Details

sample64.0ms

Algorithm

intervals

Results

32.0ms

413×

body

valid

simplify124.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.7b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.3b	(* (* (* z 4.0) t) a)
15.1b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite296.0ms

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:

19.0ms	(* (* x 9.0) y)
19.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
55.0ms	(* (* (* z 4.0) t) a)
201.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series362.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
88.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
31.0ms	(* (* (* z 4.0) t) a)
221.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Counts: 89 → 89

prune271.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ b (* z c))
6.1b	(/ (* a t) c)
10.7b	(/ (* x y) (* z c))

rewrite65.0ms

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:

26.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(/ b (* z c))
10.0ms	(/ (* a t) c)
19.0ms	(/ (* x y) (* z c))

series123.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
21.0ms	(/ (* a t) c)
34.0ms	(/ (* x y) (* z c))

simplify50.0ms

Counts: 104 → 104

prune291.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ b (* z c))
4.5b	(/ (* z c) y)
4.8b	(/ x (/ (* z c) y))
6.1b	(/ (* a t) c)

rewrite47.0ms

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:

8.0ms	(/ b (* z c))
10.0ms	(/ (* z c) y)
16.0ms	(/ x (/ (* z c) y))
10.0ms	(/ (* a t) c)

series106.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ b (* z c))
21.0ms	(/ (* z c) y)
40.0ms	(/ x (/ (* z c) y))
22.0ms	(/ (* a t) c)

simplify51.0ms

Counts: 123 → 123

prune435.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ b (* z c))
4.5b	(/ (* z c) y)
4.8b	(/ x (/ (* z c) y))
5.2b	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

67×	`times-frac`
55×	`add-sqr-sqrt`
44×	`add-exp-log`
39×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-cbrt-cube`
22×	`associate-r`
16×	`cbrt-undiv` `div-exp`
11×	`cbrt-prod` `prod-exp` `associate-/r*` `cbrt-unprod`
9×	`div-inv`
7×	`associate-l` `associate-/l*`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 149

Calls

4 calls:

8.0ms	(/ b (* z c))
10.0ms	(/ (* z c) y)
10.0ms	(/ x (/ (* z c) y))
51.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ b (* z c))
21.0ms	(/ (* z c) y)
36.0ms	(/ x (/ (* z c) y))
56.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

simplify79.0ms

Counts: 161 → 161

prune621.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes827.0ms

Accuracy

8.1% (8.5b remaining)

Error of 8.6b against oracle of 0.1b and baseline of 9.4b

bsearch253.0ms

Steps

Iters	Range	Point
8	3.040258572445917e+26	1.8237259871436224e+29	5.492895832084551e+27
6	-2.2587712251416152e-248	-2.1799407199404163e-249	-5.217063799066552e-249
7	-1.2133572622138795e-99	-1.761181913791458e-101	-1.979804775080449e-100

Iters

Range

Point

3.040258572445917e+26

1.8237259871436224e+29

5.492895832084551e+27

-2.2587712251416152e-248

-2.1799407199404163e-249

-5.217063799066552e-249

-1.2133572622138795e-99

-1.761181913791458e-101

-1.979804775080449e-100

simplify2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

965.0ms

12806×

body

valid