Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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))
34.0ms	(* (/ 841.0 108.0) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
25.0ms	(* (/ 841.0 108.0) x)

simplify6.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5004
3	2954
2	785
1	247
0	99

prune493.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

35.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
48.0ms	(* 841.0 (/ x 108.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
19.0ms	(* 841.0 (/ x 108.0))

simplify6.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5008
3	3025
2	784
1	261
0	101

prune581.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize56.0ms

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)

rewrite96.0ms

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:

71.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
22.0ms	(/ (* 841.0 x) 108.0)

series112.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
36.0ms	(/ (* 841.0 x) 108.0)

simplify5.4s

Counts

42 → 42

Iterations

Iter	Nodes
done	5204
3	3128
2	732
1	211
0	81

prune372.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`*-un-lft-identity` `add-cube-cbrt`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`associate-r` `associate-*l/` `add-exp-log`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `add-cbrt-cube` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`frac-add` `associate-*r/`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `flip-+`

Counts

4 → 163

Calls

4 calls:

113.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
30.0ms	(* (cbrt (/ 841.0 108.0)) x)
106.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
47.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series340.0ms

Counts

4 → 10

Calls

4 calls:

152.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
72.0ms	(* (cbrt (/ 841.0 108.0)) x)
117.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify3.7s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1543
1	519
0	239

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes298.0ms

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

sample640.0ms

Algorithm

intervals

Results

481.0ms	8004×	body	80	valid
1.0ms	3×	body	1280	valid