Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

269×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	15	327
1	26	327
2	35	327
3	45	237
4	51	237
5	53	237
done	53	237

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize18.0ms

Local error

Found 3 expressions with local error:

1.7b	(fma (/ y t) b (+ a 1.0))
2.5b	(fma (/ y t) z x)
11.7b	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (/ y t) b (+ a 1.0))
0.0ms	(fma (/ y t) z x)
4.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series711.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma (/ y t) b (+ a 1.0))
49.0ms	(fma (/ y t) z x)
609.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify3.6s

Counts

58 → 58

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	77	15901
1	128	15553
2	325	15398
3	1002	15398
4	4233	15398
done	5000	15398

prune335.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (fma (/ y t) b (+ a 1.0)))
1.7b	(fma (/ y t) b (+ a 1.0))
2.5b	(fma (/ y t) z x)
11.6b	(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms	(fma (/ y t) b (+ a 1.0))
0.0ms	(fma (/ y t) z x)
17.0ms	(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series886.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ 1 (fma (/ y t) b (+ a 1.0)))
62.0ms	(fma (/ y t) b (+ a 1.0))
70.0ms	(fma (/ y t) z x)
559.0ms	(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify70.0ms

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	114	27994