Details

sample53.0ms

Algorithm

intervals

Results

22.0ms

272×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	265	12
5	959	12
6	4331	12
done	5000	12

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.4b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite94.0ms

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:

88.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series236.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- z y) (+ (- t z) 1.0))
161.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify810.0ms

Counts

70 → 70

Iterations

Useful iterations: done (807.0ms)

Iter	Nodes	Cost
0	116	1048
1	284	1006
2	1028	942
done	5001	936

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))
0.4b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

rewrite205.0ms

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:

119.0ms	(/ (+ (- t z) 1.0) (- z y))
59.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

series498.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (+ (- t z) 1.0) (- z y))
151.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
239.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)

simplify1.9s

Counts

223 → 223

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	260	4252
1	673	3672
2	3061	3406
done	5000	3405

prune604.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

843×	`*-un-lft-identity`
698×	`times-frac`
535×	`add-sqr-sqrt`
372×	`add-cube-cbrt`
300×	`prod-diff`
141×	`distribute-lft-out--`
126×	`distribute-lft-out`
80×	`difference-of-squares`
25×	`div-inv`
19×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `fma-neg` `div-exp`
2×	`pow1` `expm1-log1p-u` `flip3--` `div-sub` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate--r-`

Counts

2 → 461

Calls

2 calls:

209.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
84.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series399.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
215.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.2s

Counts

467 → 467

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	635	29333
1	1861	27441
done	5000	21496

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.8b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite930.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
3786×	`*-un-lft-identity`
2452×	`add-sqr-sqrt`
1885×	`add-cube-cbrt`
1224×	`prod-diff`
543×	`distribute-lft-out--`
542×	`distribute-lft-out`
278×	`difference-of-squares`
183×	`div-inv`
112×	`associate-/r/`
54×	`flip3-+` `flip-+`
36×	`associate-/l*`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 1778

Calls

3 calls:

386.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
78.0ms	(/ (- y z) (+ (- t z) 1.0))
114.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series483.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
78.0ms	(/ (- y z) (+ (- t z) 1.0))
233.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify1.4s

Counts

1787 → 1787

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	2151	142625
done	5001	133220

prune6.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	17	15
done	17	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	8452×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid