Details

analyze195.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

960×	`div-sub_binary64`
896×	`distribute-frac-neg_binary64`
520×	`sub-neg_binary64`
456×	`neg-mul-1_binary64`
420×	`neg-sub0_binary64`
392×	`cancel-sign-sub-inv_binary64`
354×	`associate-/r/_binary64`
336×	`distribute-rgt-in_binary64`
284×	`unsub-neg_binary64`
242×	`distribute-lft-neg-in_binary64`
232×	`associate-/l*_binary64`
200×	`*-commutative_binary64`
198×	`remove-double-neg_binary64` `distribute-rgt-neg-in_binary64`
152×	`distribute-lft-in_binary64`
150×	`+-commutative_binary64`
148×	`/-rgt-identity_binary64`
134×	`distribute-rgt-neg-out_binary64`
132×	`distribute-lft-neg-out_binary64`
124×	`associate--r+_binary64`
112×	`associate-+l-_binary64`
108×	`associate-/l/_binary64`
106×	`associate-/r*_binary64`
100×	`associate-r_binary64`
94×	`associate--l+_binary64`
90×	`associate--l-_binary64`
86×	`+-rgt-identity_binary64`
82×	`associate-+r-_binary64`
74×	`distribute-neg-in_binary64`
68×	`distribute-neg-frac_binary64`
66×	`associate-l_binary64`
62×	`cancel-sign-sub_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
54×	`distribute-neg-out_binary64` `associate--r-_binary64`
50×	`sub0-neg_binary64`
42×	`*-lft-identity_binary64`
40×	`mul0-rgt_binary64` `div0_binary64`
38×	`mul0-lft_binary64`
34×	`associate-*l/_binary64`
30×	`--rgt-identity_binary64`
28×	`*-rgt-identity_binary64`
18×	`distribute-lft-out--_binary64`
14×	`distribute-rgt-out--_binary64`
10×	`associate-*r/_binary64`
8×	`*-inverses_binary64` `distribute-rgt-out_binary64`
6×	`mul-1-neg_binary64` `+-lft-identity_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` `+-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	38	56
2	86	56
3	177	56
4	331	56
5	529	56
6	667	56
7	1052	56
8	1585	56
9	2006	56
10	3019	56
11	3537	56
12	3625	56
13	3505	56
14	4773	56
15	4715	56
16	5028	56
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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

494×	`sub-neg_binary64`
455×	`cancel-sign-sub-inv_binary64`
430×	`times-frac_binary64` `distribute-rgt-neg-in_binary64`
410×	`unswap-sqr_binary64`
364×	`div-sub_binary64`
315×	`distribute-lft-neg-in_binary64`
304×	`neg-mul-1_binary64`
280×	`associate-*l/_binary64`
272×	`associate-/l/_binary64`
256×	`neg-sub0_binary64`
250×	`distribute-frac-neg_binary64`
234×	`associate-/l*_binary64`
183×	`associate-*r/_binary64`
178×	`associate-/r/_binary64`
162×	`swap-sqr_binary64`
160×	`associate-/r*_binary64`
132×	`+-commutative_binary64`
126×	`distribute-neg-in_binary64`
121×	`distribute-neg-frac_binary64`
102×	`distribute-rgt-in_binary64`
101×	`unsub-neg_binary64`
86×	`remove-double-neg_binary64`
74×	`distribute-lft-in_binary64`
67×	`distribute-lft-neg-out_binary64`
61×	`associate--l-_binary64`
60×	`distribute-rgt-neg-out_binary64`
56×	`associate-r_binary64`
50×	`*-lft-identity_binary64`
48×	`associate-+l-_binary64`
47×	`associate--r+_binary64`
42×	`associate-+l+_binary64`
37×	`sub0-neg_binary64`
36×	`+-lft-identity_binary64` `associate--l+_binary64`
32×	`*-commutative_binary64`
29×	`*-rgt-identity_binary64`
28×	`associate-l_binary64`
24×	`--rgt-identity_binary64`
22×	`/-rgt-identity_binary64` `div0_binary64`
21×	`sqr-neg_binary64`
20×	`cancel-sign-sub_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64`
13×	`distribute-neg-out_binary64`
12×	`remove-double-div_binary64`
9×	`*-inverses_binary64`
6×	`associate--r-_binary64`
5×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`mul-1-neg_binary64` `associate-+r+_binary64`
3×	`distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`distribute-rgt-out_binary64`
1×	`1-exp_binary64` `distribute-lft1-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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	21	28
2	48	28
3	94	28
4	176	28
5	274	28
6	339	28
7	448	28
8	687	28
9	2046	28
10	3379	28
11	3727	28
12	4065	28
13	4286	28
14	4787	28

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

31.9b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
3.4b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
31.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite108.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

Rules

11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
7.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1846 to 956 computations (48.2% saved)

series119.0ms (2.8%)

Error

0.4b

Counts

3 → 42

Calls

3 calls:

45.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
32.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
29.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1085 to 892 computations (17.8% saved)

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-l_binary64`
404×	`associate-r_binary64`
249×	`unswap-sqr_binary64`
238×	`associate-/l*_binary64`
226×	`times-frac_binary64` `div-sub_binary64`
169×	`associate-*l/_binary64`
154×	`associate-/r*_binary64`
140×	`distribute-rgt-in_binary64`
134×	`*-commutative_binary64`
124×	`sub-neg_binary64`
123×	`distribute-lft-in_binary64` `associate-*r/_binary64`
114×	`cancel-sign-sub-inv_binary64`
100×	`distribute-rgt-neg-in_binary64`
91×	`exp-prod_binary64` `associate-/l/_binary64`
87×	`distribute-lft-neg-in_binary64`
82×	`neg-sub0_binary64`
76×	`neg-mul-1_binary64`
74×	`associate-/r/_binary64`
71×	`sqr-pow_binary64`
50×	`unsub-neg_binary64`
47×	`+-commutative_binary64`
43×	`cube-prod_binary64`
42×	`distribute-neg-frac_binary64`
37×	`associate-+l+_binary64`
22×	`difference-of-squares_binary64`
21×	`cube-div_binary64` `associate-+r+_binary64`
20×	`associate-+l-_binary64`
19×	`distribute-rgt-out_binary64`
16×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
15×	`associate-+r-_binary64`
14×	`*-rgt-identity_binary64`
12×	`cube-unmult_binary64`
11×	`unpow3_binary64` `exp-diff_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate--r+_binary64`
9×	`/-rgt-identity_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64`
8×	`pow-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
7×	`cube-mult_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`pow-plus_binary64`
4×	`remove-double-neg_binary64`
3×	`log-div_binary64` `unpow2_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64`
2×	`log-prod_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-inverses_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` `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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

97 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	2459
1	310	2283
2	945	2260
3	3947	2260
4	4934	2260

prune58.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	4	85

Error

7.8b

Counts

85 → 4

Compiler

Compiled 1625 to 771 computations (52.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) 4)
0.0b	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4))))
3.4b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
31.3b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))

rewrite221.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

90×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
57×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
16×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
10×	`pow1_binary64`
8×	`div-exp_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64` `associate-/l*_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 145

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4))))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))
6.0ms	(.f64 (.f64 y y) 4)
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 5541 to 2675 computations (51.7% saved)

series141.0ms (3.3%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

44.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4))))
39.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))
32.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
10.0ms	(.f64 (.f64 y y) 4)

Compiler

Compiled 1266 to 1092 computations (13.7% saved)

