Details

sample26.0ms

Algorithm

intervals

Results

14.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite48.0ms

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` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

28.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5008
3	3065
2	796
1	248
0	99

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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` `insert-posit16`
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 → 36

Calls

2 calls:

17.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
9.0ms	(/ (* 841.0 x) 108.0)

series85.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
29.0ms	(/ (* 841.0 x) 108.0)

simplify2.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5259
3	3237
2	731
1	212
0	81

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

14.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
9.0ms	(* 841.0 (/ x 108.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
20.0ms	(* 841.0 (/ x 108.0))

simplify1.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5005
3	3017
2	784
1	262
0	101

prune188.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.2b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
0.3b	(* (* 841.0 x) 29.0)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `associate-l` `-commutative` `div-inv`

Counts

3 → 55

Calls

3 calls:

24.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
63.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
23.0ms	(* (* 841.0 x) 29.0)

series161.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
87.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
26.0ms	(* (* 841.0 x) 29.0)

simplify2.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5623
3	4300
2	1016
1	296
0	108

prune226.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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

sample523.0ms

Algorithm

intervals

Results

415.0ms	8003×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid