Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	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

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	284	12
5	650	12
6	1496	12
7	3171	12
8	4923	12
done	5000	12

prune15.0ms

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

series174.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- y z) (- a z))
120.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify986.0ms

Counts

70 → 70

Iterations

Useful iterations: done (984.0ms)

Iter	Nodes	Cost
0	116	918
1	266	890
2	705	838
3	2259	834
done	5000	832

prune228.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

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)

rewrite41.0ms

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:

13.0ms	(/ (- a z) (- y z))
15.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series344.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- a z) (- y z))
145.0ms	(/ 1 (/ (- a z) (- y z)))
138.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify1.5s

Counts

223 → 223

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	273	3782
1	643	3366
2	2189	2947
done	5001	2935

prune483.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.0b

localize18.0ms

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)

rewrite56.0ms

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)

series391.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1 (- y z))
58.0ms	(* (- a z) (/ 1 (- y z)))
148.0ms	(/ 1 (* (- a z) (/ 1 (- y z))))
145.0ms	(fma (/ 1 (* (- a z) (/ 1 (- y z)))) (- t x) x)

simplify1.5s

Counts

163 → 163

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	196	1944
1	469	1609
2	1641	1309
done	5000	1305

prune409.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (/ 1 (- a z)) (- y z))
3.2b	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `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` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

6.0ms	(/ 1 (- a z))
28.0ms	(* (/ 1 (- a z)) (- y z))
0.0ms	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

series331.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1 (- a z))
147.0ms	(* (/ 1 (- a z)) (- y z))
141.0ms	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

simplify1.6s

Counts

135 → 135

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	211	1965
1	509	1620
2	1841	1298
done	5000	1298

prune305.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.0b

regimes373.0ms

Accuracy

37.9% (5.4b remaining)

Error of 9.0b against oracle of 3.7b and baseline of 12.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	73
1	38	73
done	38	73

end0.0ms

sample728.0ms

Algorithm

intervals

Results

263.0ms	7765×	body	80	valid
57.0ms	468×	body	640	valid
50.0ms	288×	body	1280	valid
41.0ms	450×	body	320	valid
16.0ms	265×	body	160	valid
6.0ms	30×	body	2560	valid