Details

sample75.0ms

Algorithm

intervals

Results

33.0ms

414×

body

valid

simplify2.1s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize35.0ms

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)
5.8b	(* (* (* z 4.0) t) a)
14.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite384.0ms

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) (* (* (* z 4.0) t) a))
18.0ms	(* (* x 9.0) y)
64.0ms	(* (* (* z 4.0) t) a)
280.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series398.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms	(* (* x 9.0) y)
30.0ms	(* (* (* z 4.0) t) a)
241.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify1.1s

Counts: 89 → 89

prune364.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ (* a t) c)
6.2b	(/ b (* z c))
9.1b	(/ (* x y) (* z c))

rewrite90.0ms

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)))
21.0ms	(/ (* a t) c)
14.0ms	(/ b (* z c))
24.0ms	(/ (* x y) (* z c))

series152.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 9.0 (/ (* x y) (* z c)))
34.0ms	(/ (* a t) c)
31.0ms	(/ b (* z c))
32.0ms	(/ (* x y) (* z c))

simplify706.0ms

Counts: 104 → 104

prune325.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
6.2b	(/ b (* z c))
7.3b	(* a (/ t c))
9.1b	(/ (* x y) (* z c))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

50.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ b (* z c))
18.0ms	(* a (/ t c))
19.0ms	(/ (* x y) (* z c))

series169.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
36.0ms	(/ b (* z c))
30.0ms	(* a (/ t c))
37.0ms	(/ (* x y) (* z c))

simplify1.0s

Counts: 115 → 115

prune500.0ms

Pruning

10 alts after pruning (10 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)))
6.2b	(/ b (* z c))
7.7b	(/ a (/ c t))
9.1b	(/ (* x y) (* z c))

rewrite76.0ms

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:

32.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
16.0ms	(/ a (/ c t))
13.0ms	(/ (* x y) (* z c))

series130.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
25.0ms	(/ a (/ c t))
40.0ms	(/ (* x y) (* z c))

simplify1.0s

Counts: 153 → 153

prune512.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes885.0ms

Accuracy

2.8% (10.8b remaining)

Error of 10.9b against oracle of 0.1b and baseline of 11.2b

bsearch401.0ms

Steps

Iters	Range	Point
7	9.566779458991729e+98	2.410715571476494e+100	1.155843648897636e+99
10	-6.47084937644445e+45	-2.2149405557308244e+31	-2.0171647494107125e+39
10	-2.0734261744840796e+220	-3.6517217962046934e+204	-5.602555203160425e+206

Iters

Range

Point

9.566779458991729e+98

2.410715571476494e+100

1.155843648897636e+99

-6.47084937644445e+45

-2.2149405557308244e+31

-2.0171647494107125e+39

-2.0734261744840796e+220

-3.6517217962046934e+204

-5.602555203160425e+206

simplify1.1s

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

12754×

body

valid