Details

analyze31.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `-rgt-identity_binary64` `associate-r_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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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-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--r-_binary64` `associate--l-_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	4	7
1	8	7
2	12	7
3	18	7
4	14	7
5	22	7
6	21	7
7	19	7
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%	37.5%	12.5%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample11.0ms (1.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2×	`-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `-rgt-identity_binary64` `associate-r_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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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-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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	8	7
2	12	7
3	18	7
4	14	7
5	22	7
6	21	7
7	19	7

prune1.0ms (0.2%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 3 computations (40% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))

rewrite13.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`

Counts

1 → 13

Calls

1 calls:

3.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 146 to 43 computations (70.5% saved)

series13.0ms (1.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

10.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify85.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

424×	`neg-mul-1_binary64`
418×	`unswap-sqr_binary64`
348×	`*-commutative_binary64`
347×	`sub-neg_binary64`
289×	`cancel-sign-sub-inv_binary64`
239×	`+-commutative_binary64`
213×	`distribute-rgt-out_binary64`
184×	`distribute-rgt-in_binary64`
175×	`unsub-neg_binary64`
174×	`distribute-lft-neg-out_binary64`
173×	`distribute-rgt-neg-out_binary64`
155×	`distribute-lft-in_binary64`
142×	`difference-of-squares_binary64`
118×	`distribute-rgt-neg-in_binary64`
115×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
113×	`exp-prod_binary64`
99×	`distribute-neg-in_binary64` `associate-l_binary64`
96×	`distribute-lft-out_binary64`
94×	`neg-sub0_binary64` `distribute-rgt-out--_binary64`
91×	`cube-prod_binary64`
88×	`associate-r_binary64` `associate-+l-_binary64`
84×	`associate-+l+_binary64`
81×	`associate-+r+_binary64`
71×	`associate--r+_binary64`
62×	`distribute-rgt1-in_binary64`
54×	`associate-+r-_binary64`
48×	`distribute-neg-out_binary64`
46×	`distribute-lft1-in_binary64`
42×	`sub0-neg_binary64`
41×	`div-sub_binary64`
39×	`pow-sqr_binary64`
37×	`sqr-neg_binary64`
35×	`pow-plus_binary64`
34×	`distribute-lft-out--_binary64`
32×	`times-frac_binary64` `associate--l+_binary64`
30×	`exp-sum_binary64`
26×	`log-prod_binary64`
25×	`unpow3_binary64`
24×	`swap-sqr_binary64`
21×	`exp-diff_binary64` `*-rgt-identity_binary64` `+-lft-identity_binary64`
20×	`*-lft-identity_binary64`
17×	`cube-unmult_binary64`
15×	`cube-mult_binary64`
14×	`+-rgt-identity_binary64` `associate-/l*_binary64`
13×	`remove-double-neg_binary64`
12×	`associate--r-_binary64`
11×	`associate-/l/_binary64`
9×	`cube-neg_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr--1_binary64`
7×	`associate-*r/_binary64`
5×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate-/r/_binary64` `associate--l-_binary64`
4×	`associate-/r*_binary64`
3×	`exp-neg_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `associate-*l/_binary64`
2×	`unpow1_binary64` `rem-sqrt-square_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_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-lft-cube_binary64` `exp-lft-sqr_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` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64`

Counts

19 → 10

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	189
1	83	165
2	224	165
3	706	165
4	1810	165
5	3450	165
6	4541	165
7	5054	165

prune7.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Error

Counts

11 → 2

Compiler

Compiled 65 to 32 computations (50.8% saved)

localize3.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 x 1))

rewrite19.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 228 to 151 computations (33.8% saved)

series11.0ms (1.5%)

Error

Counts

1 → 6

Calls

1 calls:

9.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify85.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

635×	`distribute-rgt-in_binary64`
504×	`distribute-lft-in_binary64`
475×	`unswap-sqr_binary64`
311×	`times-frac_binary64`
216×	`associate-+l+_binary64`
192×	`associate-*r/_binary64` `associate-+r+_binary64`
168×	`associate-*l/_binary64`
152×	`associate-l_binary64`
148×	`*-commutative_binary64`
128×	`distribute-rgt-out_binary64`
126×	`sqr-pow_binary64`
116×	`associate-r_binary64`
82×	`associate-/l*_binary64`
79×	`exp-prod_binary64`
76×	`difference-of-squares_binary64`
62×	`associate-/l/_binary64`
55×	`cancel-sign-sub-inv_binary64`
52×	`cube-prod_binary64`
49×	`distribute-lft-out_binary64`
47×	`associate-/r/_binary64`
45×	`*-rgt-identity_binary64`
44×	`rem-sqrt-square_binary64`
43×	`log-div_binary64` `cube-div_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64`
41×	`associate-/r*_binary64`
39×	`distribute-rgt1-in_binary64`
34×	`log-prod_binary64`
32×	`*-lft-identity_binary64`
29×	`sub-neg_binary64`
23×	`pow-plus_binary64` `distribute-rgt-neg-in_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`unpow3_binary64` `+-commutative_binary64`
18×	`distribute-rgt-out--_binary64`
14×	`exp-sqrt_binary64` `unsub-neg_binary64`
13×	`cube-unmult_binary64`
10×	`cube-mult_binary64` `swap-sqr_binary64`
9×	`exp-sum_binary64`
8×	`unpow1/2_binary64`
7×	`neg-sub0_binary64` `difference-of-sqr--1_binary64`
6×	`difference-of-sqr-1_binary64` `associate-+l-_binary64`
5×	`log-pow_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-+r-_binary64`
4×	`sub0-neg_binary64` `+-rgt-identity_binary64`
3×	`log-rec_binary64` `unpow2_binary64` `distribute-neg-frac_binary64`
2×	`exp-lft-sqr_binary64` `exp-diff_binary64` `neg-mul-1_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_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-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

29 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	266
1	114	233
2	299	232
3	732	230
4	2459	230
5	3343	230
6	4698	230
7	5431	230

prune7.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 134 to 51 computations (61.9% saved)

regimes36.0ms (5%)

Accuracy

Total 0.0b remaining (97.1%)

Threshold costs 0.0b (97.1%)

Compiler

Compiled 214 to 132 computations (38.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	5	7
2	5	7

end1.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

sample380.0ms (52.8%)

Algorithm

1×

intervals

Results

135.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 24 to 21 computations (12.5% saved)

Details

analyze31.0ms (4.4%)

sample11.0ms (1.5%)

simplify10.0ms (1.4%)

prune1.0ms (0.2%)

localize3.0ms (0.4%)

rewrite13.0ms (1.8%)

series13.0ms (1.7%)

simplify85.0ms (11.8%)

prune7.0ms (0.9%)

localize3.0ms (0.5%)

rewrite19.0ms (2.7%)

series11.0ms (1.5%)

simplify85.0ms (11.8%)

prune7.0ms (1%)

regimes36.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.5%)

end1.0ms (0.1%)

sample380.0ms (52.8%)

Profiling