	(* y (- (tanh (/ x y))))

simplify758.0ms

Counts

105 → 105

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	199	1688
1	616	1638
2	2270	1498
done	5001	1488

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

73% (1.1b remaining)

Error of 1.3b against oracle of 0.2b and baseline of 4.3b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	81
1	47	81
2	57	81
3	61	81
done	61	81

end0.0ms

sample604.0ms

Algorithm

intervals

Results

344.0ms	8303×	body	80	valid
12.0ms	77×	body	640	valid
12.0ms	53×	body	1280	valid
7.0ms	62×	body	320	valid
3.0ms	43×	body	160	valid