Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

287×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	111	10
5	156	10
6	206	10
7	251	10
8	301	10
9	386	10
10	484	10
11	552	10
12	616	10
13	644	10
done	644	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
4.6b	(fma (/ y (- a t)) (- z t) x)

rewrite17.0ms

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:

14.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series344.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ y (- a t))
281.0ms	(fma (/ y (- a t)) (- z t) x)

simplify2.5s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	92	550
1	167	533
2	348	493
3	761	491
4	2276	490
done	5000	490

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.6b	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
14.1b	(cbrt (/ y (- a t)))
14.1b	(cbrt (/ y (- a t)))
14.1b	(cbrt (/ y (- a t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
8.0ms	(cbrt (/ y (- a t)))
16.0ms	(cbrt (/ y (- a t)))
14.0ms	(cbrt (/ y (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

360.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
275.0ms	(cbrt (/ y (- a t)))
295.0ms	(cbrt (/ y (- a t)))
334.0ms	(cbrt (/ y (- a t)))

simplify3.0s

Counts

118 → 118

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	137	1733
1	224	1673
2	442	1452
3	1080	1396
4	3218	1357
done	5000	1345

prune774.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.6b	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (cbrt (- a t)))) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (cbrt (- a t)))) (- z t) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

349.0ms	(cbrt y)
341.0ms	(cbrt y)
351.0ms	(cbrt y)
399.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (cbrt (- a t)))) (- z t) x)

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	52	605
1	93	593
2	241	365
3	1038	343
done	5000	310

prune403.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y (- a t)) (- z t) x)) (cbrt (fma (/ y (- a t)) (- z t) x)))
4.6b	(fma (/ y (- a t)) (- z t) x)
4.6b	(fma (/ y (- a t)) (- z t) x)
4.6b	(fma (/ y (- a t)) (- z t) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

24.0ms	(* (cbrt (fma (/ y (- a t)) (- z t) x)) (cbrt (fma (/ y (- a t)) (- z t) x)))
0.0ms	(fma (/ y (- a t)) (- z t) x)
0.0ms	(fma (/ y (- a t)) (- z t) x)
0.0ms	(fma (/ y (- a t)) (- z t) x)

series4.3s

Counts

4 → 12

Calls

4 calls:

3.3s	(* (cbrt (fma (/ y (- a t)) (- z t) x)) (cbrt (fma (/ y (- a t)) (- z t) x)))
291.0ms	(fma (/ y (- a t)) (- z t) x)
353.0ms	(fma (/ y (- a t)) (- z t) x)
346.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	1734
1	218	1603
2	540	1449
3	1482	1213
done	5000	1198

prune452.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes535.0ms

Accuracy

87.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

572.0ms	8743×	body	80	valid
0.0ms	1×	body	1280	valid