Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3462
10	1180
9	657
8	399
7	313
6	270
5	179
4	104
3	59
2	36
1	20
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(fma (/ (- z t) (- a t)) y x)

rewrite26.0ms

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:

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

series190.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- z t) (- a t))
120.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4648
2	833
1	264
0	113

prune506.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
2.2b	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

10.0ms	(/ z (- a t))
95.0ms	(- (/ z (- a t)) (/ t (- a t)))
0.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series374.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ z (- a t))
91.0ms	(- (/ z (- a t)) (/ t (- a t)))
236.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify2.2s

Counts

551 → 551

Iterations

Iter	Nodes
done	5000
2	3463
1	1224
0	555

prune3.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ (- z t) (- a t)) y x))
2.2b	(fma (/ (- z t) (- a t)) y x)
2.2b	(fma (/ (- z t) (- a t)) y x)
2.2b	(fma (/ (- z t) (- a t)) y x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `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) (- a t)) y x))
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)

series1.3s

Counts

4 → 12

Calls

4 calls:

888.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))
129.0ms	(fma (/ (- z t) (- a t)) y x)
147.0ms	(fma (/ (- z t) (- a t)) y x)
108.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1278
2	279
1	119
0	60

prune469.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.4b

localize74.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ (- z t) (- a t)) y x)
2.2b	(fma (/ (- z t) (- a t)) y x)
2.2b	(fma (/ (- z t) (- a t)) y x)
2.2b	(fma (/ (- z t) (- a t)) y x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series407.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(fma (/ (- z t) (- a t)) y x)
98.0ms	(fma (/ (- z t) (- a t)) y x)
101.0ms	(fma (/ (- z t) (- a t)) y x)
110.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	912
3	226
2	85
1	42
0	23

prune469.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.4b

regimes724.0ms

Accuracy

41.9% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.3b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

847.0ms	8753×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid