Details

analyze68.0ms (2.6%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample36.0ms (1.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify52.0ms (2%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

prune4.0ms (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

0.4b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (*.f64 i i))
0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite111.0ms (4.3%)

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×	`div-inv_binary64` `associate-/l*_binary64` `pow-flip_binary64`
5×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `flip--_binary64` `inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cbrt-unprod_binary64`

Counts

2 → 81

Calls

2 calls:

8.0ms	(/.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)

series22.0ms (0.9%)

Error

Counts

2 → 9

Calls

2 calls:

9.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
6.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 190 to 176 computations (7.4% saved)

simplify108.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-/l*_binary64`
434×	`cancel-sign-sub-inv_binary64`
372×	`associate-/r*_binary64`
347×	`div-sub_binary64`
244×	`associate-/l/_binary64`
214×	`associate-/r/_binary64`
152×	`distribute-rgt-in_binary64`
143×	`distribute-rgt-neg-in_binary64`
128×	`distribute-lft-neg-in_binary64`
121×	`unswap-sqr_binary64`
116×	`distribute-lft-in_binary64`
106×	`sub-neg_binary64`
102×	`distribute-lft-out_binary64`
100×	`associate-l_binary64`
96×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-out_binary64`
78×	`associate-*l/_binary64`
76×	`associate-r_binary64`
64×	`*-commutative_binary64`
63×	`times-frac_binary64`
59×	`distribute-neg-in_binary64`
57×	`associate-*r/_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`
37×	`distribute-lft-out--_binary64` `associate-+r+_binary64` `+-commutative_binary64`
32×	`associate--r+_binary64`
31×	`sqr-pow_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_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×	`swap-sqr_binary64`
12×	`*-rgt-identity_binary64`
11×	`unpow3_binary64` `fabs-div_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64`
7×	`fabs-mul_binary64` `/-rgt-identity_binary64`
5×	`log-pow_binary64` `log-rec_binary64` `sqr-neg_binary64`
4×	`exp-sum_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` `fabs-neg_binary64` `fabs-sub_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` `fabs-sqr_binary64` `fabs-fabs_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

90 → 67

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	1455
1	281	1362
2	633	1265
3	1523	1265
4	4433	1209
5	4878	1209

prune43.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

69 → 3

Compiler

Compiled 486 to 373 computations (23.3% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite274.0ms (10.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`add-sqr-sqrt_binary64`
96×	`times-frac_binary64` `*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
30×	`associate-r_binary64`
21×	`difference-of-squares_binary64` `associate-l_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`div-inv_binary64`
14×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
3×	`add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

3 → 161

Calls

3 calls:

44.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
15.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
12.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

Compiler

Compiled 3455 to 3034 computations (12.2% saved)

series56.0ms (2.1%)

Error

Counts

3 → 22

Calls

3 calls:

15.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
12.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
10.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

Compiler

Compiled 665 to 586 computations (11.9% saved)

simplify204.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-*l/_binary64`
500×	`associate-*r/_binary64`
495×	`associate-/l*_binary64`
300×	`div-sub_binary64`
285×	`associate-/l/_binary64`
181×	`times-frac_binary64`
156×	`associate-/r*_binary64`
146×	`distribute-rgt-in_binary64`
125×	`*-commutative_binary64`
123×	`associate-/r/_binary64`
100×	`sub-neg_binary64`
99×	`associate-l_binary64`
98×	`distribute-lft-in_binary64`
89×	`*-rgt-identity_binary64`
87×	`neg-mul-1_binary64` `neg-sub0_binary64`
85×	`associate-r_binary64`
80×	`unsub-neg_binary64`
77×	`*-lft-identity_binary64`
65×	`distribute-neg-in_binary64`
62×	`cube-div_binary64`
53×	`sqr-pow_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`log-div_binary64`
46×	`cube-prod_binary64`
43×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
38×	`distribute-lft-neg-in_binary64`
37×	`/-rgt-identity_binary64`
33×	`log-prod_binary64`
24×	`unpow3_binary64`
20×	`cube-mult_binary64`
19×	`distribute-rgt-out_binary64` `associate--r+_binary64`
18×	`associate-+r+_binary64`
17×	`distribute-neg-frac_binary64` `associate-+l+_binary64`
14×	`exp-prod_binary64` `distribute-lft-out_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`swap-sqr_binary64`
9×	`cube-unmult_binary64`
8×	`log-rec_binary64` `unswap-sqr_binary64`
6×	`unpow1/2_binary64` `distribute-lft-neg-out_binary64` `associate--l+_binary64`
5×	`pow-plus_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`distribute-rgt-neg-out_binary64`
3×	`fabs-mul_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64`
2×	`cube-neg_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `distribute-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

