Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

analyze23.0ms (1.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× *-commutative_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 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 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	14	7
2	12	7
0	1	1
1	1	1

Search

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

Compiler

Compiled 10 to 10 computations (0% saved)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_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 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 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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	14	7
2	12	7

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

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(*.f64 841/108 x)

rewrite38.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 841/108 x)
4.0ms	(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 294 to 242 computations (17.7% saved)

series16.0ms (1.1%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

8.0ms	(+.f64 (*.f64 841/108 x) 4/29)
5.0ms	(*.f64 841/108 x)

Compiler

Compiled 76 to 76 computations (0% saved)

simplify96.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

461×	`neg-mul-1_binary64`
458×	`distribute-rgt-in_binary64`
373×	`distribute-rgt-out_binary64`
338×	`distribute-lft-out_binary64` `associate-l_binary64`
332×	`*-commutative_binary64`
317×	`distribute-lft-in_binary64`
306×	`unswap-sqr_binary64`
297×	`unsub-neg_binary64`
289×	`associate-+l+_binary64`
259×	`distribute-lft-neg-out_binary64`
221×	`associate-+r+_binary64`
201×	`cancel-sign-sub-inv_binary64`
198×	`associate-r_binary64`
192×	`+-commutative_binary64`
169×	`distribute-rgt-neg-out_binary64`
98×	`sub-neg_binary64`
92×	`distribute-rgt-neg-in_binary64`
61×	`cube-prod_binary64`
58×	`distribute-lft-neg-in_binary64`
56×	`sqr-pow_binary64`
48×	`log-prod_binary64` `associate-/l/_binary64`
36×	`exp-prod_binary64`
34×	`neg-sub0_binary64`
33×	`associate-+l-_binary64`
32×	`div-sub_binary64`
30×	`distribute-neg-out_binary64`
29×	`distribute-neg-in_binary64`
26×	`associate-/r/_binary64`
24×	`pow-plus_binary64`
23×	`distribute-rgt-out--_binary64` `associate--r+_binary64`
22×	`cube-unmult_binary64`
21×	`sub0-neg_binary64`
19×	`log-div_binary64` `cube-div_binary64`
18×	`count-2_binary64`
17×	`unpow3_binary64`
16×	`associate-+r-_binary64`
15×	`pow-sqr_binary64`
12×	`associate--l+_binary64`
11×	`+-lft-identity_binary64`
10×	`+-rgt-identity_binary64` `swap-sqr_binary64`
9×	`exp-diff_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`exp-sum_binary64` `cube-mult_binary64` `cube-neg_binary64`
7×	`associate-/l*_binary64`
6×	`remove-double-neg_binary64` `associate-*r/_binary64` `associate--l-_binary64`
5×	`distribute-neg-frac_binary64` `associate--r-_binary64`
4×	`unpow2_binary64` `exp-lft-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
3×	`exp-sqrt_binary64` `exp-neg_binary64` `--rgt-identity_binary64`
2×	`prod-exp_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_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-pow_binary64` `log-rec_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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_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-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`

Counts

38 → 10

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	305
1	122	287
2	237	284
3	469	284
4	941	284
5	1774	284
6	2888	284
7	4647	284
8	5087	284

prune9.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	8	2	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	3	11

Error

0b

Counts

11 → 3

Compiler

Compiled 107 to 95 computations (11.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.3b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite71.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`sqrt-prod_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

8.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
7.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
5.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 755 to 672 computations (11% saved)

series37.0ms (2.4%)

Error

0b

Counts

3 → 12

Calls

3 calls:

15.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
10.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
8.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 187 to 186 computations (0.5% saved)

simplify65.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

698×	`distribute-rgt-in_binary64`
653×	`distribute-lft-in_binary64`
385×	`associate-l_binary64`
352×	`unswap-sqr_binary64`
295×	`*-commutative_binary64`
275×	`associate-r_binary64`
246×	`distribute-rgt-neg-in_binary64`
243×	`distribute-rgt-out_binary64`
224×	`cancel-sign-sub-inv_binary64`
203×	`distribute-lft-neg-in_binary64`
98×	`associate-+l+_binary64`
97×	`distribute-lft-out_binary64`
86×	`associate-+r+_binary64`
84×	`sqr-pow_binary64`
48×	`distribute-rgt-out--_binary64`
41×	`sub-neg_binary64`
39×	`exp-prod_binary64` `neg-mul-1_binary64`
38×	`neg-sub0_binary64`
37×	`log-prod_binary64`
36×	`cube-prod_binary64`
31×	`*-rgt-identity_binary64`
27×	`*-lft-identity_binary64`
25×	`+-commutative_binary64`
23×	`pow-sqr_binary64`
18×	`swap-sqr_binary64`
16×	`associate-/l*_binary64`
12×	`distribute-neg-in_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`associate-/r*_binary64`
9×	`unsub-neg_binary64`
7×	`unpow3_binary64` `cube-unmult_binary64` `times-frac_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
6×	`associate-/l/_binary64` `associate-*r/_binary64`
5×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
4×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `cube-mult_binary64` `count-2_binary64`
2×	`+-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `div-sub_binary64` `mul-1-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

