Details

sample32.0ms

Algorithm

intervals

Results

23.0ms

327×

body

valid

simplify56.0ms

Calls

1 calls:

Slowest

56.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize25.0ms

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)

rewrite67.0ms

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`

Calls

3 calls:

Slowest

44.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms	(/ (+ x 4) y)
9.0ms	(* (/ x y) z)

series146.0ms

Calls

3 calls:

Slowest

80.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms	(/ (+ x 4) y)
32.0ms	(* (/ x y) z)

simplify6.3s

Calls

115 calls:

Slowest

456.0ms	(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
278.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
277.0ms	(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
269.0ms	(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))
267.0ms	(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

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))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

152.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
20.0ms	(* (/ x y) z)
12.0ms	(+ (/ x y) (/ 4 y))

series134.0ms

Calls

3 calls:

Slowest

56.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
46.0ms	(+ (/ x y) (/ 4 y))
32.0ms	(* (/ x y) z)

simplify5.7s

Calls

86 calls:

Slowest

515.0ms	(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
421.0ms	(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
383.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
368.0ms	(fma (/ 1 (* (cbrt y) (cbrt y))) (+ (/ x (cbrt y)) (/ 4 (cbrt y))) (- (* z (/ x y))))
327.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

1.0ms

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

series67.0ms

Calls

1 calls:

Slowest

67.0ms

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

simplify376.0ms

Calls

3 calls:

Slowest

147.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
115.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
113.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`

Calls

2 calls:

Slowest

10.0ms	(* (/ x y) z)
0.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))

series93.0ms

Calls

2 calls:

Slowest

69.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))
23.0ms	(* (/ x y) z)

simplify1.1s

Calls

29 calls:

Slowest

242.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
146.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
146.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
124.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
118.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))

prune630.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

87.3% (0.2b remaining)

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

bsearch136.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

10069×

body

valid