Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	253×	body	80	valid
3.0ms	9×	body	1280	valid
3.0ms	14×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	2×	body	2560	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3874
5	979
4	326
3	116
2	45
1	20
0	11

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite42.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

37.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series279.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (- z t) (- a t))
194.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4602
2	861
1	272
0	116

prune570.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.1b	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

45.0ms	(/ (- a t) (- z t))
22.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

series535.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- a t) (- z t))
243.0ms	(/ 1 (/ (- a t) (- z t)))
210.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

simplify2.4s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3962
1	714
0	273

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
0.2b	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
2.1b	(fma (/ 1 (- (/ a (- z t)) (/ t (- z t)))) (- y x) x)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

175×	`*-un-lft-identity`
156×	`times-frac`
135×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
55×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--` `add-exp-log`
11×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube`
9×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `1-exp` `frac-sub` `fma-udef` `pow-flip` `inv-pow` `sub-div`

Counts

4 → 185

Calls

4 calls:

10.0ms	(/ a (- z t))
10.0ms	(/ t (- z t))
133.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
0.0ms	(fma (/ 1 (- (/ a (- z t)) (/ t (- z t)))) (- y x) x)

series500.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ a (- z t))
87.0ms	(/ t (- z t))
130.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
220.0ms	(fma (/ 1 (- (/ a (- z t)) (/ t (- z t)))) (- y x) x)

simplify1.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	2549
1	548
0	275

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
7.4b	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `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:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

series909.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (- a t))
235.0ms	(cbrt (- a t))
264.0ms	(cbrt (- a t))
195.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

simplify1.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	2092
2	537
1	206
0	97

prune627.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

regimes1.0s

Accuracy

51.1% (5.4b remaining)

Error of 9.0b against oracle of 3.7b and baseline of 14.7b

bsearch3.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	43
1	43
0	37

end0.0ms

sample1.7s

Algorithm

intervals

Results

722.0ms	7915×	body	80	valid
129.0ms	433×	body	320	valid
96.0ms	450×	body	640	valid
74.0ms	274×	body	1280	valid
24.0ms	222×	body	160	valid
5.0ms	15×	body	2560	valid