Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (42.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

52.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series170.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z y) (+ (- t z) 1.0))
114.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (540.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0b	(/ z (+ (- t z) 1.0))
0.0b	(/ y (+ (- t z) 1.0))
0.1b	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

1156×	`*-un-lft-identity`
701×	`times-frac`
441×	`prod-diff`
425×	`add-sqr-sqrt`
413×	`add-cube-cbrt`
286×	`distribute-lft-out`
155×	`distribute-lft-out--`
94×	`associate-/r/`
47×	`flip3-+` `flip-+` `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` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `fma-udef` `sub-div`

Counts

4 → 585

Calls

4 calls:

314.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
37.0ms	(/ z (+ (- t z) 1.0))
36.0ms	(/ y (+ (- t z) 1.0))
0.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

series404.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
50.0ms	(/ z (+ (- t z) 1.0))
43.0ms	(/ y (+ (- t z) 1.0))
145.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

simplify1.6s

Counts

597 → 597

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	465	33808
1	1041	29892
2	2379	22788
done	5002	17234

prune719.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
0.5b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.5b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
0.5b	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
3.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
1.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

series2.1s

Counts

4 → 12

Calls

4 calls:

651.0ms	(* (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)) (cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x)))
502.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
502.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))
492.0ms	(cbrt (fma a (/ (- z y) (+ (- t z) 1.0)) x))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	124	2539
1	297	2348
2	794	2114
3	2252	1776
done	5000	1711

prune304.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
11.8b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

67.0ms	(/ (+ (- t z) 1.0) a)
55.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series187.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ (- t z) 1.0) a)
146.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.4s

Counts

185 → 185

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	230	3588
1	623	3351
2	2033	3230
done	5001	3211

prune391.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	13	18
done	13	18

end0.0ms

sample622.0ms

Algorithm

intervals

Results

268.0ms	8476×	body	80	valid
0.0ms	1×	body	640	valid