Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

312×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	37	7
3	64	7
4	75	7
done	75	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize6.0ms

Local error

Found 1 expressions with local error:

9.3b	(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:

4.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify298.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	53	269
1	160	261
2	868	191
done	5000	191

prune49.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

9.0b	(* (/ a1 b1) (/ a2 b2))

rewrite14.0ms

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:

12.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify467.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	110	565
1	323	543
2	1302	471
done	5001	471

prune130.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.9b	(* a1 (/ a2 b2))
5.3b	(/ (* a1 (/ a2 b2)) b1)

rewrite13.0ms

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:

7.0ms	(* a1 (/ a2 b2))
5.0ms	(/ (* a1 (/ a2 b2)) b1)

series47.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* a1 (/ a2 b2))
27.0ms	(/ (* a1 (/ a2 b2)) b1)

simplify359.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	106	560
1	273	533
2	935	447
done	5000	447

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (* b1 b2))
8.9b	(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
28×	`add-cbrt-cube`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`associate-r`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `rec-exp` `*-un-lft-identity` `times-frac` `1-exp`
4×	`pow-prod-down`
3×	`associate-/l*`
2×	`pow-flip` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `associate-/r` `un-div-inv` `*-commutative` `inv-pow`

Counts

2 → 68

Calls

2 calls:

4.0ms	(/ 1 (* b1 b2))
15.0ms	(* (* a1 a2) (/ 1 (* b1 b2)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ 1 (* b1 b2))
28.0ms	(* (* a1 a2) (/ 1 (* b1 b2)))

simplify95.0ms

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	99	768
1	301	630