Details

sample47.0ms

Algorithm

intervals

Results

16.0ms

270×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (77.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite67.0ms

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:

64.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series207.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- z y) (+ (- t z) 1.0))
140.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (794.0ms)

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

prune205.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.1b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
0.3b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

rewrite252.0ms

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:

134.0ms	(/ (+ (- t z) 1.0) (- z y))
103.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

series543.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (+ (- t z) 1.0) (- z y))
160.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
286.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

simplify3.8s

Counts

223 → 223

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	260	4252
1	587	3672
2	1469	3342
3	4782	3259
done	5000	3259

prune592.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z 1.0) (- z y))
0.1b	(/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y))))
0.3b	(fma a (/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y)))) x)

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
228×	`times-frac`
165×	`add-sqr-sqrt`
132×	`distribute-lft-out--`
61×	`add-cube-cbrt`
44×	`difference-of-squares`
30×	`associate-/r*`
22×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--`
10×	`div-inv`
9×	`add-exp-log`
8×	`associate-/l*`
7×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/l/`
1×	`rec-exp` `pow-flip` `1-exp` `div-sub` `frac-sub` `fma-udef` `inv-pow` `sub-div`

Counts

3 → 189

Calls

3 calls:

27.0ms	(/ (- z 1.0) (- z y))
194.0ms	(/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y))))
1.0ms	(fma a (/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y)))) x)

series1.1s

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- z 1.0) (- z y))
413.0ms	(/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y))))
571.0ms	(fma a (/ 1 (- (/ t (- z y)) (/ (- z 1.0) (- z y)))) x)

simplify3.2s

Counts

198 → 198

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	284	3933
1	607	3424
2	1459	3295
3	4036	3085
done	5000	3085

prune573.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t (- z 1.0)))
0.2b	(* (/ 1 (- t (- z 1.0))) (- z y))
0.3b	(fma a (* (/ 1 (- t (- z 1.0))) (- z y)) x)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
38×	`times-frac`
37×	`add-cube-cbrt`
24×	`associate-l`
22×	`distribute-lft-out--`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1` `associate-/r*`
5×	`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` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 133

Calls

3 calls:

40.0ms	(/ 1 (- t (- z 1.0)))
109.0ms	(* (/ 1 (- t (- z 1.0))) (- z y))
0.0ms	(fma a (* (/ 1 (- t (- z 1.0))) (- z y)) x)

series448.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ 1 (- t (- z 1.0)))
148.0ms	(* (/ 1 (- t (- z 1.0))) (- z y))
227.0ms	(fma a (* (/ 1 (- t (- z 1.0))) (- z y)) x)

simplify1.6s

Counts

142 → 142

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	237	2438
1	564	2029
2	1520	1728
done	5000	1698

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	18
1	16	18
done	16	18

end0.0ms

sample965.0ms

Algorithm

intervals

Results

415.0ms

8469×

body

valid