Details

sample57.0ms

Algorithm

intervals

Results

41.0ms

325×

body

valid

simplify77.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

77.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 3 expressions with local error:

3.0b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite97.0ms

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

44.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
32.0ms	(/ (+ x 4) y)
20.0ms	(* (/ x y) z)

series116.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

52.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
35.0ms	(/ (+ x 4) y)
28.0ms	(* (/ x y) z)

simplify9.9s

Counts

162 → 129

Calls

162 calls:

Slowest

330.0ms	(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
322.0ms	(* (* (/ (+ x 4) y) (/ (+ x 4) y)) (/ (+ x 4) y))
293.0ms	(* (* (* (/ x y) z) (* (/ x y) z)) (* (/ x y) z))
292.0ms	(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
284.0ms	(- (* (+ x 4) y) (* y (* x z)))

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

3.0b	(* (/ x y) z)
0.0b	(+ (/ x y) (/ 4 y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))

rewrite170.0ms

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--`

Counts

3 → 104

Calls

3 calls:

Slowest

131.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
19.0ms	(+ (/ x y) (/ 4 y))
18.0ms	(* (/ x y) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

58.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
51.0ms	(+ (/ x y) (/ 4 y))
40.0ms	(* (/ x y) z)

simplify11.5s

Counts

116 → 113

Calls

116 calls:

Slowest

1.5s	(* (* (- (+ (/ x y) (/ 4 y)) (* (/ x y) z)) (- (+ (/ x y) (/ 4 y)) (* (/ x y) z))) (- (+ (/ x y) (/ 4 y)) (* (/ x y) z)))
548.0ms	(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
472.0ms	(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
471.0ms	(* (* (+ (/ x y) (/ 4 y)) (+ (/ x y) (/ 4 y))) (+ (/ x y) (/ 4 y)))
420.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.0b	(/ z (/ y x))
0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
64×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
22×	`cbrt-prod`
13×	`associate-/r*`
11×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

Slowest

8.0ms	(* (cbrt y) (cbrt y))
6.0ms	(/ z (/ y x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series829.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

278.0ms	(* (cbrt y) (cbrt y))
275.0ms	(cbrt y)
247.0ms	(cbrt y)
28.0ms	(/ z (/ y x))

simplify6.0s

Counts

208 → 156

Calls

208 calls:

Slowest

449.0ms	(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
357.0ms	(/ (* (* z z) z) (* (* (/ y x) (/ y x)) (/ y x)))
319.0ms	(* (* (/ z (/ y x)) (/ z (/ y x))) (/ z (/ y x)))
282.0ms	(/ (* (cbrt z) (cbrt z)) (/ 1 (* (cbrt x) (cbrt x))))
176.0ms	(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt y) (cbrt y)) 1))

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

3.1b	(/ (- (+ x 4) (* x z)) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

Slowest

66.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

81.0ms

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

simplify4.9s

Counts

47 → 36

Calls

47 calls:

Slowest

688.0ms	(* (* (/ (- (+ x 4) (* x z)) y) (/ (- (+ x 4) (* x z)) y)) (/ (- (+ x 4) (* x z)) y))
205.0ms	(/ (- (+ x 4) (* x z)) (* (cbrt y) (cbrt y)))
173.0ms	(* y (+ (+ x 4) (* x z)))
154.0ms	(/ (* (cbrt (- (+ x 4) (* x z))) (cbrt (- (+ x 4) (* x z)))) (* (cbrt y) (cbrt y)))
152.0ms	(log1p (/ (- (+ x 4) (* x z)) y))

prune311.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch120.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

10103×

body

valid