Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

287×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) t x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

27.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series180.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- y z) (- a z))
110.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune278.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.1b	(/ 1 (/ (- a z) (- y z)))
1.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

31.0ms	(/ (- a z) (- y z))
39.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series906.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- a z) (- y z))
200.0ms	(/ 1 (/ (- a z) (- y z)))
636.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.9s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	270	3746
1	605	3234
2	1379	2915
3	3739	2837
done	5000	2837

prune694.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- a z)) (/ 1 (- y z)))
1.5b	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

18.0ms	(/ 1 (- a z))
13.0ms	(/ 1 (- y z))
86.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
1.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

series551.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ 1 (- a z))
41.0ms	(/ 1 (- y z))
187.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
252.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

simplify2.4s

Counts

625 → 625

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	747	15040
1	2056	11198
2	3772	9964
done	5000	9962

prune882.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
4.0b	(cbrt (/ (- a z) (- y z)))
4.0b	(cbrt (/ (- a z) (- y z)))
4.0b	(cbrt (/ (- a z) (- y z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
15.0ms	(cbrt (/ (- a z) (- y z)))
20.0ms	(cbrt (/ (- a z) (- y z)))
20.0ms	(cbrt (/ (- a z) (- y z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

273.0ms	(fma (* (/ (/ 1 (cbrt (/ (- a z) (- y z)))) (cbrt (/ (- a z) (- y z)))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
441.0ms	(cbrt (/ (- a z) (- y z)))
514.0ms	(cbrt (/ (- a z) (- y z)))
424.0ms	(cbrt (/ (- a z) (- y z)))

simplify3.5s

Counts

148 → 148

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	178	2827
1	342	2728
2	688	2583
3	1590	2348
4	4398	2270
done	5000	2270

prune794.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

Details

sample34.0ms

simplify1.6s

prune9.0ms

localize9.0ms

rewrite30.0ms

series180.0ms

simplify3.3s

prune278.0ms

localize11.0ms

rewrite90.0ms

series906.0ms

simplify2.9s

prune694.0ms

localize13.0ms

rewrite214.0ms

series551.0ms

simplify2.4s

prune882.0ms

localize18.0ms

rewrite63.0ms

series1.7s

simplify3.5s

prune794.0ms

regimes4.0ms