Details

analyze171.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

659×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
449×	`sqr-pow_binary64`
415×	`distribute-lft-neg-in_binary64`
356×	`associate-l_binary64`
303×	`*-commutative_binary64`
302×	`neg-sub0_binary64`
296×	`neg-mul-1_binary64`
222×	`cube-prod_binary64` `associate-r_binary64`
221×	`unsub-neg_binary64`
208×	`unswap-sqr_binary64`
177×	`pow-sqr_binary64`
173×	`distribute-rgt-in_binary64`
171×	`sub-neg_binary64`
132×	`unpow3_binary64`
110×	`distribute-lft-in_binary64`
109×	`distribute-lft-neg-out_binary64`
108×	`distribute-rgt-neg-out_binary64`
106×	`remove-double-neg_binary64`
98×	`associate--r+_binary64`
84×	`distribute-neg-in_binary64`
81×	`cube-mult_binary64`
61×	`+-commutative_binary64`
52×	`associate-+l-_binary64`
51×	`pow-plus_binary64`
45×	`sqr-neg_binary64`
44×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
36×	`sub0-neg_binary64`
29×	`--rgt-identity_binary64`
25×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
24×	`swap-sqr_binary64`
20×	`*-rgt-identity_binary64`
16×	`cancel-sign-sub_binary64`
12×	`cube-neg_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64`
5×	`distribute-rgt-out--_binary64` `associate-+r+_binary64`
4×	`associate--r-_binary64` `associate-+r-_binary64`
3×	`associate--l+_binary64` `associate-+l+_binary64`
2×	`+-rgt-identity_binary64`
1×	`1-exp_binary64` `distribute-lft-out--_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	42	13
3	87	13
4	134	13
5	166	13
6	232	13
7	397	13
8	512	13
9	942	13
10	1299	13
11	1900	13
12	2152	13
13	2275	13
14	2482	13
15	2756	13
16	3068	13
17	3972	13
18	4977	13
19	4679	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify160.0ms (7%)

Algorithm

1×	egg-herbie

Rules

659×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
449×	`sqr-pow_binary64`
415×	`distribute-lft-neg-in_binary64`
356×	`associate-l_binary64`
303×	`*-commutative_binary64`
302×	`neg-sub0_binary64`
296×	`neg-mul-1_binary64`
222×	`cube-prod_binary64` `associate-r_binary64`
221×	`unsub-neg_binary64`
208×	`unswap-sqr_binary64`
177×	`pow-sqr_binary64`
173×	`distribute-rgt-in_binary64`
171×	`sub-neg_binary64`
132×	`unpow3_binary64`
110×	`distribute-lft-in_binary64`
109×	`distribute-lft-neg-out_binary64`
108×	`distribute-rgt-neg-out_binary64`
106×	`remove-double-neg_binary64`
98×	`associate--r+_binary64`
84×	`distribute-neg-in_binary64`
81×	`cube-mult_binary64`
61×	`+-commutative_binary64`
52×	`associate-+l-_binary64`
51×	`pow-plus_binary64`
45×	`sqr-neg_binary64`
44×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
36×	`sub0-neg_binary64`
29×	`--rgt-identity_binary64`
25×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
24×	`swap-sqr_binary64`
20×	`*-rgt-identity_binary64`
16×	`cancel-sign-sub_binary64`
12×	`cube-neg_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64`
5×	`distribute-rgt-out--_binary64` `associate-+r+_binary64`
4×	`associate--r-_binary64` `associate-+r-_binary64`
3×	`associate--l+_binary64` `associate-+l+_binary64`
2×	`+-rgt-identity_binary64`
1×	`1-exp_binary64` `distribute-lft-out--_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	42	13
3	87	13
4	134	13
5	166	13
6	232	13
7	397	13
8	512	13
9	942	13
10	1299	13
11	1900	13
12	2152	13
13	2275	13
14	2482	13
15	2756	13
16	3068	13
17	3972	13
18	4977	13
19	4679	13

prune1.0ms (0.1%)

