Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify679.0ms

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	478	10
12	550	10
13	643	10
14	670	10
done	670	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(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:

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

series129.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
82.0ms	(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	4063	806
done	5000	806

prune191.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
1.2b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite40.0ms

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))
17.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z a) (- z t))
99.0ms	(/ 1 (/ (- z a) (- z t)))
98.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.2s

Counts

223 → 223

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	269	3744
1	627	3232
2	1395	2913
3	3862	2837
done	5001	2834

prune395.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 310

Calls

3 calls:

88.0ms	(+ (/ y (/ (- z a) (- z t))) x)
11.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (/ y (/ (- z a) (- z t))) x)
49.0ms	(/ (- z a) (- z t))
124.0ms	(/ y (/ (- z a) (- z t)))

simplify859.0ms

Counts

319 → 319

Iterations

Useful iterations: 2 (308.0ms)

Iter	Nodes	Cost
0	298	3787
1	717	3541
2	2411	3422
done	5001	3422

prune825.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series114.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
84.0ms	(fma (/ y (- z a)) (- z t) x)

simplify941.0ms

Counts

55 → 55

Iterations

Useful iterations: 4 (398.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	363	495
3	780	495
4	2052	494
done	5000	494

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample525.0ms

Algorithm

intervals

Results

263.0ms

8764×

body

valid