Details

sample60.0ms

Algorithm

intervals

Results

22.0ms

280×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.3b	(fma (/ (- z t) (- z a)) y x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

44.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series224.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- z t) (- z a))
143.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	113	884
1	266	856
2	824	810
3	4498	808
done	5000	808

prune603.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.3b	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

22.0ms	(/ t (- z a))
223.0ms	(- (/ z (- z a)) (/ t (- z a)))
24.0ms	(/ z (- z a))
1.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series586.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ t (- z a))
217.0ms	(- (/ z (- z a)) (/ t (- z a)))
96.0ms	(/ z (- z a))
214.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify3.2s

Counts

593 → 593

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	569	28402
1	1279	25566
2	3791	20202
done	5000	20202

prune4.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
2.1b	(* (- (/ z (- z a)) (/ t (- z a))) y)

rewrite924.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 610

Calls

4 calls:

25.0ms	(/ t (- z a))
201.0ms	(- (/ z (- z a)) (/ t (- z a)))
22.0ms	(/ z (- z a))
542.0ms	(* (- (/ z (- z a)) (/ t (- z a))) y)

series761.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ t (- z a))
204.0ms	(- (/ z (- z a)) (/ t (- z a)))
84.0ms	(/ z (- z a))
414.0ms	(* (- (/ z (- z a)) (/ t (- z a))) y)

simplify3.4s

Counts

622 → 622

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	590	28828
1	1330	25989
2	4297	20599
done	5000	20599

prune4.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
1.3b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

50.0ms	(/ (- z a) (- z t))
60.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series449.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (- z a) (- z t))
186.0ms	(/ 1 (/ (- z a) (- z t)))
179.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify3.1s

Counts

223 → 223

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	269	3744
1	707	3232
2	4818	3114
done	5000	3104

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes630.0ms

Accuracy

59.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch114.0ms

Steps

Iters	Range		Point
7	6.391304074233313e+16	2.2957029167283863e+18	6.464730504116222e+16
7	-4.0040255522943795e-102	-3.096612874320719e-104	-2.1549913783258382e-103

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	41
1	25	31
done	25	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

651.0ms	8692×	body	80	valid
1.0ms	2×	body	1280	valid