Details

analyze923.0ms (8.3%)

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)

sample3.0s (26.6%)

Results

1.7s	10987×	body	128	invalid
1.2s	8256×	body	128	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify124.0ms (1.1%)

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 77 to 57 computations (26% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series227.0ms (2%)

Counts

4 → 68

Calls

4 calls:

193.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
29.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
2.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

rewrite26.0ms (0.2%)

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))
6.0ms	(.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))

simplify347.0ms (3.1%)

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 → 170

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4050
1	552	3586
2	1965	3419
3	4719	3419
4	4990	3419

prune176.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	161	9	170
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	9	171

Error

0.0b

Counts

171 → 9

Alt Table

Status	Error	Program
	38.0b	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.5b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))
	1.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.6b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	35.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 2 z)))) 3))
	0.6b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (*.f64 1/2 t)))
	1.3b	(.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))
	26.7b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y))) (+.f64 (*.f64 x 1/2) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 4676 to 2731 computations (41.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 t) (*.f64 1/2 t))
✓	0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (*.f64 1/2 t)))
	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series181.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

178.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (*.f64 1/2 t)))
3.0ms	(pow.f64 (exp.f64 t) (*.f64 1/2 t))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64`
9×	`prod-exp_binary64`
7×	`associate-r_binary64`
7×	`add-cbrt-cube_binary64`
6×	`unpow-prod-down_binary64`

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (*.f64 1/2 t)))
2.0ms	(pow.f64 (exp.f64 t) (*.f64 1/2 t))

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-def_binary64`
388×	`sub-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`
267×	`associate-l_binary64`
263×	`associate-r_binary64`

Counts

96 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	3005
1	469	2721
2	1676	2154
3	4509	2150
4	5199	2150

prune169.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	149	9	158

Error

0.0b

Counts

158 → 9

Alt Table

Status	Error	Program
	38.0b	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.5b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))
	1.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	26.7b	(/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 y y)) (sqrt.f64 (.f64 z 2))) (pow.f64 (exp.f64 t) (.f64 1/2 t))) (+.f64 (*.f64 x 1/2) y))
▶	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	35.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 2 z)))) 3))
	0.6b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.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))
	0.6b	(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 z)))

Compiler

Compiled 4336 to 2900 computations (33.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (exp.f64 t) t) 3/2)
✓	0.0b	(pow.f64 (exp.f64 t) t)
✓	0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series449.0ms (4%)

Counts

3 → 60

Calls

3 calls:

271.0ms	(pow.f64 (pow.f64 (exp.f64 t) t) 3/2)
175.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
3.0ms	(pow.f64 (exp.f64 t) t)

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`unpow-prod-down_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`

Counts

3 → 80

Calls

3 calls:

13.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
4.0ms	(pow.f64 (pow.f64 (exp.f64 t) t) 3/2)
2.0ms	(pow.f64 (exp.f64 t) t)

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
426×	`fma-neg_binary64`
303×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
259×	`associate-l_binary64`

Counts

140 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3407
1	570	3274
2	1855	2717
3	4574	2715
4	4994	2715
5	4968	2715

prune215.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	197	9	206

Error

0.0b

Counts

206 → 9

Alt Table

Status	Error	Program
	38.0b	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	0.5b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))
	26.7b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y))) (+.f64 (*.f64 x 1/2) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	1.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (.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 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	35.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 2 z)))) 3))
	0.6b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.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))
	0.6b	(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 z)))

Compiler

Compiled 5664 to 3663 computations (35.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series856.0ms (7.7%)

Counts

3 → 96

Calls

3 calls:

316.0ms

(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))

289.0ms

(*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))

250.0ms

(*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
15×	`distribute-lft-in_binary64`
15×	`distribute-rgt-in_binary64`
15×	`add-exp-log_binary64`

Counts

3 → 100

Calls

3 calls:

11.0ms

(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))

10.0ms

(*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))

5.0ms

(*.f64 x (pow.f64 (sqrt.f64 (exp.f64 t)) t))

simplify216.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
564×	`cancel-sign-sub-inv_binary64`
447×	`associate-r_binary64`
440×	`associate-l_binary64`
243×	`exp-prod_binary64`

Counts

196 → 175

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	7052
1	675	5030
2	2645	4875
3	4252	4875
4	4990	4875
5	4998	4875
6	4935	4875

prune277.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	255	9	264

Error

0.0b

Counts

264 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (sqrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.6b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (sqrt.f64 2)))))
	38.0b	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (+.f64 (.f64 y y) (.f64 (.f64 x 1/2) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	26.7b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 z)) (-.f64 (.f64 x (.f64 1/4 x)) (.f64 y y))) (+.f64 (*.f64 x 1/2) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	1.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (.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 x 1/2) y) (sqrt.f64 (.f64 z 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 3/2)))
	0.5b	(.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y)) (cbrt.f64 (sqrt.f64 2)))))
	1.3b	(.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))
	0.6b	(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 z)))

Compiler

Compiled 8371 to 3560 computations (57.5% saved)

regimes3.5s (31.3%)

Accuracy

Total 0.3b remaining (94%)

Threshold costs 0.3b (94%)

Counts

201 → 1

Compiler

Compiled 71578 to 51069 computations (28.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	18	28
1	24	28
2	29	28
3	31	28
4	32	28
5	32	28

end176.0ms (1.6%)

Compiler: Compiled 324 to 248 computations (23.5% saved)

Details

analyze923.0ms (8.3%)

sample3.0s (26.6%)

simplify124.0ms (1.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

series227.0ms (2%)

rewrite26.0ms (0.2%)

simplify347.0ms (3.1%)

prune176.0ms (1.6%)

localize12.0ms (0.1%)

series181.0ms (1.6%)

rewrite15.0ms (0.1%)

simplify94.0ms (0.8%)

prune169.0ms (1.5%)

localize13.0ms (0.1%)

series449.0ms (4%)

rewrite23.0ms (0.2%)

simplify125.0ms (1.1%)

prune215.0ms (1.9%)

localize14.0ms (0.1%)

series856.0ms (7.7%)

rewrite34.0ms (0.3%)

simplify216.0ms (1.9%)

prune277.0ms (2.5%)

regimes3.5s (31.3%)

simplify3.0ms (0%)

end176.0ms (1.6%)

Profiling