Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

326×

body

valid

simplify35.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

35.0ms

(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize29.0ms

Local error

Found 1 expressions with local error:

9.9b	(/ (* a1 a2) (* b1 b2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

Slowest

17.0ms

(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts

13 → 27

Calls

13 calls:

Slowest

828.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
677.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
666.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
552.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
125.0ms	(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

6.4b	(/ (/ (* a1 a2) b1) b2)
4.7b	(/ (* a1 a2) b1)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

Slowest

14.0ms	(/ (* a1 a2) b1)
10.0ms	(/ (/ (* a1 a2) b1) b2)

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

47.0ms	(/ (/ (* a1 a2) b1) b2)
33.0ms	(/ (* a1 a2) b1)

simplify3.7s

Counts

75 → 81

Calls

75 calls:

Slowest

399.0ms	(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
356.0ms	(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
245.0ms	(- (log (/ (* a1 a2) b1)) (log b2))
199.0ms	(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
184.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1))

prune798.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

6.4b	(/ (* a1 (/ a2 b1)) b2)
4.0b	(* a1 (/ a2 b1))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l` `associate-/l/`

Counts

2 → 62

Calls

2 calls:

Slowest

22.0ms	(* a1 (/ a2 b1))
21.0ms	(/ (* a1 (/ a2 b1)) b2)

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(/ (* a1 (/ a2 b1)) b2)
23.0ms	(* a1 (/ a2 b1))

simplify2.2s

Counts

45 → 68

Calls

45 calls:

Slowest

279.0ms	(- (+ (log a1) (- (log a2) (log b1))) (log b2))
264.0ms	(/ (* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* b1 b1) b1))) (* (* b2 b2) b2))
243.0ms	(/ (* (* (* a1 (/ a2 b1)) (* a1 (/ a2 b1))) (* a1 (/ a2 b1))) (* (* b2 b2) b2))
234.0ms	(* (* (* a1 a1) a1) (* (* (/ a2 b1) (/ a2 b1)) (/ a2 b1)))
201.0ms	(- (+ (log a1) (log (/ a2 b1))) (log b2))

prune745.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

6.5b	(* (/ (* a1 a2) b1) (/ 1 b2))
4.7b	(/ (* a1 a2) b1)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

Slowest

41.0ms	(* (/ (* a1 a2) b1) (/ 1 b2))
17.0ms	(/ (* a1 a2) b1)

series72.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(* (/ (* a1 a2) b1) (/ 1 b2))
24.0ms	(/ (* a1 a2) b1)

simplify7.0s

Counts

65 → 87

Calls

65 calls:

Slowest

569.0ms	(+ (- (log (* a1 a2)) (log b1)) (- (log 1) (log b2)))
409.0ms	(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
407.0ms	(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* (/ 1 b2) (/ 1 b2)) (/ 1 b2)))
394.0ms	(+ (- (log (* a1 a2)) (log b1)) (log (/ 1 b2)))
381.0ms	(* (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* (/ 1 b2) (/ 1 b2)) (/ 1 b2)))

prune893.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes522.0ms

Accuracy

33.6% (7.0b remaining)

Error of 7.0b against oracle of 0.0b and baseline of 10.6b

bsearch5.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

812.0ms

9944×

body

valid