Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	271×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	147	14
3	334	14
4	996	14
5	3305	14
done	5000	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
8×	`tanh-def`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
49.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(tanh (/ x y))
98.0ms	(tanh (/ t y))
298.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
263.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify750.0ms

Counts

101 → 101

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	205	2180
1	476	1819
2	1553	1567
done	5000	1413

prune291.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`sub-neg`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

44.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
22.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
22.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
24.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
639.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
618.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
616.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify992.0ms

Counts

133 → 133

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	270	4593
1	669	4162
2	2075	3839
done	5000	3650

prune613.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
32×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `frac-sub` `add-cbrt-cube`
8×	`tanh-def`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

2.0ms	(tanh (/ x y))
11.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ t y))
53.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series777.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(tanh (/ x y))
398.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
97.0ms	(tanh (/ t y))
189.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	245	3076
1	662	2555
2	2499	2187
done	5000	1973

prune367.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
0.0b	(tanh (/ t y))
0.0b	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
2.7b	(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`associate-*r/`
20×	`add-cube-cbrt`
18×	`prod-diff` `frac-sub`
13×	`tanh-def`
11×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `add-cbrt-cube`
8×	`associate-r`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

8.0ms	(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
2.0ms	(tanh (/ t y))
80.0ms	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
44.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

series941.0ms

Counts

4 → 12

Calls

4 calls:

401.0ms	(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
95.0ms	(tanh (/ t y))
246.0ms	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
199.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.1s

Counts

127 → 127

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	249	3028
1	629	2560
2	2139	2244
done	5002	2092

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

4.2% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.7b

bsearch53.0ms

Steps

Iters	Range		Point
10	8.470404865580837e+115	5.975897171659898e+126	5.880629389853999e+126

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	54
1	28	52
done	28	52

end0.0ms

sample677.0ms

Algorithm

intervals

Results

338.0ms	8332×	body	80	valid
13.0ms	85×	body	640	valid
9.0ms	42×	body	1280	valid
6.0ms	58×	body	320	valid
5.0ms	28×	body	160	valid