Details

analyze946.0ms (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)

sample3.1s (26.1%)

Results

1.7s	11192×	body	128	invalid
1.3s	8256×	body	128	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify183.0ms (1.6%)

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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series300.0ms (2.5%)

Counts

3 → 64

Calls

3 calls:

267.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
30.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
3.0ms	(sqrt.f64 (exp.f64 t))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
7.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
2.0ms	(sqrt.f64 (exp.f64 t))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-neg_binary64`
658×	`fma-def_binary64`
291×	`associate-l_binary64`
267×	`associate-r_binary64`
256×	`distribute-rgt-in_binary64`

Counts

136 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3670
1	495	3220
2	1783	3055
3	4590	3055
4	5133	3055

prune145.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	9	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Error

0.0b

Counts

132 → 9

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z 2))) (cbrt.f64 (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 1/2 (.f64 1/4 (.f64 t t)))) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.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))
	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	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))
	32.8b	(.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))
▶	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
	40.7b	(.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))
	29.3b	(.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))

Compiler

Compiled 3885 to 2311 computations (40.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.1s (8.9%)

Counts

4 → 108

Calls

4 calls:

557.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
267.0ms	(.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t))
195.0ms	(cbrt.f64 (exp.f64 t))
30.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z)))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-exp-log_binary64`
58×	`prod-exp_binary64`
32×	`associate-r_binary64`
20×	`unpow-prod-down_binary64`
20×	`add-cbrt-cube_binary64`

Counts

4 → 122

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
12.0ms	(.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t))
6.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z)))
1.0ms	(cbrt.f64 (exp.f64 t))

simplify201.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-l_binary64`
558×	`associate-r_binary64`
376×	`cancel-sign-sub-inv_binary64`
291×	`fma-neg_binary64`
286×	`*-commutative_binary64`

Counts

230 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	8814
1	859	7415
2	3441	7017
3	4808	7017
4	4988	7017

prune258.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	224	9	233

Error

0.0b

Counts

233 → 9

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z 2))) (cbrt.f64 (sqrt.f64 (.f64 z 2))))) (cbrt.f64 (sqrt.f64 (.f64 z 2)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	0.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 1/2 (.f64 1/4 (.f64 t t)))) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.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))
▶	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	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))
	32.8b	(.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))
✓	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
	40.7b	(.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))
	29.3b	(.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))

Compiler

Compiled 8650 to 4454 computations (48.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (exp.f64 t))
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.3b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

series275.0ms (2.3%)

Counts

3 → 84

Calls

3 calls:

205.0ms

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

38.0ms

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

31.0ms

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

rewrite48.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`distribute-lft-in_binary64`
35×	`distribute-rgt-in_binary64`
34×	`add-exp-log_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`

Counts

3 → 128

Calls

3 calls:

15.0ms

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

15.0ms

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

8.0ms

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

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

618×	`associate-l_binary64`
565×	`associate-r_binary64`
488×	`distribute-rgt-in_binary64`
329×	`cancel-sign-sub-inv_binary64`
293×	`fma-neg_binary64`

Counts

212 → 186

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	5929
1	623	5031
2	2710	4816
3	4986	4816

prune202.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	214	7	221

Error

Counts

221 → 7

Alt Table

Status	Error	Program
	0.5b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
	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))
	0.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 1/2 (.f64 1/4 (.f64 t t)))) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
▶	0.5b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.8b	(.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))
	0.7b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 z)) (-.f64 (*.f64 1/2 x) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 6039 to 3107 computations (48.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
✓	0.3b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
✓	0.3b	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))

series295.0ms (2.5%)

Counts

4 → 108

Calls

4 calls:

207.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
45.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
33.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
9.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
34×	`add-cbrt-cube_binary64`
27×	`sqrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`

Counts

4 → 125

Calls

4 calls:

18.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
9.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
7.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
507×	`associate-l_binary64`
485×	`associate-r_binary64`
474×	`distribute-rgt-in_binary64`
259×	`cancel-sign-sub-inv_binary64`

Counts

233 → 202

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	6951
1	660	5516
2	2453	5175
3	5152	5175

prune186.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	202	7	209

Error

Counts

209 → 7

Alt Table

Status	Error	Program
	0.5b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 2 z))) (pow.f64 (fabs.f64 (cbrt.f64 (exp.f64 t))) t)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t))) t))
	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))
	0.9b	(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) (+.f64 1/2 (.f64 1/4 (.f64 t t)))) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (.f64 y (*.f64 t t)))))))
✓	0.5b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.8b	(.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))
	0.7b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 z)) (-.f64 (*.f64 1/2 x) y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 6368 to 3921 computations (38.4% saved)

regimes3.9s (33%)

Accuracy

Total 0.3b remaining (92.9%)

Threshold costs 0.3b (92.9%)

Counts

222 → 1

Compiler

Compiled 78950 to 59686 computations (24.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	20	39
1	27	39
2	32	39
3	34	39
4	35	39
5	35	39

end155.0ms (1.3%)

Compiler: Compiled 255 to 186 computations (27.1% saved)

Details

analyze946.0ms (8%)

sample3.1s (26.1%)

simplify183.0ms (1.6%)

prune3.0ms (0%)

localize14.0ms (0.1%)

series300.0ms (2.5%)

rewrite24.0ms (0.2%)

simplify125.0ms (1.1%)

prune145.0ms (1.2%)

localize19.0ms (0.2%)

series1.1s (8.9%)

rewrite46.0ms (0.4%)

simplify201.0ms (1.7%)

prune258.0ms (2.2%)

localize13.0ms (0.1%)

series275.0ms (2.3%)

rewrite48.0ms (0.4%)

simplify132.0ms (1.1%)

prune202.0ms (1.7%)

localize18.0ms (0.2%)

series295.0ms (2.5%)

rewrite57.0ms (0.5%)

simplify137.0ms (1.2%)

prune186.0ms (1.6%)

regimes3.9s (33%)

simplify4.0ms (0%)

end155.0ms (1.3%)

Profiling