Details

sample93.0ms

Algorithm

intervals

Results

46.0ms

414×

body

valid

simplify111.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.7b	(* (* (* z 4.0) t) a)
12.9b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
20.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
57.0ms	(* (* (* z 4.0) t) a)
281.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series417.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
125.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
40.0ms	(* (* (* z 4.0) t) a)
230.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Counts: 89 → 89

prune380.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ (* a t) c)
4.2b	(/ b (* z c))
6.5b	(/ (* x y) (* z c))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

43.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
14.0ms	(/ b (* z c))
23.0ms	(/ (* x y) (* z c))

series195.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 9.0 (/ (* x y) (* z c)))
34.0ms	(/ (* a t) c)
33.0ms	(/ b (* z c))
54.0ms	(/ (* x y) (* z c))

simplify65.0ms

Counts: 104 → 104

prune430.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ b (* z c))
4.5b	(/ a (/ c t))
6.5b	(/ (* x y) (* z c))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(/ b (* z c))
23.0ms	(/ a (/ c t))
21.0ms	(/ (* x y) (* z c))

series162.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
27.0ms	(/ b (* z c))
23.0ms	(/ a (/ c t))
46.0ms	(/ (* x y) (* z c))

simplify88.0ms

Counts: 153 → 153

prune658.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* x y))
4.2b	(/ b (* z c))
4.5b	(/ a (/ c t))
6.5b	(/ (* 9.0 (* x y)) (* z c))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

79×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
11×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`div-inv` `associate-/l*`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `pow-prod-down` `clear-num`
1×	`associate-r` `associate-/r/` `*-commutative`

Counts

4 → 134

Calls

4 calls:

32.0ms	(* 9.0 (* x y))
8.0ms	(/ b (* z c))
9.0ms	(/ a (/ c t))
46.0ms	(/ (* 9.0 (* x y)) (* z c))

series155.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 9.0 (* x y))
34.0ms	(/ b (* z c))
36.0ms	(/ a (/ c t))
57.0ms	(/ (* 9.0 (* x y)) (* z c))

simplify82.0ms

Counts: 146 → 146

prune541.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

-1% (10.9b remaining)

Error of 11.0b against oracle of 0.2b and baseline of 10.9b

bsearch1.0ms

simplify396.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

12699×

body

valid