Details

sample36.0ms

Algorithm

intervals

Results

17.0ms	275×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

31.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- y z) (- a z))
117.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.2s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.9s)

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

prune323.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
1.8b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite98.0ms

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:

25.0ms	(/ 1 (- a z))
68.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series244.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ 1 (- a z))
83.0ms	(* (- y z) (/ 1 (- a z)))
101.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify3.2s

Counts

114 → 114

Iterations

Useful iterations: 2 (656.0ms)

Iter	Nodes	Cost
0	149	1251
1	327	1018
2	905	918
3	2962	918
done	5000	918

prune299.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
1.8b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite79.0ms

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:

32.0ms	(/ (- a z) (- y z))
28.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series528.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- a z) (- y z))
165.0ms	(/ 1 (/ (- a z) (- y z)))
282.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.6s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.6s)

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

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ t (/ (- a z) (- y z))) x)
0.0b	(/ (- a z) (- y z))
2.3b	(/ t (/ (- a z) (- y z)))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

199.0ms	(+ (/ t (/ (- a z) (- y z))) x)
25.0ms	(/ (- a z) (- y z))
54.0ms	(/ t (/ (- a z) (- y z)))

series609.0ms

Counts

3 → 9

Calls

3 calls:

344.0ms	(+ (/ t (/ (- a z) (- y z))) x)
68.0ms	(/ (- a z) (- y z))
197.0ms	(/ t (/ (- a z) (- y z)))

simplify1.7s

Counts

319 → 319

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	298	3793
1	694	3547
2	2438	3428
done	5001	3412

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes303.0ms

Accuracy

54.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch131.0ms

Steps

Iters	Range		Point
8	4.83020879257289e-173	3.1273454212669107e-170	6.874929093463645e-172
6	-1.3637104581085021e-14	-9.40674724073812e-16	-3.621409335508073e-15

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	43
1	30	33
done	30	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

686.0ms	8666×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	2×	body	320	valid