Details

sample39.0ms

Algorithm

intervals

Results

15.0ms

284×

body

valid

simplify8.5s

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

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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/` `insert-posit16` `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 → 66

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
2.0ms	(fma t (/ (- y z) (- a z)) x)

series260.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- y z) (- a z))
169.0ms	(fma t (/ (- y z) (- a z)) x)

simplify3.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2013
2	653
1	266
0	115

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(* t (/ (- y z) (- a z)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 108

Calls

2 calls:

61.0ms	(/ (- y z) (- a z))
142.0ms	(* t (/ (- y z) (- a z)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (- y z) (- a z))
173.0ms	(* t (/ (- y z) (- a z)))

simplify7.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4417
2	1165
1	378
0	144

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize117.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
1.5b	(* t (/ 1 (/ (- a z) (- y z))))

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 336

Calls

3 calls:

86.0ms	(/ (- a z) (- y z))
62.0ms	(/ 1 (/ (- a z) (- y z)))
240.0ms	(* t (/ 1 (/ (- a z) (- y z))))

series675.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- a z) (- y z))
257.0ms	(/ 1 (/ (- a z) (- y z)))
340.0ms	(* t (/ 1 (/ (- a z) (- y z))))

simplify5.9s

Counts

345 → 345

Iterations

Iter	Nodes
done	5002
2	2997
1	1015
0	360

prune3.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.2b	(/ t (/ (- a z) (- y z)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 200

Calls

2 calls:

65.0ms	(/ (- a z) (- y z))
65.0ms	(/ t (/ (- a z) (- y z)))

series483.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(/ (- a z) (- y z))
366.0ms	(/ t (/ (- a z) (- y z)))

simplify5.7s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	2757
1	739
0	276

prune2.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

839.0ms	8748×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid