Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
2.0ms	13×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	114	12
4	278	12
5	614	12
6	1246	12
7	2299	12
8	4034	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
12.6b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:

12.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series151.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y x) (- a t))
94.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (941.0ms)

Iter	Nodes	Cost
0	118	918
1	270	890
2	628	838
3	1591	836
4	4634	828
done	5000	828

prune222.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
3.3b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.6b	(* (/ (- y x) (- a t)) (- z t))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`add-cube-cbrt` `times-frac`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 170

Calls

3 calls:

11.0ms	(/ (- y x) (- a t))
16.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
33.0ms	(* (/ (- y x) (- a t)) (- z t))

series430.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- y x) (- a t))
156.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
219.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify1.0s

Counts

179 → 179

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	256	3107
1	676	2740
2	2102	2516
done	5000	2480

prune501.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(+ (* (- y x) (/ (- z t) (- a t))) x)
2.4b	(* (- y x) (/ (- z t) (- a t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

11.0ms	(/ (- z t) (- a t))
11.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
30.0ms	(* (- y x) (/ (- z t) (- a t)))

series333.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- a t))
158.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
121.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify878.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	189	1881
1	492	1765
2	1724	1669
done	5000	1669

prune397.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
1.9b	(+ (* (- y x) (- (/ z (- a t)) (/ t (- a t)))) x)
2.4b	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

2592×	`*-un-lft-identity`
2584×	`add-sqr-sqrt`
2568×	`times-frac`
1764×	`prod-diff`
1540×	`add-cube-cbrt`
886×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
525×	`distribute-lft-out--`
519×	`difference-of-squares`
344×	`associate-/r/`
180×	`flip3--` `flip--`
172×	`div-inv`
18×	`associate-r`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`frac-times`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u`
3×	`distribute-rgt-out--` `frac-sub` `sub-div`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-*l/` `clear-num`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 1915

Calls

4 calls:

5.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
180.0ms	(+ (* (- y x) (- (/ z (- a t)) (/ t (- a t)))) x)
240.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ z (- a t))
56.0ms	(/ t (- a t))
164.0ms	(+ (* (- y x) (- (/ z (- a t)) (/ t (- a t)))) x)
126.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))

simplify1.6s

Counts

1927 → 1927

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	1364	94987
1	2215	84993
done	5000	84735

prune6.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

regimes230.0ms

Accuracy

0% (5.0b remaining)

Error of 8.5b against oracle of 3.5b and baseline of 8.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	17	21
done	17	21

end0.0ms

sample723.0ms

Algorithm

intervals

Results

269.0ms	7821×	body	80	valid
62.0ms	494×	body	640	valid
41.0ms	271×	body	1280	valid
37.0ms	410×	body	320	valid
16.0ms	252×	body	160	valid
3.0ms	16×	body	2560	valid