Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

267×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	50	15
4	60	15
5	64	15
done	64	15

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize14.0ms

Local error

Found 3 expressions with local error:

2.9b	(fma (/ y t) z x)
3.0b	(fma (/ y t) b a)
9.9b	(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*` `distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-/r/` `fma-udef`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
0.0ms	(fma (/ y t) b a)
6.0ms	(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

series507.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (/ y t) z x)
44.0ms	(fma (/ y t) b a)
423.0ms	(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

simplify599.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	90	1058
1	169	1023
2	477	951
3	1463	951
done	5001	951

prune222.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (+ 1.0 (fma (/ y t) b a)))
2.9b	(fma (/ y t) z x)
3.0b	(fma (/ y t) b a)
9.9b	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 102

Calls

4 calls:

6.0ms	(/ 1 (+ 1.0 (fma (/ y t) b a)))
0.0ms	(fma (/ y t) z x)
0.0ms	(fma (/ y t) b a)
17.0ms	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ 1 (+ 1.0 (fma (/ y t) b a)))
44.0ms	(fma (/ y t) z x)
40.0ms	(fma (/ y t) b a)
431.0ms	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

simplify525.0ms

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	129	1750
1	281	1592
2	989	1398