Details

sample55.0ms

Algorithm

intervals

Results

31.0ms	133×	pre	10240	exit
9.0ms	256×	body	80	valid
4.0ms	123×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.5b	(- (/ x0 (- 1 x1)) x0)

rewrite71.0ms

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:

16.0ms	(/ x0 (- 1 x1))
54.0ms	(- (/ x0 (- 1 x1)) x0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ x0 (- 1 x1))
43.0ms	(- (/ x0 (- 1 x1)) x0)

simplify965.0ms

Counts

64 → 64

Iterations

Iter	Nodes
4	2785
3	1082
2	511
1	236
0	121

prune231.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
6.3b	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

rewrite49.0ms

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:

8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
25.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x0 (- 1 x1))
31.0ms	(/ x0 (- 1 x1))
31.0ms	(/ x0 (- 1 x1))
87.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))

simplify814.0ms

Counts

152 → 152

Iterations

Iter	Nodes
3	2827
2	784
1	284
0	132

prune688.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))
0.7b	(/ x0 (- 1 x1))
6.3b	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

rewrite113.0ms

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:

41.0ms	(+ (/ x0 (- 1 x1)) x0)
8.0ms	(/ x0 (- 1 x1))
11.0ms	(/ x0 (- 1 x1))
52.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (/ x0 (- 1 x1)) x0)
29.0ms	(/ x0 (- 1 x1))
36.0ms	(/ x0 (- 1 x1))
78.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
3	3443
2	1030
1	352
0	155

prune606.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
6.3b	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

rewrite386.0ms

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:

312.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
45.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

series397.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
111.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
107.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
70.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

simplify999.0ms

Counts

70 → 70

Iterations

Iter	Nodes
3	3616
2	881
1	306
0	118

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

regimes83.0ms

Accuracy

0% (1.0b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

822.0ms	3931×	pre	10240	exit
367.0ms	8000×	body	80	valid
131.0ms	4069×	pre	80	true