Details

sample42.0ms

Algorithm

intervals

Results

29.0ms

323×

body

valid

simplify59.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

59.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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` `add-log-exp`
3×	`associate-r` `associate-*l/`
2×	`prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `div-inv` `flip--` `sub-div`

Counts

2 → 48

Calls

2 calls:

Slowest

63.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
19.0ms	(* (/ x y) z)

series102.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

63.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
39.0ms	(* (/ x y) z)

simplify1.6s

Counts

33 → 54

Calls

33 calls:

Slowest

308.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
222.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
183.0ms	(- (* (+ x 4) y) (* y (* x z)))
150.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))
116.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune853.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (- (+ x 4) (* x z)) y)
0.0b	(- (+ x 4) (* x z))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

Slowest

89.0ms	(/ (- (+ x 4) (* x z)) y)
28.0ms	(- (+ x 4) (* x z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(/ (- (+ x 4) (* x z)) y)
23.0ms	(- (+ x 4) (* x z))

simplify2.8s

Counts

35 → 52

Calls

35 calls:

Slowest

315.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
229.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
149.0ms	(/ (- (+ x 4) (* x z)) (sqrt y))
119.0ms	(/ (- (+ x 4) (* x z)) y)
113.0ms	(/ (exp (+ x 4)) (exp (* x z)))

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

1.1b	(* (- (+ x 4) (* x z)) (/ 1 y))
0.0b	(- (+ x 4) (* x z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `prod-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `diff-log` `div-exp` `associate-*l/` `cbrt-unprod` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `sum-log` `sub-neg` `1-exp` `pow-prod-down` `associate--l+` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 56

Calls

2 calls:

Slowest

83.0ms	(* (- (+ x 4) (* x z)) (/ 1 y))
31.0ms	(- (+ x 4) (* x z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

68.0ms	(* (- (+ x 4) (* x z)) (/ 1 y))
37.0ms	(- (+ x 4) (* x z))

simplify4.2s

Counts

42 → 62

Calls

42 calls:

Slowest

533.0ms	(* (+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z)))) y)
510.0ms	(* (- (* (+ x 4) (+ x 4)) (* (* x z) (* x z))) (/ 1 y))
349.0ms	(* (- (+ x 4) (* x z)) (/ 1 y))
279.0ms	(* (- (* (+ x 4) (+ x 4)) (* (* x z) (* x z))) 1)
198.0ms	(* (* (* (- (+ x 4) (* x z)) (- (+ x 4) (* x z))) (- (+ x 4) (* x z))) (/ (* (* 1 1) 1) (* (* y y) y)))

prune732.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (/ x y) (* (cbrt z) (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
12×	`add-cbrt-cube`
10×	`times-frac`
9×	`cbrt-prod` `pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

33.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

312.0ms	(cbrt z)
309.0ms	(cbrt z)
292.0ms	(cbrt z)
150.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify3.2s

Counts

48 → 84

Calls

48 calls:

Slowest

642.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z))))
590.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* z z))
237.0ms	(* (/ (* x (pow (cbrt -1) 2)) y) (pow (pow z 2) 1/3))
187.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z))))
162.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* z z))

prune913.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch4.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

10085×

body

valid