Details

analyze124.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

Compiler

Compiled 175 to 47 computations (73.1% saved)

sample91.0ms (1.5%)

Algorithm

1×

intervals

Results

79.0ms

256×

body

128

valid

Compiler

Compiled 350 to 94 computations (73.1% saved)

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

755×	`unswap-sqr_binary64`
705×	`fma-def_binary64`
691×	`distribute-rgt-out_binary64`
576×	`+-commutative_binary64`
488×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	256
1	133	150
2	549	101
3	2427	90
4	3705	84
5	4529	84
6	4874	84
7	5887	84

prune16.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

32.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.1b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
	32.2b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Status

Error

Program

▶

32.1b

(*.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (*.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))

32.2b

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Compiler

Compiled 704 to 274 computations (61.1% saved)

localize70.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3782789308857969/36028797018963968 (*.f64 x x) 1)
✓	0.1b	(fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1)
✓	17.2b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
✓	31.6b	(/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (.f64 x x) 1737369620307813/2251799813685248 1)))))))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
13×	`associate-r_binary64`

Counts

4 → 83

Calls

4 calls:

9.0ms	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
4.0ms	(/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (.f64 x x) 1737369620307813/2251799813685248 1)))))))
1.0ms	(fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1)
1.0ms	(fma.f64 3782789308857969/36028797018963968 (*.f64 x x) 1)

series131.0ms (2.1%)

Counts

4 → 48

Calls

4 calls:

68.0ms	(/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (.f64 x x) 1737369620307813/2251799813685248 1)))))))
33.0ms	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
14.0ms	(fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1)
14.0ms	(fma.f64 3782789308857969/36028797018963968 (*.f64 x x) 1)

simplify524.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-l_binary64`
482×	`associate-r_binary64`
301×	`fma-def_binary64`
236×	`associate-*r/_binary64`
211×	`associate-*l/_binary64`

Counts

131 → 240

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	7935
1	437	7066
2	1287	7058
3	4538	7058
4	4758	7058
5	4997	7058
6	4901	7058

prune801.0ms (12.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	237	3	240
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	238	4	242

Error

Counts

242 → 4

Alt Table

Status	Error	Program
✓	32.1b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
	35.2b	(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)
	46.0b	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
▶	28.4b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))

Compiler

Compiled 14283 to 10608 computations (25.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
✓	0.5b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
34×	`add-sqr-sqrt_binary64`
34×	`add-cube-cbrt_binary64`
13×	`fma-def_binary64`

Counts

2 → 96

Calls

2 calls:

38.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
7.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

series47.0ms (0.8%)

Counts

2 → 12

Calls

2 calls:

24.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))
23.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))

simplify150.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-l_binary64`
353×	`associate-/l*_binary64`
342×	`associate-*r/_binary64`
342×	`associate-*l/_binary64`
272×	`associate-/l/_binary64`

Counts

108 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1319
1	242	1280
2	965	1242
3	4706	1242
4	4947	1242

prune125.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Error

Counts

181 → 4

Alt Table

Status	Error	Program
✓	32.1b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
▶	35.2b	(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)
	46.0b	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
✓	28.4b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))

Compiler

Compiled 1943 to 1503 computations (22.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)

series24.0ms (0.4%)

Counts

1 → 12

Calls

1 calls:

24.0ms

(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

435×	`neg-mul-1_binary64`
394×	`associate-l_binary64`
372×	`associate-r_binary64`
317×	`distribute-rgt-out_binary64`
261×	`exp-prod_binary64`

Counts

22 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	232
1	35	197
2	87	197
3	323	197
4	1659	197
5	4536	197
6	5201	197

prune22.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Status	Error	Program
✓	32.1b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
✓	35.2b	(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)
▶	46.0b	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
✓	28.4b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))

Compiler

Compiled 254 to 188 computations (26% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
✓	0.2b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
✓	0.3b	(/.f64 1/2 (*.f64 x x))
✓	18.9b	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 118

Calls

4 calls:

30.0ms	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
26.0ms	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
6.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
6.0ms	(/.f64 1/2 (*.f64 x x))

series110.0ms (1.8%)

Counts

4 → 36

Calls

4 calls:

38.0ms	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
26.0ms	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
26.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
19.0ms	(/.f64 1/2 (*.f64 x x))

simplify145.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/r*_binary64`
574×	`associate-*l/_binary64`
359×	`associate-/l*_binary64`
343×	`fma-def_binary64`
244×	`distribute-rgt-in_binary64`

Counts

154 → 252

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2277
1	403	2121
2	1414	1948
3	4990	1948

prune167.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	252	4	256

Error

Counts

256 → 4

Alt Table

Status	Error	Program
✓	32.1b	(.f64 x (/.f64 (fma.f64 825478423409049/4611686018427387904 (pow.f64 x 10) (fma.f64 583843369866023/1152921504606846976 (pow.f64 x 8) (fma.f64 8375303961237363/1152921504606846976 (pow.f64 x 6) (fma.f64 763919671262763/18014398509481984 (pow.f64 x 4) (fma.f64 3782789308857969/36028797018963968 (.f64 x x) 1))))) (fma.f64 825478423409049/2305843009213693952 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808 (fma.f64 (pow.f64 x 8) 2017691060547333/144115188075855872 (fma.f64 (pow.f64 x 6) 2502400853142105/36028797018963968 (fma.f64 (pow.f64 x 4) 2620859570069187/9007199254740992 (fma.f64 (*.f64 x x) 1737369620307813/2251799813685248 1))))))))
✓	35.2b	(fma.f64 (pow.f64 x 3) -24015124616067039/36028797018963968 x)
✓	46.0b	(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))))
✓	28.4b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))

Compiler

Compiled 3278 to 2225 computations (32.1% saved)

regimes146.0ms (2.4%)

Accuracy

Total 0.0b remaining (50.4%)

Threshold costs 0.0b (50.4%)

Compiler

Compiled 1080 to 474 computations (56.1% saved)

bsearch46.0ms (0.7%)

Steps

Iters	Range		Point
2	0.6744843070063523	126110.92123846004	6268.793293801824
4	-604608606.5512196	-28080340.96288234	-50618659.17270591

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	291
1	95	291
2	93	291

end3.0ms (0.1%)

Compiler: Compiled 196 to 63 computations (67.9% saved)

sample3.0s (48.1%)

Algorithm

1×

intervals

Results

2.4s

8000×

body

128

valid

Compiler

Compiled 464 to 180 computations (61.2% saved)

Details

analyze124.0ms (2%)

sample91.0ms (1.5%)

simplify154.0ms (2.5%)

prune16.0ms (0.3%)

localize70.0ms (1.1%)

rewrite47.0ms (0.8%)

series131.0ms (2.1%)

simplify524.0ms (8.5%)

prune801.0ms (12.9%)

localize10.0ms (0.2%)

rewrite55.0ms (0.9%)

series47.0ms (0.8%)

simplify150.0ms (2.4%)

prune125.0ms (2%)

localize7.0ms (0.1%)

rewrite2.0ms (0%)

series24.0ms (0.4%)

simplify91.0ms (1.5%)

prune22.0ms (0.4%)

localize14.0ms (0.2%)

rewrite79.0ms (1.3%)

series110.0ms (1.8%)

simplify145.0ms (2.3%)

prune167.0ms (2.7%)

regimes146.0ms (2.4%)

bsearch46.0ms (0.7%)

simplify13.0ms (0.2%)

end3.0ms (0.1%)

sample3.0s (48.1%)

Profiling