Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

322×

body

valid

simplify837.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (51.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	91	16
4	164	16
5	258	15
6	494	15
7	1221	15
done	5001	15

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def` `*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `frac-add` `prod-exp` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `distribute-lft-out`

Counts

2 → 53

Calls

2 calls:

17.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.6s

Counts

59 → 59

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	98	956
1	296	894
2	1023	754
3	4754	754
done	5000	754

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
0.0b	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
0.2b	(/ (/ 2.0 t) z)

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

291×	`times-frac`
221×	`*-un-lft-identity`
207×	`add-sqr-sqrt` `add-cube-cbrt`
132×	`associate-+r+`
129×	`prod-diff`
26×	`fma-def`
19×	`div-inv`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 272

Calls

3 calls:

219.0ms	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
96.0ms	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
6.0ms	(/ (/ 2.0 t) z)

series117.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
33.0ms	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
27.0ms	(/ (/ 2.0 t) z)

simplify2.1s

Counts

281 → 281

Iterations

Useful iterations: 2 (418.0ms)

Iter	Nodes	Cost
0	513	5534
1	1257	4786
2	4772	4471
done	5000	4471

prune832.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
0.6b	(cbrt (/ 2.0 t))
0.6b	(cbrt (/ 2.0 t))
0.6b	(cbrt (/ 2.0 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

21.0ms	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
1.0ms	(cbrt (/ 2.0 t))
2.0ms	(cbrt (/ 2.0 t))
2.0ms	(cbrt (/ 2.0 t))

series849.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
201.0ms	(cbrt (/ 2.0 t))
210.0ms	(cbrt (/ 2.0 t))
198.0ms	(cbrt (/ 2.0 t))

simplify2.3s

Counts

164 → 164

Iterations

Useful iterations: 3 (430.0ms)

Iter	Nodes	Cost
0	146	1894
1	229	1755
2	821	1685
3	3689	1616
done	5000	1616

prune556.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z))
9.0b	(/ (fma (* z 2.0) (- 1.0 t) 2.0) t)
9.6b	(/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

95×	`times-frac`
66×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
13×	`fma-def`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `associate-/l/`

Counts

3 → 130

Calls

3 calls:

39.0ms	(+ (/ x y) (/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z))
2.0ms	(/ (fma (* z 2.0) (- 1.0 t) 2.0) t)
6.0ms	(/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z)

series195.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (/ x y) (/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z))
54.0ms	(/ (fma (* z 2.0) (- 1.0 t) 2.0) t)
52.0ms	(/ (/ (fma (* z 2.0) (- 1.0 t) 2.0) t) z)

simplify626.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	207	2641
1	485	2530
2	1672	2393
done	5000	2393

prune606.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample681.0ms

Algorithm

intervals

Results

408.0ms

10529×

body

valid