Details

analyze22.0ms (0.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `+-commutative_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_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` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample29.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	60×	body	2048	valid
5.0ms	139×	body	128	valid
4.0ms	30×	body	1024	valid
2.0ms	18×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `+-commutative_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_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` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.7b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(atan.f64 (+.f64 N 1))
1.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

13.5b

Rules

5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`diff-atan_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 24

Calls

2 calls:

4.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
1.0ms	(atan.f64 (+.f64 N 1))

Compiler

Compiled 339 to 221 computations (34.8% saved)

series12.0ms (0.5%)

Error

14.7b

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
4.0ms	(atan.f64 (+.f64 N 1))

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify88.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

632×	`unsub-neg_binary64`
532×	`neg-sub0_binary64`
514×	`neg-mul-1_binary64`
430×	`associate-l_binary64`
371×	`distribute-rgt-neg-in_binary64`
350×	`associate-r_binary64`
322×	`*-commutative_binary64`
320×	`distribute-rgt-neg-out_binary64`
305×	`distribute-lft-neg-out_binary64`
255×	`unswap-sqr_binary64`
223×	`distribute-rgt-in_binary64`
193×	`distribute-lft-in_binary64`
168×	`distribute-neg-in_binary64`
144×	`distribute-rgt-out_binary64`
135×	`cancel-sign-sub-inv_binary64`
128×	`sub-neg_binary64`
104×	`sqr-pow_binary64`
101×	`+-commutative_binary64`
86×	`times-frac_binary64`
84×	`remove-double-neg_binary64`
73×	`distribute-lft-out_binary64`
58×	`exp-prod_binary64`
56×	`distribute-lft-neg-in_binary64`
51×	`cancel-sign-sub_binary64`
49×	`div-sub_binary64`
46×	`difference-of-squares_binary64`
37×	`associate-+l-_binary64`
35×	`exp-sum_binary64` `distribute-neg-out_binary64`
33×	`associate-+r+_binary64`
32×	`pow-sqr_binary64`
30×	`associate-+l+_binary64`
28×	`mul0-rgt_binary64` `mul0-lft_binary64`
26×	`exp-diff_binary64` `swap-sqr_binary64` `associate--r+_binary64`
25×	`cube-prod_binary64`
24×	`pow-plus_binary64` `sub0-neg_binary64`
21×	`cube-unmult_binary64`
17×	`distribute-rgt-out--_binary64`
16×	`associate-+r-_binary64`
14×	`sqr-neg_binary64` `associate-/l*_binary64`
11×	`+-rgt-identity_binary64`
10×	`unpow3_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
8×	`log-prod_binary64`
7×	`mul-1-neg_binary64`
6×	`cube-neg_binary64` `--rgt-identity_binary64` `associate-/r*_binary64`
5×	`unpow2_binary64` `exp-neg_binary64` `distribute-rgt1-in_binary64`
4×	`rem-sqrt-square_binary64`
3×	`cube-mult_binary64` `*-lft-identity_binary64`
2×	`+-lft-identity_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `+-inverses_binary64` `distribute-lft-out--_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_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-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

30 → 8

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	423
1	101	400
2	185	391
3	553	391
4	1681	391
5	2674	391
6	4338	391
7	4998	391

prune6.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Error

0.2b

Counts

9 → 2

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (*.f64 N (+.f64 N 1)))
0.2b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

4×	`add-log-exp_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `associate-+r+_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`

Counts

2 → 20

Calls

2 calls:

3.0ms	(+.f64 1 (*.f64 N (+.f64 N 1)))
0.0ms	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 349 to 277 computations (20.6% saved)

series26.0ms (1%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

13.0ms	(+.f64 1 (*.f64 N (+.f64 N 1)))
8.0ms	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 169 to 151 computations (10.7% saved)

