Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	278×	body	80	valid
0.0ms	1×	body	640	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4
done	1399	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.0b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

11.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series233.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ y (- a t))
198.0ms	(fma (/ y (- a t)) (- z t) x)

simplify104.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243
done	5001	243

prune154.0ms

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))
0.2b	(* y (/ 1 (- a t)))
3.0b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

14.0ms	(/ 1 (- a t))
29.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series277.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a t))
35.0ms	(* y (/ 1 (- a t)))
202.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify72.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	284	497
1	1119	429
2	4119	381
3	5001	381
done	5001	381

prune240.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.0b	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
0.0ms	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

series709.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- a t))
172.0ms	(cbrt (- a t))
167.0ms	(cbrt (- a t))
203.0ms	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

simplify155.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	185	501
1	412	458
2	1249	441
3	4834	418
4	5001	418
done	5001	418

prune271.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
10.9b	(/ (- z t) (/ (- a t) y))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

16.0ms	(/ (- a t) y)
116.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
31.0ms	(/ (- z t) (/ (- a t) y))

series263.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- a t) y)
110.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
117.0ms	(/ (- z t) (/ (- a t) y))

simplify78.0ms

Counts

303 → 303

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	791	1747
1	3018	1690
2	5001	1690
done	5001	1690

prune727.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

60.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch51.0ms

Steps

Iters	Range		Point
5	2.059734204894022e-87	6.01827392800872e-87	5.555747765118675e-87
7	-1.0408640317411258e-116	-5.404745093457681e-119	-6.812592873358665e-118

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11
done	29	11

end0.0ms

sample616.0ms

Algorithm

intervals

Results

249.0ms	8784×	body	80	valid
0.0ms	1×	body	640	valid