Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

258×

body

valid

simplify17.0ms

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

localize10.0ms

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)

rewrite43.0ms

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:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

simplify724.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1056
1	246
0	97

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
0.2b	(/ (* x 841.0) 108.0)

rewrite39.0ms

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:

26.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
12.0ms	(/ (* x 841.0) 108.0)

series93.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
23.0ms	(/ (* x 841.0) 108.0)

simplify686.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
2	927
1	210
0	79

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite98.0ms

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:

78.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
14.0ms	(/ x (/ 108.0 841.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
33.0ms	(/ x (/ 108.0 841.0))

simplify896.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1919
1	463
0	179

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 841.0 (/ 108.0 x))
0.3b	(/ 841.0 (/ 108.0 x))
0.3b	(/ 841.0 (/ 108.0 x))
19.8b	(/ (+ (pow (/ 841.0 (/ 108.0 x)) 3) (pow (/ 4.0 29.0) 3)) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

rewrite719.0ms

Algorithm

rewrite-expression-head

Rules

296×	`times-frac`
252×	`*-un-lft-identity`
148×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`associate-/r*`
36×	`distribute-lft-out`
32×	`unpow-prod-down` `cube-prod`
26×	`associate-/r/`
22×	`frac-add` `associate-/l*`
21×	`add-cbrt-cube` `add-exp-log`
16×	`frac-times` `associate-*r/` `div-inv`
10×	`cbrt-undiv` `div-exp` `associate-*l/`
6×	`flip3--` `frac-sub` `flip--`
4×	`pow1` `clear-num` `frac-2neg` `sum-cubes` `add-log-exp`
3×	`associate-/l/`
2×	`cube-div` `flip3-+` `flip-+`

Counts

4 → 303

Calls

4 calls:

7.0ms	(/ 841.0 (/ 108.0 x))
7.0ms	(/ 841.0 (/ 108.0 x))
7.0ms	(/ 841.0 (/ 108.0 x))
679.0ms	(/ (+ (pow (/ 841.0 (/ 108.0 x)) 3) (pow (/ 4.0 29.0) 3)) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 841.0 (/ 108.0 x))
20.0ms	(/ 841.0 (/ 108.0 x))
20.0ms	(/ 841.0 (/ 108.0 x))
238.0ms	(/ (+ (pow (/ 841.0 (/ 108.0 x)) 3) (pow (/ 4.0 29.0) 3)) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

simplify2.2s

Counts

315 → 315

Iterations

Iter	Nodes
done	5002
2	4825
1	984
0	353

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample441.0ms

Algorithm

intervals

Results

319.0ms	8009×	body	80	valid
0.0ms	2×	body	1280	valid