Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

283×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	58	10
4	96	10
5	153	10
6	211	10
7	238	10
8	290	10
9	332	10
10	428	10
11	703	10
12	915	10
13	968	10
14	978	10
done	978	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.6b	(fma (/ (- z t) (- a t)) y 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:

13.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- a t))
80.0ms	(fma (/ (- z t) (- a t)) y x)

simplify903.0ms

Counts

70 → 70

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	113	884
1	259	856
2	681	808
3	2185	808
done	5000	806

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
0.6b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite43.0ms

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:

12.0ms	(/ (- a t) (- z t))
15.0ms	(/ 1 (/ (- a t) (- z t)))
3.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series399.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a t) (- z t))
147.0ms	(/ 1 (/ (- a t) (- z t)))
202.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.6s

Counts

223 → 223

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	270	3746
1	633	3330
2	2150	2915
done	5002	2907

prune400.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (/ 1 (- a t)) (- z t))
0.6b	(fma (* (/ 1 (- a t)) (- z t)) y x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

6.0ms	(/ 1 (- a t))
29.0ms	(* (/ 1 (- a t)) (- z t))
0.0ms	(fma (* (/ 1 (- a t)) (- z t)) y x)

series364.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a t))
136.0ms	(* (/ 1 (- a t)) (- z t))
194.0ms	(fma (* (/ 1 (- a t)) (- z t)) y x)

simplify1.4s

Counts

135 → 135

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	208	1929
1	499	1584
2	1832	1266
done	5001	1266

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) (/ (* z y) t))
5.7b	(/ (* z y) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`prod-diff`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`times-frac`
9×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`div-inv`
4×	`fma-neg`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `frac-sub` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `associate-/l*` `difference-of-squares`

Counts

2 → 76

Calls

2 calls:

25.0ms	(- (+ x y) (/ (* z y) t))
3.0ms	(/ (* z y) t)

series52.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (+ x y) (/ (* z y) t))
24.0ms	(/ (* z y) t)

simplify701.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	150	1768
1	393	1441
2	1503	1152
done	5000	1152

prune134.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	13	12
done	13	12

end0.0ms

sample524.0ms

Algorithm

intervals

Results

267.0ms	8728×	body	80	valid
0.0ms	1×	body	1280	valid