Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	258×	body	80	valid
4.0ms	14×	body	640	valid
3.0ms	9×	body	1280	valid
3.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	322	12
5	766	12
6	1555	12
7	2873	12
8	4761	12
done	5000	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.2b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite39.0ms

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:

36.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
148.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	918
1	266	890
2	653	838
3	1707	834
done	5001	830

prune221.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.1b	(/ 1 (/ (- a z) (- y z)))
4.2b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite71.0ms

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:

23.0ms	(/ (- a z) (- y z))
31.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series417.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- a z) (- y z))
172.0ms	(/ 1 (/ (- a z) (- y z)))
192.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify2.5s

Counts

223 → 223

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	273	3782
1	615	3270
2	1414	2947
3	3930	2867
done	5002	2865

prune460.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

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)))
4.2b	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

rewrite196.0ms

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:

20.0ms	(/ 1 (- a z))
19.0ms	(/ 1 (- y z))
74.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

series371.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- a z))
38.0ms	(/ 1 (- y z))
147.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
145.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

simplify1.7s

Counts

625 → 625

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	750	15076
1	2066	11234
2	3807	9996
done	5000	9994

prune819.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
8.8b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
0.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

series873.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (- y z))
247.0ms	(cbrt (- y z))
225.0ms	(cbrt (- y z))
187.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

simplify2.6s

Counts

73 → 73

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	96	925
1	198	907
2	435	749
3	1162	676
4	4176	636
done	5000	636

prune345.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

regimes295.0ms

Accuracy

28% (6.3b remaining)

Error of 9.6b against oracle of 3.2b and baseline of 12.0b

bsearch161.0ms

Steps

Iters	Range		Point
8	1.4707725137908467e-101	8.579273971687159e-98	4.148123673034126e-100
9	-6.52872999559967e-121	-1.2083430315066995e-126	-5.991117286694601e-124

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	63
1	29	63
done	29	63

end0.0ms

sample1.9s

Algorithm

intervals

Results

919.0ms	7897×	body	80	valid
145.0ms	469×	body	640	valid
126.0ms	264×	body	1280	valid
52.0ms	373×	body	320	valid
26.0ms	275×	body	160	valid
7.0ms	21×	body	2560	valid