Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify31.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

18.0ms	(* 1.1283791670955126 (exp z))
19.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
41.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* 1.1283791670955126 (exp z))
88.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
102.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.8s

Counts: 68 → 68

prune352.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* 1.1283791670955126 (exp z)) 3))
0.0b	(pow (* 1.1283791670955126 (exp z)) 3)
0.6b	(- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y))
8.3b	(/ y (- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `add-cbrt-cube`
8×	`add-exp-log` `cbrt-prod`
7×	`pow1`
6×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-exp` `associate-/r/` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `pow1/3` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `div-inv`

Counts

4 → 80

Calls

4 calls:

13.0ms	(cbrt (pow (* 1.1283791670955126 (exp z)) 3))
18.0ms	(pow (* 1.1283791670955126 (exp z)) 3)
37.0ms	(- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y))
41.0ms	(/ y (- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (pow (* 1.1283791670955126 (exp z)) 3))
77.0ms	(pow (* 1.1283791670955126 (exp z)) 3)
88.0ms	(- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y))
121.0ms	(/ y (- (cbrt (pow (* 1.1283791670955126 (exp z)) 3)) (* x y)))

simplify657.0ms

Counts: 92 → 92

prune406.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

14.0ms	(* 1.1283791670955126 (exp z))
24.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
24.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
60.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series288.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
94.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
101.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.1s

Counts: 148 → 148

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `flip--` `inv-pow`

Counts

3 → 92

Calls

3 calls:

14.0ms	(/ (exp z) y)
34.0ms	(* 1.1283791670955126 (/ (exp z) y))
37.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (exp z) y)
41.0ms	(* 1.1283791670955126 (/ (exp z) y))
123.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

simplify622.0ms

Counts: 101 → 101

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify33.0ms

end0.0ms

sample881.0ms

Algorithm

intervals

Results

537.0ms

8000×

body

valid