Details

sample63.0ms

Algorithm

intervals

Results

32.0ms	124×	pre	10240	exit
12.0ms	256×	body	80	valid
5.0ms	132×	pre	80	true

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	10
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.4b	(- (/ x0 (- 1 x1)) x0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/ x0 (- 1 x1))
37.0ms	(- (/ x0 (- 1 x1)) x0)

series83.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ x0 (- 1 x1))
55.0ms	(- (/ x0 (- 1 x1)) x0)

simplify808.0ms

Counts

64 → 64

Iterations

Iter	Nodes
4	2821
3	1071
2	506
1	234
0	121

prune293.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
6.2b	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
37×	`add-cube-cbrt`
25×	`difference-of-squares`
18×	`associate-/r*`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 140

Calls

4 calls:

12.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
29.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x0 (- 1 x1))
40.0ms	(/ x0 (- 1 x1))
45.0ms	(/ x0 (- 1 x1))
99.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify852.0ms

Counts

152 → 152

Iterations

Iter	Nodes
3	2804
2	783
1	282
0	132

prune818.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
6.2b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
36×	`times-frac`
26×	`add-cube-cbrt`
16×	`difference-of-squares`
12×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

30.0ms	(+ (/ x0 (- 1 x1)) x0)
16.0ms	(/ x0 (- 1 x1))
10.0ms	(/ x0 (- 1 x1))
44.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series198.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (/ x0 (- 1 x1)) x0)
32.0ms	(/ x0 (- 1 x1))
37.0ms	(/ x0 (- 1 x1))
89.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
3	3508
2	1020
1	348
0	155

prune575.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.8b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.8b	(cbrt (+ (/ x0 (- 1 x1)) x0))
6.2b	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 58

Calls

4 calls:

16.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
16.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
14.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
41.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

series446.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
128.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
131.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
86.0ms	(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
3	3695
2	882
1	303
0	118

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

regimes74.0ms

Accuracy

0% (0.5b remaining)

Error of 4.8b against oracle of 4.2b and baseline of 4.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	3981×	pre	10240	exit
525.0ms	8000×	body	80	valid
175.0ms	4019×	pre	80	true