Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

287×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) t x)

rewrite42.0ms

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:

38.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series211.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- y z) (- a z))
134.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune293.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.1b	(/ 1 (/ (- a z) (- y z)))
1.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 214

Calls

3 calls:

43.0ms	(/ (- a z) (- y z))
30.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series570.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- a z) (- y z))
209.0ms	(/ 1 (/ (- a z) (- y z)))
288.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.9s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	270	3746
1	605	3234
2	1379	2915
3	3739	2837
done	5000	2837

prune605.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

18.0ms	(/ 1 (- a z))
13.0ms	(/ 1 (- y z))
50.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
1.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

series609.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (- a z))
63.0ms	(/ 1 (- y z))
193.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
298.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

simplify2.1s

Counts

625 → 625

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	747	15040
1	2056	11198
2	3772	9964
done	5000	9962

prune856.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
4.0b	(cbrt (/ (- a z) (- y z)))
4.0b	(cbrt (/ (- a z) (- y z)))
4.0b	(cbrt (/ (- a z) (- y z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
10.0ms	(cbrt (/ (- a z) (- y z)))
10.0ms	(cbrt (/ (- a z) (- y z)))
10.0ms	(cbrt (/ (- a z) (- y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

225.0ms	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
415.0ms	(cbrt (/ (- a z) (- y z)))
428.0ms	(cbrt (/ (- a z) (- y z)))
432.0ms	(cbrt (/ (- a z) (- y z)))

simplify2.6s

Counts

148 → 148

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	178	2827
1	342	2728
2	688	2583
3	1590	2348
4	4398	2270
done	5000	2270

prune635.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes367.0ms

Accuracy

-14.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch102.0ms

Steps

Iters	Range		Point
8	7.095762177403902e-270	3.2474273658853703e-265	1.104478407980356e-268
7	-2.1103470360326814e-235	-9.080054364390386e-238	-1.4160787691257217e-236

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	36
1	22	26
done	22	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

575.0ms	8788×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid