Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify2.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) 2.0)
0.0b	(- (* (* x x) 2.0) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

24.0ms	(* (* x x) 2.0)
19.0ms	(- (* (* x x) 2.0) 1.0)

series86.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x x) 2.0)
57.0ms	(- (* (* x x) 2.0) 1.0)

simplify63.0ms

Counts: 37 → 37

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x (sqrt 2.0)) (* x (sqrt 2.0))) 1.0)
0.4b	(* (* x (sqrt 2.0)) (* x (sqrt 2.0)))
0.4b	(* x (sqrt 2.0))
0.4b	(* x (sqrt 2.0))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt` `pow-prod-down`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `sub-neg` `flip3--` `diff-log` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

41.0ms	(- (* (* x (sqrt 2.0)) (* x (sqrt 2.0))) 1.0)
40.0ms	(* (* x (sqrt 2.0)) (* x (sqrt 2.0)))
9.0ms	(* x (sqrt 2.0))
10.0ms	(* x (sqrt 2.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* (* x (sqrt 2.0)) (* x (sqrt 2.0))) 1.0)
75.0ms	(* (* x (sqrt 2.0)) (* x (sqrt 2.0)))
46.0ms	(* x (sqrt 2.0))
43.0ms	(* x (sqrt 2.0))

simplify161.0ms

Counts: 103 → 103

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) 2.0) 1.0)
0.0b	(* (* x x) 2.0)
0.0b	(* (* (pow x 4) 2.0) 2.0)
12.0b	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`prod-exp`
9×	`times-frac`
6×	`associate-r` `cbrt-unprod` `add-log-exp`
4×	`pow-prod-down`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `pow-to-exp` `associate-+l-` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

19.0ms	(+ (* (* x x) 2.0) 1.0)
19.0ms	(* (* x x) 2.0)
21.0ms	(* (* (pow x 4) 2.0) 2.0)
61.0ms	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

series280.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* (* x x) 2.0) 1.0)
26.0ms	(* (* x x) 2.0)
38.0ms	(* (* (pow x 4) 2.0) 2.0)
163.0ms	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify59.0ms

Counts: 93 → 93

prune199.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (* (* x x) 2.0) 1.0))
0.2b	(cbrt (+ (* (* x x) 2.0) 1.0))
2.3b	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))
9.6b	(* (/ 1 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
51×	`add-exp-log` `times-frac`
39×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`cbrt-prod`
24×	`associate-r`
20×	`cbrt-div` `prod-exp`
19×	`add-cbrt-cube`
16×	`div-exp`
15×	`associate-l`
12×	`associate-/r/`
11×	`flip3-+` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-undiv` `cbrt-unprod`
6×	`pow1` `associate-/r*`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-r/` `associate-l/` `div-inv` `associate-/l*`
2×	`pow1/3` `associate-/l/`
1×	`neg-sub0` `associate-+l-` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative`

Counts

4 → 150

Calls

4 calls:

15.0ms	(cbrt (+ (* (* x x) 2.0) 1.0))
15.0ms	(cbrt (+ (* (* x x) 2.0) 1.0))
58.0ms	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))
389.0ms	(* (/ 1 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (+ (* (* x x) 2.0) 1.0))
205.0ms	(cbrt (+ (* (* x x) 2.0) 1.0))
323.0ms	(/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))
164.0ms	(* (/ 1 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ (+ (- (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))

simplify120.0ms

Counts: 162 → 162

prune549.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample459.0ms

Algorithm

intervals

Results

273.0ms

10717×

body

valid