Details

sample95.0ms

Algorithm

intervals

Results

48.0ms

417×

body

valid

simplify2.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.2b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0b	(* (* (* z 4.0) t) a)
16.2b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite402.0ms

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:

33.0ms	(* (* x 9.0) y)
21.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
95.0ms	(* (* (* z 4.0) t) a)
250.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series517.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 9.0) y)
137.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
53.0ms	(* (* (* z 4.0) t) a)
299.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify1.2s

Counts: 89 → 89

prune412.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.3b	(/ (* a t) c)
7.2b	(/ b (* z c))
8.0b	(/ (* x y) (* z c))

rewrite92.0ms

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:

28.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ (* a t) c)
14.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

series151.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ (* a t) c)
27.0ms	(/ b (* z c))
34.0ms	(/ (* x y) (* z c))

simplify914.0ms

Counts: 104 → 104

prune386.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ a (/ c t))
7.2b	(/ b (* z c))
8.0b	(/ (* x y) (* z c))

rewrite74.0ms

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:

29.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ a (/ c t))
14.0ms	(/ b (* z c))
14.0ms	(/ (* x y) (* z c))

series155.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
30.0ms	(/ a (/ c t))
23.0ms	(/ b (* z c))
37.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts: 153 → 153

prune614.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* a t) c)
4.4b	(/ (* z c) y)
5.7b	(/ x (/ (* z c) y))
7.2b	(/ b (* z c))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

11.0ms	(/ (* a t) c)
14.0ms	(/ (* z c) y)
32.0ms	(/ x (/ (* z c) y))
16.0ms	(/ b (* z c))

series140.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* a t) c)
30.0ms	(/ (* z c) y)
43.0ms	(/ x (/ (* z c) y))
30.0ms	(/ b (* z c))

simplify855.0ms

Counts: 123 → 123

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

regimes1.2s

Accuracy

5.2% (10.3b remaining)

Error of 10.7b against oracle of 0.4b and baseline of 11.3b

bsearch605.0ms

Steps

Iters	Range		Point
5	6.2284567409941875e-52	1.753416409301173e-51	1.0158529383857503e-51
9	3.391517641375935e-136	2.221954828793878e-130	1.3173168518564656e-130
7	6.219941373760828e-224	6.625526089081364e-222	6.013601878928024e-223
7	-4.870736252204165e-152	-1.1695642508336114e-153	-6.830485081088785e-153
8	-8.667138481415634e-92	-2.0153667049322758e-94	-2.2265634071476013e-92
8	-1.1782708268075041e+36	-5.513496143112183e+32	-9.730614769270378e+32

simplify1.2s

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

12719×

body

valid