Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	valid
2.0ms	16×	body	320	valid
2.0ms	9×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	9×	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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.6b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite57.0ms

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:

51.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series325.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (- y z) (- a z))
247.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.2s

Counts

70 → 70

Iterations

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

prune575.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.1b	(* (/ (- y z) (- a z)) (- t x))
3.1b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite149.0ms

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:

32.0ms	(/ (- y z) (- a z))
66.0ms	(* (/ (- y z) (- a z)) (- t x))
38.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series668.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- y z) (- a z))
354.0ms	(* (/ (- y z) (- a z)) (- t x))
256.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify1.9s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	3219
1	716
0	255

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) (- x (* x (/ (- y z) (- a z)))))
1.5b	(* (/ (- y z) (- a z)) t)
1.6b	(* x (/ (- y z) (- a z)))
3.0b	(- x (* x (/ (- y z) (- a z))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
52×	`times-frac`
34×	`associate-r` `associate-l`
31×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
8×	`pow1`
6×	`prod-diff`
5×	`associate-+r+`
4×	`expm1-log1p-u` `flip3--` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `flip--` `unswap-sqr`
3×	`fma-neg` `associate-*l/`
2×	`cbrt-undiv` `sum-log` `sub-neg` `diff-log` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `div-inv`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 147

Calls

4 calls:

25.0ms	(+ (* (/ (- y z) (- a z)) t) (- x (* x (/ (- y z) (- a z)))))
40.0ms	(* (/ (- y z) (- a z)) t)
67.0ms	(* x (/ (- y z) (- a z)))
8.0ms	(- x (* x (/ (- y z) (- a z))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(+ (* (/ (- y z) (- a z)) t) (- x (* x (/ (- y z) (- a z)))))
158.0ms	(* (/ (- y z) (- a z)) t)
107.0ms	(* x (/ (- y z) (- a z)))
134.0ms	(- x (* x (/ (- y z) (- a z))))

simplify2.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	2968
1	676
0	239

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.4b

localize59.0ms

Local error

Found 4 expressions with local error:

3.0b	(- x (* x (/ (- y z) (- a z))))
5.9b	(cbrt (* (/ (- y z) (- a z)) t))
5.9b	(cbrt (* (/ (- y z) (- a z)) t))
5.9b	(cbrt (* (/ (- y z) (- a z)) t))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`cbrt-prod` `cbrt-div` `fma-neg` `pow1/3` `prod-diff` `associate-*l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 56

Calls

4 calls:

7.0ms	(- x (* x (/ (- y z) (- a z))))
13.0ms	(cbrt (* (/ (- y z) (- a z)) t))
11.0ms	(cbrt (* (/ (- y z) (- a z)) t))
12.0ms	(cbrt (* (/ (- y z) (- a z)) t))

series1.6s

Counts

4 → 12

Calls

4 calls:

188.0ms	(- x (* x (/ (- y z) (- a z))))
525.0ms	(cbrt (* (/ (- y z) (- a z)) t))
462.0ms	(cbrt (* (/ (- y z) (- a z)) t))
412.0ms	(cbrt (* (/ (- y z) (- a z)) t))

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1006
1	273
0	119

prune540.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.4b

regimes1.0s

Accuracy

44% (3.6b remaining)

Error of 7.1b against oracle of 3.5b and baseline of 9.9b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	42
1	42
0	33

end0.0ms

sample1.9s

Algorithm

intervals

Results

626.0ms	7728×	body	80	valid
445.0ms	252×	body	160	valid
169.0ms	269×	body	1280	valid
138.0ms	505×	body	640	valid
68.0ms	412×	body	320	valid
4.0ms	14×	body	2560	valid