Details

analyze68.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

581×	`associate-/r*_binary64`
516×	`cancel-sign-sub-inv_binary64`
510×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
415×	`associate-/r/_binary64`
333×	`associate-l_binary64`
267×	`associate-r_binary64`
258×	`div-sub_binary64`
232×	`times-frac_binary64`
184×	`associate-/l*_binary64`
153×	`swap-sqr_binary64`
130×	`*-commutative_binary64`
82×	`sub-neg_binary64`
78×	`unsub-neg_binary64`
67×	`*-rgt-identity_binary64`
63×	`associate-/l/_binary64`
42×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
32×	`associate-*l/_binary64` `associate-+l+_binary64`
31×	`*-lft-identity_binary64`
29×	`associate-*r/_binary64`
28×	`associate-+r+_binary64`
22×	`/-rgt-identity_binary64`
21×	`cube-div_binary64` `cube-prod_binary64`
20×	`distribute-rgt-out_binary64`
16×	`distribute-rgt-neg-in_binary64`
13×	`mul-1-neg_binary64`
12×	`sqr-pow_binary64`
10×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
8×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
7×	`remove-double-div_binary64` `distribute-neg-frac_binary64`
6×	`distribute-lft-out_binary64`
4×	`unpow3_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64`
3×	`pow-plus_binary64` `cube-mult_binary64`
2×	`cube-unmult_binary64` `*-inverses_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-+l-_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	39	28
2	177	19
3	904	13
4	2320	13
5	4069	13
6	5047	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-/r*_binary64`
516×	`cancel-sign-sub-inv_binary64`
510×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
415×	`associate-/r/_binary64`
333×	`associate-l_binary64`
267×	`associate-r_binary64`
258×	`div-sub_binary64`
232×	`times-frac_binary64`
184×	`associate-/l*_binary64`
153×	`swap-sqr_binary64`
130×	`*-commutative_binary64`
82×	`sub-neg_binary64`
78×	`unsub-neg_binary64`
67×	`*-rgt-identity_binary64`
63×	`associate-/l/_binary64`
42×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
32×	`associate-*l/_binary64` `associate-+l+_binary64`
31×	`*-lft-identity_binary64`
29×	`associate-*r/_binary64`
28×	`associate-+r+_binary64`
22×	`/-rgt-identity_binary64`
21×	`cube-div_binary64` `cube-prod_binary64`
20×	`distribute-rgt-out_binary64`
16×	`distribute-rgt-neg-in_binary64`
13×	`mul-1-neg_binary64`
12×	`sqr-pow_binary64`
10×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
8×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
7×	`remove-double-div_binary64` `distribute-neg-frac_binary64`
6×	`distribute-lft-out_binary64`
4×	`unpow3_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64`
3×	`pow-plus_binary64` `cube-mult_binary64`
2×	`cube-unmult_binary64` `*-inverses_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-+l-_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	39	28
2	177	19
3	904	13
4	2320	13
5	4069	13
6	5047	13

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.6b	(/.f64 1 (*.f64 i i))

rewrite95.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64`
35×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
12×	`difference-of-squares_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64` `associate-/r*_binary64`
8×	`distribute-lft-out--_binary64`
6×	`pow-flip_binary64` `div-inv_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64`
3×	`prod-exp_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64`
1×	`inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 81

Calls

2 calls:

7.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 1182 to 881 computations (25.5% saved)

series26.0ms (0.7%)

Error

0.0b

Counts

2 → 11

Calls

2 calls:

12.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
7.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 233 to 216 computations (7.3% saved)