simplify216.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
347×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`
210×	`cancel-sign-sub-inv_binary64`
183×	`div-sub_binary64`
156×	`distribute-rgt-neg-in_binary64`
151×	`associate-l_binary64`
146×	`associate-r_binary64`
125×	`distribute-lft-neg-in_binary64`
118×	`*-commutative_binary64`
106×	`associate-/r/_binary64`
84×	`exp-prod_binary64`
75×	`cube-prod_binary64` `associate-*l/_binary64`
73×	`associate-/l/_binary64`
69×	`log-prod_binary64`
64×	`sub-neg_binary64`
59×	`unswap-sqr_binary64`
58×	`associate-/l*_binary64`
51×	`distribute-rgt-neg-out_binary64`
48×	`distribute-lft-neg-out_binary64`
47×	`associate-*r/_binary64`
45×	`neg-mul-1_binary64`
44×	`sqr-pow_binary64` `associate-/r*_binary64`
42×	`neg-sub0_binary64`
40×	`distribute-neg-frac_binary64`
33×	`*-rgt-identity_binary64`
32×	`+-commutative_binary64`
30×	`distribute-neg-in_binary64`
26×	`distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
25×	`exp-sum_binary64`
21×	`swap-sqr_binary64`
20×	`distribute-lft-out_binary64`
19×	`unsub-neg_binary64` `associate-+r+_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64` `*-lft-identity_binary64`
12×	`associate--r+_binary64`
11×	`exp-diff_binary64`
10×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64`
9×	`log-div_binary64` `associate-+l+_binary64`
8×	`cube-mult_binary64`
7×	`associate-+r-_binary64`
6×	`pow-plus_binary64` `cube-div_binary64` `cube-neg_binary64`
4×	`log-rec_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `exp-neg_binary64` `+-rgt-identity_binary64`
2×	`log-pow_binary64` `unpow1_binary64` `prod-exp_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `div0_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` `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` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

193 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	6925
1	560	6428
2	1944	6392
3	4728	6392
4	5158	6392

prune83.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Error

7.8b

Counts

133 → 4

Compiler

Compiled 2445 to 1197 computations (51% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.4b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
31.3b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
31.3b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
31.3b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))

rewrite234.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

28×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
27×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l_binary64` `associate-/r_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
4×	`pow1_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
6.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 8081 to 3512 computations (56.5% saved)

series241.0ms (5.7%)

Error

7.8b

Counts

4 → 66

Calls

4 calls:

56.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
56.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
55.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
40.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 5846 to 3362 computations (42.5% saved)

simplify206.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

451×	`cancel-sign-sub-inv_binary64`
323×	`div-sub_binary64`
318×	`times-frac_binary64`
256×	`*-commutative_binary64`
242×	`associate-/l*_binary64`
199×	`unsub-neg_binary64`
176×	`unswap-sqr_binary64`
173×	`distribute-rgt-in_binary64`
152×	`distribute-lft-in_binary64`
132×	`associate-/r*_binary64`
128×	`sub-neg_binary64`
125×	`neg-sub0_binary64`
122×	`neg-mul-1_binary64`
85×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
83×	`associate-*l/_binary64`
77×	`sqr-pow_binary64`
76×	`associate-l_binary64`
67×	`exp-prod_binary64`
65×	`associate-*r/_binary64`
61×	`distribute-lft-neg-in_binary64`
55×	`cube-prod_binary64`
51×	`associate-+l+_binary64`
48×	`associate-/l/_binary64`
43×	`associate-+r+_binary64`
41×	`distribute-lft-neg-out_binary64`
38×	`associate-/r/_binary64`
37×	`distribute-rgt-neg-out_binary64`
32×	`exp-diff_binary64`
27×	`swap-sqr_binary64`
25×	`+-commutative_binary64`
22×	`unpow3_binary64`
19×	`associate-+l-_binary64`
17×	`associate-+r-_binary64`
15×	`distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
14×	`remove-double-neg_binary64`
12×	`cube-div_binary64` `difference-of-squares_binary64`
11×	`cube-unmult_binary64`
10×	`distribute-lft-out_binary64` `associate--l+_binary64`
9×	`cube-mult_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
8×	`pow-plus_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
7×	`exp-sum_binary64` `cube-neg_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`
6×	`div0_binary64`
4×	`unpow2_binary64` `*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
3×	`log-div_binary64` `log-prod_binary64` `sqr-neg_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `*-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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-1-e_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` `mul-1-neg_binary64` `+-lft-identity_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` `count-2_binary64`

Counts

170 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	5428
1	305	5035
2	953	5035
3	3129	5035
4	4956	4981
5	4940	4981

prune81.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Error

7.8b

Counts

92 → 4

Compiler

Compiled 3421 to 1527 computations (55.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
17.2b	(/.f64 (.f64 y y) (.f64 x x))

rewrite67.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`times-frac_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
6.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 937 to 356 computations (62% saved)

series48.0ms (1.1%)

Error

7.8b

Counts

2 → 12

Calls

2 calls:

25.0ms	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
21.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 275 to 275 computations (0% saved)

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

720×	`times-frac_binary64`
468×	`associate-*l/_binary64`
415×	`associate-*r/_binary64`
414×	`associate-/l*_binary64`
389×	`associate-l_binary64`
368×	`associate-r_binary64`
352×	`unswap-sqr_binary64`
268×	`associate-/r*_binary64`
138×	`log-prod_binary64`
119×	`associate-/r/_binary64`
100×	`associate-/l/_binary64`
91×	`log-div_binary64`
89×	`*-commutative_binary64`
63×	`cube-prod_binary64`
60×	`associate-+l+_binary64`
58×	`unpow3_binary64`
48×	`cube-div_binary64` `sqr-pow_binary64`
46×	`swap-sqr_binary64`
44×	`sub-neg_binary64`
35×	`exp-prod_binary64` `associate-+l-_binary64`
32×	`associate--l+_binary64`
21×	`associate--r+_binary64` `associate-+r-_binary64`
18×	`log-pow_binary64` `cancel-sign-sub-inv_binary64` `+-commutative_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
11×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
10×	`cube-unmult_binary64` `pow-sqr_binary64` `distribute-lft-in_binary64`
7×	`pow-plus_binary64`
6×	`distribute-neg-in_binary64` `associate-+r+_binary64`
5×	`cube-mult_binary64` `count-2_binary64`
4×	`associate--l-_binary64`
3×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `sub0-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-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` `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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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`

Counts

63 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1089
1	186	805
2	684	756
3	3582	723
4	4889	723
5	4979	723
6	4963	723

prune26.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	45	9	54

Error

4.2b

Counts

54 → 9

Compiler

Compiled 302 to 157 computations (48% saved)

regimes838.0ms (19.8%)

Accuracy

Total 12.5b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 7585 to 4971 computations (34.5% saved)

bsearch78.0ms (1.8%)

Steps

Iters	Range		Point
8	5.776694826601437e+172	1.0390252108405926e+176	5.841742874771862e+172
5	2.534991887378767e+172	5.776694826601437e+172	5.71734574737866e+172
9	2.71204713353178e+85	4.497583152089661e+91	2.8060004685656228e+85
5	4.769523631297641e+69	1.4449619568755028e+70	1.4090580343274923e+70
6	5.835443235693084e-156	8.292379389332737e-155	7.088159935425954e-155
9	-1.1562707042959026e-153	-5.454028823302686e-163	-1.6932163406705725e-159
2	-6.040526082016531e+87	-2.595947511975047e+87	-4.833721844680349e+87

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
12×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`distribute-rgt-neg-in_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
1×	`if-if-or-not_binary64` `1-exp_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-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` `if-if-and-not_binary64` `if-if-and_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` `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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	85	215
2	105	215
3	118	215
4	128	215
5	132	215
6	133	215
7	129	215

end3.0ms (0.1%)

Compiler: Compiled 145 to 86 computations (40.7% saved)

sample868.0ms (20.5%)

Algorithm

1×

intervals

Results

353.0ms

8000×

body

128

valid

Compiler

Compiled 411 to 263 computations (36% saved)

Details

analyze195.0ms (4.6%)

sample18.0ms (0.4%)

simplify112.0ms (2.6%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite108.0ms (2.6%)

series119.0ms (2.8%)

simplify108.0ms (2.6%)

prune58.0ms (1.4%)

localize13.0ms (0.3%)

rewrite221.0ms (5.2%)

series141.0ms (3.3%)

simplify216.0ms (5.1%)

prune83.0ms (2%)

localize17.0ms (0.4%)

rewrite234.0ms (5.5%)

series241.0ms (5.7%)

simplify206.0ms (4.9%)

prune81.0ms (1.9%)

localize7.0ms (0.2%)

rewrite67.0ms (1.6%)

series48.0ms (1.1%)

simplify102.0ms (2.4%)

prune26.0ms (0.6%)

regimes838.0ms (19.8%)

bsearch78.0ms (1.8%)

simplify13.0ms (0.3%)

end3.0ms (0.1%)

sample868.0ms (20.5%)

Profiling