Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

analyze36.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

2× +-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 1-exp_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 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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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	8	14
1	10	14
2	10	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample18.0ms (1.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1× +-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 1-exp_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 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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 136 to 95 computations (30.1% saved)

series19.0ms (1.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

16.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 81 to 85 computations (-4.9% saved)

simplify78.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

774×	`unswap-sqr_binary64`
616×	`associate-l_binary64`
412×	`distribute-rgt-out_binary64`
314×	`associate-+l+_binary64`
287×	`cancel-sign-sub-inv_binary64`
273×	`distribute-rgt-in_binary64`
265×	`associate-/l*_binary64`
252×	`associate-+r+_binary64`
207×	`distribute-lft-in_binary64`
206×	`div-sub_binary64`
177×	`associate-*l/_binary64`
166×	`sub-neg_binary64`
131×	`neg-mul-1_binary64`
129×	`neg-sub0_binary64`
119×	`associate-/r/_binary64`
115×	`times-frac_binary64`
111×	`unsub-neg_binary64`
105×	`associate-r/_binary64` `associate-r*_binary64`
101×	`associate-/l/_binary64`
84×	`associate-/r*_binary64`
71×	`*-commutative_binary64`
68×	`distribute-lft-neg-out_binary64`
64×	`distribute-rgt-neg-out_binary64`
63×	`distribute-rgt-neg-in_binary64`
52×	`+-commutative_binary64`
51×	`sqr-pow_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
48×	`distribute-neg-frac_binary64`
47×	`distribute-lft-neg-in_binary64`
41×	`associate--r+_binary64`
33×	`distribute-neg-in_binary64`
32×	`mul0-rgt_binary64`
31×	`cancel-sign-sub_binary64`
27×	`cube-prod_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
24×	`sub0-neg_binary64`
23×	`remove-double-neg_binary64`
20×	`associate-+r-_binary64`
19×	`cube-unmult_binary64`
17×	`pow-plus_binary64`
16×	`distribute-lft-out_binary64`
14×	`count-2_binary64`
13×	`exp-prod_binary64` `distribute-lft-out--_binary64`
10×	`exp-sum_binary64` `associate--l+_binary64`
9×	`*-lft-identity_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64`
8×	`exp-diff_binary64` `div0_binary64`
7×	`pow-sqr_binary64`
6×	`unpow3_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`cube-div_binary64` `cube-neg_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64`
3×	`cube-mult_binary64` `sqr-neg_binary64` `swap-sqr_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `exp-neg_binary64`
1×	`prod-exp_binary64` `1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`

Counts

24 → 15

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	218
1	87	203
2	182	200
3	394	200
4	916	200
5	2198	200
6	3448	200
7	5020	200

prune8.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

0.0b

Counts

16 → 3

Compiler

Compiled 128 to 92 computations (28.1% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (/.f64 y 250000))
0.1b	(*.f64 1/500 y)
2.5b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
29.8b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))

rewrite96.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
16×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-*r/_binary64`

Counts

4 → 94

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))
7.0ms	(*.f64 y (/.f64 y 250000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
3.0ms	(*.f64 1/500 y)

Compiler

Compiled 2221 to 1282 computations (42.3% saved)

series84.0ms (5.9%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (*.f64 1/500 y)))
32.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
8.0ms	(*.f64 y (/.f64 y 250000))
6.0ms	(*.f64 1/500 y)

Compiler

Compiled 566 to 476 computations (15.9% saved)

simplify108.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-/l*_binary64`
356×	`div-sub_binary64`
313×	`associate-l/_binary64` `associate-r/_binary64`
293×	`*-commutative_binary64`
190×	`associate-/l/_binary64`
150×	`distribute-rgt-in_binary64`
145×	`distribute-lft-in_binary64`
134×	`times-frac_binary64`
129×	`distribute-rgt-neg-in_binary64`
123×	`cancel-sign-sub-inv_binary64`
121×	`associate-/r*_binary64`
116×	`sub-neg_binary64` `associate-/r/_binary64`
114×	`associate-l_binary64`
108×	`distribute-lft-neg-in_binary64`
102×	`exp-prod_binary64`
98×	`associate-r_binary64`
97×	`neg-mul-1_binary64`
96×	`neg-sub0_binary64`
81×	`unsub-neg_binary64`
71×	`distribute-neg-frac_binary64`
54×	`cube-prod_binary64`
50×	`log-prod_binary64` `unswap-sqr_binary64`
41×	`+-commutative_binary64`
37×	`cube-div_binary64`
36×	`log-div_binary64` `sqr-pow_binary64`
28×	`distribute-lft-neg-out_binary64`
27×	`*-rgt-identity_binary64`
21×	`exp-sum_binary64`
19×	`associate-+l+_binary64` `associate-+r+_binary64`
18×	`*-lft-identity_binary64`
14×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
12×	`exp-diff_binary64`
11×	`unpow3_binary64` `/-rgt-identity_binary64`
10×	`swap-sqr_binary64` `associate-+r-_binary64`
9×	`associate-+l-_binary64`
8×	`log-rec_binary64` `pow-plus_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
7×	`cube-unmult_binary64` `cube-mult_binary64`
6×	`pow-sqr_binary64` `distribute-neg-in_binary64`
5×	`associate--r-_binary64`
4×	`associate--l+_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `remove-double-div_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

