Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	62	10
4	104	10
5	148	10
6	192	10
7	219	10
8	253	10
9	302	10
10	422	10
11	613	10
12	659	10
13	694	10
14	696	10
done	696	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.8b	(fma (/ (- y z) (- a z)) t x)

rewrite14.0ms

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

Counts

2 → 64

Calls

2 calls:

12.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
76.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	599	808
3	1462	808
4	4029	806
done	5001	806

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
1.8b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite35.0ms

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-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

5.0ms	(/ 1 (- a z))
26.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- a z))
47.0ms	(* (- y z) (/ 1 (- a z)))
75.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.5s

Counts

114 → 114

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	149	1251
1	334	1062
2	992	918
3	3024	918
done	5000	917

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- y z) (- a z)) t x))
1.8b	(fma (/ (- y z) (- a z)) t x)
1.8b	(fma (/ (- y z) (- a z)) t x)
1.8b	(fma (/ (- y z) (- a z)) t x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series688.0ms

Counts

4 → 12

Calls

4 calls:

462.0ms	(cbrt (fma (/ (- y z) (- a z)) t x))
76.0ms	(fma (/ (- y z) (- a z)) t x)
78.0ms	(fma (/ (- y z) (- a z)) t x)
71.0ms	(fma (/ (- y z) (- a z)) t x)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	60	737
1	119	732
2	271	647
3	864	641
4	3117	633
done	5000	629

prune194.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b	(fma (/ (- y z) (- a z)) t x)
1.8b	(fma (/ (- y z) (- a z)) t x)
1.8b	(fma (/ (- y z) (- a z)) t x)
1.8b	(fma (/ (- y z) (- a z)) t x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series296.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (/ (- y z) (- a z)) t x)
74.0ms	(fma (/ (- y z) (- a z)) t x)
75.0ms	(fma (/ (- y z) (- a z)) t x)
72.0ms	(fma (/ (- y z) (- a z)) t x)

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	23	640
1	42	640
2	83	560
3	200	560
4	668	560
5	3131	560
done	5000	560

prune210.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

35.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample501.0ms

Algorithm

intervals

Results

253.0ms	8710×	body	80	valid
0.0ms	2×	body	640	valid