Details

sample65.0ms

Algorithm

intervals

Results

44.0ms

335×

body

valid

simplify119.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize36.0ms

Local error

Found 3 expressions with local error:

2.8b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 120

Calls

3 calls:

Slowest

35.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
15.0ms	(/ (+ x 4) y)
10.0ms	(* (/ x y) z)

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
52.0ms	(/ (+ x 4) y)
39.0ms	(* (/ x y) z)

simplify1.5s

Counts: 129 → 129

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

2.8b	(* z (/ x y))
0.0b	(- (/ x y) (* z (/ x y)))
0.0b	(+ (/ 4 y) (- (/ x y) (* z (/ x y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
26×	`prod-diff`
15×	`associate-+r+`
13×	`fma-def` `fma-neg` `associate-r`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-*r/` `div-inv`
4×	`frac-add`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `sub-div` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 129

Calls

3 calls:

Slowest

29.0ms	(+ (/ 4 y) (- (/ x y) (* z (/ x y))))
23.0ms	(- (/ x y) (* z (/ x y)))
19.0ms	(* z (/ x y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(+ (/ 4 y) (- (/ x y) (* z (/ x y))))
51.0ms	(- (/ x y) (* z (/ x y)))
38.0ms	(* z (/ x y))

simplify2.3s

Counts: 138 → 138

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

2.7b	(* (- 1 z) (/ x y))
0.0b	(+ (/ 4 y) (* (- 1 z) (/ x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
17×	`add-cube-cbrt`
13×	`fma-def` `associate-r`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l`
5×	`frac-add`
4×	`frac-times` `pow1` `flip3--` `associate-*l/` `flip--` `add-log-exp`
2×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out--`

Counts

2 → 74

Calls

2 calls:

Slowest

19.0ms	(* (- 1 z) (/ x y))
12.0ms	(+ (/ 4 y) (* (- 1 z) (/ x y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

73.0ms	(+ (/ 4 y) (* (- 1 z) (/ x y)))
44.0ms	(* (- 1 z) (/ x y))

simplify1.7s

Counts: 80 → 80

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

2.2b	(/ (- x (* z x)) y)
0.0b	(- x (* z x))
0.0b	(+ (/ 4 y) (/ (- x (* z x)) y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
7×	`add-log-exp`
5×	`add-cbrt-cube` `distribute-rgt-out--` `add-exp-log`
4×	`div-inv` `distribute-lft-out` `associate-/l*`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `distribute-rgt-out` `diff-log` `div-exp` `frac-add` `flip-+`

Counts

3 → 93

Calls

3 calls:

Slowest

16.0ms	(/ (- x (* z x)) y)
15.0ms	(+ (/ 4 y) (/ (- x (* z x)) y))
7.0ms	(- x (* z x))

series151.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

52.0ms	(+ (/ 4 y) (/ (- x (* z x)) y))
52.0ms	(/ (- x (* z x)) y)
47.0ms	(- x (* z x))

simplify1.4s

Counts: 102 → 102

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes207.0ms

Accuracy

47.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch61.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

935.0ms

10023×

body

valid