Details

sample47.0ms

Algorithm

intervals

Results

31.0ms

312×

body

valid

simplify49.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

48.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

Slowest

11.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

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

simplify3.3s

Counts

13 → 25

Calls

13 calls:

Slowest

730.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
708.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
700.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
564.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
125.0ms	(- (log (* a1 a2)) (log (* b1 b2)))

prune294.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

4.7b	(/ (/ (* a1 a2) b1) b2)
3.8b	(/ (* a1 a2) b1)

rewrite20.0ms

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×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 71

Calls

2 calls:

Slowest

10.0ms	(/ (/ (* a1 a2) b1) b2)
8.0ms	(/ (* a1 a2) b1)

series70.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(/ (/ (* a1 a2) b1) b2)
22.0ms	(/ (* a1 a2) b1)

simplify3.7s

Counts

75 → 77

Calls

75 calls:

Slowest

411.0ms	(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
367.0ms	(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
216.0ms	(- (- (log (* a1 a2)) (log b1)) (log b2))
204.0ms	(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
197.0ms	(- (log (/ (* a1 a2) b1)) (log b2))

prune792.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

4.7b	(/ (/ (* a1 a2) b1) b2)
3.8b	(/ (* a1 a2) b1)

rewrite21.0ms

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×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 71

Calls

2 calls:

Slowest

10.0ms	(/ (/ (* a1 a2) b1) b2)
9.0ms	(/ (* a1 a2) b1)

series84.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

49.0ms	(/ (/ (* a1 a2) b1) b2)
34.0ms	(/ (* a1 a2) b1)

simplify3.4s

Counts

75 → 77

Calls

75 calls:

Slowest

355.0ms	(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
311.0ms	(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
246.0ms	(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
210.0ms	(- (log (/ (* a1 a2) b1)) (log b2))
205.0ms	(/ (* (* (/ (* a1 a2) b1) (/ (* a1 a2) b1)) (/ (* a1 a2) b1)) (* (* b2 b2) b2))

prune733.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

4.8b	(* (/ (* a1 a2) b1) (/ 1 b2))
3.8b	(/ (* a1 a2) b1)

rewrite36.0ms

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×	`insert-posit16` `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 → 77

Calls

2 calls:

Slowest

21.0ms	(* (/ (* a1 a2) b1) (/ 1 b2))
13.0ms	(/ (* a1 a2) b1)

series70.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(* (/ (* a1 a2) b1) (/ 1 b2))
22.0ms	(/ (* a1 a2) b1)

simplify7.1s

Counts

65 → 83

Calls

65 calls:

Slowest

571.0ms	(+ (- (log (* a1 a2)) (log b1)) (- (log 1) (log b2)))
540.0ms	(* (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
457.0ms	(+ (- (log (* a1 a2)) (log b1)) (log (/ 1 b2)))
434.0ms	(* (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
407.0ms	(* (/ (* a1 a2) b1) (/ 1 b2))

prune802.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes569.0ms

Accuracy

38% (6.7b remaining)

Error of 6.8b against oracle of 0.0b and baseline of 10.9b

bsearch13.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

846.0ms

9946×

body

valid