Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify2.7s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

84.0ms	(/ (+ (- t z) 1.0) a)
160.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
89.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series425.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (+ (- t z) 1.0) a)
166.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
214.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.7s

Counts

201 → 201

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	259	3964
1	777	3751
2	3706	3575
done	5000	3569

prune630.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))
1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite194.0ms

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:

6.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
131.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series396.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
79.0ms	(/ (- y z) (+ (- t z) 1.0))
160.0ms	(* (/ (- 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

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)
4.8b	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
4.8b	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
4.8b	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out` `distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`difference-of-squares`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`

Counts

4 → 80

Calls

4 calls:

116.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)
39.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
40.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
40.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))

series826.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)
226.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
207.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))
222.0ms	(cbrt (* (/ (- y z) (+ (- t z) 1.0)) a))

simplify734.0ms

Counts

92 → 92

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	165	1774
1	416	1738
2	1446	1567
done	5000	1488

prune425.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.3b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

47.0ms	(/ a (+ (- t z) 1.0))
9.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
104.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ a (+ (- t z) 1.0))
141.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
117.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	161	1477
1	434	1382
2	2124	1272
done	5001	1272

prune241.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

543.0ms	8498×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid