Details

sample52.0ms

Algorithm

intervals

Results

33.0ms

294×

body

valid

simplify434.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

434.0ms

(* x (/ (* (/ y z) t) t))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize12.0ms

Local error

Found 1 expressions with local error:

6.1b	(* x (/ y z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

Slowest

17.0ms

(* x (/ y z))

series46.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

46.0ms

(* x (/ y z))

simplify719.0ms

Counts

27 → 38

Calls

27 calls:

Slowest

231.0ms	(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
123.0ms	(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
62.0ms	(+ (log x) (- (log y) (log z)))
59.0ms	(+ (log x) (log (/ y z)))
35.0ms	(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune380.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.3b	(/ (* x y) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

Slowest

15.0ms

(/ (* x y) z)

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

(/ (* x y) z)

simplify486.0ms

Counts

15 → 27

Calls

15 calls:

Slowest

161.0ms	(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
155.0ms	(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
47.0ms	(- (+ (log x) (log y)) (log z))
31.0ms	(- (log (* x y)) (log z))
24.0ms	(/ (* x y) z)

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

4.3b	(/ z (* x y))
0.5b	(/ 1 (/ z (* x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 83

Calls

2 calls:

Slowest

23.0ms	(/ 1 (/ z (* x y)))
13.0ms	(/ z (* x y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(/ z (* x y))
32.0ms	(/ 1 (/ z (* x y)))

simplify4.0s

Counts

80 → 89

Calls

80 calls:

Slowest

253.0ms	(/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y))))
218.0ms	(- 0 (- (log z) (+ (log x) (log y))))
210.0ms	(/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y)))
193.0ms	(- 0 (- (log z) (log (* x y))))
191.0ms	(/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x x) x) (* (* y y) y))))

prune919.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b	(* (/ 1 z) (* x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-r` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

Slowest

26.0ms

(* (/ 1 z) (* x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

37.0ms

(* (/ 1 z) (* x y))

simplify2.2s

Counts

29 → 43

Calls

29 calls:

Slowest

580.0ms	(* (* (* (/ 1 z) (/ 1 z)) (/ 1 z)) (* (* (* x x) x) (* (* y y) y)))
223.0ms	(* (/ (* (* 1 1) 1) (* (* z z) z)) (* (* (* x y) (* x y)) (* x y)))
202.0ms	(* (/ (* (* 1 1) 1) (* (* z z) z)) (* (* (* x x) x) (* (* y y) y)))
143.0ms	(+ (- 0 (log z)) (+ (log x) (log y)))
143.0ms	(* (* (* (/ 1 z) (/ 1 z)) (/ 1 z)) (* (* (* x y) (* x y)) (* x y)))

prune449.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes308.0ms

Accuracy

71.7% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 5.8b

bsearch9.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

9609×

body

valid