Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

308×

body

valid

simplify6.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.5b	(* (/ x y) z)

rewrite163.0ms

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:

94.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms	(/ (+ x 4.0) y)
32.0ms	(* (/ x y) z)

series133.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
51.0ms	(/ (+ x 4.0) y)
28.0ms	(* (/ x y) z)

simplify112.0ms

Counts: 88 → 88

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
3.5b	(* (/ x y) z)

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

112×	`times-frac`
86×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`associate-l` `add-cbrt-cube`
12×	`distribute-lft-out`
9×	`associate-/r/`
8×	`div-exp`
6×	`pow1` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `flip-+`
3×	`associate-r` `associate-/l*`
2×	`rec-exp` `1-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

3 → 141

Calls

3 calls:

141.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
26.0ms	(/ 1 (/ y (+ x 4.0)))
21.0ms	(* (/ x y) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
33.0ms	(/ 1 (/ y (+ x 4.0)))
37.0ms	(* (/ x y) z)

simplify70.0ms

Counts: 150 → 150

prune594.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (/ x y) z)
11.5b	(cbrt (* (/ x y) z))
11.5b	(cbrt (* (/ x y) z))
11.5b	(cbrt (* (/ x y) z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 62

Calls

4 calls:

30.0ms	(* (/ x y) z)
7.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))
7.0ms	(cbrt (* (/ x y) z))

series385.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (/ x y) z)
115.0ms	(cbrt (* (/ x y) z))
108.0ms	(cbrt (* (/ x y) z))
126.0ms	(cbrt (* (/ x y) z))

simplify73.0ms

Counts: 74 → 74

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
2.9b	(/ (- (+ x 4.0) (* x z)) y)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

2 → 44

Calls

2 calls:

38.0ms	(- (+ x 4.0) (* x z))
129.0ms	(/ (- (+ x 4.0) (* x z)) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (+ x 4.0) (* x z))
77.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify66.0ms

Counts: 50 → 50

prune110.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

-99.1% (3.5b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 1.8b

bsearch147.0ms

Steps

Iters	Range		Point
9	7.022446444336052e+44	4.729030277683691e+49	2.9212638165055445e+46
10	-6.692825916927592e-44	-3.5452926870009963e-54	-2.2956787801108007e-49

simplify44.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

708.0ms

10072×

body

valid