Details

analyze390.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

795×	`sub-neg_binary64`
682×	`unsub-neg_binary64`
574×	`+-commutative_binary64`
540×	`neg-sub0_binary64`
481×	`distribute-neg-in_binary64`
371×	`neg-mul-1_binary64`
370×	`distribute-neg-out_binary64`
283×	`distribute-rgt-neg-in_binary64`
272×	`distribute-lft-neg-in_binary64`
263×	`remove-double-neg_binary64`
224×	`*-commutative_binary64`
204×	`distribute-rgt-out--_binary64`
190×	`associate-+l+_binary64`
188×	`associate-+l-_binary64`
183×	`associate--r+_binary64`
156×	`associate--l+_binary64`
155×	`associate-+r-_binary64`
151×	`distribute-lft-neg-out_binary64`
141×	`distribute-lft-out--_binary64`
139×	`associate-+r+_binary64`
134×	`cancel-sign-sub_binary64`
130×	`distribute-rgt-in_binary64`
124×	`cancel-sign-sub-inv_binary64`
110×	`associate-l_binary64`
100×	`mul-1-neg_binary64`
93×	`*-lft-identity_binary64`
86×	`distribute-rgt-neg-out_binary64`
83×	`distribute-rgt-out_binary64`
68×	`distribute-lft-in_binary64` `associate--r-_binary64`
67×	`associate-r_binary64`
64×	`associate--l-_binary64`
50×	`sub0-neg_binary64`
40×	`distribute-lft-out_binary64`
29×	`+-rgt-identity_binary64`
24×	`log-prod_binary64`
19×	`--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	75	72
2	228	72
3	741	72
4	1924	72
5	2766	72
6	3683	72
7	3978	72
8	4187	72
9	4073	72
10	4011	72
11	4689	72
12	4991	72
13	4949	72
0	3	3
1	3	3

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%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify172.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

763×	`associate--r+_binary64`
658×	`associate--r-_binary64`
630×	`associate--l+_binary64`
490×	`associate--l-_binary64`
440×	`associate-+l-_binary64`
374×	`unsub-neg_binary64`
316×	`distribute-neg-out_binary64`
312×	`cancel-sign-sub-inv_binary64`
306×	`sub-neg_binary64`
258×	`distribute-rgt-in_binary64`
238×	`distribute-neg-in_binary64`
156×	`+-commutative_binary64`
147×	`associate-+r+_binary64`
143×	`associate-+l+_binary64`
106×	`distribute-lft-in_binary64`
104×	`distribute-rgt-neg-in_binary64`
97×	`associate-l_binary64`
89×	`associate-+r-_binary64`
81×	`neg-sub0_binary64`
78×	`neg-mul-1_binary64`
77×	`distribute-lft-neg-out_binary64` `*-commutative_binary64`
62×	`associate-r_binary64`
61×	`distribute-lft-neg-in_binary64`
42×	`distribute-rgt-neg-out_binary64`
40×	`cancel-sign-sub_binary64`
36×	`sub0-neg_binary64`
17×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`*-lft-identity_binary64`
13×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
12×	`*-rgt-identity_binary64`
9×	`--rgt-identity_binary64`
8×	`log-prod_binary64`
6×	`distribute-rgt-out_binary64`
2×	`mul-1-neg_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	25	18
2	73	18
3	229	18
4	556	18
5	1278	18
6	1440	18
7	1609	18
8	1711	18
9	1737	18
10	1764	18
11	1764	18
12	1910	18
13	1850	18
14	1850	18
15	1850	18
16	4710	18
17	4948	18

prune2.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite134.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
11×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `diff-log_binary64` `associate--r+_binary64`
5×	`cancel-sign-sub-inv_binary64`
4×	`associate-l_binary64` `associate-r_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64` `sub-neg_binary64`
2×	`flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64` `associate-+l-_binary64` `associate-+l+_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `log-pow_binary64` `*-commutative_binary64` `+-commutative_binary64` `difference-of-squares_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

4 → 83

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1603 to 882 computations (45% saved)

series224.0ms (5%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

76.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
51.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
49.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
16.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1304 to 976 computations (25.2% saved)

simplify187.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

475×	`exp-sum_binary64`
421×	`sub-neg_binary64`
343×	`associate-+l+_binary64`
309×	`exp-diff_binary64`
276×	`associate-+r+_binary64`
226×	`*-commutative_binary64`
224×	`unsub-neg_binary64`
184×	`cancel-sign-sub-inv_binary64`
181×	`+-commutative_binary64`
176×	`exp-prod_binary64`
151×	`associate--r+_binary64`
146×	`associate--l+_binary64`
140×	`neg-sub0_binary64`
135×	`neg-mul-1_binary64`
113×	`distribute-rgt-neg-in_binary64`
112×	`distribute-rgt-in_binary64`
111×	`associate-+l-_binary64`
100×	`distribute-lft-in_binary64`
90×	`associate-+r-_binary64`
85×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
77×	`cancel-sign-sub_binary64`
72×	`sqr-pow_binary64` `associate-l_binary64`
63×	`associate-r_binary64`
61×	`log-prod_binary64`
48×	`cube-prod_binary64`
46×	`distribute-lft-neg-out_binary64`
42×	`div-exp_binary64` `distribute-neg-out_binary64`
38×	`div-sub_binary64`
35×	`prod-exp_binary64`
30×	`+-rgt-identity_binary64` `associate--r-_binary64`
29×	`exp-to-pow_binary64` `times-frac_binary64` `distribute-rgt-neg-out_binary64`
26×	`unpow3_binary64` `sub0-neg_binary64`
25×	`log-pow_binary64` `distribute-rgt-out_binary64`
24×	`associate--l-_binary64`
21×	`difference-of-squares_binary64`
17×	`remove-double-neg_binary64`
16×	`log-div_binary64`
15×	`cube-neg_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
14×	`associate-/l*_binary64`
13×	`sqr-neg_binary64` `*-lft-identity_binary64`
12×	`exp-neg_binary64` `unswap-sqr_binary64`
10×	`associate-/l/_binary64` `associate-*l/_binary64`
8×	`mul-1-neg_binary64` `--rgt-identity_binary64`
7×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `associate-/r*_binary64`
6×	`unpow1/2_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `count-2_binary64` `associate-/r/_binary64`
3×	`rem-exp-log_binary64` `cube-unmult_binary64`
2×	`log-rec_binary64` `cube-div_binary64`
1×	`log-E_binary64` `unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-*r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64`

Counts

127 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	193	2032
1	503	1959
2	1510	1918
3	3462	1918
4	4444	1914
5	4902	1914
6	4998	1914
7	4802	1914

prune100.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Error

0.0b

Counts

110 → 8

Compiler

Compiled 1398 to 783 computations (44% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.2b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite137.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64` `log-prod_binary64` `associate-+r+_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`pow1/3_binary64` `distribute-lft-out_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2268 to 1260 computations (44.4% saved)

series126.0ms (2.8%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

40.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
31.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
19.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

Compiler

Compiled 1026 to 819 computations (20.2% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

917×	`distribute-rgt-in_binary64`
888×	`distribute-lft-in_binary64`
218×	`associate-r_binary64`
206×	`associate-l_binary64`
141×	`distribute-lft-out_binary64`
137×	`*-commutative_binary64`
134×	`cancel-sign-sub-inv_binary64`
123×	`distribute-rgt-out_binary64`
80×	`distribute-rgt-neg-in_binary64`
70×	`distribute-lft-neg-in_binary64`
52×	`unswap-sqr_binary64`
48×	`log-prod_binary64`
46×	`+-commutative_binary64`
38×	`sqr-pow_binary64`
32×	`distribute-lft-neg-out_binary64`
30×	`swap-sqr_binary64` `distribute-rgt-out--_binary64`
29×	`sub-neg_binary64`
27×	`cube-prod_binary64`
25×	`exp-prod_binary64`
24×	`distribute-lft-out--_binary64`
23×	`distribute-neg-in_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`associate-+l+_binary64`
19×	`neg-sub0_binary64` `associate-+r+_binary64`
18×	`neg-mul-1_binary64`
11×	`exp-sum_binary64`
8×	`log-pow_binary64` `unpow3_binary64` `distribute-rgt1-in_binary64`
5×	`exp-to-pow_binary64` `pow-sqr_binary64`
4×	`log-div_binary64` `pow-plus_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64`
3×	`cube-unmult_binary64`
2×	`log-rec_binary64` `unpow1/3_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `associate-/r*_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `unsub-neg_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

87 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1699
1	463	1409
2	1644	1199
3	5652	1199

prune102.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	63	10	73

Error

Counts

73 → 10

Compiler

Compiled 1536 to 928 computations (39.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))
0.1b	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
0.3b	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
0.4b	(*.f64 -1/3 (neg.f64 (log.f64 y)))

rewrite169.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`associate-r_binary64`
13×	`pow1_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
6×	`log-prod_binary64` `distribute-neg-in_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-neg-out_binary64` `associate-l_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
3×	`associate-+l+_binary64`
2×	`log-pow_binary64` `-commutative_binary64` `flip3-+_binary64` `associate-r/_binary64` `flip-+_binary64` `diff-log_binary64` `sum-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
1×	`unswap-sqr_binary64` `neg-mul-1_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 89

Calls

4 calls:

8.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))
7.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
5.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
4.0ms	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))

Compiler

Compiled 2120 to 1318 computations (37.8% saved)

series154.0ms (3.5%)

Error

Counts

4 → 30

Calls

4 calls:

49.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
48.0ms	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))
18.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
14.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))

Compiler

Compiled 1040 to 794 computations (23.7% saved)

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

879×	`distribute-rgt-in_binary64`
310×	`cancel-sign-sub-inv_binary64`
286×	`distribute-rgt-neg-out_binary64`
285×	`distribute-lft-neg-out_binary64`
247×	`exp-prod_binary64`
234×	`distribute-rgt-neg-in_binary64`
212×	`associate-l_binary64`
187×	`distribute-lft-neg-in_binary64`
174×	`associate-r_binary64`
150×	`*-commutative_binary64`
127×	`log-prod_binary64`
114×	`neg-sub0_binary64`
98×	`neg-mul-1_binary64`
95×	`sub-neg_binary64`
84×	`distribute-lft-in_binary64`
67×	`distribute-neg-in_binary64`
58×	`+-commutative_binary64`
49×	`distribute-rgt-out_binary64`
48×	`exp-to-pow_binary64`
45×	`unsub-neg_binary64`
42×	`cube-prod_binary64`
37×	`exp-sum_binary64`
32×	`sqr-pow_binary64`
27×	`swap-sqr_binary64`
22×	`associate-+r+_binary64`
21×	`associate-+l+_binary64`
20×	`distribute-rgt-out--_binary64`
17×	`unpow3_binary64` `exp-diff_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
15×	`distribute-neg-out_binary64`
13×	`distribute-lft-out_binary64`
12×	`-rgt-identity_binary64` `-lft-identity_binary64`
11×	`unswap-sqr_binary64`
9×	`associate--l+_binary64`
8×	`mul-1-neg_binary64`
7×	`associate-+l-_binary64`
6×	`exp-lft-cube_binary64` `cube-mult_binary64` `associate-+r-_binary64`
5×	`sqr-neg_binary64`
4×	`log-div_binary64` `cube-unmult_binary64` `cube-neg_binary64` `times-frac_binary64` `difference-of-squares_binary64`
3×	`log-pow_binary64` `unpow1/3_binary64` `unpow1/2_binary64`
2×	`log-rec_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `sub0-neg_binary64` `+-inverses_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

119 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2111
1	561	1492
2	1678	1452
3	4709	1451
4	4967	1451

prune91.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	3	4	7
Picked	1	0	1
Done	0	2	2
Total	101	7	108

Error

Counts

108 → 7

Compiler

Compiled 1244 to 750 computations (39.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 1/3 (log.f64 (cbrt.f64 y)))
0.4b	(*.f64 (log.f64 (cbrt.f64 y)) -2/3)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite127.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64` `log-prod_binary64`
10×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `log-pow_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

5.0ms	(*.f64 1/3 (log.f64 (cbrt.f64 y)))
5.0ms	(*.f64 (log.f64 (cbrt.f64 y)) -2/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2026 to 1180 computations (41.8% saved)

series108.0ms (2.4%)

