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

analyze28.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× 1-exp_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 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	7	4
1	10	4
2	8	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)

sample11.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify9.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_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 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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	8	4

prune3.0ms (0.3%)

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)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite11.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

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:

3.0ms

(+.f64 x 1/3)

Compiler

Compiled 94 to 73 computations (22.3% saved)

series10.0ms (1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

7.0ms

(+.f64 x 1/3)

Compiler

Compiled 26 to 26 computations (0% saved)

simplify96.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

516×	`neg-mul-1_binary64`
468×	`neg-sub0_binary64`
461×	`distribute-lft-out_binary64`
374×	`unswap-sqr_binary64`
356×	`distribute-neg-in_binary64`
338×	`sub-neg_binary64`
326×	`distribute-rgt-in_binary64`
294×	`distribute-rgt-neg-out_binary64`
290×	`cancel-sign-sub-inv_binary64`
281×	`distribute-lft-neg-out_binary64`
273×	`+-commutative_binary64`
254×	`associate-+l+_binary64`
213×	`associate-l_binary64`
211×	`associate-+r+_binary64`
208×	`*-commutative_binary64`
204×	`distribute-rgt-out_binary64`
193×	`distribute-lft-in_binary64`
190×	`unsub-neg_binary64`
172×	`remove-double-neg_binary64`
157×	`associate-+l-_binary64`
127×	`distribute-rgt-neg-in_binary64`
124×	`associate-r_binary64`
97×	`sqr-pow_binary64`
87×	`distribute-lft-neg-in_binary64`
86×	`associate-+r-_binary64`
76×	`cube-prod_binary64` `associate--r+_binary64`
72×	`sub0-neg_binary64`
42×	`distribute-lft-out--_binary64`
39×	`mul0-rgt_binary64` `mul0-lft_binary64`
36×	`exp-prod_binary64` `associate--l+_binary64`
33×	`distribute-rgt-out--_binary64`
32×	`pow-plus_binary64`
28×	`unpow3_binary64` `pow-sqr_binary64`
26×	`distribute-neg-out_binary64`
25×	`associate--l-_binary64`
24×	`associate--r-_binary64`
23×	`+-lft-identity_binary64`
21×	`cube-mult_binary64`
20×	`times-frac_binary64`
18×	`exp-sum_binary64`
16×	`exp-diff_binary64`
15×	`*-lft-identity_binary64`
13×	`cube-unmult_binary64`
12×	`div-sub_binary64`
11×	`+-rgt-identity_binary64`
8×	`unpow2_binary64` `count-2_binary64`
6×	`cube-neg_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `--rgt-identity_binary64` `swap-sqr_binary64`
3×	`log-prod_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64`
2×	`mul-1-neg_binary64` `distribute-frac-neg_binary64`
1×	`exp-lft-sqr_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_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` `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` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `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-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

18 → 12

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	116
1	65	107
2	108	104
3	201	104
4	401	104
5	853	104
6	1486	104
7	2938	104
8	3932	104
9	4604	104
10	4778	104

prune10.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Error

0b

Counts

13 → 3

Compiler

Compiled 79 to 64 computations (19% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (+.f64 1/3 x))
0.0b	(+.f64 1/3 x)
1.6b	(exp.f64 (log.f64 (+.f64 1/3 x)))

rewrite39.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

12×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-log-exp_binary64`
4×	`exp-prod_binary64` `log-div_binary64` `exp-sum_binary64` `add-exp-log_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
2×	`log-pow_binary64` `exp-diff_binary64`
1×	`rem-exp-log_binary64` `sum-log_binary64` `+-commutative_binary64` `rem-log-exp_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms	(exp.f64 (log.f64 (+.f64 1/3 x)))
3.0ms	(log.f64 (+.f64 1/3 x))
3.0ms	(+.f64 1/3 x)

Compiler

Compiled 451 to 370 computations (18% saved)

series44.0ms (4.3%)

Error

0b

Counts

3 → 19

Calls

3 calls:

19.0ms	(exp.f64 (log.f64 (+.f64 1/3 x)))
10.0ms	(log.f64 (+.f64 1/3 x))
7.0ms	(+.f64 1/3 x)

Compiler

Compiled 398 to 365 computations (8.3% saved)

simplify72.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

609×	`times-frac_binary64`
563×	`associate-/r*_binary64`
221×	`distribute-rgt-in_binary64`
194×	`distribute-lft-in_binary64`
182×	`cancel-sign-sub-inv_binary64`
167×	`associate-/l/_binary64`
145×	`log-div_binary64`
132×	`associate-/l*_binary64`
111×	`sub-neg_binary64`
107×	`log-prod_binary64`
104×	`associate-l_binary64`
98×	`associate-r_binary64`
95×	`exp-prod_binary64`
84×	`distribute-rgt-out_binary64`
69×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
51×	`associate-/r/_binary64`
47×	`unsub-neg_binary64`
45×	`distribute-lft-out_binary64`
42×	`prod-exp_binary64`
39×	`+-commutative_binary64`
35×	`cube-prod_binary64`
34×	`sqr-pow_binary64`
31×	`distribute-neg-frac_binary64` `*-commutative_binary64`
30×	`exp-sum_binary64` `unswap-sqr_binary64`
29×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
28×	`distribute-lft-neg-out_binary64` `associate--r-_binary64`
26×	`associate-+r+_binary64`
24×	`distribute-neg-in_binary64`
23×	`unpow3_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r-_binary64`
20×	`associate--r+_binary64` `associate-+l-_binary64`
19×	`exp-diff_binary64`
18×	`associate-+l+_binary64`
17×	`distribute-lft-out--_binary64`
14×	`rem-exp-log_binary64` `distribute-rgt1-in_binary64`
13×	`log-pow_binary64` `associate--l+_binary64`
11×	`exp-to-pow_binary64` `div-exp_binary64` `sub0-neg_binary64` `associate-*r/_binary64`
10×	`+-rgt-identity_binary64`
9×	`log-rec_binary64` `--rgt-identity_binary64`
7×	`exp-lft-cube_binary64` `div-sub_binary64` `distribute-frac-neg_binary64`
6×	`pow-plus_binary64` `-lft-identity_binary64` `pow-sqr_binary64` `associate-l/_binary64`
5×	`*-rgt-identity_binary64` `count-2_binary64`
4×	`unpow1/3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `remove-double-neg_binary64`
3×	`exp-neg_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64`
2×	`unpow1/2_binary64` `rec-exp_binary64` `distribute-neg-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `rgt-mult-inverse_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-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` `associate--l-_binary64`

