Details

sample60.0ms

Algorithm

intervals

Results

26.0ms	268×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.6b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-log-exp`
5×	`add-cube-cbrt` `sub-neg` `associate-r`
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` `flip3-+` `diff-log` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 83

Calls

4 calls:

16.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	(tanh (/ x y))
27.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
125.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

423.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
110.0ms	(tanh (/ x y))
299.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
586.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.1s

Counts: 95 → 95

prune327.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite205.0ms

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:

17.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
69.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
108.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

376.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
162.0ms	(tanh (/ x y))
320.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
209.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.1s

Counts: 117 → 117

prune524.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y)))))
5.8b	(* (* y z) (tanh (/ t y)))
5.9b	(* (* y z) (- (tanh (/ x y))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(tanh (/ x y))
45.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y)))))
23.0ms	(* (* y z) (tanh (/ t y)))
36.0ms	(* (* y z) (- (tanh (/ x y))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(tanh (/ x y))
234.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (- (tanh (/ x y)))))
145.0ms	(* (* y z) (tanh (/ t y)))
143.0ms	(* (* y z) (- (tanh (/ x y))))

simplify1.8s

Counts: 95 → 95

prune501.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* y z) (tanh (/ t y)))
5.9b	(* (* y z) (- (tanh (/ x y))))
5.9b	(* (* y z) (- (tanh (/ x y))))
5.9b	(* (* y z) (- (tanh (/ x y))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-r`
24×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-neg-frac`
4×	`associate-l` `*-commutative` `tanh-def` `add-log-exp`
3×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 108

Calls

4 calls:

46.0ms	(* (* y z) (tanh (/ t y)))
43.0ms	(* (* y z) (- (tanh (/ x y))))
28.0ms	(* (* y z) (- (tanh (/ x y))))
28.0ms	(* (* y z) (- (tanh (/ x y))))

series555.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (* y z) (tanh (/ t y)))
123.0ms	(* (* y z) (- (tanh (/ x y))))
127.0ms	(* (* y z) (- (tanh (/ x y))))
166.0ms	(* (* y z) (- (tanh (/ x y))))

simplify907.0ms

Counts: 120 → 120

prune631.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes241.0ms

Accuracy

0% (1.9b remaining)

Error of 2.1b against oracle of 0.2b and baseline of 2.1b

bsearch0.0ms

simplify1.4s

end0.0ms

sample1.4s

Algorithm

intervals

Results

766.0ms	8287×	body	80	valid
50.0ms	83×	body	640	valid
42.0ms	73×	body	320	valid
18.0ms	43×	body	1280	valid
5.0ms	36×	body	160	valid