Error

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 (log.f64 (cbrt.f64 y)) -2/3)
28.0ms	(*.f64 1/3 (log.f64 (cbrt.f64 y)))
19.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

Compiler

Compiled 867 to 736 computations (15.1% saved)

simplify127.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

673×	`log-prod_binary64`
414×	`*-commutative_binary64`
401×	`unswap-sqr_binary64`
336×	`associate-l_binary64`
228×	`associate-r_binary64`
197×	`cancel-sign-sub-inv_binary64`
178×	`log-pow_binary64`
138×	`distribute-rgt-neg-out_binary64`
127×	`distribute-lft-neg-out_binary64`
123×	`log-div_binary64`
110×	`exp-prod_binary64` `sqr-pow_binary64`
107×	`associate-+l+_binary64`
106×	`associate-+r+_binary64`
90×	`exp-sum_binary64`
81×	`distribute-neg-in_binary64`
78×	`associate-/r*_binary64`
73×	`unsub-neg_binary64` `swap-sqr_binary64`
72×	`cube-prod_binary64`
68×	`distribute-rgt-in_binary64`
67×	`distribute-lft-in_binary64`
65×	`count-2_binary64`
46×	`distribute-rgt-neg-in_binary64`
45×	`fabs-mul_binary64`
44×	`exp-to-pow_binary64`
43×	`distribute-lft-neg-in_binary64`
42×	`sub-neg_binary64`
39×	`neg-mul-1_binary64`
37×	`neg-sub0_binary64`
35×	`pow-sqr_binary64` `distribute-rgt-out_binary64`
23×	`associate--r+_binary64`
18×	`*-rgt-identity_binary64`
16×	`exp-diff_binary64`
15×	`log-rec_binary64` `associate-/l/_binary64`
13×	`cube-unmult_binary64`
12×	`cube-neg_binary64` `sqr-neg_binary64`
11×	`*-lft-identity_binary64` `distribute-neg-out_binary64` `+-commutative_binary64`
10×	`cube-div_binary64` `div-sub_binary64` `remove-double-neg_binary64`
9×	`pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `associate-/l*_binary64`
8×	`exp-neg_binary64` `cancel-sign-sub_binary64`
7×	`prod-exp_binary64` `fabs-sqr_binary64`
6×	`unpow1/3_binary64` `unpow3_binary64`
5×	`cube-mult_binary64`
4×	`div-exp_binary64` `distribute-frac-neg_binary64` `associate-*r/_binary64`
3×	`unpow1/2_binary64` `rem-exp-log_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
2×	`rec-exp_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
1×	`log-E_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `+-rgt-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

86 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	112	927
1	187	785
2	473	779
3	1345	742
4	2363	722
5	4249	722
6	4995	722
7	4874	722

prune63.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Error

Counts

70 → 7

Compiler

Compiled 1066 to 691 computations (35.2% saved)

regimes928.0ms (20.8%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

Compiler

Compiled 10619 to 8881 computations (16.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	23	29
2	27	29
3	29	29
4	30	29
5	29	29

end1.0ms (0%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample852.0ms (19.1%)

Algorithm

1×

intervals

Results

376.0ms	7999×	body	128	valid
2.0ms	35×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 180 to 155 computations (13.9% saved)

Details

analyze390.0ms (8.8%)

sample22.0ms (0.5%)

simplify172.0ms (3.9%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite134.0ms (3%)

series224.0ms (5%)

simplify187.0ms (4.2%)

prune100.0ms (2.3%)

localize15.0ms (0.3%)

rewrite137.0ms (3.1%)

series126.0ms (2.8%)

simplify71.0ms (1.6%)

prune102.0ms (2.3%)

localize13.0ms (0.3%)

rewrite169.0ms (3.8%)

series154.0ms (3.5%)

simplify109.0ms (2.4%)

prune91.0ms (2%)

localize20.0ms (0.4%)

rewrite127.0ms (2.8%)

series108.0ms (2.4%)

simplify127.0ms (2.9%)

prune63.0ms (1.4%)

regimes928.0ms (20.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample852.0ms (19.1%)

Profiling