Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	265×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	3×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	114	12
4	278	12
5	614	12
6	1250	12
7	2321	12
8	4128	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

12.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- y z) (- a z))
130.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	116	918
1	266	890
2	623	838
3	1565	834
4	4603	828
done	5000	828

prune241.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
2.3b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite44.0ms

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:

16.0ms	(/ (- a z) (- y z))
15.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series339.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a z) (- y z))
150.0ms	(/ 1 (/ (- a z) (- y z)))
136.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify2.8s

Counts

223 → 223

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	273	3782
1	633	3270
2	1418	2947
3	4028	2867
done	5000	2864

prune446.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* (- a z) (/ 1 (- y z)))
0.4b	(/ 1 (* (- a z) (/ 1 (- y z))))
3.2b	(fma (/ 1 (* (- a z) (/ 1 (- y z)))) (- t x) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 151

Calls

4 calls:

6.0ms	(/ 1 (- y z))
25.0ms	(* (- a z) (/ 1 (- y z)))
18.0ms	(/ 1 (* (- a z) (/ 1 (- y z))))
0.0ms	(fma (/ 1 (* (- a z) (/ 1 (- y z)))) (- t x) x)

series375.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- y z))
53.0ms	(* (- a z) (/ 1 (- y z)))
149.0ms	(/ 1 (* (- a z) (/ 1 (- y z))))
134.0ms	(fma (/ 1 (* (- a z) (/ 1 (- y z)))) (- t x) x)

simplify2.9s

Counts

163 → 163

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	196	1944
1	458	1553
2	1219	1309
3	4144	1305
done	5000	1303

prune401.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.2b

localize12.0ms

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)))
2.3b	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

rewrite99.0ms

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:

6.0ms	(/ 1 (- a z))
6.0ms	(/ 1 (- y z))
31.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

series366.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1 (- a z))
39.0ms	(/ 1 (- y z))
149.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
136.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

simplify2.0s

Counts

625 → 625

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	750	15076
1	2206	11234
2	4350	9996
done	5000	9996

prune695.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.2b

regimes392.0ms

Accuracy

39.8% (5.2b remaining)

Error of 8.8b against oracle of 3.6b and baseline of 12.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	73
1	33	58
done	33	58

end0.0ms

sample709.0ms

Algorithm

intervals

Results

258.0ms	7765×	body	80	valid
64.0ms	468×	body	640	valid
48.0ms	450×	body	320	valid
44.0ms	288×	body	1280	valid
17.0ms	265×	body	160	valid
6.0ms	30×	body	2560	valid