Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	251×	body	80	valid
2.0ms	13×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3818
5	978
4	326
3	116
2	45
1	20
0	11

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.6b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite55.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series282.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- y z) (- a z))
200.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4622
2	860
1	271
0	116

prune564.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.8b	(* (/ (- y z) (- a z)) (- t x))
1.9b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 170

Calls

3 calls:

40.0ms	(/ (- y z) (- a z))
72.0ms	(* (/ (- y z) (- a z)) (- t x))
49.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series893.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- y z) (- a z))
519.0ms	(* (/ (- y z) (- a z)) (- t x))
298.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify2.5s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	3219
1	716
0	255

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.1b	(* (/ (- y z) (- a z)) t)
1.6b	(* x (/ (- y z) (- a z)))
2.7b	(- x (* x (/ (- y z) (- a z))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
77×	`times-frac`
42×	`add-cube-cbrt`
34×	`associate-r` `associate-l`
32×	`distribute-lft-out--` `difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`associate-/r` `flip3--` `flip--` `associate-/l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `fma-neg` `div-exp` `prod-diff` `div-inv`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l/` `associate-r/`

Counts

4 → 178

Calls

4 calls:

40.0ms	(/ (- y z) (- a z))
47.0ms	(* (/ (- y z) (- a z)) t)
39.0ms	(* x (/ (- y z) (- a z)))
11.0ms	(- x (* x (/ (- y z) (- a z))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (- y z) (- a z))
133.0ms	(* (/ (- y z) (- a z)) t)
126.0ms	(* x (/ (- y z) (- a z)))
129.0ms	(- x (* x (/ (- y z) (- a z))))

simplify2.6s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	2730
1	610
0	224

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize53.0ms

Local error

Found 4 expressions with local error:

2.7b	(- x (* x (/ (- y z) (- a z))))
3.3b	(cbrt (/ (- y z) (- a z)))
3.3b	(cbrt (/ (- y z) (- a z)))
3.3b	(cbrt (/ (- y z) (- a z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `flip--`
3×	`cbrt-div` `fma-neg` `pow1/3` `prod-diff` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 146

Calls

4 calls:

10.0ms	(- x (* x (/ (- y z) (- a z))))
22.0ms	(cbrt (/ (- y z) (- a z)))
8.0ms	(cbrt (/ (- y z) (- a z)))
8.0ms	(cbrt (/ (- y z) (- a z)))

series1.8s

Counts

4 → 12

Calls

4 calls:

156.0ms	(- x (* x (/ (- y z) (- a z))))
557.0ms	(cbrt (/ (- y z) (- a z)))
477.0ms	(cbrt (/ (- y z) (- a z)))
562.0ms	(cbrt (/ (- y z) (- a z)))

simplify1.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	1112
1	400
0	196

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.1b

regimes769.0ms

Accuracy

0% (4.5b remaining)

Error of 7.6b against oracle of 3.1b and baseline of 7.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

625.0ms	7813×	body	80	valid
129.0ms	484×	body	640	valid
98.0ms	252×	body	1280	valid
63.0ms	413×	body	320	valid
63.0ms	253×	body	160	valid
7.0ms	20×	body	2560	valid