Details

sample44.0ms

Algorithm

intervals

Results

29.0ms

313×

body

valid

simplify60.0ms

Calls

1 calls:

Slowest

60.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize29.0ms

Local error

Found 1 expressions with local error:

11.6b

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
131×	`add-sqr-sqrt`
79×	`*-un-lft-identity` `add-cube-cbrt`
78×	`associate-r` `associate-l`
26×	`*-commutative` `unswap-sqr`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

30.0ms

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

series36.0ms

Calls

1 calls:

Slowest

36.0ms

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

simplify13.5s

Calls

316 calls:

Slowest

952.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
851.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
784.0ms	(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
702.0ms	(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
337.0ms	(/ (* a1 (* (cbrt a2) (cbrt a2))) (* (sqrt b1) (sqrt b2)))

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1)
0.7b	(* (/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1) (/ (cbrt a2) (cbrt b2)))
0.6b	(cbrt a2)
0.6b	(cbrt a2)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

9660×	`frac-times`
9647×	`add-sqr-sqrt`
8754×	`cbrt-prod`
7781×	`associate-/l*`
5655×	`associate-/r*`
5261×	`*-un-lft-identity`
5260×	`add-cube-cbrt`
4724×	`associate-*l/`
4335×	`associate-/l/`
4067×	`times-frac`
2228×	`associate-l`
1815×	`unswap-sqr`
1328×	`associate-r`
952×	`clear-num`
951×	`frac-2neg`
871×	`add-cbrt-cube`
578×	`cbrt-undiv`
490×	`cbrt-unprod`
270×	`associate-*r/`
117×	`add-exp-log`
49×	`div-inv`
47×	`*-commutative`
46×	`prod-exp`
44×	`div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `un-div-inv`
1×	`pow-prod-down`

Calls

4 calls:

Slowest

477.0ms	(* (/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1) (/ (cbrt a2) (cbrt b2)))
150.0ms	(/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1)
1.0ms	(cbrt a2)
1.0ms	(cbrt a2)

series840.0ms

Calls

4 calls:

Slowest

298.0ms	(cbrt a2)
289.0ms	(cbrt a2)
213.0ms	(/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1)
39.0ms	(* (/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1) (/ (cbrt a2) (cbrt b2)))