Details

sample79.0ms

Algorithm

intervals

Results

41.0ms	113×	pre	10240	exit
17.0ms	256×	body	80	valid
8.0ms	143×	pre	80	true

simplify10.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

7.2b	(- (/ x0 (- 1 x1)) x0)
0.8b	(/ x0 (- 1 x1))

rewrite87.0ms

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:

Slowest

70.0ms	(- (/ x0 (- 1 x1)) x0)
16.0ms	(/ x0 (- 1 x1))

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(- (/ x0 (- 1 x1)) x0)
48.0ms	(/ x0 (- 1 x1))

simplify826.0ms

Counts: 64 → 64

prune223.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.6b

localize19.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))

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:

Slowest

19.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
12.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))

series173.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
32.0ms	(/ x0 (- 1 x1))
29.0ms	(/ x0 (- 1 x1))
27.0ms	(/ x0 (- 1 x1))

simplify684.0ms

Counts: 152 → 152

prune698.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.7b	(+ (/ x0 (- 1 x1)) x0)

rewrite101.0ms

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:

Slowest

51.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
23.0ms	(+ (/ x0 (- 1 x1)) x0)
14.0ms	(/ x0 (- 1 x1))
11.0ms	(/ x0 (- 1 x1))

series172.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
37.0ms	(+ (/ x0 (- 1 x1)) x0)
32.0ms	(/ x0 (- 1 x1))
27.0ms	(/ x0 (- 1 x1))

simplify786.0ms

Counts: 122 → 122

prune576.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.6b

localize64.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1 x1)) x0))

rewrite94.0ms

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:

Slowest

48.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
18.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
14.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
13.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))

series406.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
108.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
104.0ms	(cbrt (+ (/ x0 (- 1 x1)) x0))
85.0ms	(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))

simplify932.0ms

Counts: 70 → 70

prune479.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.6b

regimes74.0ms

Accuracy

0% (1.0b remaining)

Error of 5.6b against oracle of 4.6b and baseline of 5.6b

bsearch3.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	4052×	pre	10240	exit
363.0ms	8000×	body	80	valid
163.0ms	3948×	pre	80	true