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-/l*_binary64`
434×	`cancel-sign-sub-inv_binary64`
381×	`associate-/r*_binary64`
338×	`div-sub_binary64`
250×	`associate-/l/_binary64`
218×	`associate-/r/_binary64`
154×	`distribute-rgt-in_binary64`
143×	`distribute-rgt-neg-in_binary64`
128×	`distribute-lft-neg-in_binary64`
121×	`unswap-sqr_binary64`
118×	`distribute-lft-in_binary64`
106×	`sub-neg_binary64`
102×	`distribute-lft-out_binary64` `associate-l_binary64`
96×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-out_binary64`
83×	`associate-*l/_binary64`
76×	`associate-r_binary64`
65×	`times-frac_binary64` `*-commutative_binary64`
60×	`associate-*r/_binary64`
59×	`distribute-neg-in_binary64`
53×	`log-div_binary64`
48×	`cube-div_binary64`
47×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
40×	`log-prod_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64`
38×	`+-commutative_binary64`
37×	`distribute-lft-out--_binary64` `associate-+r+_binary64`
32×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
31×	`sqr-pow_binary64`
29×	`cube-prod_binary64`
27×	`associate-+l+_binary64`
26×	`exp-prod_binary64` `associate-+r-_binary64`
20×	`associate-+l-_binary64`
15×	`pow-plus_binary64`
14×	`sub0-neg_binary64` `distribute-frac-neg_binary64`
13×	`*-rgt-identity_binary64` `swap-sqr_binary64`
11×	`unpow3_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64`
7×	`/-rgt-identity_binary64`
5×	`log-pow_binary64` `log-rec_binary64`
4×	`exp-sum_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--l+_binary64`
3×	`exp-diff_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`

Counts

92 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1380
1	287	1287
2	648	1247
3	1548	1247
4	4486	1247
5	4978	1247

prune44.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

Counts

69 → 3

Compiler

Compiled 552 to 428 computations (22.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i)))) (-.f64 (sqrt.f64 4) (sqrt.f64 (/.f64 1 (*.f64 i i)))))
0.1b	(/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i))))
0.6b	(/.f64 1 (*.f64 i i))
29.6b	(sqrt.f64 (/.f64 1 (*.f64 i i)))

rewrite434.0ms (11.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

528×	`times-frac_binary64`
424×	`add-sqr-sqrt_binary64`
388×	`*-un-lft-identity_binary64`
273×	`sqrt-prod_binary64`
156×	`add-cube-cbrt_binary64`
152×	`difference-of-squares_binary64`
57×	`distribute-lft-out--_binary64`
49×	`distribute-lft-out_binary64`
38×	`div-inv_binary64`
34×	`associate-/r/_binary64`
24×	`associate-/l*_binary64`
22×	`add-exp-log_binary64`
21×	`pow1_binary64`
19×	`associate-/r*_binary64`
16×	`add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
12×	`pow-flip_binary64`
8×	`sqrt-pow1_binary64` `div-exp_binary64`
6×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64`
3×	`rem-sqrt-square_binary64` `prod-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow1/2_binary64` `sqrt-div_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 393

Calls

4 calls:

26.0ms	(/.f64 (/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i)))) (-.f64 (sqrt.f64 4) (sqrt.f64 (/.f64 1 (*.f64 i i)))))
5.0ms	(/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i))))
5.0ms	(/.f64 1 (*.f64 i i))
4.0ms	(sqrt.f64 (/.f64 1 (*.f64 i i)))

Compiler

Compiled 7481 to 6193 computations (17.2% saved)

series85.0ms (2.3%)

Error

Counts

4 → 19

Calls

4 calls:

38.0ms	(/.f64 (/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i)))) (-.f64 (sqrt.f64 4) (sqrt.f64 (/.f64 1 (*.f64 i i)))))
11.0ms	(/.f64 1/4 (+.f64 2 (fabs.f64 (/.f64 1 i))))
8.0ms	(/.f64 1 (*.f64 i i))
6.0ms	(sqrt.f64 (/.f64 1 (*.f64 i i)))

Compiler

Compiled 1370 to 1205 computations (12% saved)

simplify390.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

809×	`associate-/l*_binary64`
356×	`distribute-rgt-in_binary64`
342×	`associate-/r/_binary64`
314×	`distribute-lft-in_binary64`
212×	`associate-/l/_binary64`
188×	`associate-/r*_binary64`
112×	`unswap-sqr_binary64`
111×	`*-commutative_binary64`
108×	`distribute-neg-in_binary64`
86×	`sub-neg_binary64`
83×	`times-frac_binary64`
79×	`div-sub_binary64`
76×	`associate-+r+_binary64`
71×	`+-commutative_binary64`
70×	`associate-*l/_binary64`
66×	`neg-mul-1_binary64` `distribute-neg-frac_binary64`
64×	`neg-sub0_binary64` `associate-r_binary64`
63×	`associate-l_binary64`
56×	`distribute-rgt-neg-in_binary64`
53×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
51×	`associate-*r/_binary64`
46×	`associate-+l+_binary64`
30×	`sqr-pow_binary64`
28×	`*-rgt-identity_binary64`
19×	`log-div_binary64` `/-rgt-identity_binary64`
18×	`unsub-neg_binary64`
16×	`*-lft-identity_binary64`
12×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
11×	`cube-prod_binary64`
10×	`cube-div_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
8×	`cube-unmult_binary64`
7×	`exp-prod_binary64` `associate-+r-_binary64`
6×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
5×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64`
2×	`log-rec_binary64` `+-lft-identity_binary64` `associate--l+_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-neg-out_binary64` `associate--r-_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` `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-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

412 → 374

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	17000
1	941	16678
2	2717	15548
3	5527	15548

prune190.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	374	0	374
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	374	3	377

Error

Counts

377 → 3

Compiler

Compiled 4493 to 3884 computations (13.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 i i) -1/4)

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `associate-r_binary64`
2×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 (*.f64 i i) -1/4)

Compiler

Compiled 179 to 105 computations (41.3% saved)

series8.0ms (0.2%)

Error

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 i i) -1/4)

Compiler

Compiled 35 to 35 computations (0% saved)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

830×	`log-div_binary64`
673×	`associate-/l*_binary64`
346×	`associate-/r*_binary64`
248×	`associate-l_binary64`
241×	`*-commutative_binary64`
227×	`sqr-pow_binary64`
191×	`log-prod_binary64` `distribute-rgt-in_binary64`
184×	`times-frac_binary64`
175×	`distribute-lft-in_binary64`
161×	`associate-r_binary64`
155×	`unswap-sqr_binary64`
150×	`associate-+l+_binary64`
119×	`+-commutative_binary64`
101×	`associate-+r+_binary64`
98×	`associate-/l/_binary64`
92×	`exp-prod_binary64` `pow-sqr_binary64`
89×	`distribute-lft-out_binary64`
75×	`associate-/r/_binary64`
74×	`cube-prod_binary64`
63×	`unpow3_binary64` `associate-*r/_binary64`
55×	`distribute-rgt-out_binary64`
43×	`swap-sqr_binary64`
41×	`log-pow_binary64`
37×	`*-rgt-identity_binary64`
35×	`*-lft-identity_binary64`
33×	`log-rec_binary64`
29×	`rem-sqrt-square_binary64`
26×	`cube-div_binary64`
23×	`count-2_binary64`
21×	`associate-*l/_binary64`
17×	`pow-plus_binary64`
14×	`cube-mult_binary64`
10×	`distribute-rgt1-in_binary64`
6×	`unpow1/2_binary64` `cube-unmult_binary64`
5×	`/-rgt-identity_binary64`
4×	`distribute-lft1-in_binary64`
3×	`unpow2_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

22 → 17

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	227
1	85	191
2	236	182
3	542	182
4	820	182
5	1473	182
6	2531	182
7	4367	182
8	4948	182
9	5391	182

prune7.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	17	3	20

Error

Counts

20 → 3

Compiler

Compiled 109 to 68 computations (37.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b

(*.f64 (*.f64 i i) (*.f64 i i))

15.8b

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

44.0b

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

rewrite289.0ms (7.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

302×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
168×	`prod-exp_binary64` `cbrt-unprod_binary64`
114×	`pow1_binary64`
76×	`div-exp_binary64` `cbrt-undiv_binary64`
38×	`times-frac_binary64`
36×	`pow-prod-up_binary64`
23×	`pow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `pow-sqr_binary64`
18×	`pow-plus_binary64`
16×	`add-cube-cbrt_binary64`
13×	`pow2_binary64`
12×	`difference-of-squares_binary64`
9×	`div-inv_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64` `difference-of-sqr-1_binary64`
3×	`add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

3 → 232

Calls

3 calls:

