Details

sample58.0ms

Algorithm

intervals

Results

25.0ms

750×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	178
1	18	178
2	39	178
3	84	178
4	187	178
5	316	178
6	771	178
7	2849	178
done	5001	178

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`add-cbrt-cube` `add-exp-log`
13×	`-un-lft-identity` `times-frac` `associate-r*` `add-cube-cbrt`
5×	`pow1` `cbrt-undiv` `cosh-def` `div-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

3 → 74

Calls

3 calls:

1.0ms	(cosh x)
15.0ms	(* (cosh x) (/ y x))
11.0ms	(/ (* (cosh x) (/ y x)) z)

series343.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(cosh x)
118.0ms	(* (cosh x) (/ y x))
148.0ms	(/ (* (cosh x) (/ y x)) z)

simplify2.2s

Counts

83 → 83

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	156	19734
1	386	18116
2	1438	17041
done	5001	16801

prune465.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
0.0b	(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b	(/ 1/2 (exp x))
6.4b	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`add-exp-log`
13×	`associate-r` `associate-l`
6×	`pow1` `cbrt-undiv` `associate-/r` `div-exp` `associate-/l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

4 → 120

Calls

4 calls:

8.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
1.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
10.0ms	(/ 1/2 (exp x))
34.0ms	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

series368.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
40.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
11.0ms	(/ 1/2 (exp x))
220.0ms	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

simplify186.0ms

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	212	43219