Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	17
1	13
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

20.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
12.0ms	(* (/ 841.0 108.0) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
30.0ms	(* (/ 841.0 108.0) x)

simplify672.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1056
1	246
0	97

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
0.3b	(/ (* x 841.0) 108.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

16.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
7.0ms	(/ (* x 841.0) 108.0)

series61.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
17.0ms	(/ (* x 841.0) 108.0)

simplify757.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
2	927
1	210
0	79

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
0.3b	(/ x (/ 108.0 841.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
50×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `associate-/r/` `flip-+`

Counts

2 → 84

Calls

2 calls:

65.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
17.0ms	(/ x (/ 108.0 841.0))

series76.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
34.0ms	(/ x (/ 108.0 841.0))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1919
1	463
0	179

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 108.0 841.0) 4.0) (* x 29.0))
0.1b	(/ (+ (* (/ 108.0 841.0) 4.0) (* x 29.0)) (/ (* 29.0 108.0) 841.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 61

Calls

2 calls:

13.0ms	(+ (* (/ 108.0 841.0) 4.0) (* x 29.0))
46.0ms	(/ (+ (* (/ 108.0 841.0) 4.0) (* x 29.0)) (/ (* 29.0 108.0) 841.0))

series147.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* (/ 108.0 841.0) 4.0) (* x 29.0))
79.0ms	(/ (+ (* (/ 108.0 841.0) 4.0) (* x 29.0)) (/ (* 29.0 108.0) 841.0))

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1938
1	407
0	141

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample549.0ms

Algorithm

intervals

Results

371.0ms	8001×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid