Details

analyze217.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

141×	`associate-/l*_binary64`
135×	`cancel-sign-sub-inv_binary64`
96×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
88×	`sub-neg_binary64`
66×	`div-sub_binary64`
64×	`distribute-neg-frac_binary64`
63×	`unsub-neg_binary64`
57×	`associate-/r*_binary64`
53×	`distribute-lft-neg-out_binary64`
51×	`distribute-lft-in_binary64` `associate-r_binary64`
42×	`neg-mul-1_binary64`
37×	`distribute-lft-neg-in_binary64`
36×	`neg-sub0_binary64` `*-commutative_binary64`
33×	`associate--r+_binary64`
31×	`distribute-neg-in_binary64`
24×	`distribute-rgt-neg-out_binary64` `associate-/l/_binary64`
21×	`associate-/r/_binary64` `associate-*l/_binary64`
18×	`remove-double-neg_binary64` `+-commutative_binary64`
15×	`-lft-identity_binary64` `sub0-neg_binary64` `associate-l*_binary64` `associate-+l-_binary64`
12×	`+-lft-identity_binary64` `mul0-rgt_binary64`
9×	`mul0-lft_binary64` `associate-+l+_binary64`
6×	`--rgt-identity_binary64` `div0_binary64` `associate--r-_binary64`
4×	`associate-*r/_binary64`
3×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `mul-1-neg_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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	34	52
2	60	52
3	90	52
4	144	52
5	233	52
6	440	52
7	597	52
8	830	52
9	785	52
10	788	52
11	788	52
12	699	52
0	3	3
1	3	3

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (1.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify23.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

56×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
36×	`distribute-rgt-in_binary64` `associate-/l*_binary64`
33×	`distribute-neg-frac_binary64`
29×	`sub-neg_binary64`
24×	`associate-r_binary64`
23×	`unsub-neg_binary64` `associate-/r*_binary64`
21×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
19×	`distribute-lft-neg-in_binary64` `*-commutative_binary64`
18×	`div-sub_binary64` `neg-sub0_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
15×	`distribute-neg-in_binary64`
14×	`associate-l_binary64`
10×	`-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `+-commutative_binary64`
8×	`mul0-rgt_binary64`
7×	`remove-double-neg_binary64` `mul0-lft_binary64`
6×	`associate-*r/_binary64` `associate--r-_binary64`
5×	`sub0-neg_binary64` `+-lft-identity_binary64` `associate-+l-_binary64`
4×	`*-rgt-identity_binary64` `div0_binary64`
3×	`associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `+-rgt-identity_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` `mul-1-neg_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-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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	37	13
4	58	13
5	97	13
6	163	13
7	254	13
8	352	13
9	384	13
10	400	13
11	403	13
12	321	13

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite36.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`*-un-lft-identity_binary64` `times-frac_binary64`
8×	`add-cube-cbrt_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`

Counts

1 → 28

Calls

1 calls:

11.0ms

(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Compiler

Compiled 511 to 330 computations (35.4% saved)

series40.0ms (2.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

37.0ms

(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Compiler

Compiled 216 to 225 computations (-4.2% saved)

simplify74.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-/r/_binary64`
406×	`associate-/r*_binary64`
390×	`div-sub_binary64`
313×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
219×	`associate-*l/_binary64`
203×	`associate-/l*_binary64`
189×	`associate-*r/_binary64`
178×	`exp-prod_binary64`
171×	`associate-r_binary64`
168×	`associate-l_binary64`
115×	`distribute-lft-neg-out_binary64`
104×	`*-commutative_binary64`
97×	`distribute-rgt-neg-out_binary64`
93×	`cancel-sign-sub-inv_binary64`
89×	`distribute-neg-frac_binary64`
83×	`sub-neg_binary64`
75×	`unsub-neg_binary64`
71×	`associate-/l/_binary64`
60×	`distribute-rgt-neg-in_binary64`
58×	`cube-prod_binary64`
57×	`cube-div_binary64`
55×	`neg-sub0_binary64`
51×	`exp-diff_binary64`
50×	`neg-mul-1_binary64`
48×	`distribute-frac-neg_binary64`
47×	`swap-sqr_binary64`
45×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
43×	`times-frac_binary64`
40×	`exp-sum_binary64`
35×	`associate-+r+_binary64`
32×	`associate-+l+_binary64` `+-commutative_binary64`
28×	`unpow3_binary64`
27×	`unswap-sqr_binary64`
25×	`sqr-neg_binary64`
23×	`associate-+l-_binary64`
21×	`cube-mult_binary64` `distribute-rgt-out_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`cube-unmult_binary64`
11×	`div0_binary64`
10×	`exp-neg_binary64` `*-lft-identity_binary64` `distribute-lft-out_binary64`
9×	`associate-+r-_binary64`
8×	`difference-of-squares_binary64`
7×	`sub0-neg_binary64`
6×	`rem-sqrt-square_binary64` `*-rgt-identity_binary64` `+-rgt-identity_binary64` `associate--r+_binary64`
4×	`pow-plus_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
3×	`exp-sqrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `distribute-neg-in_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

46 → 33

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	585
1	271	558
2	727	546
3	2082	546
4	4495	546
5	5337	546

prune9.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 199 to 129 computations (35.2% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2))
0.1b	(pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3)
38.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3))

rewrite64.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-unpow_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3))
6.0ms	(pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3)
5.0ms	(+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2))

Compiler

Compiled 1208 to 828 computations (31.5% saved)

series171.0ms (10.3%)

Error

Counts

3 → 72

Calls

3 calls:

74.0ms	(pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3)
43.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2)) 3))
40.0ms	(+.f64 (.f64 -1/8 z) (/.f64 (.f64 x y) 2))

Compiler

Compiled 1589 to 1466 computations (7.7% saved)

simplify149.0ms (9%)

Algorithm

1×	egg-herbie

Rules

369×	`*-commutative_binary64`
316×	`unswap-sqr_binary64`
252×	`exp-prod_binary64`
248×	`distribute-rgt-in_binary64`
229×	`distribute-lft-in_binary64`
159×	`cancel-sign-sub-inv_binary64`
150×	`cube-prod_binary64`
140×	`associate-*r/_binary64`
139×	`log-prod_binary64` `associate-*l/_binary64`
132×	`unsub-neg_binary64`
120×	`neg-mul-1_binary64` `neg-sub0_binary64`
117×	`associate-r_binary64`
114×	`sub-neg_binary64`
104×	`associate-l_binary64`
97×	`exp-sum_binary64`
89×	`distribute-rgt-neg-in_binary64`
85×	`times-frac_binary64`
83×	`distribute-lft-neg-in_binary64`
77×	`sqr-pow_binary64`
73×	`associate-/l*_binary64`
42×	`unpow3_binary64`
37×	`log-pow_binary64`
36×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
34×	`swap-sqr_binary64`
30×	`cube-mult_binary64`
29×	`distribute-rgt-neg-out_binary64`
25×	`associate-/r/_binary64` `associate-+l+_binary64`
23×	`pow-plus_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `+-commutative_binary64`
21×	`exp-sqrt_binary64`
20×	`associate-+r+_binary64`
19×	`distribute-lft-out_binary64`
18×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
17×	`cube-unmult_binary64`
14×	`exp-neg_binary64` `div-sub_binary64`
13×	`associate--l+_binary64`
12×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
11×	`cube-div_binary64`
10×	`sqr-neg_binary64`
9×	`associate-/l/_binary64`
8×	`rem-cbrt-cube_binary64`
6×	`exp-diff_binary64` `associate--r+_binary64`
5×	`associate-/r*_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `count-2_binary64`
2×	`distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

131 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	3041
1	325	2810
2	1072	2728
3	3633	2728
4	4995	2728
5	4953	2728

prune34.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

99 → 2

Compiler

Compiled 816 to 524 computations (35.8% saved)

regimes184.0ms (11.1%)

Accuracy

Total 0.0b remaining (4.5%)

Threshold costs 0.0b (4.5%)

Compiler

Compiled 1131 to 1221 computations (-8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`distribute-neg-frac_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-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	10	13
1	13	13
2	20	13
3	24	13
4	27	13
5	28	13
6	28	13

end7.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 27 to 27 computations (0% saved)

sample606.0ms (36.5%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
21.0ms	436×	body	128	invalid

Compiler

Compiled 43 to 55 computations (-27.9% saved)

Iter	Nodes	Cost
0	21	52
1	34	52
2	60	52
3	90	52
4	144	52
5	233	52
6	440	52
7	597	52
8	830	52
9	785	52
10	788	52
11	788	52
12	699	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	37	13
4	58	13
5	97	13
6	163	13
7	254	13
8	352	13
9	384	13
10	400	13
11	403	13
12	321	13

Iter	Nodes	Cost
0	21	52
1	34	52
2	60	52
3	90	52
4	144	52
5	233	52
6	440	52
7	597	52
8	830	52
9	785	52
10	788	52
11	788	52
12	699	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	37	13
4	58	13
5	97	13
6	163	13
7	254	13
8	352	13
9	384	13
10	400	13
11	403	13
12	321	13

Details

analyze217.0ms (13.1%)

sample27.0ms (1.6%)

simplify23.0ms (1.4%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

rewrite36.0ms (2.2%)

series40.0ms (2.4%)

simplify74.0ms (4.5%)

prune9.0ms (0.6%)

localize9.0ms (0.5%)

rewrite64.0ms (3.9%)

series171.0ms (10.3%)

simplify149.0ms (9%)

prune34.0ms (2.1%)

regimes184.0ms (11.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end7.0ms (0.4%)

sample606.0ms (36.5%)

Profiling

Iter	Nodes	Cost
0	21	52
1	34	52
2	60	52
3	90	52
4	144	52
5	233	52
6	440	52
7	597	52
8	830	52
9	785	52
10	788	52
11	788	52
12	699	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	37	13
4	58	13
5	97	13
6	163	13
7	254	13
8	352	13
9	384	13
10	400	13
11	403	13
12	321	13