Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	36	10
3	58	10
4	95	10
5	138	10
6	190	10
7	215	10
8	245	10
9	279	10
10	365	10
11	480	10
12	554	10
13	648	10
14	688	10
done	688	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

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

series113.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z t) (- z a))
72.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	594	808
3	1471	808
4	4076	806
done	5000	806

prune170.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.0b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite39.0ms

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--` `flip--` `div-inv`
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×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

11.0ms	(/ (- z a) (- z t))
16.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series308.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z a) (- z t))
153.0ms	(/ 1 (/ (- z a) (- z t)))
99.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.7s

Counts

223 → 223

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	269	3744
1	627	3328
2	1645	2913
3	4353	2837
done	5001	2834

prune397.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(/ 1 (- z a))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

5.0ms	(/ 1 (- z t))
6.0ms	(/ 1 (- z a))
26.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
0.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

series267.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- z t))
38.0ms	(/ 1 (- z a))
97.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
98.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

simplify2.7s

Counts

625 → 625

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	746	15038
1	2202	12436
done	5000	10228

prune638.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.0b	(fma (/ 1 (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- z a) (cbrt (- z t))))) y x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
0.0ms	(fma (/ 1 (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- z a) (cbrt (- z t))))) y x)

series549.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (- z t))
160.0ms	(cbrt (- z t))
158.0ms	(cbrt (- z t))
72.0ms	(fma (/ 1 (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- z a) (cbrt (- z t))))) y x)

simplify2.8s

Counts

73 → 73

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	95	943
1	202	925
2	457	807
3	1274	647
4	4369	611
done	5000	611

prune274.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

regimes260.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample505.0ms

Algorithm

intervals

Results

258.0ms	8711×	body	80	valid
0.0ms	1×	body	640	valid