Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify958.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.5b	(fma (/ (- z t) (- z a)) y x)

rewrite15.0ms

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:

12.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series129.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- z t) (- z a))
80.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.1s)

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

prune204.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.5b	(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- z a))
27.0ms	(* (- z t) (/ 1 (- z a)))
0.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- z a))
45.0ms	(* (- z t) (/ 1 (- z a)))
76.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

simplify2.7s

Counts

114 → 114

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	149	1251
1	338	1062
2	1001	918
3	3054	918
done	5001	917

prune274.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.5b	(fma (pow (/ (- z t) (- z a)) 1) y x)

rewrite16.0ms

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:

13.0ms	(/ (- z t) (- z a))
0.0ms	(fma (pow (/ (- z t) (- z a)) 1) y x)

series148.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z t) (- z a))
88.0ms	(fma (pow (/ (- z t) (- z a)) 1) y x)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	114	910
1	264	856
2	631	808
3	1690	808
done	5000	806

prune222.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
1.5b	(fma (pow (/ 1 (/ (- z a) (- z t))) 1) y x)

rewrite41.0ms

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:

12.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma (pow (/ 1 (/ (- z a) (- z t))) 1) y x)

series288.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- z a) (- z t))
118.0ms	(/ 1 (/ (- z a) (- z t)))
116.0ms	(fma (pow (/ 1 (/ (- z a) (- z t))) 1) y x)

simplify3.3s

Counts

223 → 223

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	270	3770
1	630	3328
2	1718	2913
3	4659	2837
done	5000	2836

prune440.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.5b

regimes272.0ms

Accuracy

0% (0.6b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	13	10
done	13	10

end0.0ms

sample566.0ms

Algorithm

intervals

Results

293.0ms	8765×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid