Details

analyze531.0ms (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
3.0ms	37×	body	128	invalid
2.0ms	25×	body	128	nan

Compiler

Compiled 58 to 44 computations (24.1% saved)

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

699×	`sub-neg_binary64`
691×	`associate-/l*_binary64`
439×	`div-sub_binary64`
424×	`unsub-neg_binary64`
403×	`neg-mul-1_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	40	36
2	91	36
3	200	36
4	445	36
5	810	36
6	1515	36
7	2110	36
8	2561	36
9	3874	36
10	4558	36
11	4855	36
12	4823	36

prune4.0ms (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

6.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))

Status

Error

Program

▶

6.0b

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))

Compiler

Compiled 81 to 60 computations (25.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
5.5b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite247.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

26×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`log-prod_binary64`
12×	`associate--l+_binary64`
11×	`add-log-exp_binary64`

Counts

4 → 102

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
10.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3306 to 2190 computations (33.8% saved)

series200.0ms (2.4%)

Error

3.3b

Counts

4 → 33

Calls

4 calls:

91.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
26.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
25.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
18.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2313 to 1702 computations (26.4% saved)

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-in_binary64`
564×	`distribute-lft-in_binary64`
190×	`times-frac_binary64`
153×	`associate-/r*_binary64`
141×	`associate-/l*_binary64`

Counts

135 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	2784
1	574	2580
2	1488	2452
3	4734	2450
4	4967	2450

prune182.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	109	10	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Error

1.9b

Counts

120 → 10

Alt Table

Status	Error	Program
	29.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 2069265617858471/2251799813685248 x)) 3)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.1b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 1/2)) (.f64 (log.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.0b	(+.f64 (+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))) x)) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (.f64 (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x))))
	6.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (/.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976))) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)))
	30.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
▶	5.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x 1/2)) (cbrt.f64 (-.f64 x 1/2))) (.f64 (log.f64 x) (cbrt.f64 (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.0b	(+.f64 (+.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	11.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))

Compiler

Compiled 3525 to 2377 computations (32.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.7b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
9.4b	(/.f64 (*.f64 z z) x)

rewrite298.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64` `associate-r_binary64`
17×	`times-frac_binary64`
15×	`associate-l_binary64`

Counts

4 → 117

Calls

4 calls:

11.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.0ms	(/.f64 (*.f64 z z) x)

Compiler

Compiled 4040 to 2174 computations (46.2% saved)

series138.0ms (1.6%)

Error

1.9b

Counts

4 → 29

Calls

4 calls:

50.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
24.0ms	(/.f64 (*.f64 z z) x)
20.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
19.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2217 to 1551 computations (30% saved)

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
474×	`times-frac_binary64`
246×	`associate-/l/_binary64`
171×	`associate-/r/_binary64`

Counts

146 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	1986
1	591	1748
2	1833	1739
3	4895	1739
4	4992	1739
5	4949	1739

prune181.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	102	11	113

Error

0.0b

Counts

113 → 11

Alt Table

Status	Error	Program
	29.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 2069265617858471/2251799813685248 x)) 3)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (/.f64 z 1) (.f64 (+.f64 y 7320129949063637/9223372036854775808) (/.f64 z x)))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	14.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))))) (*.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.1b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 1/2)) (.f64 (log.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.0b	(+.f64 (+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))) x)) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (.f64 (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x))))
	6.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (/.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976))) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)))
	30.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
▶	0.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x 1/2)) (cbrt.f64 (-.f64 x 1/2))) (.f64 (log.f64 x) (cbrt.f64 (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.0b	(+.f64 (+.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))

Compiler

Compiled 3086 to 1836 computations (40.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
0.2b	(*.f64 z (/.f64 z x))
3.7b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite315.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`add-sqr-sqrt_binary64`
34×	`associate-r_binary64`
29×	`*-un-lft-identity_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

4 → 121

Calls

4 calls:

10.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 z (/.f64 z x))
6.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 4138 to 2205 computations (46.7% saved)

series138.0ms (1.6%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

49.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
23.0ms	(*.f64 z (/.f64 z x))
20.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
18.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2217 to 1530 computations (31% saved)

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

496×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
412×	`associate-/l*_binary64`
309×	`times-frac_binary64`
276×	`associate-l_binary64`

Counts

150 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	1996
1	566	1740
2	1872	1731
3	4972	1731
4	4972	1731

prune185.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	108	13	121

Error

Counts

121 → 13

Alt Table

Status	Error	Program
	1.0b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
▶	0.5b	(+.f64 (+.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (/.f64 z x) (cbrt.f64 z))) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	29.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 2069265617858471/2251799813685248 x)) 3)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	14.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))))) (*.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.0b	(+.f64 (+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))) x)) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (.f64 (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x))))
	0.6b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 1/2)) (.f64 (log.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 1/2)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (*.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 z (.f64 (+.f64 y 7320129949063637/9223372036854775808) (/.f64 z x)))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (/.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976))) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)))
	30.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x 1/2)) (cbrt.f64 (-.f64 x 1/2))) (.f64 (log.f64 x) (cbrt.f64 (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))

Compiler

Compiled 3359 to 1995 computations (40.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.7b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite345.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`log-prod_binary64`
31×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
24×	`cbrt-prod_binary64` `associate-+l+_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 102

Calls

4 calls:

14.0ms	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
9.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
3.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 5147 to 2828 computations (45.1% saved)

series176.0ms (2.1%)

Error

Counts

4 → 23

Calls

4 calls:

54.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
44.0ms	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

Compiler

Compiled 2443 to 1695 computations (30.6% saved)

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-/l*_binary64`
336×	`associate-l_binary64`
315×	`associate-r_binary64`
277×	`distribute-rgt-out_binary64`
209×	`*-commutative_binary64`

Counts

125 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2543
1	664	2057
2	2637	1804
3	4950	1804
4	4967	1804

prune243.0ms (2.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	103	13	116

Error

Counts

116 → 13

Alt Table

Status	Error	Program
	1.0b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	0.5b	(+.f64 (+.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (/.f64 z x) (cbrt.f64 z))) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	29.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 2069265617858471/2251799813685248 x)) 3)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	14.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7320129949063637/9223372036854775808))))) (*.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.0b	(+.f64 (+.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 x 1/2)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))) x)) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (.f64 (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976)))) (sqrt.f64 x))))
	0.6b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 1/2)) (.f64 (log.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 1/2)))) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))) (*.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	0.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (-.f64 (+.f64 (/.f64 6004799503160637/72057594037927936 x) (.f64 z (.f64 (+.f64 y 7320129949063637/9223372036854775808) (/.f64 z x)))) (.f64 3202559735019045/1152921504606846976 (/.f64 z x))))
	6.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248) (/.f64 (/.f64 (+.f64 6004799503160637/72057594037927936 (.f64 z (-.f64 (.f64 z (+.f64 7320129949063637/9223372036854775808 y)) 3202559735019045/1152921504606846976))) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)))
	30.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))
	6.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x 1/2)) (cbrt.f64 (-.f64 x 1/2))) (.f64 (log.f64 x) (cbrt.f64 (+.f64 x -1/2)))) x) 2069265617858471/2251799813685248) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x))

Compiler

Compiled 3982 to 2299 computations (42.3% saved)

regimes3.1s (36.6%)

Accuracy

Total 0.3b remaining (87.3%)

Threshold costs 0.3b (87.3%)

Compiler

Compiled 67106 to 47683 computations (28.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
8×	`*-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	52
1	44	52
2	56	52
3	64	52
4	70	52
5	73	52
6	74	52
7	72	52

end4.0ms (0%)

Compiler: Compiled 37 to 24 computations (35.1% saved)

sample1.4s (16.9%)

Algorithm

1×

intervals

Results

569.0ms	8000×	body	128	valid
82.0ms	1212×	body	128	invalid
44.0ms	739×	body	128	nan

Compiler

Compiled 577 to 396 computations (31.4% saved)

Details

analyze531.0ms (6.3%)

sample37.0ms (0.4%)

simplify114.0ms (1.4%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite247.0ms (2.9%)

series200.0ms (2.4%)

simplify128.0ms (1.5%)

prune182.0ms (2.2%)

localize20.0ms (0.2%)

rewrite298.0ms (3.5%)

series138.0ms (1.6%)

simplify136.0ms (1.6%)

prune181.0ms (2.1%)

localize19.0ms (0.2%)

rewrite315.0ms (3.7%)

series138.0ms (1.6%)

simplify111.0ms (1.3%)

prune185.0ms (2.2%)

localize24.0ms (0.3%)

rewrite345.0ms (4.1%)

series176.0ms (2.1%)

simplify117.0ms (1.4%)

prune243.0ms (2.9%)

regimes3.1s (36.6%)

simplify6.0ms (0.1%)

end4.0ms (0%)

sample1.4s (16.9%)

Profiling