Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

273×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (55.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.3b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite98.0ms

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:

94.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series226.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- z y) (+ (- t z) 1.0))
142.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: 3 (774.0ms)

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

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0b	(/ y (+ (- t z) 1.0))
0.0b	(/ z (+ (- t z) 1.0))
0.3b	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

rewrite704.0ms

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:

469.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
56.0ms	(/ y (+ (- t z) 1.0))
77.0ms	(/ z (+ (- t z) 1.0))
1.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

series641.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
54.0ms	(/ y (+ (- t z) 1.0))
82.0ms	(/ z (+ (- t z) 1.0))
242.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

simplify2.6s

Counts

597 → 597

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	465	33808
1	1041	29892
2	2378	22788
done	5000	17234

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.3b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
0.3b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `flip-+` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

150.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
77.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(/ (+ (- t z) 1.0) (- z y))
300.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
146.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify3.2s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	260	4252
1	587	3672
2	1471	3342
3	4792	3259
done	5000	3259

prune641.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
0.0b	(/ (+ (- t z) 1.0) (- z y))
1.1b	(/ a (/ (+ (- t z) 1.0) (- z y)))

rewrite635.0ms

Algorithm

rewrite-expression-head

Rules

445×	`*-un-lft-identity`
386×	`times-frac`
238×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
83×	`distribute-lft-out`
82×	`distribute-lft-out--`
41×	`difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l-` `div-sub` `sum-log`

Counts

3 → 310

Calls

3 calls:

384.0ms	(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
120.0ms	(/ (+ (- t z) 1.0) (- z y))
95.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

series665.0ms

Counts

3 → 9

Calls

3 calls:

334.0ms	(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
101.0ms	(/ (+ (- t z) 1.0) (- z y))
229.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

simplify1.9s

Counts

319 → 319

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	281	4321
1	664	4021
2	2364	3876
done	5000	3868

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes314.0ms

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

sample1.2s

Algorithm

intervals

Results

624.0ms	8511×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	1280	valid