Details

analyze23.0ms (1.5%)

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)

sample19.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (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)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite147.0ms (9.5%)

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×	`distribute-lft-out--_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_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:

33.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1549 to 1162 computations (25% saved)

series66.0ms (4.3%)

Error

0.0b

Counts

3 → 34

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 809 to 679 computations (16.1% saved)

simplify154.0ms (10%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
230×	`times-frac_binary64` `div-sub_binary64`
226×	`sub-neg_binary64`
224×	`distribute-rgt-out_binary64`
175×	`distribute-rgt-neg-in_binary64`
172×	`associate-/l*_binary64`
150×	`distribute-lft-neg-in_binary64`
128×	`associate-/r*_binary64`
127×	`distribute-neg-in_binary64`
123×	`associate-+l+_binary64`
121×	`associate-l_binary64`
118×	`associate-+r+_binary64`
117×	`distribute-rgt-out--_binary64` `associate-r_binary64`
102×	`+-commutative_binary64`
90×	`distribute-lft-out_binary64`
87×	`distribute-lft-in_binary64`
83×	`distribute-neg-frac_binary64` `*-commutative_binary64`
80×	`cancel-sign-sub-inv_binary64`
78×	`unsub-neg_binary64`
77×	`unswap-sqr_binary64` `associate--r+_binary64`
68×	`associate-*l/_binary64`
58×	`associate-*r/_binary64`
55×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-/l/_binary64`
49×	`cube-prod_binary64`
48×	`associate-+l-_binary64`
46×	`associate-+r-_binary64`
40×	`associate-/r/_binary64`
37×	`unpow3_binary64` `distribute-lft-out--_binary64`
36×	`log-prod_binary64` `distribute-rgt1-in_binary64`
34×	`sqr-pow_binary64`
32×	`associate--l+_binary64`
30×	`cube-div_binary64`
28×	`log-div_binary64`
25×	`*-rgt-identity_binary64` `sub0-neg_binary64`
23×	`+-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`
13×	`distribute-lft1-in_binary64`
12×	`cancel-sign-sub_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64`
9×	`log-rec_binary64` `pow-plus_binary64`
8×	`distribute-neg-out_binary64`
4×	`log-pow_binary64` `distribute-rgt-neg-out_binary64` `associate--l-_binary64`
3×	`unpow1/2_binary64` `exp-sum_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` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-frac-neg_binary64`

Counts

134 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1914
1	408	1861
2	1017	1848
3	2772	1835
4	4598	1835
5	4977	1835
6	4926	1835

prune57.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 1034 to 752 computations (27.3% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (*.f64 x x))
15.3b	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))

rewrite44.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_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 → 42

Calls

2 calls:

6.0ms	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))
3.0ms	(+.f64 1 (*.f64 x x))

Compiler

Compiled 906 to 483 computations (46.7% saved)

series39.0ms (2.5%)

Error

Counts

2 → 16

Calls

2 calls:

21.0ms	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))
10.0ms	(+.f64 1 (*.f64 x x))

Compiler

Compiled 335 to 294 computations (12.2% saved)

simplify96.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

621×	`cancel-sign-sub-inv_binary64`
591×	`distribute-rgt-in_binary64`
522×	`div-sub_binary64`
265×	`distribute-rgt-out_binary64`
191×	`associate-l_binary64`
161×	`associate-r_binary64`
155×	`distribute-rgt-neg-in_binary64`
136×	`distribute-lft-neg-in_binary64`
127×	`distribute-lft-out_binary64`
120×	`sub-neg_binary64`
108×	`times-frac_binary64`
98×	`distribute-lft-in_binary64`
97×	`associate-/l*_binary64`
96×	`associate-/r*_binary64`
87×	`distribute-neg-in_binary64`
81×	`unswap-sqr_binary64`
73×	`*-commutative_binary64`
71×	`distribute-rgt-out--_binary64`
56×	`cube-prod_binary64` `unsub-neg_binary64`
51×	`associate-+l+_binary64`
49×	`associate-+r+_binary64`
43×	`+-commutative_binary64`
42×	`distribute-lft-neg-out_binary64`
41×	`log-prod_binary64`
37×	`neg-sub0_binary64`
35×	`sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
34×	`neg-mul-1_binary64` `associate-/l/_binary64` `associate--r+_binary64`
32×	`exp-prod_binary64`
28×	`distribute-rgt1-in_binary64`
27×	`associate-*l/_binary64`
26×	`associate-*r/_binary64`
24×	`associate-+l-_binary64`
21×	`log-div_binary64`
20×	`cube-div_binary64`
19×	`*-rgt-identity_binary64`
18×	`unpow3_binary64`
17×	`/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
16×	`distribute-lft-out--_binary64`
15×	`*-lft-identity_binary64`
14×	`distribute-lft1-in_binary64`
12×	`cube-mult_binary64`
11×	`cube-unmult_binary64` `sub0-neg_binary64` `difference-of-squares_binary64`
10×	`pow-plus_binary64` `distribute-neg-out_binary64`
9×	`difference-of-sqr-1_binary64`
8×	`distribute-neg-frac_binary64`
7×	`log-rec_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
6×	`mul-1-neg_binary64`
5×	`rem-sqrt-square_binary64`
4×	`unpow1/2_binary64` `cube-neg_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `associate--l-_binary64`
3×	`exp-sum_binary64` `div0_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_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` `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` `exp-neg_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` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

58 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1112
1	249	1019
2	640	1016
3	1932	1014
4	4434	1014
5	5179	1014

prune29.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 727 to 404 computations (44.4% saved)

regimes110.0ms (7.1%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Compiler

Compiled 1304 to 1064 computations (18.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

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` `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` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end1.0ms (0%)

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

sample728.0ms (47.2%)

Algorithm

1×

intervals

Results

242.0ms

8000×

body

128

valid

Compiler

Compiled 48 to 42 computations (12.5% saved)

Details

analyze23.0ms (1.5%)

sample19.0ms (1.3%)

simplify10.0ms (0.6%)

prune2.0ms (0.1%)

localize7.0ms (0.4%)

rewrite147.0ms (9.5%)

series66.0ms (4.3%)

simplify154.0ms (10%)

prune57.0ms (3.7%)

localize7.0ms (0.5%)

rewrite44.0ms (2.9%)

series39.0ms (2.5%)

simplify96.0ms (6.2%)

prune29.0ms (1.9%)

regimes110.0ms (7.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample728.0ms (47.2%)

Profiling