Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

344×

body

valid

simplify55.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

21.0ms	(/ (+ x 4.0) y)
82.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms	(* (/ x y) z)

series114.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ x 4.0) y)
46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

simplify624.0ms

Counts: 88 → 88

prune253.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.6b	(* (/ (cbrt x) y) z)
3.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 109

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
40.0ms	(* (/ (cbrt x) y) z)
86.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series809.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
279.0ms	(cbrt x)
194.0ms	(* (/ (cbrt x) y) z)
66.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify882.0ms

Counts: 121 → 121

prune376.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

279×	`add-exp-log`
160×	`prod-exp`
101×	`add-cbrt-cube`
94×	`cbrt-unprod`
85×	`div-exp`
47×	`cbrt-undiv`
20×	`1-exp`
13×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l` `associate-*l/`
6×	`pow-prod-down`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`times-frac` `pow1/3`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
255.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
216.0ms	(cbrt x)
239.0ms	(cbrt x)
39.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

simplify1.4s

Counts: 151 → 151

prune344.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* 1 (* x (/ z y))))
5.8b	(* x (/ z y))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-*r/` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `distribute-lft-out--` `sub-div`

Counts

3 → 80

Calls

3 calls:

18.0ms	(/ (+ x 4.0) y)
79.0ms	(- (/ (+ x 4.0) y) (* 1 (* x (/ z y))))
18.0ms	(* x (/ z y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4.0) y)
46.0ms	(- (/ (+ x 4.0) y) (* 1 (* x (/ z y))))
24.0ms	(* x (/ z y))

simplify575.0ms

Counts: 89 → 89

prune276.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

-51% (3.3b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 2.2b

bsearch123.0ms

Steps

Iters	Range		Point
8	9.211536846229621e+58	2.0933905202156822e+62	9.321223284732019e+58
8	-9.562905144454558e+132	-7.065909207097609e+129	-7.629642207394974e+129

simplify4.8s

end0.0ms

sample1.0s

Algorithm

intervals

Results

637.0ms

10214×

body

valid