Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	233×	body	80	valid
3.0ms	25×	body	640	valid
1.0ms	10×	body	1280	valid
1.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	322	12
5	770	12
6	1556	12
7	2865	12
8	4698	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
17.5b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite33.0ms

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:

30.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series166.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- y x) (- a t))
102.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	118	918
1	270	890
2	658	838
3	1740	836
done	5000	830

prune227.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.6b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.8b	(* (/ (- y x) (- a t)) (- z t))

rewrite134.0ms

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:

26.0ms	(/ (- y x) (- a t))
28.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
69.0ms	(* (/ (- y x) (- a t)) (- z t))

series456.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- y x) (- a t))
166.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
228.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify1.1s

Counts

179 → 179

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	256	3107
1	667	2740
2	1939	2516
done	5001	2490

prune502.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(* (- y x) (/ (- z t) (- a t)))
1.6b	(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite155.0ms

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:

26.0ms	(/ (- z t) (- a t))
79.0ms	(* (- y x) (/ (- z t) (- a t)))
44.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)

series383.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z t) (- a t))
136.0ms	(* (- y x) (/ (- z t) (- a t)))
189.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify939.0ms

Counts

135 → 135

Iterations

Useful iterations: done (935.0ms)

Iter	Nodes	Cost
0	189	1881
1	487	1765
2	1769	1669
done	5000	1667

prune406.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
1.3b	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
9.4b	(+ (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) x)

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
150×	`associate-r`
149×	`add-sqr-sqrt`
133×	`*-un-lft-identity`
120×	`cbrt-prod`
112×	`cbrt-div`
66×	`associate-/r/`
65×	`add-cube-cbrt`
58×	`flip3--` `flip--`
38×	`frac-times`
33×	`distribute-lft-out--`
31×	`difference-of-squares`
20×	`add-exp-log` `associate-*l/`
19×	`associate-*r/`
13×	`pow1` `associate-l` `add-cbrt-cube`
10×	`swap-sqr`
9×	`div-inv` `unswap-sqr`
7×	`pow1/3`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 265

Calls

4 calls:

4.0ms	(cbrt (- a t))
43.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
161.0ms	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
75.0ms	(+ (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) x)

series653.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (- a t))
151.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
138.0ms	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
193.0ms	(+ (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) x)

simplify617.0ms

Counts

277 → 277

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	492	6153
1	1289	5822
done	5000	5175

prune977.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.6b

regimes404.0ms

Accuracy

-4.4% (8.5b remaining)

Error of 12.0b against oracle of 3.5b and baseline of 11.6b

bsearch210.0ms

Steps

Iters	Range		Point
6	2.1337374506248387e+268	2.6461398214311264e+269	4.6973134801150785e+268
11	2.0893902321101696e+128	5.791159728287554e+152	1.0361740754760255e+139
10	2.0068999130450005e+110	1.3481840315279074e+121	2.684379757761613e+120
9	-5.778998546738359e+98	-9.43474742152184e+92	-5.676216823033654e+98

simplify16.0ms

Iterations

Useful iterations: 4 (7.0ms)

Iter	Nodes	Cost
0	28	78
1	34	67
2	37	55
3	43	44
4	46	43
5	49	43
6	50	43
7	51	43
done	51	43

end0.0ms

sample852.0ms

Algorithm

intervals

Results

264.0ms	7784×	body	80	valid
55.0ms	485×	body	640	valid
46.0ms	264×	body	1280	valid
35.0ms	403×	body	320	valid
16.0ms	268×	body	160	valid
3.0ms	18×	body	2560	valid