Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	52×	body	640	valid
6.0ms	133×	body	80	valid
6.0ms	42×	body	320	valid
3.0ms	29×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
4.5b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

12.0ms	(/ 1 (+ x 1))
34.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series47.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ 1 (+ x 1))
32.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify11.1s

Counts

77 → 77

Iterations

Iter	Nodes
4	3087
3	1334
2	587
1	257
0	124

prune470.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* x x))
0.4b	(/ -1 (+ x (* x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+ x (* x x))
7.0ms	(/ -1 (+ x (* x x)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* x x))
25.0ms	(/ -1 (+ x (* x x)))

simplify831.0ms

Counts

58 → 58

Iterations

Iter	Nodes
3	2144
2	642
1	197
0	95

prune369.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (+ x 1))
0.1b	(/ (/ -1 (+ x 1)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

9.0ms	(/ -1 (+ x 1))
12.0ms	(/ (/ -1 (+ x 1)) x)

series44.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ -1 (+ x 1))
24.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
3	3339
2	1069
1	444
0	199

prune831.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ -1 (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))))
14.8b	(cbrt (+ x (* x x)))
14.8b	(cbrt (+ x (* x x)))
14.8b	(cbrt (+ x (* x x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`cbrt-prod`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `flip3-+` `add-exp-log` `add-cube-cbrt` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`frac-times` `pow1` `insert-posit16` `add-log-exp`
3×	`times-frac` `distribute-rgt-out` `pow1/3` `distribute-rgt1-in` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 78

Calls

4 calls:

20.0ms	(/ -1 (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ -1 (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))))
59.0ms	(cbrt (+ x (* x x)))
47.0ms	(cbrt (+ x (* x x)))
64.0ms	(cbrt (+ x (* x x)))

simplify886.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2266
2	798
1	298
0	135

prune893.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

658.0ms	1935×	body	640	valid
284.0ms	4208×	body	80	valid
268.0ms	1240×	body	320	valid
102.0ms	619×	body	160	valid