Details

analyze23.0ms (1.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `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` `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-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample14.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `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` `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-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))

rewrite144.0ms (9.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`difference-of-squares_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `difference-of-sqr-1_binary64`
3×	`div-exp_binary64` `div-inv_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64` `frac-add_binary64` `+-commutative_binary64`

Counts

3 → 100

Calls

3 calls:

30.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
10.0ms	(/.f64 x (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1549 to 1162 computations (25% saved)

series65.0ms (4.5%)

Error

0.0b

Counts

3 → 35

Calls

3 calls:

17.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
14.0ms	(/.f64 x (+.f64 x 1))
12.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 814 to 684 computations (16% saved)

simplify149.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

585×	`cancel-sign-sub-inv_binary64`
416×	`distribute-rgt-in_binary64`
230×	`times-frac_binary64` `div-sub_binary64`
204×	`sub-neg_binary64`
195×	`distribute-rgt-out_binary64`
173×	`associate-/l*_binary64`
153×	`distribute-rgt-neg-in_binary64`
148×	`associate-/r*_binary64`
146×	`neg-mul-1_binary64`
128×	`distribute-lft-neg-in_binary64`
119×	`associate-+l+_binary64`
112×	`distribute-rgt-out--_binary64` `associate-+r+_binary64`
109×	`associate-l_binary64`
105×	`associate-r_binary64`
101×	`+-commutative_binary64`
90×	`distribute-neg-in_binary64`
82×	`distribute-neg-frac_binary64`
80×	`distribute-lft-out_binary64`
77×	`unswap-sqr_binary64` `*-commutative_binary64`
76×	`distribute-lft-in_binary64`
67×	`associate-*l/_binary64`
63×	`unsub-neg_binary64`
59×	`associate-*r/_binary64` `associate--r+_binary64`
58×	`associate-/l/_binary64`
49×	`cube-prod_binary64`
47×	`neg-sub0_binary64`
45×	`associate-+l-_binary64` `associate-+r-_binary64`
43×	`associate-/r/_binary64`
41×	`distribute-lft-out--_binary64`
37×	`log-prod_binary64` `unpow3_binary64`
34×	`sqr-pow_binary64`
33×	`distribute-rgt1-in_binary64`
30×	`cube-div_binary64` `associate--l+_binary64`
28×	`log-div_binary64`
25×	`*-rgt-identity_binary64`
22×	`sub0-neg_binary64`
21×	`+-rgt-identity_binary64`
20×	`*-lft-identity_binary64` `difference-of-squares_binary64`
19×	`/-rgt-identity_binary64` `swap-sqr_binary64`
16×	`exp-prod_binary64`
15×	`distribute-lft-neg-out_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-lft1-in_binary64`
9×	`log-rec_binary64` `pow-plus_binary64`
5×	`distribute-neg-out_binary64`
4×	`log-pow_binary64` `distribute-rgt-neg-out_binary64` `associate--l-_binary64`
3×	`unpow1/2_binary64` `exp-sum_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`remove-double-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

135 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1940
1	400	1892
2	986	1880
3	2657	1869
4	4543	1869
5	4996	1869
6	4944	1869

prune55.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Error

Counts

100 → 3

Compiler

Compiled 1045 to 762 computations (27.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) -1)
14.1b	(/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) -1))

rewrite55.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`difference-of-sqr--1_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) -1))
4.0ms	(+.f64 (*.f64 x x) -1)

Compiler

Compiled 996 to 539 computations (45.9% saved)

series35.0ms (2.4%)

Error

Counts

2 → 17

Calls

2 calls:

17.0ms	(/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) -1))
11.0ms	(+.f64 (*.f64 x x) -1)

Compiler

Compiled 340 to 299 computations (12.1% saved)

simplify96.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

798×	`div-sub_binary64`
303×	`associate-l_binary64`
276×	`times-frac_binary64`
256×	`associate-r_binary64`
205×	`associate-/r*_binary64`
199×	`associate-/l*_binary64`
197×	`distribute-rgt-in_binary64`
159×	`distribute-lft-in_binary64`
110×	`exp-prod_binary64`
108×	`*-commutative_binary64`
82×	`neg-sub0_binary64`
67×	`associate-/l/_binary64`
63×	`log-prod_binary64`
62×	`neg-mul-1_binary64`
57×	`cancel-sign-sub-inv_binary64`
55×	`cube-prod_binary64`
54×	`associate-+l+_binary64`
51×	`associate-*l/_binary64`
47×	`associate-*r/_binary64` `associate-+r+_binary64`
45×	`+-commutative_binary64`
42×	`sub-neg_binary64`
37×	`unpow3_binary64`
36×	`log-div_binary64`
35×	`distribute-rgt-neg-in_binary64`
30×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
27×	`distribute-rgt-out_binary64`
25×	`associate-+l-_binary64`
24×	`distribute-neg-in_binary64`
22×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
21×	`distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
19×	`unswap-sqr_binary64` `associate--r+_binary64`
18×	`sqr-pow_binary64`
17×	`cube-div_binary64`
15×	`*-rgt-identity_binary64`
13×	`exp-diff_binary64` `distribute-lft-out_binary64`
12×	`unsub-neg_binary64` `distribute-frac-neg_binary64`
10×	`pow-plus_binary64`
9×	`log-rec_binary64` `cube-unmult_binary64`
8×	`associate--l-_binary64`
7×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
6×	`cube-neg_binary64` `swap-sqr_binary64` `associate--l+_binary64`
5×	`sqr-neg_binary64` `/-rgt-identity_binary64`
4×	`cube-mult_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`unpow1/2_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `*-inverses_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_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` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

64 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1249
1	255	1156
2	750	1154
3	3143	1154
4	4844	1154
5	4937	1154

prune37.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 858 to 481 computations (43.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 2 (*.f64 x x))

rewrite20.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`pow1_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 2 (*.f64 x x))

Compiler

Compiled 247 to 166 computations (32.8% saved)

series10.0ms (0.7%)

Error

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 2 (*.f64 x x))

Compiler

Compiled 49 to 49 computations (0% saved)

simplify101.0ms (7%)

Algorithm

1×	egg-herbie

Rules

506×	`unsub-neg_binary64`
375×	`distribute-neg-in_binary64`
297×	`sub-neg_binary64`
293×	`times-frac_binary64`
269×	`associate-/l/_binary64`
263×	`*-commutative_binary64`
228×	`neg-sub0_binary64`
225×	`neg-mul-1_binary64`
178×	`unswap-sqr_binary64`
170×	`associate-/l*_binary64`
168×	`associate-/r*_binary64`
154×	`sqr-pow_binary64`
147×	`associate-l_binary64`
136×	`distribute-rgt-in_binary64`
131×	`associate-*l/_binary64`
126×	`cancel-sign-sub_binary64`
114×	`cancel-sign-sub-inv_binary64`
107×	`associate--l+_binary64`
106×	`distribute-lft-in_binary64`
105×	`associate-+l+_binary64`
103×	`distribute-lft-neg-in_binary64`
101×	`associate-r_binary64`
98×	`log-prod_binary64`
97×	`associate--r+_binary64`
96×	`distribute-rgt-neg-in_binary64`
94×	`distribute-neg-out_binary64`
80×	`div-sub_binary64`
77×	`cube-prod_binary64`
66×	`associate-*r/_binary64`
65×	`associate-+r+_binary64`
64×	`associate-/r/_binary64`
61×	`distribute-rgt-out_binary64`
57×	`distribute-rgt-out--_binary64` `associate--l-_binary64`
53×	`distribute-lft-out--_binary64`
52×	`associate-+l-_binary64`
49×	`unpow3_binary64` `pow-sqr_binary64`
44×	`log-pow_binary64`
41×	`cube-mult_binary64`
40×	`distribute-lft-neg-out_binary64`
39×	`distribute-lft-out_binary64`
38×	`associate--r-_binary64`
35×	`pow-plus_binary64`
33×	`swap-sqr_binary64`
31×	`distribute-rgt-neg-out_binary64`
27×	`remove-double-neg_binary64`
24×	`+-commutative_binary64`
23×	`mul0-rgt_binary64` `mul0-lft_binary64`
22×	`div0_binary64`
18×	`log-div_binary64`
17×	`cube-div_binary64`
16×	`*-rgt-identity_binary64`
15×	`*-lft-identity_binary64`
14×	`sub0-neg_binary64` `associate-+r-_binary64`
13×	`+-rgt-identity_binary64`
11×	`count-2_binary64`
10×	`--rgt-identity_binary64`
9×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
6×	`distribute-lft1-in_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `+-lft-identity_binary64`
3×	`unpow1/2_binary64`
1×	`1-exp_binary64` `rem-sqrt-square_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` `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-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` `*-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`

Counts

24 → 13

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	266
1	85	221
2	164	212
3	417	212
4	1550	212
5	2093	212
6	3414	212
7	3973	212
8	4671	212
9	4675	212

prune5.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Error

Counts

16 → 3

Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes83.0ms (5.7%)

Accuracy

Total 0.0b remaining (93.8%)

Threshold costs 0.0b (93.8%)

Compiler

Compiled 843 to 716 computations (15.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `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	11	22
1	18	22
2	19	22
3	17	22

end1.0ms (0.1%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample524.0ms (36.2%)

Algorithm

1×

intervals

Results

246.0ms

8000×

body

128

valid

Compiler

Compiled 58 to 51 computations (12.1% saved)

Details

analyze23.0ms (1.6%)

sample14.0ms (1%)

simplify9.0ms (0.6%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

rewrite144.0ms (9.9%)

series65.0ms (4.5%)

simplify149.0ms (10.3%)

prune55.0ms (3.8%)

localize5.0ms (0.4%)

rewrite55.0ms (3.8%)

series35.0ms (2.4%)

simplify96.0ms (6.6%)

prune37.0ms (2.5%)

localize4.0ms (0.3%)

rewrite20.0ms (1.4%)

series10.0ms (0.7%)

simplify101.0ms (7%)

prune5.0ms (0.4%)

regimes83.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0.1%)

sample524.0ms (36.2%)

Profiling