Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

357×

body

valid

simplify47.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
8.7b	(/ (- (* x y) (* z t)) a)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 42

Calls

2 calls:

9.0ms	(- (* x y) (* z t))
41.0ms	(/ (- (* x y) (* z t)) a)

series123.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* x y) (* z t))
70.0ms	(/ (- (* x y) (* z t)) a)

simplify1.2s

Counts: 48 → 48

prune157.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
8.7b	(/ (pow (- (* x y) (* z t)) 1) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
7×	`add-exp-log` `associate-/l*`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`div-exp` `associate-/r*`
2×	`pow1`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `flip--` `div-inv`

Counts

2 → 57

Calls

2 calls:

8.0ms	(- (* x y) (* z t))
31.0ms	(/ (pow (- (* x y) (* z t)) 1) a)

series124.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (* x y) (* z t))
58.0ms	(/ (pow (- (* x y) (* z t)) 1) a)

simplify1.6s

Counts: 63 → 63

prune177.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
8.8b	(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`add-exp-log`
15×	`times-frac`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`prod-exp`
11×	`add-cube-cbrt`
9×	`unswap-sqr`
7×	`associate-l` `add-cbrt-cube`
6×	`unpow-prod-down` `div-exp`
4×	`pow-to-exp` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow1` `rec-exp` `1-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `div-inv`

Counts

2 → 66

Calls

2 calls:

16.0ms	(- (* x y) (* z t))
79.0ms	(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

series158.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(- (* x y) (* z t))
81.0ms	(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

simplify721.0ms

Counts: 72 → 72

prune269.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* z t))
0.5b	(/ (pow 1 1) (/ a (- (* x y) (* z t))))
8.6b	(/ a (- (* x y) (* z t)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
99×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`unpow-prod-down`
21×	`add-exp-log`
19×	`associate-/r/`
18×	`associate-/r*`
16×	`sqr-pow`
13×	`div-exp`
10×	`flip3--` `add-cbrt-cube` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-exp`
3×	`pow1`
2×	`pow-to-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 189

Calls

3 calls:

14.0ms	(- (* x y) (* z t))
49.0ms	(/ (pow 1 1) (/ a (- (* x y) (* z t))))
27.0ms	(/ a (- (* x y) (* z t)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x y) (* z t))
126.0ms	(/ (pow 1 1) (/ a (- (* x y) (* z t))))
56.0ms	(/ a (- (* x y) (* z t)))

simplify1.1s

Counts: 198 → 198

prune462.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

regimes636.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.4b and baseline of 7.8b

bsearch0.0ms

simplify1.7s

end0.0ms

sample1.6s

Algorithm

intervals

Results

701.0ms

11234×

body

valid