Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

287×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(fma (/ (- z t) (- z a)) y x)

rewrite34.0ms

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:

25.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series176.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- z t) (- z a))
103.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	628	808
3	1605	808
4	4736	806
done	5000	806

prune275.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.8b	(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `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` `rec-exp` `1-exp` `associate-*l/` `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 → 105

Calls

3 calls:

13.0ms	(/ 1 (- z a))
62.0ms	(* (- z t) (/ 1 (- z a)))
6.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

series226.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (- z a))
67.0ms	(* (- z t) (/ 1 (- z a)))
108.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

simplify2.8s

Counts

114 → 114

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	149	1251
1	331	1018
2	915	918
3	2969	918
done	5001	918

prune328.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
1.8b	(fma (* (- z t) (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) y x)

rewrite27.0ms

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:

8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
1.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) y x)

series845.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (- z a))
233.0ms	(cbrt (- z a))
231.0ms	(cbrt (- z a))
128.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) y x)

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	94	917
1	195	899
2	420	741
3	1080	650
4	3812	614
done	5000	611

prune416.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- z t) (- z a)) y x))
1.8b	(fma (/ (- z t) (- z a)) y x)
1.8b	(fma (/ (- z t) (- z a)) y x)
1.8b	(fma (/ (- z t) (- z a)) y x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`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×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ (- z t) (- z a)) y x))
0.0ms	(fma (/ (- z t) (- z a)) y x)
0.0ms	(fma (/ (- z t) (- z a)) y x)
0.0ms	(fma (/ (- z t) (- z a)) y x)

series919.0ms

Counts

4 → 12

Calls

4 calls:

571.0ms	(cbrt (fma (/ (- z t) (- z a)) y x))
105.0ms	(fma (/ (- z t) (- z a)) y x)
124.0ms	(fma (/ (- z t) (- z a)) y x)
119.0ms	(fma (/ (- z t) (- z a)) y x)

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (366.0ms)

Iter	Nodes	Cost
0	47	715
1	87	713
2	158	631
3	366	624
4	1258	620
done	5000	620

prune276.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

66.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch156.0ms

Steps

Iters	Range		Point
10	8.683476754437834e-116	6.07641182977687e-99	1.976628579682119e-101
10	-534556523479.6495	-46.86566100083496	-46722405.0959222

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	41
1	27	41
done	27	41

end0.0ms

sample1.6s

Algorithm

intervals

Results

561.0ms

8791×

body

valid