66 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	749
1	182	540
2	443	531
3	1192	520
4	2382	520
5	4946	520

prune28.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

0b

Counts

52 → 3

Compiler

Compiled 387 to 334 computations (13.7% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite131.0ms (8.5%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

27×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
20×	`add-exp-log_binary64` `cbrt-prod_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
6×	`pow1/3_binary64` `add-log-exp_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
3×	`*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

Compiler

Compiled 1594 to 1463 computations (8.2% saved)

series45.0ms (2.9%)

Error

0b

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
13.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
11.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

Compiler

Compiled 208 to 207 computations (0.5% saved)

simplify89.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

528×	`unswap-sqr_binary64`
441×	`distribute-rgt-in_binary64`
327×	`cancel-sign-sub-inv_binary64`
324×	`distribute-rgt-neg-in_binary64`
285×	`*-commutative_binary64`
255×	`distribute-lft-neg-in_binary64`
216×	`associate-+l+_binary64`
178×	`associate-+r+_binary64`
173×	`sqr-pow_binary64`
152×	`distribute-rgt-out_binary64` `distribute-lft-in_binary64`
143×	`associate-l_binary64`
135×	`associate-r_binary64`
121×	`distribute-lft-out_binary64`
72×	`exp-prod_binary64`
69×	`log-prod_binary64`
66×	`sub-neg_binary64`
61×	`neg-mul-1_binary64`
60×	`neg-sub0_binary64`
58×	`distribute-rgt-out--_binary64`
55×	`pow-sqr_binary64`
46×	`associate-/l*_binary64`
44×	`swap-sqr_binary64`
42×	`distribute-neg-in_binary64`
37×	`+-commutative_binary64`
27×	`cube-prod_binary64`
22×	`distribute-lft-neg-out_binary64`
18×	`unsub-neg_binary64` `associate-/r*_binary64`
16×	`times-frac_binary64`
12×	`rem-sqrt-square_binary64`
11×	`associate-/l/_binary64` `associate-*r/_binary64`
10×	`*-rgt-identity_binary64`
9×	`associate-/r/_binary64`
8×	`unpow3_binary64` `*-lft-identity_binary64` `distribute-lft-out--_binary64`
7×	`log-pow_binary64` `associate-+l-_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `cube-unmult_binary64` `cube-mult_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`sub0-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_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` `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` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

107 → 77

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	116	1393
1	232	960
2	688	947
3	1296	933
4	2919	849
5	4876	849

prune41.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Error

0b

Counts

80 → 3

Compiler

Compiled 622 to 553 computations (11.1% saved)

regimes119.0ms (7.8%)

Accuracy

Total 0.1b remaining (91.5%)

Threshold costs 0.1b (91.5%)

Compiler

Compiled 699 to 698 computations (0.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_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 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end1.0ms (0%)

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

sample682.0ms (44.3%)

Algorithm

1×

intervals

Results

420.0ms	7996×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 44 to 48 computations (-9.1% saved)

Details

analyze23.0ms (1.5%)

sample14.0ms (0.9%)

simplify9.0ms (0.6%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite38.0ms (2.5%)

series16.0ms (1.1%)

simplify96.0ms (6.2%)

prune9.0ms (0.6%)

localize5.0ms (0.3%)

rewrite71.0ms (4.6%)

series37.0ms (2.4%)

simplify65.0ms (4.3%)

prune28.0ms (1.8%)

localize7.0ms (0.5%)

rewrite131.0ms (8.5%)

series45.0ms (2.9%)

simplify89.0ms (5.8%)

prune41.0ms (2.7%)

regimes119.0ms (7.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end1.0ms (0%)

sample682.0ms (44.3%)

Profiling