Details

analyze258.0ms (14.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 *-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 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 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	7	11
1	13	11
2	14	11
3	12	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 *-commutative_binary64 +-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
3	12	11

prune3.0ms (0.2%)

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

0.5b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite50.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sqrt-div_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `mul-fabs_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 37

Calls

1 calls:

11.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 388 to 254 computations (34.5% saved)

series23.0ms (1.3%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

18.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 100 to 85 computations (15% saved)

simplify94.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

633×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
340×	`associate-l_binary64`
304×	`sub-neg_binary64`
245×	`unswap-sqr_binary64`
236×	`associate-r_binary64`
235×	`associate-/r*_binary64`
169×	`times-frac_binary64`
141×	`cancel-sign-sub-inv_binary64`
128×	`unsub-neg_binary64`
110×	`div-sub_binary64`
98×	`sqr-pow_binary64`
94×	`*-commutative_binary64`
93×	`*-rgt-identity_binary64`
92×	`neg-sub0_binary64` `-lft-identity_binary64` `associate-/l/_binary64` `associate-/l_binary64`
79×	`neg-mul-1_binary64`
72×	`associate-*l/_binary64`
68×	`associate-*r/_binary64`
64×	`distribute-rgt-out_binary64`
60×	`difference-of-squares_binary64`
56×	`distribute-neg-frac_binary64`
48×	`log-prod_binary64`
44×	`cube-prod_binary64`
40×	`associate-+l+_binary64`
38×	`associate-+l-_binary64`
35×	`distribute-lft-out_binary64`
30×	`difference-of-sqr--1_binary64` `associate-+r+_binary64`
29×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-in_binary64`
28×	`fabs-mul_binary64` `pow-sqr_binary64` `+-commutative_binary64`
27×	`exp-prod_binary64`
26×	`pow-plus_binary64`
25×	`distribute-lft-neg-in_binary64`
23×	`mul-1-neg_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`rem-sqrt-square_binary64` `associate--l+_binary64` `associate--r+_binary64`
19×	`distribute-rgt-neg-out_binary64`
17×	`distribute-neg-in_binary64`
16×	`unpow3_binary64`
15×	`cube-unmult_binary64`
14×	`difference-of-sqr-1_binary64`
13×	`fabs-sqr_binary64` `sub0-neg_binary64`
12×	`log-pow_binary64` `associate-+r-_binary64`
10×	`associate-/r/_binary64`
9×	`remove-double-neg_binary64`
7×	`log-div_binary64` `cube-div_binary64` `+-rgt-identity_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64` `remove-double-div_binary64`
5×	`unpow2_binary64` `swap-sqr_binary64`
4×	`div0_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
3×	`log-rec_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `associate--l-_binary64`
2×	`rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `fabs-div_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`

Counts

43 → 26

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	576
1	151	564
2	348	564
3	706	564
4	1704	554
5	4323	554
6	4698	554
7	4917	554

prune19.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Error

0.0b

Counts

27 → 2

Compiler

Compiled 242 to 161 computations (33.5% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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 +-commutative_binary64

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
31.5b	(sqrt.f64 (-.f64 (*.f64 x x) x))

rewrite30.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) x)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 409 to 119 computations (70.9% saved)

series22.0ms (1.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

9.0ms	(-.f64 (*.f64 x x) x)
7.0ms	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 151 to 127 computations (15.9% saved)

simplify105.0ms (6%)

Algorithm

1×	egg-herbie

Rules

485×	`unsub-neg_binary64`
450×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`
344×	`*-commutative_binary64`
241×	`difference-of-squares_binary64`
202×	`distribute-rgt-out_binary64`
196×	`sub-neg_binary64`
184×	`exp-prod_binary64`
171×	`associate-l_binary64`
153×	`distribute-lft-out_binary64`
143×	`cube-prod_binary64`
142×	`associate-r_binary64`
129×	`unswap-sqr_binary64`
109×	`neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
105×	`times-frac_binary64`
104×	`cancel-sign-sub-inv_binary64`
100×	`log-prod_binary64`
82×	`exp-sum_binary64`
64×	`associate-/r*_binary64`
63×	`associate-+l+_binary64` `associate-+r+_binary64`
58×	`mul0-rgt_binary64` `mul0-lft_binary64`
54×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
52×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
47×	`distribute-rgt-out--_binary64`
40×	`associate--r+_binary64`
38×	`unpow3_binary64`
36×	`swap-sqr_binary64` `associate-*r/_binary64`
34×	`exp-diff_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`
33×	`associate--l+_binary64`
31×	`cube-mult_binary64`
30×	`pow-plus_binary64`
29×	`pow-sqr_binary64`
27×	`sub0-neg_binary64`
25×	`associate-*l/_binary64`
22×	`distribute-rgt-neg-in_binary64`
20×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
17×	`associate-+r-_binary64`
15×	`cube-unmult_binary64` `distribute-neg-in_binary64`
12×	`sqr-neg_binary64` `difference-of-sqr--1_binary64`
10×	`+-rgt-identity_binary64`
9×	`log-pow_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-/l*_binary64`
8×	`distribute-lft1-in_binary64`
7×	`div-sub_binary64` `mul-1-neg_binary64`
6×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64`
4×	`unpow2_binary64` `rem-sqrt-square_binary64` `associate-/r/_binary64`
3×	`cube-neg_binary64` `fabs-mul_binary64` `associate--l-_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64`
1×	`unpow1/2_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `+-lft-identity_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

45 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	490
1	151	451
2	335	451
3	1167	451
4	3400	451
5	4617	451
6	4981	451
7	4811	451

prune14.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	3	27

Error

Counts

27 → 3

Compiler

Compiled 196 to 100 computations (49% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

13.8b	(sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)))
27.0b	(-.f64 (pow.f64 x 4) (*.f64 x x))
31.5b	(sqrt.f64 (+.f64 x (*.f64 x x)))
31.5b	(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (sqrt.f64 (+.f64 x (.f64 x x))))

rewrite137.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`sqrt-prod_binary64`
72×	`times-frac_binary64`
70×	`add-sqr-sqrt_binary64`
55×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64`
33×	`difference-of-squares_binary64`
11×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `unpow-prod-down_binary64` `sqr-pow_binary64`
9×	`associate-/l*_binary64`
8×	`sqrt-div_binary64` `associate-/r*_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`rem-sqrt-square_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `div-fabs_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 157

Calls

4 calls:

12.0ms	(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (sqrt.f64 (+.f64 x (.f64 x x))))
5.0ms	(-.f64 (pow.f64 x 4) (*.f64 x x))
4.0ms	(sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 3727 to 1627 computations (56.3% saved)

series61.0ms (3.5%)

Error

Counts

4 → 27

Calls

4 calls:

15.0ms	(-.f64 (pow.f64 x 4) (*.f64 x x))
14.0ms	(sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)))
10.0ms	(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (sqrt.f64 (+.f64 x (.f64 x x))))
9.0ms	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 712 to 512 computations (28.1% saved)

simplify254.0ms (14.4%)

Algorithm

1×	egg-herbie

Rules

467×	`unswap-sqr_binary64`
250×	`associate-l_binary64`
206×	`associate-r_binary64`
183×	`sub-neg_binary64`
181×	`exp-prod_binary64`
167×	`cube-prod_binary64`
164×	`times-frac_binary64`
160×	`associate-/l_binary64` `associate-/r_binary64`
132×	`log-div_binary64`
117×	`log-prod_binary64` `div-sub_binary64`
112×	`*-commutative_binary64`
106×	`difference-of-squares_binary64` `associate-/l/_binary64`
78×	`unsub-neg_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
71×	`sqr-pow_binary64`
70×	`distribute-rgt-out_binary64`
62×	`cancel-sign-sub-inv_binary64` `associate-*l/_binary64`
55×	`distribute-lft-in_binary64` `associate-/r/_binary64`
48×	`neg-sub0_binary64`
47×	`unpow3_binary64` `cube-div_binary64` `associate-*r/_binary64`
46×	`exp-sum_binary64`
43×	`neg-mul-1_binary64`
39×	`cube-mult_binary64`
32×	`associate--r+_binary64`
31×	`associate-+l+_binary64`
30×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
28×	`associate-+l-_binary64`
27×	`distribute-lft-neg-in_binary64`
26×	`pow-plus_binary64`
24×	`distribute-neg-in_binary64` `associate--l+_binary64`
23×	`distribute-lft-out_binary64`
20×	`distribute-rgt-out--_binary64`
19×	`/-rgt-identity_binary64` `associate-+r+_binary64`
17×	`log-pow_binary64` `cube-unmult_binary64` `sub0-neg_binary64`
16×	`associate-+r-_binary64`
15×	`exp-diff_binary64`
14×	`+-rgt-identity_binary64` `pow-sqr_binary64`
12×	`distribute-neg-frac_binary64` `distribute-rgt1-in_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`log-rec_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `difference-of-sqr--1_binary64`
7×	`fabs-mul_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
6×	`fabs-div_binary64`
5×	`unpow2_binary64` `mul-1-neg_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `difference-of-sqr-1_binary64`
2×	`unpow1_binary64` `cube-neg_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `count-2_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` `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-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

184 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	5231
1	409	5080
2	970	4943
3	2986	4940
4	4257	4940
5	4940	4940
6	4950	4940

prune46.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Error

Counts

117 → 3

Compiler

Compiled 1540 to 639 computations (58.5% saved)

regimes64.0ms (3.6%)

Accuracy

Total 0.5b remaining (99.6%)

Threshold costs 0.5b (99.6%)

Compiler

Compiled 438 to 328 computations (25.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
3	12	11

end1.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample517.0ms (29.4%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 46 to 39 computations (15.2% saved)

Details

analyze258.0ms (14.7%)

sample17.0ms (1%)

simplify10.0ms (0.6%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

rewrite50.0ms (2.9%)

series23.0ms (1.3%)

simplify94.0ms (5.3%)

prune19.0ms (1.1%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series1.0ms (0%)

simplify8.0ms (0.5%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite30.0ms (1.7%)

series22.0ms (1.2%)

simplify105.0ms (6%)

prune14.0ms (0.8%)

localize9.0ms (0.5%)

rewrite137.0ms (7.8%)

series61.0ms (3.5%)

simplify254.0ms (14.4%)

prune46.0ms (2.6%)

regimes64.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0.1%)

sample517.0ms (29.4%)

Profiling