Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	242×	body	80	valid
3.0ms	16×	body	640	valid
2.0ms	15×	body	320	valid
2.0ms	8×	body	1280	valid
1.0ms	9×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	11	13
1	23	13
2	46	12
3	128	12
4	360	12
5	877	12
6	2016	12
7	3586	12
done	5000	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.1b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite35.0ms

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:

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

series216.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (- t x) (- a z))
114.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	918
1	269	890
2	658	838
3	1743	834
done	5000	830

prune321.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.4b	(/ 1 (/ (- a z) (- t x)))
15.0b	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

rewrite129.0ms

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:

44.0ms	(/ (- a z) (- t x))
61.0ms	(/ 1 (/ (- a z) (- t x)))
1.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

series545.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- a z) (- t x))
280.0ms	(/ 1 (/ (- a z) (- t x)))
183.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

simplify3.1s

Counts

223 → 223

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	274	3778
1	617	3266
2	1425	2943
3	4015	2863
done	5001	2861

prune578.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (/ 1 (- a z)) (- t x))
15.0b	(fma (* (/ 1 (- a z)) (- t x)) (- y z) x)

rewrite94.0ms

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:

12.0ms	(/ 1 (- a z))
72.0ms	(* (/ 1 (- a z)) (- t x))
1.0ms	(fma (* (/ 1 (- a z)) (- t x)) (- y z) x)

series589.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 1 (- a z))
325.0ms	(* (/ 1 (- a z)) (- t x))
212.0ms	(fma (* (/ 1 (- a z)) (- t x)) (- y z) x)

simplify3.1s

Counts

135 → 135

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	213	1961
1	488	1582
2	1217	1312
3	3914	1266
done	5000	1264

prune441.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.9b	(+ (* (/ (- t x) (- a z)) (- y z)) x)
4.0b	(* (/ (- t x) (- a z)) (- y z))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`add-cube-cbrt` `times-frac`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 170

Calls

3 calls:

38.0ms	(/ (- t x) (- a z))
34.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
97.0ms	(* (/ (- t x) (- a z)) (- y z))

series580.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- t x) (- a z))
226.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
278.0ms	(* (/ (- t x) (- a z)) (- y z))

simplify1.4s

Counts

179 → 179

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	256	3107
1	665	2740
2	1928	2516
done	5002	2490

prune573.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.3b

regimes359.0ms

Accuracy

0% (5.3b remaining)

Error of 11.9b against oracle of 6.6b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

611.0ms	7745×	body	80	valid
150.0ms	482×	body	640	valid
138.0ms	261×	body	1280	valid
71.0ms	441×	body	320	valid
30.0ms	278×	body	160	valid
4.0ms	12×	body	2560	valid