Details

sample44.0ms

Algorithm

intervals

Results

17.0ms

327×

body

valid

simplify44.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize13.0ms

Local error

Found 1 expressions with local error:

11.5b

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

16.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify442.0ms

Counts: 24 → 24

prune58.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

7.8b	(* (/ a1 b1) (/ a2 b2))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

45.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify664.0ms

Counts: 53 → 53

prune185.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

3.7b	(* a1 (/ a2 b2))
5.2b	(/ (* a1 (/ a2 b2)) b1)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

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

series69.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* a1 (/ a2 b2))
43.0ms	(/ (* a1 (/ a2 b2)) b1)

simplify621.0ms

Counts: 62 → 62

prune186.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

4.4b	(/ (/ a2 b2) b1)
6.0b	(* a1 (/ (/ a2 b2) b1))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 135

Calls

2 calls:

20.0ms	(/ (/ a2 b2) b1)
28.0ms	(* a1 (/ (/ a2 b2) b1))

series58.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (/ a2 b2) b1)
36.0ms	(* a1 (/ (/ a2 b2) b1))

simplify1.0s

Counts: 141 → 141

prune461.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes641.0ms

Accuracy

-8.8% (11.8b remaining)

Error of 11.8b against oracle of 0.0b and baseline of 10.9b

bsearch3.0ms

simplify5.2s

end0.0ms

sample1.0s

Algorithm

intervals

Results

420.0ms

10006×

body

valid