Details

analyze111.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
49.9%	49.9%	0.1%	2
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	25%	25.1%	5
49.9%	25%	25.1%	6
49.9%	25%	25.1%	7
49.9%	12.5%	37.6%	8
49.9%	12.5%	37.6%	9
49.9%	12.5%	37.6%	10
49.9%	6.2%	43.8%	11
49.9%	6.2%	43.8%	12
49.9%	6.2%	43.8%	13
49.9%	3.1%	47%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample1.3s (15.1%)

Infinites

31.1% of outputs are infinite.

Results

1.1s	8256×	body	128	valid
70.0ms	553×	body	128	invalid

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
691×	`associate-/l*_binary64`
673×	`sub-neg_binary64`
568×	`fma-neg_binary64`
439×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	99	31
3	223	30
4	529	30
5	1016	30
6	1917	30
7	3001	30
8	3396	30
9	4830	30
10	5110	30

prune5.0ms (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

3.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	3.3b	(+.f64 (-.f64 (fma.f64 (-.f64 x 1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
▶	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Status

Error

Program

3.3b

(+.f64 (-.f64 (fma.f64 (-.f64 x 1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

▶

3.3b

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 150 to 107 computations (28.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	3.3b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

series107.0ms (1.3%)

Counts

4 → 72

Calls

4 calls:

73.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
14.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
12.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
25×	`add-cube-cbrt_binary64`
18×	`log-prod_binary64`
13×	`associate-+l+_binary64`

Counts

4 → 120

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
9.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
6.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-neg_binary64`
646×	`times-frac_binary64`
421×	`cancel-sign-sub-inv_binary64`
197×	`exp-prod_binary64`
171×	`associate-l_binary64`

Counts

192 → 237

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	284	3791
1	654	3460
2	2312	3267
3	4223	3261
4	4971	3261
5	4899	3261

prune401.0ms (4.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	230	9	239

Error

0.9b

Counts

239 → 9

Alt Table

Status	Error	Program
▶	3.2b	(+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	11.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	3.4b	(+.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	15.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	3.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
	20.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 13888888888889/5000000000000000 (/.f64 z x))))
	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	3.6b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 8237 to 5401 computations (34.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
	3.3b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

series218.0ms (2.6%)

Counts

3 → 36

Calls

3 calls:

147.0ms	(fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))
37.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
33.0ms	(cbrt.f64 x)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
0.0ms	(fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

406×	`cancel-sign-sub-inv_binary64`
341×	`exp-prod_binary64`
324×	`fma-neg_binary64`
304×	`log-prod_binary64`
297×	`unswap-sqr_binary64`

Counts

101 → 107

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1177
1	205	1039
2	659	927
3	1766	901
4	4144	889
5	4983	889

prune432.0ms (5.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	217	8	225

Error

0.9b

Counts

225 → 8

Alt Table

Status	Error	Program
	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	15.2b	(+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
▶	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	11.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	3.4b	(+.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	3.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
	20.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 13888888888889/5000000000000000 (/.f64 z x))))
	3.6b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 9460 to 5530 computations (41.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.2b	(/.f64 1 (/.f64 x (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))
✓	3.7b	(/.f64 x (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))

series245.0ms (2.9%)

Counts

2 → 72

Calls

2 calls:

160.0ms

(/.f64 x (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))

84.0ms

(/.f64 1 (/.f64 x (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
54×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`

Counts

2 → 117

Calls

2 calls:

11.0ms

(/.f64 1 (/.f64 x (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))

9.0ms

(/.f64 x (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))

simplify178.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

408×	`cancel-sign-sub-inv_binary64`
342×	`fma-neg_binary64`
231×	`neg-mul-1_binary64`
217×	`unswap-sqr_binary64`
174×	`fma-def_binary64`

Counts

189 → 229

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	320	6590
1	854	6005
2	3156	5754
3	4621	5724
4	5020	5724

prune571.0ms (6.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	339	8	347

Error

0.9b

Counts

347 → 8

Alt Table

Status	Error	Program
	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	15.2b	(+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
✓	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	11.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
▶	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	3.4b	(+.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 13888888888889/5000000000000000 (/.f64 z x))))
	3.6b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 13836 to 9499 computations (31.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.4b	(/.f64 1 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))
✓	3.0b	(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))

series80.0ms (1%)

Counts

2 → 60

Calls

2 calls:

47.0ms

(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))

33.0ms

(/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))

rewrite97.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64`
220×	`*-un-lft-identity_binary64`
220×	`add-sqr-sqrt_binary64`
220×	`add-cube-cbrt_binary64`
46×	`add-exp-log_binary64`

Counts

2 → 292

Calls

2 calls:

44.0ms

(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)))

8.0ms

(/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))

simplify294.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
741×	`times-frac_binary64`
199×	`associate-/r*_binary64`
156×	`*-commutative_binary64`
153×	`associate-r_binary64`

Counts

352 → 397

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	13686
1	1016	12514
2	3362	12386
3	5017	12386

prune889.0ms (10.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	505	2	507
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	508	7	515

Error

0.9b

Counts

515 → 7

Alt Table

Status	Error	Program
	20.6b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (fma.f64 (/.f64 z x) -13888888888889/5000000000000000 (/.f64 83333333333333/1000000000000000 x)))
	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	15.2b	(+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (fma.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)) (-.f64 91893853320467/100000000000000 x))) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
✓	3.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	11.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	3.3b	(+.f64 (.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))
	3.6b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 23166 to 16730 computations (27.8% saved)

regimes2.8s (33.8%)

Accuracy

Total 1.4b remaining (50.8%)

Threshold costs 0b (0%)

Counts

271 → 2

Compiler

Compiled 62036 to 46119 computations (25.7% saved)

bsearch29.0ms (0.3%)

Steps

Iters	Range		Point
5	2.7459805274957443e+67	1.0357461845557803e+68	4.2685767177764653e+67

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	88
1	53	88
2	59	88
3	61	88
4	62	88
5	60	88

end164.0ms (1.9%)

Compiler: Compiled 366 to 257 computations (29.8% saved)

Details

analyze111.0ms (1.3%)

sample1.3s (15.1%)

simplify74.0ms (0.9%)

prune5.0ms (0.1%)

localize19.0ms (0.2%)

series107.0ms (1.3%)

rewrite39.0ms (0.5%)

simplify151.0ms (1.8%)

prune401.0ms (4.8%)

localize24.0ms (0.3%)

series218.0ms (2.6%)

rewrite8.0ms (0.1%)

simplify78.0ms (0.9%)

prune432.0ms (5.1%)

localize20.0ms (0.2%)

series245.0ms (2.9%)

rewrite47.0ms (0.6%)

simplify178.0ms (2.1%)

prune571.0ms (6.8%)

localize20.0ms (0.2%)

series80.0ms (1%)

rewrite97.0ms (1.2%)

simplify294.0ms (3.5%)

prune889.0ms (10.6%)

regimes2.8s (33.8%)

bsearch29.0ms (0.3%)

simplify4.0ms (0%)

end164.0ms (1.9%)

Profiling