Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

318×

body

valid

simplify69.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

69.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize18.0ms

Local error

Found 1 expressions with local error:

10.3b

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

rewrite22.0ms

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

21.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

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

simplify3.7s

Counts

13 → 25

Calls

13 calls:

Slowest

1.2s	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
766.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
634.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
569.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
140.0ms	(- (+ (log a1) (log a2)) (log (* b1 b2)))

prune301.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

6.0b	(/ (/ (* a1 a2) b1) b2)
4.9b	(/ (* a1 a2) b1)

rewrite39.0ms

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

20.0ms	(/ (/ (* a1 a2) b1) b2)
17.0ms	(/ (* a1 a2) b1)

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

50.0ms	(/ (/ (* a1 a2) b1) b2)
40.0ms	(/ (* a1 a2) b1)

simplify3.8s

Counts

75 → 77

Calls

75 calls:

Slowest

390.0ms	(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
369.0ms	(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
229.0ms	(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
204.0ms	(- (- (log (* a1 a2)) (log b1)) (log b2))
204.0ms	(- (log (/ (* a1 a2) b1)) (log b2))

prune718.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

6.0b	(/ (/ a1 (/ b1 a2)) b2)
5.1b	(/ a1 (/ b1 a2))

rewrite24.0ms

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

Counts

2 → 268

Calls

2 calls:

Slowest

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(/ a1 (/ b1 a2))
34.0ms	(/ (/ a1 (/ b1 a2)) b2)

simplify32.3s

Counts

417 → 274

Calls

417 calls:

Slowest

504.0ms	(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
479.0ms	(/ (/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (* (cbrt b2) (cbrt b2)))
467.0ms	(/ (/ (sqrt a1) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) 1)
456.0ms	(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
385.0ms	(/ (/ (* (cbrt a1) (cbrt a1)) (/ (sqrt b1) (* (cbrt a2) (cbrt a2)))) 1)

prune2.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

6.0b	(/ (* (/ a1 b1) a2) b2)
3.9b	(* (/ a1 b1) a2)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

Slowest

23.0ms	(/ (* (/ a1 b1) a2) b2)
14.0ms	(* (/ a1 b1) a2)

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(/ (* (/ a1 b1) a2) b2)
26.0ms	(* (/ a1 b1) a2)

simplify2.9s

Counts

45 → 64

Calls

45 calls:

Slowest

796.0ms	(/ (* (* (* (/ a1 b1) a2) (* (/ a1 b1) a2)) (* (/ a1 b1) a2)) (* (* b2 b2) b2))
359.0ms	(/ (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (* (* b2 b2) b2))
240.0ms	(- (+ (- (log a1) (log b1)) (log a2)) (log b2))
230.0ms	(/ (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* a2 a2) a2)) (* (* b2 b2) b2))
214.0ms	(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* a2 a2) a2))

prune648.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes656.0ms

Accuracy

47.9% (5.5b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 10.7b

bsearch12.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

751.0ms

9974×

body

valid