35.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

27.0ms

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

9.0ms

(*.f64 (*.f64 i i) (*.f64 i i))

Compiler

Compiled 8458 to 4631 computations (45.2% saved)

series38.0ms (1%)

Error

Counts

3 → 14

Calls

3 calls:

14.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

9.0ms

(*.f64 (*.f64 i i) (*.f64 i i))

8.0ms

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

Compiler

Compiled 422 to 362 computations (14.2% saved)

simplify413.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

585×	`times-frac_binary64`
294×	`associate-/l*_binary64`
258×	`log-div_binary64`
220×	`associate-/r*_binary64`
205×	`log-prod_binary64`
178×	`associate-r_binary64`
170×	`associate-/l/_binary64`
139×	`distribute-rgt-in_binary64` `associate-l_binary64`
122×	`sub-neg_binary64` `associate--r+_binary64`
111×	`swap-sqr_binary64`
106×	`associate--l+_binary64`
97×	`distribute-lft-in_binary64`
82×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
79×	`distribute-lft-neg-in_binary64`
72×	`cancel-sign-sub-inv_binary64`
65×	`unpow3_binary64` `associate-/r/_binary64`
63×	`distribute-neg-in_binary64`
59×	`associate--l-_binary64`
58×	`*-commutative_binary64`
56×	`div-sub_binary64` `associate-*l/_binary64`
51×	`distribute-neg-frac_binary64`
50×	`cube-prod_binary64`
42×	`exp-prod_binary64` `associate-*r/_binary64`
40×	`cube-div_binary64`
38×	`associate-+l-_binary64`
37×	`distribute-rgt-out_binary64`
36×	`neg-mul-1_binary64` `neg-sub0_binary64`
29×	`distribute-lft-out_binary64`
28×	`sqr-pow_binary64`
25×	`+-commutative_binary64`
24×	`*-rgt-identity_binary64`
22×	`unsub-neg_binary64` `associate-+l+_binary64`
19×	`/-rgt-identity_binary64`
17×	`associate-+r+_binary64`
14×	`pow-plus_binary64`
12×	`log-rec_binary64` `distribute-rgt-out--_binary64`
11×	`log-pow_binary64`
10×	`exp-sqrt_binary64`
9×	`cube-unmult_binary64`
8×	`distribute-frac-neg_binary64`
6×	`*-lft-identity_binary64` `count-2_binary64`
5×	`pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
4×	`*-inverses_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64`
3×	`cube-mult_binary64` `sub0-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `associate-+r-_binary64`

Counts

246 → 225

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	7162
1	500	3574
2	2745	3489
3	4623	3489
4	4932	3489
5	4845	3489

prune75.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	225	3	228

Error

Counts

228 → 3

Compiler

Compiled 1497 to 1010 computations (32.5% saved)

regimes323.0ms (8.8%)

Accuracy

Total 0.1b remaining (91.6%)

Threshold costs 0.1b (91.6%)

Compiler

Compiled 3927 to 3419 computations (12.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64` `+-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	19	28
2	20	28
3	18	28

end3.0ms (0.1%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample870.0ms (23.6%)

Algorithm

1×

intervals

Results

406.0ms	8000×	body	128	valid
87.0ms	8000×	pre	128	true

Compiler

Compiled 99 to 80 computations (19.2% saved)

Details

analyze68.0ms (1.9%)

sample25.0ms (0.7%)

simplify50.0ms (1.4%)

prune9.0ms (0.2%)

localize5.0ms (0.1%)

rewrite95.0ms (2.6%)

series26.0ms (0.7%)

simplify99.0ms (2.7%)

prune44.0ms (1.2%)

localize12.0ms (0.3%)

rewrite434.0ms (11.8%)

series85.0ms (2.3%)

simplify390.0ms (10.6%)

prune190.0ms (5.2%)

localize3.0ms (0.1%)

rewrite17.0ms (0.5%)

series8.0ms (0.2%)

simplify88.0ms (2.4%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite289.0ms (7.9%)

series38.0ms (1%)

simplify413.0ms (11.2%)

prune75.0ms (2%)

regimes323.0ms (8.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end3.0ms (0.1%)

sample870.0ms (23.6%)

Profiling