Details

sample83.0ms

Algorithm

intervals

Results

36.0ms

423×

body

valid

simplify1.9s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b	(* (* x 9.0) y)
5.9b	(* (* (* z 4.0) t) a)
16.8b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite363.0ms

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) (* (* (* z 4.0) t) a))
19.0ms	(* (* x 9.0) y)
82.0ms	(* (* (* z 4.0) t) a)
239.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series358.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms	(* (* x 9.0) y)
33.0ms	(* (* (* z 4.0) t) a)
218.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify1.0s

Counts: 89 → 89

prune261.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.6b	(/ (* a t) c)
7.2b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite80.0ms

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:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(/ (* a t) c)
8.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series160.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 9.0 (/ (* x y) (* z c)))
28.0ms	(/ (* a t) c)
30.0ms	(/ b (* z c))
43.0ms	(/ (* x y) (* z c))

simplify715.0ms

Counts: 104 → 104

prune355.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ a (/ c t))
7.2b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite63.0ms

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:

26.0ms	(* 9.0 (/ (* x y) (* z c)))
9.0ms	(/ a (/ c t))
8.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series151.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 9.0 (/ (* x y) (* z c)))
36.0ms	(/ a (/ c t))
22.0ms	(/ b (* z c))
35.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts: 153 → 153

prune674.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.1b	(* (/ a c) t)
7.2b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

32.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(* (/ a c) t)
14.0ms	(/ b (* z c))
22.0ms	(/ (* x y) (* z c))

series152.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 9.0 (/ (* x y) (* z c)))
29.0ms	(* (/ a c) t)
32.0ms	(/ b (* z c))
32.0ms	(/ (* x y) (* z c))

simplify955.0ms

Counts: 115 → 115

prune448.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes890.0ms

Accuracy

-97.1% (21.3b remaining)

Error of 21.9b against oracle of 0.6b and baseline of 11.4b

bsearch492.0ms

Steps

Iters	Range		Point
9	5.613152505814407e-44	4.4442700996122265e-38	5.006216764803239e-41
9	-1.2409064895122035e-43	-3.4719748114549314e-53	-1.8554615827904675e-49
8	-6.366674021074503e+209	-6.802617868898146e+205	-5.938891893988862e+208
3	-2.67708170305186e+231	-2.214224673641642e+231	-2.243153237979781e+231

simplify1.7s

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s

12629×

body

valid