Details

sample55.0ms

Algorithm

intervals

Results

26.0ms

272×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	255	13
5	908	13
6	3977	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
188×	`times-frac`
125×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
39×	`distribute-lft-out--`
36×	`distribute-lft-out`
23×	`difference-of-squares`
19×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `associate--r-`

Counts

2 → 154

Calls

2 calls:

178.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
90.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series302.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
186.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

160 → 160

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	236	3456
1	711	3258
2	3216	3110
done	5000	3110

prune455.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.6b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

5.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
72.0ms	(/ (- y z) (+ (- t z) 1.0))
115.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series386.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
84.0ms	(/ (- y z) (+ (- t z) 1.0))
162.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	168	1847
1	446	1762
2	1841	1654
done	5002	1648

prune383.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.8b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite563.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

301.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
82.0ms	(/ (- y z) (+ (- t z) 1.0))
101.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series364.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
65.0ms	(/ (- y z) (+ (- t z) 1.0))
190.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify937.0ms

Counts

554 → 554

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	627	15240
1	2210	13089
done	5002	12933

prune952.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.3b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.6b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

6.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
96.0ms	(/ (+ (- t z) 1.0) (- y z))
64.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
213.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series534.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
81.0ms	(/ (+ (- t z) 1.0) (- y z))
124.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
161.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify675.0ms

Counts

350 → 350

Iterations

Useful iterations: done (659.0ms)

Iter	Nodes	Cost
0	358	6380
1	1021	5657
done	5000	5179

prune925.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	17	15
done	17	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

421.0ms	8452×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid