Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

284×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	103	10
5	157	10
6	210	10
7	265	10
8	350	10
9	441	10
10	690	10
11	872	10
12	1071	10
13	1174	10
14	1183	10
done	1183	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.2b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- z a))
92.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (649.0ms)

Iter	Nodes	Cost
0	92	552
1	175	535
2	460	495
3	1280	495
4	3829	494
done	5001	494

prune161.0ms

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 (- z a))
0.2b	(* y (/ 1 (- z a)))
3.2b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `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 → 99

Calls

3 calls:

6.0ms	(/ 1 (- z a))
19.0ms	(* y (/ 1 (- z a)))
0.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series163.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- z a))
35.0ms	(* y (/ 1 (- z a)))
90.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	132	1057
1	294	881
2	969	751
3	2416	751
done	5000	750

prune235.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.2b	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

series893.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
416.0ms	(cbrt y)
181.0ms	(cbrt y)
111.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

simplify431.0ms

Counts

61 → 61

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	52	607
1	97	595
2	261	367
3	1003	347
done	5000	347

prune228.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- z a)) (- z t) x))
3.2b	(fma (/ y (- z a)) (- z t) x)
3.2b	(fma (/ y (- z a)) (- z t) x)
3.2b	(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)

series483.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
80.0ms	(fma (/ y (- z a)) (- z t) x)
80.0ms	(fma (/ y (- z a)) (- z t) x)
82.0ms	(fma (/ y (- z a)) (- z t) x)

simplify672.0ms

Counts

55 → 55

Iterations

Useful iterations: 4 (176.0ms)

Iter	Nodes	Cost
0	47	715
1	84	713
2	163	631
3	415	624
4	1677	620
done	5000	620

prune187.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

87.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample536.0ms

Algorithm

intervals

Results

272.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid