Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

294×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

26.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series146.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- y z) (- a z))
87.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune203.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

11.0ms	(/ y (- a z))
109.0ms	(- (/ y (- a z)) (/ z (- a z)))
11.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series358.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ y (- a z))
77.0ms	(- (/ y (- a z)) (/ z (- a z)))
52.0ms	(/ z (- a z))
194.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify1.7s

Counts

593 → 593

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	570	28404
1	1227	25505
2	2579	19553
done	5000	14972

prune815.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a z))
0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ z (- a z))
1.7b	(* (- (/ y (- a z)) (/ z (- a z))) t)

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 610

Calls

4 calls:

11.0ms	(/ y (- a z))
104.0ms	(- (/ y (- a z)) (/ z (- a z)))
11.0ms	(/ z (- a z))
262.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)

series318.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ y (- a z))
85.0ms	(- (/ y (- a z)) (/ z (- a z)))
49.0ms	(/ z (- a z))
148.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)

simplify2.1s

Counts

622 → 622

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	593	28840
1	1283	25938
2	2819	19958
done	5000	15378

prune853.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
0.0b	(/ z (- a z))
0.6b	(/ 1 (/ (- a z) y))
1.7b	(* (- (/ 1 (/ (- a z) y)) (/ z (- a z))) t)

rewrite890.0ms

Algorithm

rewrite-expression-head

Rules

3348×	`times-frac`
2532×	`add-sqr-sqrt`
2496×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1302×	`prod-diff`
420×	`difference-of-squares`
410×	`distribute-lft-out--`
158×	`div-inv`
149×	`associate-/r/`
65×	`flip3--` `flip--`
62×	`fma-neg`
24×	`associate-/r*`
19×	`add-exp-log`
17×	`associate-l`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-*l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `frac-sub`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 1571

Calls

4 calls:

188.0ms	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
11.0ms	(/ z (- a z))
17.0ms	(/ 1 (/ (- a z) y))
464.0ms	(* (- (/ 1 (/ (- a z) y)) (/ z (- a z))) t)

series530.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
53.0ms	(/ z (- a z))
85.0ms	(/ 1 (/ (- a z) y))
232.0ms	(* (- (/ 1 (/ (- a z) y)) (/ z (- a z))) t)

simplify2.0s

Counts

1583 → 1583

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	1319	89896
1	2810	77022
2	4580	55849
done	5000	55849

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	17	17
done	17	17

end0.0ms

sample628.0ms

Algorithm

intervals

Results

259.0ms	8716×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid