Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

280×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

33.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series239.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- z t) (- a t))
157.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune509.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite276.0ms

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:

169.0ms	(- (/ z (- a t)) (/ t (- a t)))
19.0ms	(/ z (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series447.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(- (/ z (- a t)) (/ t (- a t)))
49.0ms	(/ z (- a t))
251.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify2.5s

Counts

551 → 551

Iterations

Iter	Nodes
done	5000
2	3497
1	1226
0	555

prune3.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0ms

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

series935.0ms

Counts

4 → 12

Calls

4 calls:

550.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
120.0ms	(fma y (/ (- z t) (- a t)) x)
145.0ms	(fma y (/ (- z t) (- a t)) x)
119.0ms	(fma y (/ (- z t) (- a t)) x)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1284
2	283
1	119
0	60

prune506.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

series445.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(fma y (/ (- z t) (- a t)) x)
128.0ms	(fma y (/ (- z t) (- a t)) x)
101.0ms	(fma y (/ (- z t) (- a t)) x)
105.0ms	(fma y (/ (- z t) (- a t)) x)

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
4	909
3	231
2	89
1	42
0	23

prune460.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes809.0ms

Accuracy

69.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch112.0ms

Steps

Iters	Range		Point
8	7.258772702001939e-81	3.5782274853577514e-78	1.211877331305094e-80
9	-9.624778824023244e-25	-2.4480860087620355e-31	-1.114682128300158e-27

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample980.0ms

Algorithm

intervals

Results

503.0ms	8752×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid