Details

sample48.0ms

Algorithm

intervals

Results

27.0ms

277×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
25	4987
24	4738
23	4485
22	4221
21	3975
20	3724
19	3468
18	3205
17	2954
16	2689
15	2425
14	2076
13	1689
12	1239
11	799
10	540
9	376
8	272
7	218
6	177
5	123
4	86
3	49
2	30
1	17
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.1b	(/ (* y (- z t)) (- a t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

17.0ms	(* y (- z t))
18.0ms	(/ (* y (- z t)) (- a t))

series187.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* y (- z t))
123.0ms	(/ (* y (- z t)) (- a t))

simplify2.1s

Counts

63 → 63

Iterations

Iter	Nodes
done	5017
3	3417
2	809
1	275
0	107

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.6b	(/ y (/ (- a t) (- z t)))

rewrite64.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 196

Calls

2 calls:

31.0ms	(/ (- a t) (- z t))
29.0ms	(/ y (/ (- a t) (- z t)))

series275.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- a t) (- z t))
211.0ms	(/ y (/ (- a t) (- z t)))

simplify2.0s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	2511
1	718
0	272

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
2.6b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite158.0ms

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-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 198

Calls

4 calls:

15.0ms	(/ a (- z t))
71.0ms	(- (/ a (- z t)) (/ t (- z t)))
9.0ms	(/ t (- z t))
55.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ a (- z t))
97.0ms	(- (/ a (- z t)) (/ t (- z t)))
71.0ms	(/ t (- z t))
155.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.8s

Counts

210 → 210

Iterations

Iter	Nodes
done	5001
2	1745
1	554
0	276

prune944.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 104

Calls

2 calls:

22.0ms	(/ (- z t) (- a t))
28.0ms	(* y (/ (- z t) (- a t)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- z t) (- a t))
74.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5013
3	4675
2	1154
1	369
0	140

prune520.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes449.0ms

Accuracy

-10.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.2b

bsearch83.0ms

Steps

Iters	Range		Point
8	1.0896861391745654e-218	9.172294578684738e-216	2.7589848075703794e-216
5	-12.86585752737214	-3.9158998195986108	-4.347512852047913

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s	8690×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid