Details

sample59.0ms

Algorithm

intervals

Results

27.0ms

276×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (83.0ms)

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: 0.1b

localize20.0ms

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)

rewrite64.0ms

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:

61.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series212.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (- z y) (+ (- t z) 1.0))
134.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (795.0ms)

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

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)
0.5b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite185.0ms

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:

106.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
64.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series476.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (+ (- t z) 1.0) (- z y))
237.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
146.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify3.8s

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

prune506.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
1.4b	(/ a (/ (+ (- t z) 1.0) (- z y)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity`
218×	`times-frac`
142×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`associate-+l-` `flip3-+` `div-sub` `flip-+`

Counts

2 → 198

Calls

2 calls:

99.0ms	(/ (+ (- t z) 1.0) (- z y))
70.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

series291.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (+ (- t z) 1.0) (- z y))
215.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

simplify1.5s

Counts

204 → 204

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	255	3980
1	585	3706
2	2138	3584
done	5000	3565

prune754.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.3b	(/ 1 (/ (/ (+ (- t z) 1.0) (- z y)) a))
1.4b	(/ (/ (+ (- t z) 1.0) (- z y)) a)

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
1051×	`*-un-lft-identity`
621×	`add-sqr-sqrt`
449×	`add-cube-cbrt`
172×	`distribute-lft-out` `distribute-lft-out--`
105×	`associate-/r*`
86×	`difference-of-squares`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`associate-+l-`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

3 → 617

Calls

3 calls:

112.0ms	(/ (+ (- t z) 1.0) (- z y))
89.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) (- z y)) a))
107.0ms	(/ (/ (+ (- t z) 1.0) (- z y)) a)

series510.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(/ (+ (- t z) 1.0) (- z y))
198.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) (- z y)) a))
193.0ms	(/ (/ (+ (- t z) 1.0) (- z y)) a)

simplify2.1s

Counts

626 → 626

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	618	15267
1	1467	13559
2	3274	12195
done	5002	12194

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

613.0ms

8460×

body

valid