Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

332×

body

valid

simplify56.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

56.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize17.0ms

Local error

Found 1 expressions with local error:

10.6b

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

rewrite13.0ms

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

13.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

35.0ms

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

simplify3.4s

Counts

13 → 27

Calls

13 calls:

Slowest

779.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
705.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
671.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
581.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
155.0ms	(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

5.6b	(/ (/ (* a1 a2) b1) b2)
4.9b	(/ (* 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

16.0ms	(/ (/ (* a1 a2) b1) b2)
9.0ms	(/ (* a1 a2) b1)

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(/ (/ (* a1 a2) b1) b2)
30.0ms	(/ (* a1 a2) b1)

simplify3.4s

Counts

75 → 81

Calls

75 calls:

Slowest

333.0ms	(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
299.0ms	(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
243.0ms	(- (log (/ (* a1 a2) b1)) (log b2))
216.0ms	(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
215.0ms	(- (- (log (* a1 a2)) (log b1)) (log b2))

prune918.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

5.6b	(/ (/ a1 (/ b1 a2)) b2)
4.1b	(/ a1 (/ b1 a2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
47×	`associate-/l*`
22×	`div-inv`
16×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 272

Calls

2 calls:

Slowest

20.0ms	(/ (/ a1 (/ b1 a2)) b2)
12.0ms	(/ a1 (/ b1 a2))

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

46.0ms	(/ a1 (/ b1 a2))
31.0ms	(/ (/ a1 (/ b1 a2)) b2)

simplify34.2s

Counts

417 → 278

Calls

417 calls:

Slowest

603.0ms	(/ (/ 1 (/ 1 (* (cbrt a2) (cbrt a2)))) (* (cbrt b2) (cbrt b2)))
570.0ms	(/ (/ (sqrt a1) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) 1)
535.0ms	(/ (/ (sqrt a1) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (* (cbrt b2) (cbrt b2)))
484.0ms	(/ (/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (* (cbrt b2) (cbrt b2)))
477.0ms	(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))

prune3.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

5.6b	(/ (/ 1 (/ (/ b1 a2) a1)) b2)
4.1b	(/ (/ b1 a2) a1)
0.2b	(/ 1 (/ (/ b1 a2) a1))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

2178×	`times-frac`
960×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
150×	`associate-/l*`
75×	`div-inv`
61×	`add-exp-log`
49×	`associate-/r*`
43×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
5×	`associate-/r/`
4×	`pow1`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 843

Calls

3 calls:

Slowest

20.0ms	(/ (/ 1 (/ (/ b1 a2) a1)) b2)
17.0ms	(/ 1 (/ (/ b1 a2) a1))
8.0ms	(/ (/ b1 a2) a1)

series95.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

44.0ms	(/ (/ 1 (/ (/ b1 a2) a1)) b2)
30.0ms	(/ 1 (/ (/ b1 a2) a1))
21.0ms	(/ (/ b1 a2) a1)

simplify3.8m

Counts

1369 → 852

Calls

1369 calls:

Slowest

991.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))) (* (cbrt a1) (cbrt a1)))) 1)
803.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt b1) (sqrt a2)) (* (cbrt a1) (cbrt a1)))) 1)
749.0ms	(/ (/ (sqrt 1) (/ (/ (cbrt b1) a2) a1)) (cbrt b2))
650.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))) (* (cbrt a1) (cbrt a1)))) (sqrt b2))
643.0ms	(/ (/ (cbrt 1) (/ (/ 1 a2) (cbrt a1))) (cbrt b2))

prune6.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes306.0ms

Accuracy

26.5% (5.2b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 7.2b

bsearch9.0ms

end0.0ms

sample860.0ms

Algorithm

intervals

Results

585.0ms

10013×

body

valid