Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

276×

body

valid

simplify574.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	100	11
5	131	11
6	158	11
7	181	11
8	223	11
9	280	11
10	312	11
11	356	11
12	391	11
13	403	11
done	403	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.2b	(/ (* y (- z t)) (- a t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

21.0ms	(* y (- z t))
21.0ms	(/ (* y (- z t)) (- a t))

series106.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- z t))
67.0ms	(/ (* y (- z t)) (- a t))

simplify1.8s

Counts

61 → 61

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	105	599
1	264	575
2	863	501
3	3948	501
done	5000	501

prune128.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.0b	(/ y (/ (- a t) (- z t)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

20.0ms	(/ (- a t) (- z t))
23.0ms	(/ y (/ (- a t) (- z t)))

series198.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- a t) (- z t))
146.0ms	(/ y (/ (- a t) (- z t)))

simplify1.0s

Counts

200 → 200

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	270	3488
1	616	3268
2	2226	3166
done	5001	3160

prune430.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
1.0b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

75.0ms	(- (/ a (- z t)) (/ t (- z t)))
10.0ms	(/ a (- z t))
10.0ms	(/ t (- z t))
104.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (/ a (- z t)) (/ t (- z t)))
30.0ms	(/ a (- z t))
43.0ms	(/ t (- z t))
110.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.6s

Counts

206 → 206

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	272	3276
1	509	3084
2	1338	2992
3	3300	2799
done	5000	2767

prune492.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (/ 1 (- z t))) (/ t (- z t)))
0.0b	(/ t (- z t))
0.2b	(* a (/ 1 (- z t)))
1.0b	(/ y (- (* a (/ 1 (- z t))) (/ t (- z t))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`times-frac`
33×	`add-cube-cbrt`
21×	`associate-r`
17×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/r/`
9×	`associate-/r*`
8×	`div-inv`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`distribute-rgt-out--` `associate-*r/` `un-div-inv`
4×	`flip3--` `div-exp` `prod-exp` `frac-sub` `flip--` `sub-div`
3×	`cbrt-undiv` `associate-l` `unswap-sqr`
2×	`frac-2neg` `clear-num` `cbrt-unprod`
1×	`sub-neg` `rec-exp` `diff-log` `1-exp` `pow-prod-down` `*-commutative`

Counts

4 → 135

Calls

4 calls:

23.0ms	(- (* a (/ 1 (- z t))) (/ t (- z t)))
10.0ms	(/ t (- z t))
30.0ms	(* a (/ 1 (- z t)))
46.0ms	(/ y (- (* a (/ 1 (- z t))) (/ t (- z t))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* a (/ 1 (- z t))) (/ t (- z t)))
43.0ms	(/ t (- z t))
30.0ms	(* a (/ 1 (- z t)))
112.0ms	(/ y (- (* a (/ 1 (- z t))) (/ t (- z t))))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	217	1979
1	459	1663
2	1070	1525
3	2684	1421
done	5002	1416

prune336.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample567.0ms

Algorithm

intervals

Results

236.0ms	8702×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid