Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

277×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.1b	(fma t (/ (- y z) (- a z)) x)

rewrite23.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

19.0ms	(/ (- y z) (- a z))
0.0ms	(fma t (/ (- y z) (- a z)) x)

series187.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- y z) (- a z))
116.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5004
3	2029
2	651
1	264
0	113

prune403.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
1.1b	(fma t (* (- y z) (/ 1 (- a z))) x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

13.0ms	(/ 1 (- a z))
54.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

series229.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ 1 (- a z))
70.0ms	(* (- y z) (/ 1 (- a z)))
110.0ms	(fma t (* (- y z) (/ 1 (- a z))) x)

simplify2.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
3	3570
2	1149
1	352
0	149

prune549.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
1.1b	(fma t (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

8.0ms	(cbrt (/ 1 (- a z)))
14.0ms	(cbrt (/ 1 (- a z)))
8.0ms	(cbrt (/ 1 (- a z)))
0.0ms	(fma t (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) x)

series743.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (/ 1 (- a z)))
202.0ms	(cbrt (/ 1 (- a z)))
218.0ms	(cbrt (/ 1 (- a z)))
121.0ms	(fma t (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) x)

simplify3.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
4	4507
3	1289
2	502
1	251
0	140

prune771.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- y z) (/ (- a z) t)) x)
0.0b	(/ (- a z) t)
10.2b	(/ (- y z) (/ (- a z) t))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

140.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
18.0ms	(/ (- a z) t)
36.0ms	(/ (- y z) (/ (- a z) t))

series386.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
48.0ms	(/ (- a z) t)
177.0ms	(/ (- y z) (/ (- a z) t))

simplify2.1s

Counts

303 → 303

Iterations

Iter	Nodes
done	5001
2	2415
1	873
0	279

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes440.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample852.0ms

Algorithm

intervals

Results

434.0ms	8708×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid