Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

304×

body

valid

simplify57.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.7b	(* (/ x y) z)

rewrite113.0ms

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:

51.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
34.0ms	(/ (+ x 4.0) y)
25.0ms	(* (/ x y) z)

series129.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
36.0ms	(/ (+ x 4.0) y)
27.0ms	(* (/ x y) z)

simplify589.0ms

Counts: 88 → 88

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
3.7b	(* (/ x y) z)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
104×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
13×	`associate-l`
11×	`associate-/r/`
9×	`div-exp`
7×	`pow1` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `flip-+`
3×	`associate-r`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

4 → 174

Calls

4 calls:

11.0ms	(/ y (+ x 4.0))
117.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
35.0ms	(/ 1 (/ y (+ x 4.0)))
26.0ms	(* (/ x y) z)

series184.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ y (+ x 4.0))
72.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
34.0ms	(/ 1 (/ y (+ x 4.0)))
27.0ms	(* (/ x y) z)

simplify1.3s

Counts: 186 → 186

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b	(* (+ x 4.0) (/ 1 y))
3.7b	(* (/ x y) z)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`add-exp-log` `associate-l`
16×	`associate-r`
13×	`associate-*l/` `add-cbrt-cube`
7×	`pow1`
6×	`prod-exp` `frac-sub`
5×	`add-log-exp` `unswap-sqr`
4×	`frac-times` `flip3-+` `cbrt-unprod` `flip-+`
3×	`associate-*r/` `div-exp` `un-div-inv`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv` `sub-div`
1×	`sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `flip--` `distribute-lft-out`

Counts

3 → 93

Calls

3 calls:

21.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
33.0ms	(* (+ x 4.0) (/ 1 y))
15.0ms	(* (/ x y) z)

series118.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
33.0ms	(* (+ x 4.0) (/ 1 y))
28.0ms	(* (/ x y) z)

simplify940.0ms

Counts: 102 → 102

prune298.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
7.8b	(cbrt (/ x y))
7.8b	(cbrt (/ x y))
7.8b	(cbrt (/ x y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

40.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
3.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
73.0ms	(cbrt (/ x y))
99.0ms	(cbrt (/ x y))
92.0ms	(cbrt (/ x y))

simplify1.1s

Counts: 156 → 156

prune606.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

-128.6% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 1.6b

bsearch69.0ms

Steps

Iters	Range		Point
7	84517967325.35463	1810750790637.4219	214190368136.35208
5	-2.294626366488831e+97	-1.033466382081211e+97	-1.1091102582946148e+97

simplify452.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

602.0ms

10019×

body

valid