Details

sample51.0ms

Algorithm

intervals

Results

37.0ms

335×

body

valid

simplify78.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

78.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize25.0ms

Local error

Found 2 expressions with local error:

2.9b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite48.0ms

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

33.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

61.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

simplify1.4s

Counts

33 → 54

Calls

33 calls:

Slowest

218.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
188.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
176.0ms	(- (* (+ x 4) y) (* y (* x z)))
111.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))
109.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune548.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
0.9b	(* (/ (cbrt x) y) z)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`associate-l`
21×	`add-cbrt-cube`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`
1×	`associate-*r/` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

47.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
12.0ms	(* (/ (cbrt x) y) z)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series786.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(cbrt x)
253.0ms	(cbrt x)
155.0ms	(* (/ (cbrt x) y) z)
67.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))

simplify5.4s

Counts

70 → 107

Calls

70 calls:

Slowest

540.0ms	(* (* x x) (* (/ x (* (* y y) y)) (* (* z z) z)))
381.0ms	(* (pow (* x -1) 1/3) (/ (* (cbrt -1) z) y))
373.0ms	(+ (+ (log (cbrt x)) (log (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
370.0ms	(+ (log (* (cbrt x) (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
345.0ms	(+ (+ (log (cbrt x)) (log (cbrt x))) (+ (log (/ (cbrt x) y)) (log z)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

4.8b	(/ (* x z) y)
0.0b	(- (/ (+ x 4) y) (/ (* x z) y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cbrt-cube` `add-exp-log`
6×	`*-un-lft-identity`
4×	`times-frac` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `difference-of-squares`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `sub-div`

Counts

2 → 41

Calls

2 calls:

Slowest

64.0ms	(- (/ (+ x 4) y) (/ (* x z) y))
17.0ms	(/ (* x z) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

64.0ms	(- (/ (+ x 4) y) (/ (* x z) y))
22.0ms	(/ (* x z) y)

simplify1.4s

Counts

29 → 47

Calls

29 calls:

Slowest

195.0ms	(/ (* (* (* x z) (* x z)) (* x z)) (* (* y y) y))
157.0ms	(- (* (+ x 4) y) (* y (* x z)))
130.0ms	(/ (* (* (* x x) x) (* (* z z) z)) (* (* y y) y))
113.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
110.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune503.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

4.9b	(* (* x z) (/ 1 y))
0.0b	(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down` `associate-*r/` `un-div-inv`
2×	`cbrt-undiv` `rec-exp` `1-exp` `frac-sub` `insert-posit16` `div-inv` `sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 57

Calls

2 calls:

Slowest

63.0ms	(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))
22.0ms	(* (* x z) (/ 1 y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(- (/ (+ x 4) y) (* (* x z) (/ 1 y)))
25.0ms	(* (* x z) (/ 1 y))

simplify3.1s

Counts

42 → 63

Calls

42 calls:

Slowest

675.0ms	(* (* (* (* x x) x) (* (* z z) z)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y)))
249.0ms	(- (* (+ x 4) y) (* y (* (* x z) 1)))
193.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (* x z) (/ 1 y))))
191.0ms	(* (* (* (* x z) (* x z)) (* x z)) (/ (* (* 1 1) 1) (* (* y y) y)))
191.0ms	(* (* (* (* x x) x) (* (* z z) z)) (/ (* (* 1 1) 1) (* (* y y) y)))

prune651.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes346.0ms

Accuracy

94.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch5.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

10133×

body

valid