Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

281×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.0b	(fma t (/ (- y z) (- a z)) x)

rewrite24.0ms

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:

21.0ms	(/ (- y z) (- a z))
1.0ms	(fma t (/ (- y z) (- a z)) x)

series206.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- y z) (- a z))
118.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5004
3	2029
2	651
1	264
0	113

prune502.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ z (- a z))
0.0b	(/ y (- a z))
2.0b	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

129.0ms	(- (/ y (- a z)) (/ z (- a z)))
11.0ms	(/ z (- a z))
11.0ms	(/ y (- a z))
1.0ms	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

series455.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (/ y (- a z)) (/ z (- a z)))
76.0ms	(/ z (- a z))
50.0ms	(/ y (- a z))
224.0ms	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

simplify2.4s

Counts

593 → 593

Iterations

Iter	Nodes
done	5008
2	3034
1	1277
0	570

prune3.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
2.0b	(fma t (/ 1 (/ (- a z) (- y z))) x)

rewrite66.0ms

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:

24.0ms	(/ (- a z) (- y z))
32.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma t (/ 1 (/ (- a z) (- y z))) x)

series558.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (- a z) (- y z))
189.0ms	(/ 1 (/ (- a z) (- y z)))
282.0ms	(fma t (/ 1 (/ (- a z) (- y z))) x)

simplify1.5s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	1849
1	696
0	270

prune934.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ t (- a z)) (- y z)) x)
0.0b	(/ t (- a z))
9.6b	(* (/ t (- a z)) (- y z))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

26.0ms	(+ (* (/ t (- a z)) (- y z)) x)
15.0ms	(/ t (- a z))
52.0ms	(* (/ t (- a z)) (- y z))

series597.0ms

Counts

3 → 9

Calls

3 calls:

306.0ms	(+ (* (/ t (- a z)) (- y z)) x)
35.0ms	(/ t (- a z))
256.0ms	(* (/ t (- a z)) (- y z))

simplify1.5s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	1691
1	627
0	226

prune811.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes607.0ms

Accuracy

44.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

461.0ms	8714×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid