Details

analyze81.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

14×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate--r+_binary64`
8×	`neg-mul-1_binary64` `associate--r-_binary64`
6×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
4×	`neg-sub0_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `distribute-rgt-in_binary64` `-commutative_binary64`
2×	`unsub-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `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--l-_binary64` `associate--l+_binary64` `associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	15	22
2	23	22
3	33	22
4	47	22
5	74	22
6	82	22
7	88	22
8	74	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify11.0ms (1%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64` `associate--r-_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64` `+-commutative_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	14	11
3	20	11
4	26	11
5	41	11
6	64	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite25.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 412 to 88 computations (78.6% saved)

series17.0ms (1.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify70.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

603×	`unsub-neg_binary64`
532×	`div-sub_binary64`
443×	`associate-l_binary64`
410×	`distribute-rgt-in_binary64`
385×	`distribute-lft-in_binary64`
273×	`associate-/l/_binary64`
248×	`times-frac_binary64`
242×	`associate-/l*_binary64`
222×	`neg-sub0_binary64`
200×	`neg-mul-1_binary64`
136×	`associate-/r/_binary64`
126×	`associate-/r*_binary64`
106×	`associate-*l/_binary64`
88×	`sub-neg_binary64`
82×	`distribute-rgt-neg-out_binary64`
78×	`distribute-frac-neg_binary64`
70×	`associate-*r/_binary64`
67×	`distribute-lft-neg-out_binary64`
44×	`*-commutative_binary64`
41×	`associate-r_binary64`
23×	`*-lft-identity_binary64`
21×	`cancel-sign-sub-inv_binary64`
18×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
15×	`div0_binary64`
14×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
13×	`*-rgt-identity_binary64` `unswap-sqr_binary64` `associate-+l+_binary64`
10×	`distribute-neg-out_binary64` `associate--l-_binary64` `associate-+l-_binary64`
9×	`sqr-pow_binary64` `+-commutative_binary64`
8×	`distribute-lft-out_binary64` `associate-+r+_binary64`
7×	`sqr-neg_binary64`
6×	`cube-unmult_binary64` `distribute-neg-frac_binary64`
5×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
4×	`log-div_binary64` `--rgt-identity_binary64`
3×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+r-_binary64`
2×	`log-prod_binary64` `cube-div_binary64` `cube-prod_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `log-pow_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-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

33 → 7

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	619
1	94	573
2	212	573
3	576	573
4	1599	573
5	4371	573
6	5220	573

prune5.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Error

0.0b

Counts

8 → 2

Compiler

Compiled 83 to 28 computations (66.3% saved)

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.3b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
0.3b	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))

rewrite82.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
35×	`sqrt-prod_binary64`
22×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`unswap-sqr_binary64` `associate-l_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 113

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
4.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 2305 to 328 computations (85.8% saved)

series71.0ms (6.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

24.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
17.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
15.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
13.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 649 to 397 computations (38.8% saved)

simplify179.0ms (15.8%)

Algorithm

1×	egg-herbie

Rules

463×	`div-sub_binary64`
392×	`unswap-sqr_binary64`
382×	`associate-/l*_binary64`
300×	`times-frac_binary64`
285×	`associate-l_binary64`
256×	`sub-neg_binary64`
235×	`associate-*l/_binary64`
212×	`associate-r_binary64`
198×	`associate--r+_binary64`
196×	`associate-/l/_binary64`
184×	`associate-*r/_binary64`
179×	`sqr-pow_binary64`
160×	`unsub-neg_binary64`
142×	`distribute-rgt-in_binary64`
129×	`associate--r-_binary64`
108×	`distribute-lft-in_binary64`
90×	`associate-/r*_binary64`
72×	`log-prod_binary64`
71×	`log-div_binary64`
64×	`cube-div_binary64` `neg-mul-1_binary64`
62×	`cancel-sign-sub-inv_binary64`
61×	`neg-sub0_binary64`
60×	`*-commutative_binary64`
58×	`cube-prod_binary64`
57×	`associate-/r/_binary64`
55×	`*-lft-identity_binary64` `pow-sqr_binary64`
50×	`remove-double-div_binary64`
48×	`exp-prod_binary64` `associate-+l+_binary64`
45×	`*-rgt-identity_binary64` `+-commutative_binary64`
43×	`associate--l+_binary64`
41×	`rem-sqrt-square_binary64`
38×	`associate-+l-_binary64`
37×	`distribute-neg-in_binary64`
30×	`associate--l-_binary64`
29×	`/-rgt-identity_binary64`
24×	`associate-+r+_binary64`
22×	`log-rec_binary64` `unpow3_binary64` `swap-sqr_binary64`
20×	`cube-mult_binary64` `distribute-neg-out_binary64`
17×	`sqr-neg_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`distribute-rgt-neg-out_binary64`
13×	`associate-+r-_binary64`
12×	`distribute-lft-neg-in_binary64`
10×	`unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-in_binary64`
9×	`pow-plus_binary64` `--rgt-identity_binary64`
8×	`exp-diff_binary64`
7×	`cube-unmult_binary64` `+-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
6×	`log-pow_binary64`
5×	`count-2_binary64`
4×	`remove-double-neg_binary64`
3×	`unpow2_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
2×	`unpow1_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `div0_binary64` `distribute-rgt1-in_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` `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` `prod-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` `mul-1-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

137 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2745
1	203	2454
2	686	2398
3	2152	2398
4	2636	2398
5	4222	2398
6	4744	2398
7	5443	2398

prune22.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

0.0b

Counts

71 → 2

Compiler

Compiled 824 to 141 computations (82.9% saved)

regimes42.0ms (3.7%)

Accuracy

Total 0.0b remaining (34.1%)

Threshold costs 0.0b (34.1%)

Compiler

Compiled 291 to 224 computations (23% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_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	7	11
1	9	11
2	14	11
3	16	11
4	17	11
5	17	11

end1.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample495.0ms (43.7%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
4.0ms	177×	body	128	invalid

Compiler

Compiled 39 to 38 computations (2.6% saved)

Iter	Nodes	Cost
0	7	11
1	9	11
2	14	11
3	20	11
4	26	11
5	41	11
6	64	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	9	11
2	14	11
3	20	11
4	26	11
5	41	11
6	64	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze81.0ms (7.2%)

sample14.0ms (1.3%)

simplify11.0ms (1%)

prune1.0ms (0.1%)

localize5.0ms (0.4%)

rewrite25.0ms (2.2%)

series17.0ms (1.5%)

simplify70.0ms (6.2%)

prune5.0ms (0.4%)

localize7.0ms (0.6%)

rewrite82.0ms (7.3%)

series71.0ms (6.3%)

simplify179.0ms (15.8%)

prune22.0ms (1.9%)

regimes42.0ms (3.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end1.0ms (0.1%)

sample495.0ms (43.7%)

Profiling

Iter	Nodes	Cost
0	7	11
1	9	11
2	14	11
3	20	11
4	26	11
5	41	11
6	64	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11