Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (32.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	194	12
5	315	12
6	488	12
7	697	12
8	1025	12
9	1350	12
10	1564	12
11	1625	12
12	1636	12
done	1636	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))
0.4b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite28.0ms

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:

25.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series164.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z y) (+ (- t z) 1.0))
104.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	726	940
3	2174	936
done	5000	934

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.1b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.4b	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

20.0ms	(/ 1 (+ (- t z) 1.0))
55.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (+ (- t z) 1.0))
49.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
96.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

simplify2.6s

Counts

114 → 114

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	156	1489
1	389	1283
2	1183	1109
3	3894	1104
done	5001	1103

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

87.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series264.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
37.0ms	(/ (+ (- t z) 1.0) a)
134.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify733.0ms

Counts

510 → 510

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	659	29857
1	1824	27457
done	5000	27085

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))
1.6b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite526.0ms

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:

212.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
25.0ms	(/ (- y z) (+ (- t z) 1.0))
53.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series300.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
139.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify910.0ms

Counts

1787 → 1787

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	2151	142625
done	5000	142343

prune5.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	14
1	17	14
done	17	14

end0.0ms

sample541.0ms

Algorithm

intervals

Results

288.0ms	8505×	body	80	valid
0.0ms	2×	body	320	valid