Details

sample51.0ms

Algorithm

intervals

Results

39.0ms

327×

body

valid

simplify78.0ms

Calls

1 calls:

Slowest

78.0ms

(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 3 expressions with local error:

2.6b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`fma-neg` `associate-l` `prod-diff` `div-inv`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate-l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

3 calls:

Slowest

12.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
6.0ms	(/ (+ x 4) y)
3.0ms	(* (/ x y) z)

series142.0ms

Calls

3 calls:

Slowest

56.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
45.0ms	(* (/ x y) z)
41.0ms	(/ (+ x 4) y)

simplify1.5s

Calls

31 calls:

Slowest

199.0ms	(- (* (+ x 4) y) (* y (* x z)))
184.0ms	(fma (+ x 4) (/ 1 y) (- (* z (/ x y))))
129.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
127.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
119.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune633.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

2.6b	(* (/ x y) z)
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4 y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

57.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
8.0ms	(+ (/ x y) (/ 4 y))
5.0ms	(* (/ x y) z)

series128.0ms

Calls

3 calls:

Slowest

46.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
41.0ms	(* (/ x y) z)
41.0ms	(+ (/ x y) (/ 4 y))

simplify3.1s

Calls

42 calls:

Slowest

371.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
371.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
209.0ms	(fma 1 (+ (/ x y) (/ 4 y)) (- (* z (/ x y))))
203.0ms	(fma (/ 1 y) (+ x 4) (- (* z (/ x y))))
184.0ms	(fma 1 (+ (/ x y) (/ 4 y)) (- (* z (/ x y))))

prune768.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

1.6b	(fma (/ x y) (- 1 z) (/ 4 y))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(fma (/ x y) (- 1 z) (/ 4 y))

series39.0ms

Calls

1 calls:

Slowest

39.0ms

(fma (/ x y) (- 1 z) (/ 4 y))

simplify354.0ms

Calls

3 calls:

Slowest

132.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
111.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
111.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

2.6b	(* (/ x y) z)
0.1b	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-l`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-l/` `-commutative` `fma-udef` `div-inv`

Calls

2 calls:

Slowest

3.0ms	(* (/ x y) z)
0.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))

series80.0ms

Calls

2 calls:

Slowest

57.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))
23.0ms	(* (/ x y) z)

simplify857.0ms

Calls

9 calls:

Slowest

548.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
150.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
102.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
13.0ms	(/ (* x z) y)
10.0ms	(/ (* x z) y)

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

87.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch120.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

10069×

body

valid