124 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2047
1	423	1901
2	1342	1879
3	3805	1865
4	4956	1865

prune49.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Error

0.0b

Counts

95 → 3

Compiler

Compiled 1516 to 844 computations (44.3% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 1/500 y) x)
0.1b	(*.f64 1/500 y)
0.1b	(pow.f64 (+.f64 (*.f64 1/500 y) x) 3)
39.3b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/500 y) x) 3))

rewrite78.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64` `cbrt-prod_binary64` `*-un-lft-identity_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`cube-div_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-unpow_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/500 y) x) 3))
5.0ms	(pow.f64 (+.f64 (*.f64 1/500 y) x) 3)
4.0ms	(+.f64 (*.f64 1/500 y) x)
4.0ms	(*.f64 1/500 y)

Compiler

Compiled 1030 to 787 computations (23.6% saved)

series91.0ms (6.4%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

35.0ms	(pow.f64 (+.f64 (*.f64 1/500 y) x) 3)
21.0ms	(+.f64 (*.f64 1/500 y) x)
16.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/500 y) x) 3))
9.0ms	(*.f64 1/500 y)

Compiler

Compiled 797 to 730 computations (8.4% saved)

simplify145.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

383×	`exp-prod_binary64`
267×	`associate-+l+_binary64`
263×	`exp-sum_binary64`
246×	`associate-+r+_binary64`
238×	`unswap-sqr_binary64`
232×	`distribute-rgt-in_binary64`
222×	`*-commutative_binary64`
216×	`distribute-lft-in_binary64`
178×	`log-prod_binary64`
174×	`sqr-pow_binary64`
153×	`cube-prod_binary64`
122×	`+-commutative_binary64`
117×	`swap-sqr_binary64`
75×	`distribute-rgt-out_binary64`
73×	`associate-l_binary64`
66×	`associate-r_binary64`
65×	`unpow3_binary64`
55×	`log-pow_binary64` `cube-mult_binary64`
53×	`distribute-lft-neg-out_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`distribute-rgt-neg-in_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`distribute-lft-neg-in_binary64`
43×	`distribute-lft-out_binary64`
40×	`pow-sqr_binary64`
38×	`associate-/l*_binary64`
29×	`pow-plus_binary64`
26×	`sub-neg_binary64`
23×	`neg-mul-1_binary64` `neg-sub0_binary64`
21×	`fabs-mul_binary64`
15×	`unsub-neg_binary64` `associate-+l-_binary64`
14×	`cube-unmult_binary64`
13×	`rem-sqrt-square_binary64` `associate-/l/_binary64`
12×	`associate-+r-_binary64`
10×	`distribute-rgt-out--_binary64` `count-2_binary64`
8×	`rem-cbrt-cube_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64`
6×	`fabs-sqr_binary64`
5×	`unpow2_binary64` `+-rgt-identity_binary64`
4×	`associate--r+_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
2×	`sqr-neg_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-lft-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` `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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

128 → 73

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	1667
1	258	1586
2	743	1498
3	2018	1489
4	4217	1486
5	4988	1486
6	4929	1486

prune25.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Error

0.0b

Counts

76 → 3

Compiler

Compiled 528 to 382 computations (27.7% saved)

regimes66.0ms (4.6%)

Accuracy

Total 0.0b remaining (32.1%)

Threshold costs 0.0b (32.1%)

Compiler

Compiled 248 to 258 computations (-4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1× +-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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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	6	7
1	7	7
2	7	7

end1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

sample476.0ms (33.4%)

Algorithm

1×

intervals

Results

167.0ms

8000×

body

128

valid

Compiler

Compiled 42 to 46 computations (-9.5% saved)

Details

analyze36.0ms (2.5%)

sample18.0ms (1.3%)

simplify9.0ms (0.7%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite14.0ms (1%)

series19.0ms (1.4%)

simplify78.0ms (5.5%)

prune8.0ms (0.6%)

localize10.0ms (0.7%)

rewrite96.0ms (6.7%)

series84.0ms (5.9%)

simplify108.0ms (7.6%)

prune49.0ms (3.4%)

localize7.0ms (0.5%)

rewrite78.0ms (5.5%)

series91.0ms (6.4%)

simplify145.0ms (10.2%)

prune25.0ms (1.7%)

regimes66.0ms (4.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

end1.0ms (0%)

sample476.0ms (33.4%)

Profiling