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-+l+_binary64`
637×	`associate-+r+_binary64`
407×	`sub-neg_binary64`
204×	`distribute-rgt-in_binary64`
202×	`distribute-rgt-out_binary64`
192×	`distribute-rgt-out--_binary64`
172×	`associate-l_binary64`
168×	`unswap-sqr_binary64`
167×	`distribute-lft-in_binary64`
140×	`*-commutative_binary64`
135×	`unsub-neg_binary64`
132×	`associate-r_binary64`
115×	`distribute-rgt1-in_binary64`
100×	`distribute-rgt-neg-in_binary64`
98×	`neg-mul-1_binary64`
95×	`cancel-sign-sub-inv_binary64`
92×	`distribute-lft1-in_binary64`
87×	`distribute-lft-neg-in_binary64`
85×	`neg-sub0_binary64` `associate--l+_binary64`
81×	`distribute-lft-out_binary64`
79×	`distribute-lft-out--_binary64`
72×	`+-commutative_binary64`
71×	`associate--l-_binary64`
68×	`sqr-pow_binary64`
62×	`associate--r+_binary64`
57×	`exp-prod_binary64` `associate--r-_binary64`
54×	`distribute-neg-in_binary64`
53×	`associate-+l-_binary64`
38×	`associate-+r-_binary64`
29×	`cube-prod_binary64`
28×	`associate-/l*_binary64`
26×	`exp-sum_binary64` `distribute-neg-out_binary64`
24×	`sub0-neg_binary64`
22×	`difference-of-squares_binary64`
21×	`rem-sqrt-square_binary64`
19×	`+-rgt-identity_binary64`
18×	`swap-sqr_binary64`
16×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64`
14×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate-/l/_binary64`
13×	`pow-plus_binary64`
12×	`div-sub_binary64` `cancel-sign-sub_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
11×	`associate-*r/_binary64`
10×	`times-frac_binary64`
8×	`unpow3_binary64` `cube-unmult_binary64` `associate-/r/_binary64`
6×	`unpow1/2_binary64` `exp-diff_binary64` `difference-of-sqr-1_binary64`
4×	`cube-mult_binary64`
2×	`log-prod_binary64` `prod-exp_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `count-2_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

32 → 24

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	456
1	113	408
2	316	408
3	1014	408
4	3487	405
5	4632	405
6	5074	405

prune21.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Error

0.2b

Counts

26 → 5

Compiler

Compiled 323 to 200 computations (38.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N)))) (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N))))) (cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))))
13.8b	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
13.8b	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
13.8b	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))

rewrite105.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`

Counts

4 → 49

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
4.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
4.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
0.0ms	(atan2.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N)))) (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N))))) (cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))))

Compiler

Compiled 1867 to 1095 computations (41.3% saved)

series106.0ms (4.2%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

25.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
22.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
22.0ms	(cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))
7.0ms	(atan2.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N)))) (cbrt.f64 (+.f64 N (+.f64 1 (.f64 N N))))) (cbrt.f64 (+.f64 N (+.f64 1 (*.f64 N N))))))

Compiler

Compiled 2022 to 1515 computations (25.1% saved)

simplify131.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

570×	`unsub-neg_binary64`
424×	`associate-l_binary64`
353×	`associate-r_binary64`
314×	`associate-+l+_binary64`
312×	`distribute-rgt-in_binary64`
303×	`unswap-sqr_binary64`
279×	`sub-neg_binary64`
251×	`distribute-lft-in_binary64`
237×	`associate-+r+_binary64`
202×	`cancel-sign-sub-inv_binary64`
135×	`neg-mul-1_binary64`
126×	`*-commutative_binary64`
124×	`neg-sub0_binary64`
118×	`associate--l+_binary64`
94×	`distribute-rgt-out_binary64` `associate-+l-_binary64`
92×	`+-commutative_binary64`
81×	`associate--r+_binary64`
70×	`difference-of-squares_binary64`
68×	`associate-+r-_binary64`
57×	`sqr-pow_binary64`
53×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out--_binary64`
46×	`cancel-sign-sub_binary64`
45×	`associate-/r*_binary64`
44×	`distribute-lft-neg-in_binary64`
40×	`sub0-neg_binary64`
38×	`*-rgt-identity_binary64`
37×	`cube-prod_binary64`
35×	`distribute-neg-out_binary64`
33×	`+-rgt-identity_binary64`
30×	`cube-unmult_binary64` `distribute-lft-out_binary64`
29×	`pow-plus_binary64`
26×	`*-lft-identity_binary64`
19×	`distribute-neg-in_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`unpow3_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`swap-sqr_binary64`
10×	`mul0-lft_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
9×	`mul0-rgt_binary64`
7×	`sqr-neg_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
6×	`mul-1-neg_binary64`
4×	`unpow1/3_binary64` `+-inverses_binary64` `associate--r-_binary64`
3×	`cube-mult_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`log-prod_binary64` `exp-prod_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-3cbrt-lft_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

85 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1728
1	163	1701
2	357	1692
3	999	1665
4	3634	1665
5	4555	1665
6	4886	1665

prune45.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	46	6	52

Error

0.2b

Counts

52 → 6

Compiler

Compiled 1080 to 672 computations (37.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
0.7b	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))
13.6b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
13.6b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))

rewrite124.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))
2.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
0.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 2060 to 1346 computations (34.7% saved)

series38.0ms (1.5%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
9.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
8.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
6.0ms	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))

Compiler

Compiled 483 to 393 computations (18.6% saved)

simplify134.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64`
447×	`log-div_binary64`
345×	`sqr-pow_binary64`
308×	`associate-*r/_binary64`
266×	`associate-*l/_binary64`
245×	`*-commutative_binary64`
232×	`associate-/l*_binary64`
220×	`associate-+l+_binary64`
197×	`cube-div_binary64`
168×	`log-prod_binary64`
147×	`exp-prod_binary64`
134×	`cube-prod_binary64`
125×	`associate-/l/_binary64` `associate-+r+_binary64`
120×	`pow-sqr_binary64`
115×	`associate-/r/_binary64` `associate-l_binary64`
113×	`distribute-rgt-in_binary64`
101×	`distribute-lft-in_binary64`
78×	`associate-/r*_binary64`
76×	`swap-sqr_binary64`
68×	`associate-r_binary64`
61×	`+-commutative_binary64`
47×	`rem-sqrt-square_binary64`
34×	`log-pow_binary64` `pow-plus_binary64`
29×	`unpow3_binary64` `times-frac_binary64`
28×	`*-lft-identity_binary64`
24×	`exp-sqrt_binary64`
22×	`distribute-rgt-out_binary64`
21×	`cube-mult_binary64`
19×	`log-rec_binary64`
18×	`*-rgt-identity_binary64`
17×	`distribute-lft-out_binary64`
15×	`cube-unmult_binary64`
14×	`unpow1/2_binary64`
10×	`count-2_binary64`
8×	`unpow2_binary64` `exp-lft-sqr_binary64` `distribute-rgt1-in_binary64`
6×	`unpow1_binary64`
5×	`sub-neg_binary64` `distribute-lft1-in_binary64`
4×	`rem-square-sqrt_binary64`
3×	`remove-double-div_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

95 → 68

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	57	1895
1	79	1734
2	186	1690
3	396	1611
4	747	1485
5	1728	1485
6	3526	1475
7	4877	1475
8	5095	1475

prune42.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	68	6	74

Error

0.2b

Counts

74 → 6

Compiler

Compiled 710 to 468 computations (34.1% saved)

regimes289.0ms (11.3%)

Accuracy

Total 0.0b remaining (10.1%)

Threshold costs 0.0b (10.1%)

Compiler

Compiled 5194 to 3691 computations (28.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-commutative_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` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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	7	13
1	12	13
2	11	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample1.1s (44.8%)

Algorithm

1×

intervals

Results

393.0ms	2162×	body	2048	valid
150.0ms	4104×	body	128	valid
126.0ms	991×	body	1024	valid
52.0ms	501×	body	512	valid
17.0ms	242×	body	256	valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze22.0ms (0.9%)

sample29.0ms (1.2%)

simplify12.0ms (0.5%)

prune1.0ms (0%)

localize5.0ms (0.2%)

rewrite35.0ms (1.4%)

series12.0ms (0.5%)

simplify88.0ms (3.4%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite31.0ms (1.2%)

series26.0ms (1%)

simplify79.0ms (3.1%)

prune21.0ms (0.8%)

localize10.0ms (0.4%)

rewrite105.0ms (4.1%)

series106.0ms (4.2%)

simplify131.0ms (5.1%)

prune45.0ms (1.8%)

localize8.0ms (0.3%)

rewrite124.0ms (4.8%)

series38.0ms (1.5%)

simplify134.0ms (5.3%)

prune42.0ms (1.6%)

regimes289.0ms (11.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (44.8%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11