Details

sample45.0ms

Algorithm

intervals

Results

15.0ms

282×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2492
8	1293
7	674
6	329
5	179
4	106
3	63
2	35
1	17
0	10

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
2.6b	(fma (- y z) (/ t (- a z)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

14.0ms	(/ t (- a z))
1.0ms	(fma (- y z) (/ t (- a z)) x)

series151.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ t (- a z))
117.0ms	(fma (- y z) (/ t (- a z)) x)

simplify723.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1511
2	446
1	176
0	92

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
2.6b	(fma (- y z) (* t (/ 1 (- a z))) x)

rewrite49.0ms

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` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 99

Calls

3 calls:

17.0ms	(/ 1 (- a z))
26.0ms	(* t (/ 1 (- a z)))
0.0ms	(fma (- y z) (* t (/ 1 (- a z))) x)

series215.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ 1 (- a z))
50.0ms	(* t (/ 1 (- a z)))
101.0ms	(fma (- y z) (* t (/ 1 (- a z))) x)

simplify675.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1125
1	309
0	132

prune591.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.9b	(/ 1 (/ (- a z) t))
2.6b	(fma (- y z) (/ 1 (/ (- a z) t)) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 152

Calls

3 calls:

22.0ms	(/ (- a z) t)
23.0ms	(/ 1 (/ (- a z) t))
1.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

series270.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- a z) t)
111.0ms	(/ 1 (/ (- a z) t))
117.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

simplify1.2s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	2383
1	523
0	210

prune780.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- y z) (/ t (- a z)) x))
2.6b	(fma (- y z) (/ t (- a z)) x)
2.6b	(fma (- y z) (/ t (- a z)) x)
2.6b	(fma (- y z) (/ t (- a z)) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

737.0ms	(cbrt (fma (- y z) (/ t (- a z)) x))
108.0ms	(fma (- y z) (/ t (- a z)) x)
121.0ms	(fma (- y z) (/ t (- a z)) x)
124.0ms	(fma (- y z) (/ t (- a z)) x)

simplify703.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1314
2	280
1	116
0	60

prune470.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes628.0ms

Accuracy

90.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

832.0ms	8779×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid