Details

analyze1.1s (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample92.0ms (1.1%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
18.0ms	193×	body	128	invalid
14.0ms	151×	body	128	nan

Compiler

Compiled 47 to 37 computations (21.3% saved)

simplify187.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-neg_binary64`
522×	`fma-def_binary64`
417×	`neg-sub0_binary64`
408×	`neg-mul-1_binary64`
378×	`prod-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	51	25
3	102	25
4	219	25
5	464	25
6	1225	25
7	2416	25
8	3703	25
9	4714	25
10	4874	25
11	4224	25
12	4608	25
13	4555	25
14	4942	25

prune7.0ms (0.1%)

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

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
▶	0.5b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 119 to 89 computations (25.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
✓	0.0b	(sqrt.f64 (exp.f64 t))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
✓	0.2b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

series246.0ms (3%)

Counts

4 → 68

Calls

4 calls:

206.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
35.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
3.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
14×	`associate-r_binary64`

Counts

4 → 100

Calls

4 calls:

10.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
9.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
3.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
1.0ms	(sqrt.f64 (exp.f64 t))

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
434×	`fma-neg_binary64`
304×	`associate-l_binary64`
286×	`associate-r_binary64`
259×	`distribute-rgt-in_binary64`

Counts

168 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3860
1	552	3586
2	1965	3419
3	4719	3419
4	4990	3419

prune203.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	161	10	171
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	163	10	173

Error

0.0b

Counts

173 → 10

Alt Table

Status	Error	Program
	33.6b	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x 1/2) y)) (cbrt.f64 (-.f64 (.f64 x 1/2) y))) (.f64 (cbrt.f64 (-.f64 (.f64 x 1/2) y)) (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.0b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y)))) (+.f64 (*.f64 x 1/2) y))
	42.4b	(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y))))
	0.5b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (*.f64 1/2 t)))
	1.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))
	1.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) 1/2)) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
	0.8b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 4811 to 2812 computations (41.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t))))
✓	0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 t)))
✓	0.0b	(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t)
	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series569.0ms (6.8%)

Counts

3 → 36

Calls

3 calls:

397.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 t)))
169.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t))))
3.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t)

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-prod_binary64`
43×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 100

Calls

3 calls:

27.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t))))
3.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t)
2.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 t)))

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

646×	`log-prod_binary64`
644×	`associate-+l+_binary64`
379×	`unswap-sqr_binary64`
296×	`associate-l_binary64`
238×	`associate-r_binary64`

Counts

136 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2145
1	255	1921
2	630	1782
3	2039	1748
4	4918	1748
5	5513	1748

prune361.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	272	9	281

Error

0.0b

Counts

281 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t) (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)))
	33.6b	(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.0b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y)))) (+.f64 (*.f64 x 1/2) y))
	42.4b	(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y))))
	1.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))
	1.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) 1/2)) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
	1.4b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x 1/2) y)) (cbrt.f64 (-.f64 (.f64 x 1/2) y))) (.f64 (sqrt.f64 (.f64 2 z)) (cbrt.f64 (-.f64 (.f64 1/2 x) y)))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t))

Compiler

Compiled 10040 to 4035 computations (59.8% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t)
✓	0.0b	(cbrt.f64 (exp.f64 t))
	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series184.0ms (2.2%)

Counts

3 → 36

Calls

3 calls:

178.0ms	(cbrt.f64 (exp.f64 t))
3.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t)
3.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
21×	`unpow-prod-down_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`

Counts

3 → 68

Calls

3 calls:

3.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)
2.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t)
1.0ms	(cbrt.f64 (exp.f64 t))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
384×	`*-commutative_binary64`
378×	`sqr-pow_binary64`
274×	`unswap-sqr_binary64`
211×	`distribute-lft-out_binary64`

Counts

104 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	1448
1	271	1392
2	598	1375
3	1553	1342
4	3151	1306
5	4794	1306
6	4930	1306
7	4884	1306

prune273.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	188	9	197

Error

0.0b

Counts

197 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.0b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y)))) (+.f64 (*.f64 x 1/2) y))
▶	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 1/3 t))) t) (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)))
	42.4b	(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y))))
	1.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))
	1.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) 1/2)) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
	0.6b	(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 (.f64 2 z)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t) (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)))

Compiler

Compiled 8824 to 3313 computations (62.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 t))) t)
	0.0b	(cbrt.f64 (exp.f64 t))
	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
✓	0.4b	(*.f64 1/3 t)

series5.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

3.0ms	(pow.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 t))) t)
2.0ms	(*.f64 1/3 t)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64`
5×	`add-exp-log_binary64`

Counts

2 → 43

Calls

2 calls:

3.0ms	(*.f64 1/3 t)
2.0ms	(pow.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 t))) t)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-def_binary64`
441×	`log-prod_binary64`
291×	`associate-/l*_binary64`
260×	`distribute-rgt-out_binary64`
241×	`sqr-pow_binary64`

Counts

55 → 76

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	674
1	174	558
2	401	552
3	1029	546
4	2608	532
5	4319	532
6	4877	532

prune208.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Error

0.0b

Counts

155 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) y)) (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	33.6b	(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.0b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y)))) (+.f64 (*.f64 x 1/2) y))
✓	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 1/3 t))) t) (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)))
	42.4b	(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y))))
	1.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))) (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))
	1.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) 1/2)) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
	0.6b	(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 (.f64 2 z)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 t))) (cbrt.f64 (sqrt.f64 (exp.f64 t)))) t)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) t) (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) t)))

Compiler

Compiled 6721 to 3126 computations (53.5% saved)

regimes2.1s (24.8%)

Accuracy

Total 0.2b remaining (85.2%)

Threshold costs 0.2b (85.2%)

Counts

137 → 1

Compiler

Compiled 56914 to 39312 computations (30.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	63
1	38	63
2	43	63
3	45	63
4	46	63
5	46	63

end1.0ms (0%)

Compiler: Compiled 42 to 28 computations (33.3% saved)

sample2.3s (27.3%)

Algorithm

1×

intervals

Results

580.0ms	8000×	body	128	valid
441.0ms	6066×	body	128	invalid
327.0ms	4548×	body	128	nan

Compiler

Compiled 414 to 285 computations (31.2% saved)

Details

analyze1.1s (12.8%)

sample92.0ms (1.1%)

simplify187.0ms (2.2%)

prune7.0ms (0.1%)

localize17.0ms (0.2%)

series246.0ms (3%)

rewrite28.0ms (0.3%)

simplify121.0ms (1.4%)

prune203.0ms (2.4%)

localize18.0ms (0.2%)

series569.0ms (6.8%)

rewrite38.0ms (0.5%)

simplify104.0ms (1.2%)

prune361.0ms (4.3%)

localize27.0ms (0.3%)

series184.0ms (2.2%)

rewrite11.0ms (0.1%)

simplify116.0ms (1.4%)

prune273.0ms (3.3%)

localize27.0ms (0.3%)

series5.0ms (0.1%)

rewrite6.0ms (0.1%)

simplify70.0ms (0.8%)

prune208.0ms (2.5%)

regimes2.1s (24.8%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.3s (27.3%)

Profiling