Counts

64 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	627
1	195	531
2	363	512
3	1266	500
4	4538	500
5	4406	500

prune17.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

0b

Counts

44 → 3

Compiler

Compiled 257 to 196 computations (23.7% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/3 x)
0.0b	(exp.f64 (+.f64 1/3 x))
0.5b	(log.f64 (exp.f64 (+.f64 1/3 x)))

rewrite40.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

12×	`*-un-lft-identity_binary64`
8×	`exp-prod_binary64` `add-log-exp_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`log-pow_binary64`
4×	`pow1_binary64` `log-prod_binary64`
3×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`exp-sum_binary64` `sum-log_binary64` `rem-exp-log_binary64`
1×	`rem-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

4.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
4.0ms	(exp.f64 (+.f64 1/3 x))
3.0ms	(+.f64 1/3 x)

Compiler

Compiled 384 to 317 computations (17.4% saved)

series34.0ms (3.3%)

Error

0b

Counts

3 → 16

Calls

3 calls:

15.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
7.0ms	(exp.f64 (+.f64 1/3 x))
7.0ms	(+.f64 1/3 x)

Compiler

Compiled 213 to 205 computations (3.8% saved)

simplify112.0ms (11%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-out_binary64`
429×	`*-commutative_binary64`
380×	`associate-+l+_binary64`
359×	`associate-l_binary64`
340×	`unswap-sqr_binary64`
325×	`cancel-sign-sub-inv_binary64`
301×	`distribute-lft-out_binary64`
294×	`associate-+r+_binary64`
242×	`distribute-rgt-in_binary64`
232×	`associate-r_binary64`
212×	`distribute-rgt-neg-in_binary64`
209×	`distribute-lft-in_binary64`
172×	`sqr-pow_binary64`
109×	`exp-prod_binary64`
80×	`log-pow_binary64`
78×	`log-prod_binary64`
76×	`sub-neg_binary64`
68×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
66×	`+-commutative_binary64`
64×	`prod-exp_binary64`
57×	`neg-mul-1_binary64`
53×	`neg-sub0_binary64`
33×	`distribute-rgt-neg-out_binary64`
31×	`cube-prod_binary64` `associate-/l*_binary64`
30×	`unsub-neg_binary64` `distribute-neg-in_binary64`
29×	`unpow3_binary64` `exp-to-pow_binary64` `distribute-lft-neg-out_binary64`
26×	`pow-plus_binary64`
25×	`associate-/l/_binary64`
24×	`count-2_binary64`
23×	`exp-sum_binary64`
22×	`associate--r+_binary64`
21×	`distribute-rgt1-in_binary64`
17×	`associate-+l-_binary64`
16×	`cube-unmult_binary64` `associate-*r/_binary64`
14×	`exp-sqrt_binary64` `rem-log-exp_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
13×	`associate--l+_binary64`
12×	`rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`associate-*l/_binary64`
10×	`sub0-neg_binary64`
9×	`remove-double-neg_binary64` `distribute-lft1-in_binary64`
7×	`associate-+r-_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64`
5×	`rem-exp-log_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64`
4×	`unpow1/2_binary64` `cube-mult_binary64` `times-frac_binary64` `+-lft-identity_binary64` `associate--l-_binary64`
2×	`associate-/r*_binary64` `associate--r-_binary64`
1×	`log-div_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `-rgt-identity_binary64` `-lft-identity_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_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` `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`

Counts

59 → 34

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	72	469
1	133	427
2	280	417
3	673	409
4	1549	409
5	2800	409
6	3944	409
7	4817	403
8	4852	403

prune14.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Error

0b

Counts

37 → 3

Compiler

Compiled 191 to 154 computations (19.4% saved)

regimes38.0ms (3.7%)

Accuracy

Total 0.0b remaining (34.7%)

Threshold costs 0.0b (34.7%)

Compiler

Compiled 97 to 109 computations (-12.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (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 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	4	4
1	5	4
2	5	4

end1.0ms (0%)

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

sample416.0ms (40.8%)

Algorithm

1×

intervals

Results

156.0ms

8000×

body

128

valid

Compiler

Compiled 25 to 29 computations (-16% saved)

Details

analyze28.0ms (2.7%)

sample11.0ms (1.1%)

simplify9.0ms (0.9%)

prune3.0ms (0.3%)

localize3.0ms (0.2%)

rewrite11.0ms (1.1%)

series10.0ms (1%)

simplify96.0ms (9.4%)

prune10.0ms (1%)

localize6.0ms (0.5%)

rewrite39.0ms (3.8%)

series44.0ms (4.3%)

simplify72.0ms (7.1%)

prune17.0ms (1.7%)

localize5.0ms (0.5%)

rewrite40.0ms (3.9%)

series34.0ms (3.3%)

simplify112.0ms (11%)

prune14.0ms (1.3%)

regimes38.0ms (3.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end1.0ms (0%)

sample416.0ms (40.8%)

Profiling