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

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite43.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `associate-r_binary64`
2×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-r/_binary64`
1×	`add-log-exp_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 407 to 261 computations (35.9% saved)

series20.0ms (0.9%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

14.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 102 to 93 computations (8.8% saved)

simplify70.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

529×	`unswap-sqr_binary64`
291×	`*-commutative_binary64`
267×	`times-frac_binary64`
218×	`distribute-rgt-neg-in_binary64`
195×	`distribute-lft-neg-in_binary64`
192×	`unsub-neg_binary64`
188×	`exp-prod_binary64`
163×	`distribute-lft-neg-out_binary64`
161×	`distribute-rgt-neg-out_binary64`
157×	`associate-+l+_binary64`
153×	`neg-mul-1_binary64`
151×	`associate-+r+_binary64`
150×	`neg-sub0_binary64`
133×	`distribute-rgt-in_binary64`
130×	`associate-l_binary64`
129×	`distribute-lft-in_binary64`
117×	`sqr-pow_binary64`
98×	`cancel-sign-sub-inv_binary64`
94×	`associate-r_binary64`
82×	`+-commutative_binary64`
56×	`exp-sum_binary64`
48×	`sub-neg_binary64`
46×	`cube-prod_binary64`
38×	`associate-/l*_binary64`
36×	`exp-diff_binary64`
35×	`distribute-neg-in_binary64`
30×	`log-prod_binary64`
29×	`associate-+l-_binary64`
26×	`sqr-neg_binary64` `distribute-neg-out_binary64`
25×	`*-rgt-identity_binary64`
24×	`*-lft-identity_binary64` `pow-sqr_binary64`
18×	`associate-/l/_binary64`
16×	`unpow3_binary64` `prod-exp_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `swap-sqr_binary64`
13×	`pow-plus_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
10×	`unpow1/2_binary64`
9×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-*r/_binary64`
8×	`exp-lft-sqr_binary64` `div-exp_binary64` `cube-mult_binary64` `cube-neg_binary64` `sub0-neg_binary64` `distribute-rgt-out_binary64` `associate-/r/_binary64`
6×	`log-div_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `associate--r+_binary64`
5×	`distribute-lft-out_binary64`
4×	`log-pow_binary64` `exp-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
3×	`exp-lft-cube_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-*l/_binary64`
1×	`log-rec_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

31 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	525
1	171	438
2	555	438
3	1245	438
4	2000	438
5	4425	438
6	5105	438

prune18.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	3	26

Error

0.0b

Counts

26 → 3

Compiler

Compiled 251 to 184 computations (26.7% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
0.0b	(*.f64 (pow.f64 x 3) -2)
0.2b	(.f64 3 (.f64 x x))

rewrite83.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `associate-r_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64`
2×	`*-commutative_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 61

Calls

3 calls:

7.0ms	(.f64 3 (.f64 x x))
6.0ms	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
6.0ms	(*.f64 (pow.f64 x 3) -2)

Compiler

Compiled 961 to 661 computations (31.2% saved)

series37.0ms (1.6%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

17.0ms	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
8.0ms	(*.f64 (pow.f64 x 3) -2)
8.0ms	(.f64 3 (.f64 x x))

Compiler

Compiled 256 to 224 computations (12.5% saved)

simplify95.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

537×	`distribute-rgt-neg-in_binary64`
411×	`log-prod_binary64` `*-commutative_binary64`
407×	`cancel-sign-sub-inv_binary64`
405×	`exp-prod_binary64`
192×	`cube-prod_binary64`
173×	`unswap-sqr_binary64`
166×	`associate-l_binary64`
163×	`swap-sqr_binary64`
162×	`associate-r_binary64`
149×	`sqr-pow_binary64`
116×	`distribute-lft-neg-out_binary64`
114×	`distribute-lft-neg-in_binary64`
101×	`distribute-rgt-neg-out_binary64`
100×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
80×	`unpow3_binary64`
75×	`unsub-neg_binary64`
65×	`distribute-rgt-in_binary64`
60×	`sub-neg_binary64`
52×	`distribute-lft-in_binary64`
43×	`pow-sqr_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
34×	`associate-+l+_binary64`
31×	`pow-plus_binary64`
30×	`associate-+r+_binary64`
29×	`log-pow_binary64`
26×	`cube-mult_binary64`
22×	`distribute-rgt-out--_binary64`
19×	`distribute-neg-out_binary64`
16×	`distribute-neg-in_binary64` `+-commutative_binary64`
11×	`distribute-lft-out--_binary64`
10×	`associate-/l*_binary64`
9×	`cube-unmult_binary64` `remove-double-neg_binary64`
8×	`*-rgt-identity_binary64` `cancel-sign-sub_binary64`
7×	`*-lft-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
6×	`exp-lft-sqr_binary64` `times-frac_binary64`
5×	`exp-lft-cube_binary64` `exp-diff_binary64` `exp-sum_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64`
4×	`unpow1/2_binary64` `prod-exp_binary64` `+-rgt-identity_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `difference-of-squares_binary64` `count-2_binary64`
2×	`unpow-1_binary64` `associate--r-_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `associate--l-_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r+_binary64`

Counts

73 → 48

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	878
1	242	824
2	943	779
3	2504	761
4	4661	755
5	5022	755

prune40.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

Counts

51 → 5

Compiler

Compiled 560 to 403 computations (28% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

rewrite75.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 52

Calls

2 calls:

7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))

Compiler

Compiled 883 to 635 computations (28.1% saved)

series34.0ms (1.5%)

Error

Counts

2 → 12

Calls

2 calls:

14.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
12.0ms	(.f64 x (-.f64 3 (.f64 x 2)))

Compiler

Compiled 258 to 227 computations (12% saved)

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

542×	`unswap-sqr_binary64`
487×	`unsub-neg_binary64`
335×	`neg-mul-1_binary64`
330×	`neg-sub0_binary64`
233×	`distribute-rgt-in_binary64`
229×	`distribute-lft-in_binary64`
213×	`*-commutative_binary64`
157×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
150×	`associate-l_binary64`
143×	`exp-prod_binary64`
140×	`sqr-pow_binary64`
133×	`associate-r_binary64`
108×	`+-commutative_binary64`
92×	`distribute-rgt-neg-in_binary64`
83×	`cancel-sign-sub-inv_binary64`
81×	`distribute-lft-neg-in_binary64`
70×	`associate-+r+_binary64`
62×	`associate-+l+_binary64`
53×	`sub-neg_binary64`
47×	`exp-sum_binary64`
42×	`*-rgt-identity_binary64`
38×	`*-lft-identity_binary64`
33×	`pow-sqr_binary64`
27×	`cube-prod_binary64`
25×	`div-sub_binary64` `swap-sqr_binary64`
22×	`associate-/l*_binary64`
21×	`exp-diff_binary64`
20×	`log-prod_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64`
10×	`+-rgt-identity_binary64`
9×	`cube-unmult_binary64` `sub0-neg_binary64`
8×	`exp-lft-sqr_binary64`
7×	`unpow3_binary64` `associate-+l-_binary64`
6×	`pow-plus_binary64` `prod-exp_binary64` `associate-/r*_binary64`
5×	`unpow1/2_binary64` `sqr-neg_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
4×	`log-pow_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `times-frac_binary64` `distribute-rgt-out--_binary64`
3×	`cube-neg_binary64` `count-2_binary64` `associate-/r/_binary64`
2×	`exp-lft-cube_binary64` `exp-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `div0_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_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-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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

64 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	968
1	200	812
2	658	812
3	1717	810
4	3158	810
5	5104	810

prune38.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Error

Counts

55 → 4

Compiler

Compiled 472 to 337 computations (28.6% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (.f64 x 2))))
0.0b	(+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))
0.2b	(.f64 (.f64 x x) (-.f64 27 (pow.f64 (*.f64 x 2) 3)))
7.3b	(/.f64 (.f64 (.f64 x x) (-.f64 27 (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))))

rewrite201.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`cancel-sign-sub-inv_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64` `sum-log_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64` `pow-prod-down_binary64` `sqr-pow_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64` `sub-neg_binary64` `unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `difference-of-squares_binary64` `+-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `unswap-sqr_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`

Counts

4 → 94

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 x x) (-.f64 27 (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))))
11.0ms	(.f64 (.f64 x x) (-.f64 27 (pow.f64 (*.f64 x 2) 3)))
10.0ms	(+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (.f64 x 2))))
8.0ms	(+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))

Compiler

Compiled 3988 to 3077 computations (22.8% saved)

series100.0ms (4.3%)

Error

Counts

4 → 27

Calls

4 calls:

23.0ms	(.f64 (.f64 x x) (-.f64 27 (pow.f64 (*.f64 x 2) 3)))
23.0ms	(/.f64 (.f64 (.f64 x x) (-.f64 27 (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))))
20.0ms	(+.f64 (.f64 3 3) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (.f64 x 2))))
16.0ms	(+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 3 (*.f64 x 2)))

Compiler

Compiled 1031 to 859 computations (16.7% saved)

simplify125.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac_binary64`
437×	`cancel-sign-sub-inv_binary64`
359×	`associate-l_binary64`
301×	`associate-r_binary64`
153×	`*-commutative_binary64`
116×	`unswap-sqr_binary64`
108×	`associate-/l*_binary64`
92×	`distribute-rgt-in_binary64`
80×	`distribute-lft-in_binary64`
74×	`sub-neg_binary64` `associate-*l/_binary64`
65×	`cube-prod_binary64`
56×	`sqr-pow_binary64`
53×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
49×	`associate-*r/_binary64`
47×	`log-div_binary64` `swap-sqr_binary64`
46×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64`
41×	`+-commutative_binary64`
37×	`distribute-lft-neg-in_binary64`
32×	`associate-/l/_binary64`
28×	`log-prod_binary64` `cube-div_binary64` `*-rgt-identity_binary64`
24×	`div-sub_binary64`
23×	`*-lft-identity_binary64`
22×	`associate-/r*_binary64`
19×	`distribute-lft-neg-out_binary64`
16×	`associate-/r/_binary64`
15×	`unsub-neg_binary64` `associate-+l+_binary64`
13×	`unpow3_binary64` `/-rgt-identity_binary64`
12×	`cube-mult_binary64`
11×	`distribute-rgt-out--_binary64` `associate--r+_binary64`
10×	`distribute-neg-in_binary64` `associate-+r+_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`pow-plus_binary64` `prod-exp_binary64` `cube-unmult_binary64` `associate--l+_binary64`
7×	`log-rec_binary64` `distribute-rgt-out_binary64`
6×	`pow-sqr_binary64`
5×	`exp-sum_binary64`
4×	`distribute-neg-frac_binary64`
3×	`exp-lft-sqr_binary64`
2×	`log-pow_binary64` `exp-lft-cube_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

121 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2953
1	571	2327
2	2550	2325
3	4984	2325
4	4909	2325

prune95.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 2018 to 1534 computations (24% saved)

regimes247.0ms (10.8%)

Accuracy

Total 0.1b remaining (84.6%)

Threshold costs 0.1b (84.6%)

Compiler

Compiled 3261 to 2598 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-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` `1-exp_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	9	16
1	13	16
2	13	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample509.0ms (22.2%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 98 to 85 computations (13.3% saved)

Details

analyze171.0ms (7.5%)

sample13.0ms (0.5%)

simplify160.0ms (7%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite43.0ms (1.9%)

series20.0ms (0.9%)

simplify70.0ms (3.1%)

prune18.0ms (0.8%)

localize6.0ms (0.3%)

rewrite83.0ms (3.6%)

series37.0ms (1.6%)

simplify95.0ms (4.2%)

prune40.0ms (1.7%)

localize7.0ms (0.3%)

rewrite75.0ms (3.3%)

series34.0ms (1.5%)

simplify82.0ms (3.6%)

prune38.0ms (1.7%)

localize14.0ms (0.6%)

rewrite201.0ms (8.8%)

series100.0ms (4.3%)

simplify125.0ms (5.4%)

prune95.0ms (4.2%)

regimes247.0ms (10.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample509.0ms (22.2%)

Profiling