Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ 4.0 29.0) (* (/ 841.0 108.0) x))
20.0ms	(* (/ 841.0 108.0) x)

simplify759.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1075
1	246
0	97

prune234.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 4.0 29.0) (* 1 (/ (* 841.0 x) 108.0)))
0.3b	(/ (* 841.0 x) 108.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
5×	`*-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` `associate-r/` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

2 → 34

Calls

2 calls:

31.0ms	(+ (/ 4.0 29.0) (* 1 (/ (* 841.0 x) 108.0)))
13.0ms	(/ (* 841.0 x) 108.0)

series106.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (/ 4.0 29.0) (* 1 (/ (* 841.0 x) 108.0)))
31.0ms	(/ (* 841.0 x) 108.0)

simplify1.8s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
2	1513
1	235
0	84

prune197.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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:

87.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
8.0ms	(/ x (/ 108.0 841.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
21.0ms	(/ x (/ 108.0 841.0))

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1919
1	463
0	179

prune466.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

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))

rewrite80.0ms

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:

9.0ms	(+ (* (/ 108.0 841.0) 4.0) (* x 29.0))
68.0ms	(/ (+ (* (/ 108.0 841.0) 4.0) (* x 29.0)) (/ (* 29.0 108.0) 841.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* (/ 108.0 841.0) 4.0) (* x 29.0))
86.0ms	(/ (+ (* (/ 108.0 841.0) 4.0) (* x 29.0)) (/ (* 29.0 108.0) 841.0))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1938
1	407
0	141

prune396.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample578.0ms

Algorithm

intervals

Results

407.0ms	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