Details

sample154.0ms

Algorithm

intervals

Results

16.0ms

339×

body

valid

simplify120.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) y)
0.2b	(* 0.5 (- (* x x) y))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

19.0ms	(- (* x x) y)
109.0ms	(* 0.5 (- (* x x) y))

series105.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x x) y)
73.0ms	(* 0.5 (- (* x x) y))

simplify1.5s

Counts: 44 → 44

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) y)
0.2b	(* 0.5 (/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y)))
2.1b	(+ (- (* y y)) (pow x 4))
27.2b	(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`distribute-lft-out`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `associate-/l*`
3×	`associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+l-` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `neg-log` `clear-num` `-commutative`

Counts

4 → 98

Calls

4 calls:

9.0ms	(+ (* x x) y)
83.0ms	(* 0.5 (/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y)))
23.0ms	(+ (- (* y y)) (pow x 4))
56.0ms	(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

series361.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x x) y)
158.0ms	(* 0.5 (/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y)))
60.0ms	(+ (- (* y y)) (pow x 4))
111.0ms	(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

simplify1.1s

Counts: 110 → 110

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt y))
0.1b	(* (* (/ 1.0 2.0) (+ x (sqrt y))) (- x (sqrt y)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-times`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
7×	`pow1` `add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`flip3--` `associate-r` `flip--`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `div-exp` `associate-l` `sum-log` `sqrt-prod` `*-commutative` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 56

Calls

2 calls:

13.0ms	(+ x (sqrt y))
68.0ms	(* (* (/ 1.0 2.0) (+ x (sqrt y))) (- x (sqrt y)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (sqrt y))
141.0ms	(* (* (/ 1.0 2.0) (+ x (sqrt y))) (- x (sqrt y)))

simplify1.3s

Counts: 62 → 62

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify101.0ms

end0.0ms

sample813.0ms

Algorithm

intervals

Results

421.0ms

10606×

body

valid