Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

analyze21.0ms (1.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 +-commutative_binary64

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4
3	10	4
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.6%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 +-commutative_binary64

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4
3	10	4

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x 1/3)

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 16

Calls

1 calls:

4.0ms

(-.f64 x 1/3)

Compiler

Compiled 131 to 104 computations (20.6% saved)

series14.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

11.0ms

(-.f64 x 1/3)

Compiler

Compiled 26 to 26 computations (0% saved)

simplify109.0ms (6%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-lft-out_binary64`
470×	`cancel-sign-sub-inv_binary64`
388×	`*-commutative_binary64`
374×	`unswap-sqr_binary64`
344×	`distribute-rgt-in_binary64`
341×	`neg-mul-1_binary64` `neg-sub0_binary64`
298×	`sub-neg_binary64`
256×	`associate-+l+_binary64`
255×	`+-commutative_binary64`
237×	`unsub-neg_binary64`
212×	`associate-+r+_binary64`
202×	`distribute-rgt-out_binary64`
199×	`sqr-pow_binary64`
198×	`distribute-neg-in_binary64`
197×	`distribute-lft-neg-out_binary64`
190×	`associate-l_binary64`
166×	`distribute-lft-in_binary64`
145×	`distribute-rgt-neg-out_binary64`
105×	`associate-r_binary64`
102×	`cube-prod_binary64`
84×	`distribute-rgt-neg-in_binary64`
79×	`remove-double-neg_binary64`
67×	`associate-+l-_binary64`
60×	`pow-sqr_binary64`
57×	`distribute-lft-neg-in_binary64` `associate--r+_binary64`
54×	`associate--l+_binary64`
50×	`associate-+r-_binary64`
44×	`pow-plus_binary64`
43×	`unpow3_binary64` `associate--r-_binary64`
38×	`cube-mult_binary64` `associate--l-_binary64`
30×	`distribute-neg-out_binary64`
19×	`mul0-lft_binary64`
16×	`distribute-rgt-out--_binary64`
14×	`exp-prod_binary64` `cube-unmult_binary64`
12×	`exp-sum_binary64` `rem-sqrt-square_binary64`
9×	`count-2_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `sub0-neg_binary64`
7×	`log-prod_binary64`
5×	`div-sub_binary64` `distribute-lft-out--_binary64`
4×	`cube-neg_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`+-lft-identity_binary64` `swap-sqr_binary64`
2×	`sqr-neg_binary64` `*-rgt-identity_binary64` `mul0-rgt_binary64` `distribute-rgt1-in_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `log-pow_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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

22 → 16

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	136
1	81	127
2	123	124
3	169	124
4	265	124
5	478	124
6	1025	124
7	1622	124
8	1940	124
9	2785	124
10	4193	124
11	4894	124
12	4802	124

prune8.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Compiler

Compiled 85 to 67 computations (21.2% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x 1/3)
0.0b	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.2b	(*.f64 x (+.f64 x 1/3))
21.1b	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite127.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

49×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`pow1_binary64`
4×	`unpow-prod-down_binary64` `cube-prod_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-r_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `distribute-lft-out_binary64` `sum-log_binary64` `associate-+r+_binary64` `+-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
6.0ms	(*.f64 x (+.f64 x 1/3))
3.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
3.0ms	(+.f64 x 1/3)

Compiler

Compiled 2076 to 1630 computations (21.5% saved)

series67.0ms (3.6%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

17.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
16.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
13.0ms	(*.f64 x (+.f64 x 1/3))
10.0ms	(+.f64 x 1/3)

Compiler

Compiled 539 to 462 computations (14.3% saved)

simplify114.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-in_binary64`
660×	`distribute-lft-in_binary64`
637×	`times-frac_binary64`
181×	`associate-/l*_binary64`
176×	`associate-+l+_binary64`
149×	`associate-+r+_binary64`
126×	`associate-*l/_binary64`
99×	`associate-/r*_binary64`
97×	`associate-*r/_binary64`
81×	`associate-l_binary64`
80×	`associate-/l/_binary64`
67×	`associate-r_binary64`
59×	`associate--r+_binary64`
58×	`cancel-sign-sub-inv_binary64`
53×	`associate-/r/_binary64`
52×	`sub-neg_binary64`
49×	`distribute-rgt-neg-in_binary64`
47×	`*-commutative_binary64`
42×	`distribute-neg-in_binary64`
41×	`div-sub_binary64`
38×	`unswap-sqr_binary64`
37×	`distribute-lft-neg-in_binary64`
35×	`associate--l+_binary64`
33×	`+-commutative_binary64`
28×	`exp-prod_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
23×	`sqr-pow_binary64`
21×	`distribute-rgt-out_binary64`
16×	`*-rgt-identity_binary64` `associate-+l-_binary64`
15×	`log-prod_binary64` `distribute-neg-frac_binary64`
12×	`cube-prod_binary64` `associate-+r-_binary64`
11×	`exp-sum_binary64` `*-lft-identity_binary64`
10×	`distribute-rgt-out--_binary64`
8×	`cube-unmult_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
6×	`unsub-neg_binary64` `distribute-lft-out_binary64`
5×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64`
3×	`log-div_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `prod-exp_binary64` `exp-diff_binary64` `pow-sqr_binary64` `associate--l-_binary64`
1×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_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` `pow-base-0_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

127 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2461
1	407	2351
2	1251	2346
3	4881	2304
4	5604	2304

prune67.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	92	2	94

Error

0b

Counts

94 → 2

Compiler

Compiled 1447 to 1136 computations (21.5% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (+.f64 x 1/3)) 1/9)
0.1b	(/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27)))
0.2b	(*.f64 x (+.f64 x 1/3))
21.4b	(/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27))

rewrite298.0ms (16.3%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

212×	`add-sqr-sqrt_binary64`
210×	`times-frac_binary64`
132×	`*-un-lft-identity_binary64`
98×	`add-cube-cbrt_binary64`
64×	`difference-of-squares_binary64`
38×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
16×	`unpow-prod-down_binary64` `cube-prod_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64` `associate-/l*_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `associate-r_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-+l+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 231

Calls

4 calls:

18.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27)))
18.0ms	(/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27))
6.0ms	(+.f64 (*.f64 x (+.f64 x 1/3)) 1/9)
6.0ms	(*.f64 x (+.f64 x 1/3))

Compiler

Compiled 6042 to 4969 computations (17.8% saved)

series80.0ms (4.4%)

Error

0b

Counts

4 → 33

Calls

4 calls:

19.0ms	(+.f64 (*.f64 x (+.f64 x 1/3)) 1/9)
17.0ms	(/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27))
17.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) 1/9) (-.f64 (pow.f64 x 3) 1/27)))
13.0ms	(*.f64 x (+.f64 x 1/3))

Compiler

Compiled 732 to 652 computations (10.9% saved)

simplify217.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

829×	`distribute-rgt-in_binary64`
792×	`distribute-lft-in_binary64`
329×	`times-frac_binary64`
176×	`associate-/r/_binary64`
133×	`*-commutative_binary64`
124×	`associate-/l/_binary64`
111×	`associate-*l/_binary64`
107×	`associate-l_binary64`
96×	`associate-r_binary64`
67×	`associate-/l*_binary64`
60×	`unswap-sqr_binary64`
59×	`associate-*r/_binary64`
56×	`+-commutative_binary64`
53×	`*-rgt-identity_binary64`
52×	`distribute-neg-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64`
42×	`distribute-rgt-neg-in_binary64`
38×	`associate-/r*_binary64`
34×	`distribute-lft-neg-in_binary64`
32×	`neg-mul-1_binary64`
31×	`sqr-pow_binary64`
29×	`neg-sub0_binary64` `associate-+r+_binary64`
27×	`*-lft-identity_binary64`
25×	`cube-prod_binary64` `associate-+l+_binary64`
23×	`exp-prod_binary64`
21×	`distribute-rgt-out_binary64`
19×	`div-sub_binary64`
15×	`log-prod_binary64`
14×	`distribute-lft-out_binary64`
13×	`exp-sum_binary64` `swap-sqr_binary64` `associate--r+_binary64`
12×	`unsub-neg_binary64`
9×	`log-div_binary64` `distribute-lft-neg-out_binary64`
7×	`unpow3_binary64` `/-rgt-identity_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
6×	`cube-unmult_binary64`
4×	`log-rec_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
3×	`pow-plus_binary64` `pow-sqr_binary64` `associate--r-_binary64`
2×	`cube-div_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `div0_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

264 → 236

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	8460
1	706	8046
2	2417	7916
3	5324	7916

prune156.0ms (8.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	236	2	238

Error

0b

Counts

238 → 2

Compiler

Compiled 4117 to 3292 computations (20% saved)

regimes92.0ms (5%)

Accuracy

Total 0.0b remaining (57.8%)

Threshold costs 0.0b (57.8%)

Compiler

Compiled 922 to 816 computations (11.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 +-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 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 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4
3	10	4

end1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

sample398.0ms (21.7%)

Algorithm

1×

intervals

Results

146.0ms

8000×

body

128

valid

Compiler

Compiled 30 to 32 computations (-6.7% saved)

Details

analyze21.0ms (1.2%)

sample10.0ms (0.6%)

simplify9.0ms (0.5%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite15.0ms (0.8%)

series14.0ms (0.8%)

simplify109.0ms (6%)

prune8.0ms (0.4%)

localize9.0ms (0.5%)

rewrite127.0ms (6.9%)

series67.0ms (3.6%)

simplify114.0ms (6.2%)

prune67.0ms (3.7%)

localize10.0ms (0.6%)

rewrite298.0ms (16.3%)

series80.0ms (4.4%)

simplify217.0ms (11.8%)

prune156.0ms (8.5%)

regimes92.0ms (5%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end1.0ms (0%)

sample398.0ms (21.7%)

Profiling