Details

analyze24.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	64×	body	1024	valid
8.0ms	139×	body	128	valid
5.0ms	36×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	18.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.3b	(/.f64 1 (sqrt.f64 x))
1.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite304.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

18.3b

Rules

54×	`add-cube-cbrt_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
12×	`pow1_binary64`

Counts

4 → 194

Calls

4 calls:

62.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
17.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
12.0ms	(/.f64 1 (sqrt.f64 x))
11.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3558 to 2752 computations (22.7% saved)

series29.0ms (0.6%)

Error

18.6b

Counts

4 → 16

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 x 1))
6.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
5.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 469 to 377 computations (19.6% saved)

simplify140.0ms (3%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-neg_binary64`
607×	`fma-def_binary64`
504×	`associate-/l/_binary64`
262×	`cancel-sign-sub-inv_binary64`
158×	`times-frac_binary64`

Counts

210 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2099
1	411	1947
2	1490	1847
3	4469	1846
4	4989	1846
5	4855	1846

prune140.0ms (3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	106	15	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	15	122

Error

18.3b

Counts

122 → 15

Alt Table

Status	Error	Program
	28.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
	31.1b	(/.f64 (+.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (exp.f64 (*.f64 -1/2 (log1p.f64 x))) (sqrt.f64 x)))))
	41.1b	(-.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 3/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	18.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	21.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 x 1) -1/2))
	29.4b	(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
	23.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))
	20.9b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	28.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
	26.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
	22.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)))
	29.0b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (.f64 -1/2 (log1p.f64 x))))) (cbrt.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (.f64 -1/2 (log1p.f64 x)))))) (cbrt.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))))
	28.7b	(.f64 (+.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 x))) (sqrt.f64 (exp.f64 (.f64 -1/2 (log1p.f64 x))))) (-.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 x))) (sqrt.f64 (exp.f64 (*.f64 -1/2 (log1p.f64 x))))))
	22.8b	(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	31.3b	(exp.f64 (log.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))))

Compiler

Compiled 2047 to 1505 computations (26.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
1.6b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite317.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

18.1b

Rules

37×	`add-cube-cbrt_binary64`
33×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
15×	`pow1/2_binary64`

Counts

4 → 188

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
15.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
15.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
11.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 4200 to 2562 computations (39% saved)

series49.0ms (1.1%)

Error

18.2b

Counts

4 → 17

Calls

4 calls:

12.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
12.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
7.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 678 to 502 computations (26% saved)

simplify127.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
301×	`log-prod_binary64`
217×	`times-frac_binary64`
173×	`associate-l_binary64`

Counts

205 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3129
1	536	2746
2	2694	2397
3	4356	2396
4	4738	2396

prune90.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	13	1	14
Picked	1	0	1
Done	0	0	0
Total	119	3	122

Error

0.3b

Counts

122 → 3

Alt Table

Status	Error	Program
	18.8b	(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
▶	0.4b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	20.9b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 1908 to 1249 computations (34.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite357.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`add-cube-cbrt_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`

Counts

4 → 187

Calls

4 calls:

53.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
16.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
15.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 4021 to 2753 computations (31.5% saved)

series32.0ms (0.7%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

9.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
8.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
5.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
5.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 503 to 398 computations (20.9% saved)

simplify149.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
477×	`fma-neg_binary64`
349×	`log-prod_binary64`
273×	`prod-exp_binary64`
250×	`div-exp_binary64`

Counts

202 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	3202
1	455	2717
2	2181	2545
3	3809	2507
4	4933	2507
5	4866	2507

prune127.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	11	127
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	118	12	130

Error

0.0b

Counts

130 → 12

Alt Table

Status	Error	Program
	9.9b	(sqrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -2) (fma.f64 x x x)))
	14.6b	(/.f64 (/.f64 1 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.7b	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1)))))) (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))))
	4.2b	(/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 x)))
	4.7b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (sqrt.f64 (fma.f64 x x x)))))
	0.8b	(.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1))))) (sqrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))))
▶	0.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	4.5b	(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 (fma.f64 x x x)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
	31.6b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 x 1/2))
	0.5b	(/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))
	20.9b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 2811 to 1847 computations (34.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
0.3b	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)
9.6b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3))

rewrite299.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-cube-cbrt_binary64`
25×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
12×	`log1p-expm1-u_binary64`

Counts

4 → 181

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
14.0ms	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
13.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3))

Compiler

Compiled 3932 to 2864 computations (27.2% saved)

series35.0ms (0.7%)

Error

Counts

4 → 15

Calls

4 calls:

9.0ms	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
7.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3))

Compiler

Compiled 558 to 453 computations (18.8% saved)

simplify145.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-neg_binary64`
599×	`unswap-sqr_binary64`
313×	`log-prod_binary64`
288×	`fma-def_binary64`
258×	`associate-/l/_binary64`

Counts

196 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3020
1	378	2589
2	1474	2356
3	3646	2218
4	4931	2218
5	5285	2218

prune134.0ms (2.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	116	11	127

Error

Counts

127 → 11

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1)))))) (cbrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))))
	4.2b	(/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 x)))
	4.7b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (sqrt.f64 (fma.f64 x x x)))))
	33.2b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (-.f64 (+.f64 1/2 x) (/.f64 1/8 x)))
	0.8b	(.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 x) (+.f64 x 1))))) (sqrt.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))))
	4.2b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (pow.f64 (fma.f64 x x x) -1/2))
	0.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	4.5b	(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 (fma.f64 x x x)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
	31.6b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 x 1/2))
	0.5b	(/.f64 1 (fma.f64 x (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 x) (+.f64 x 1))))

Compiler

Compiled 2240 to 1502 computations (32.9% saved)

regimes773.0ms (16.7%)

Accuracy

Total 0.4b remaining (94.9%)

Threshold costs 0.4b (94.9%)

Compiler

Compiled 14736 to 11214 computations (23.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	14	27
2	13	27

end1.0ms (0%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

sample1.2s (27.1%)

Algorithm

1×

intervals

Results

467.0ms	2310×	body	1024	valid
220.0ms	4194×	body	128	valid
149.0ms	988×	body	512	valid
52.0ms	508×	body	256	valid

Compiler

Compiled 321 to 234 computations (27.1% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

Details

analyze24.0ms (0.5%)

sample36.0ms (0.8%)

simplify16.0ms (0.3%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite304.0ms (6.6%)

series29.0ms (0.6%)

simplify140.0ms (3%)

prune140.0ms (3%)

localize8.0ms (0.2%)

rewrite317.0ms (6.9%)

series49.0ms (1.1%)

simplify127.0ms (2.8%)

prune90.0ms (1.9%)

localize9.0ms (0.2%)

rewrite357.0ms (7.7%)

series32.0ms (0.7%)

simplify149.0ms (3.2%)

prune127.0ms (2.7%)

localize15.0ms (0.3%)

rewrite299.0ms (6.5%)

series35.0ms (0.7%)

simplify145.0ms (3.1%)

prune134.0ms (2.9%)

regimes773.0ms (16.7%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.2s (27.1%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17