183 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3826
1	608	3521
2	1822	3403
3	4445	3389
4	4679	3389
5	5178	3389

prune108.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 1857 to 1583 computations (14.8% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 4 (pow.f64 i 6))
0.0b	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
0.0b	(*.f64 16 (pow.f64 i 8))

rewrite104.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
13×	`add-exp-log_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

3 → 68

Calls

3 calls:

8.0ms	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
6.0ms	(*.f64 16 (pow.f64 i 8))
6.0ms	(*.f64 4 (pow.f64 i 6))

Compiler

Compiled 1823 to 1340 computations (26.5% saved)

series47.0ms (1.8%)

Error

Counts

3 → 12

Calls

3 calls:

18.0ms	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
11.0ms	(*.f64 16 (pow.f64 i 8))
11.0ms	(*.f64 4 (pow.f64 i 6))

Compiler

Compiled 512 to 426 computations (16.8% saved)

simplify87.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

493×	`unswap-sqr_binary64`
445×	`exp-prod_binary64`
360×	`log-prod_binary64`
352×	`cube-prod_binary64`
292×	`*-commutative_binary64`
222×	`cancel-sign-sub-inv_binary64`
206×	`distribute-rgt-in_binary64`
150×	`distribute-lft-in_binary64`
139×	`sqr-pow_binary64`
131×	`distribute-rgt-neg-out_binary64`
125×	`unsub-neg_binary64`
119×	`distribute-lft-neg-out_binary64`
114×	`distribute-rgt-neg-in_binary64`
105×	`associate-/l*_binary64`
104×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
96×	`associate-r_binary64`
86×	`swap-sqr_binary64`
75×	`distribute-rgt-out_binary64`
69×	`distribute-neg-out_binary64`
66×	`exp-sum_binary64`
65×	`neg-mul-1_binary64`
63×	`neg-sub0_binary64`
51×	`log-pow_binary64`
48×	`unpow3_binary64`
47×	`sub-neg_binary64`
41×	`fabs-mul_binary64`
35×	`distribute-rgt-out--_binary64`
30×	`cube-unmult_binary64`
29×	`cube-mult_binary64`
27×	`pow-plus_binary64` `difference-of-squares_binary64`
26×	`pow-sqr_binary64`
24×	`exp-diff_binary64`
23×	`+-commutative_binary64`
22×	`distribute-lft-out_binary64`
19×	`cancel-sign-sub_binary64`
16×	`associate-/l/_binary64`
13×	`rem-sqrt-square_binary64` `distribute-neg-in_binary64` `associate-/r/_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
8×	`associate-+r+_binary64`
7×	`unpow2_binary64` `associate-+l-_binary64`
6×	`sub0-neg_binary64` `associate-+r-_binary64`
5×	`unpow1_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `count-2_binary64` `associate-+l+_binary64`
4×	`unpow1/2_binary64` `times-frac_binary64`
3×	`exp-neg_binary64` `cube-neg_binary64` `+-rgt-identity_binary64`
2×	`div-exp_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `mul-1-neg_binary64` `*-lft-identity_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-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` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

80 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	901
1	309	830
2	765	784
3	1490	781
4	3892	781
5	4901	781

prune32.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Error

Counts

53 → 3

Compiler

Compiled 678 to 503 computations (25.8% saved)

regimes158.0ms (6%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 1757 to 1569 computations (10.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `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` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	13	22
1	19	22
2	25	22
3	27	22
4	28	22
5	25	22

end1.0ms (0%)

Compiler: Compiled 15 to 14 computations (6.7% saved)

sample1.1s (40.7%)

Algorithm

1×

intervals

Results

422.0ms	8000×	body	128	valid
105.0ms	8000×	pre	128	true

Compiler

Compiled 92 to 80 computations (13% saved)

Details

analyze68.0ms (2.6%)

sample36.0ms (1.4%)

simplify52.0ms (2%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite111.0ms (4.3%)

series22.0ms (0.9%)

simplify108.0ms (4.1%)

prune43.0ms (1.7%)

localize11.0ms (0.4%)

rewrite274.0ms (10.5%)

series56.0ms (2.1%)

simplify204.0ms (7.8%)

prune108.0ms (4.1%)

localize13.0ms (0.5%)

rewrite104.0ms (4%)

series47.0ms (1.8%)

simplify87.0ms (3.3%)

prune32.0ms (1.2%)

regimes158.0ms (6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (40.7%)

Profiling