Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

257×

body

valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

24.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
21.0ms	(* (/ 841.0 108.0) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
29.0ms	(* (/ 841.0 108.0) x)

simplify64.0ms

Counts: 50 → 50

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 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))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

26.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
22.0ms	(* 841.0 (/ x 108.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
20.0ms	(* 841.0 (/ x 108.0))

simplify62.0ms

Counts: 50 → 50

prune122.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 142

Calls

3 calls:

63.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
35.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
82.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series589.0ms

Counts

3 → 9

Calls

3 calls:

287.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
109.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
193.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify66.0ms

Counts: 151 → 151

prune373.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0))
0.1b	(/ (+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0)) (* 29.0 108.0))
0.3b	(* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0)
0.3b	(* (sqrt 841.0) (* (sqrt 841.0) x))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

75.0ms	(+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0))
267.0ms	(/ (+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0)) (* 29.0 108.0))
105.0ms	(* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0)
43.0ms	(* (sqrt 841.0) (* (sqrt 841.0) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

284.0ms	(+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0))
641.0ms	(/ (+ (* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0) (* (* (sqrt 108.0) (sqrt 108.0)) 4.0)) (* 29.0 108.0))
138.0ms	(* (* (sqrt 841.0) (* (sqrt 841.0) x)) 29.0)
113.0ms	(* (sqrt 841.0) (* (sqrt 841.0) x))

simplify78.0ms

Counts: 88 → 88

prune215.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample528.0ms

Algorithm

intervals

Results

351.0ms	8011×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid