Details

analyze280.0ms (19.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

60×	`cancel-sign-sub-inv_binary64`
58×	`distribute-rgt-in_binary64`
40×	`sub-neg_binary64`
38×	`distribute-lft-neg-out_binary64`
34×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
30×	`distribute-lft-in_binary64` `associate--r+_binary64`
28×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-l_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
20×	`unsub-neg_binary64` `*-commutative_binary64`
16×	`distribute-lft-neg-in_binary64`
14×	`associate-+l-_binary64`
10×	`sub0-neg_binary64`
8×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
6×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
4×	`*-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `associate--r-_binary64` `associate--l+_binary64`
2×	`+-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	16	20
2	36	20
3	66	20
4	93	20
5	142	20
6	245	20
7	343	20
8	359	20
9	373	20
10	328	20
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
0%	99.9%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify19.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

44×	`distribute-rgt-in_binary64`
38×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-in_binary64`
27×	`unsub-neg_binary64`
26×	`sub-neg_binary64`
22×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64` `associate-r_binary64`
21×	`neg-sub0_binary64` `associate--r+_binary64`
20×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
18×	`associate-l_binary64`
17×	`distribute-rgt-neg-out_binary64`
13×	`*-commutative_binary64`
12×	`distribute-lft-neg-in_binary64`
9×	`associate-+l-_binary64`
8×	`associate--r-_binary64`
6×	`remove-double-neg_binary64` `sub0-neg_binary64`
5×	`*-lft-identity_binary64` `+-commutative_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64`
3×	`+-lft-identity_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `--rgt-identity_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+r-_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` `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` `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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	21	10
3	39	10
4	56	10
5	83	10
6	134	10
7	196	10
8	246	10
9	259	10
10	249	10
11	212	10

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x x) y)

rewrite26.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 15

Calls

1 calls:

13.0ms

(-.f64 (*.f64 x x) y)

Compiler

Compiled 207 to 86 computations (58.5% saved)

series32.0ms (2.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

28.0ms

(-.f64 (*.f64 x x) y)

Compiler

Compiled 131 to 135 computations (-3.1% saved)

simplify92.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

689×	`unswap-sqr_binary64`
645×	`associate-l_binary64`
497×	`associate-r_binary64`
274×	`distribute-rgt-in_binary64`
244×	`distribute-lft-in_binary64`
209×	`cancel-sign-sub-inv_binary64`
204×	`distribute-rgt-neg-out_binary64`
179×	`unsub-neg_binary64`
145×	`times-frac_binary64`
135×	`*-commutative_binary64`
102×	`exp-prod_binary64`
92×	`distribute-neg-in_binary64`
81×	`sqr-pow_binary64`
79×	`exp-sum_binary64`
71×	`cube-prod_binary64`
63×	`unpow3_binary64`
58×	`neg-sub0_binary64`
51×	`sub-neg_binary64`
46×	`difference-of-squares_binary64`
44×	`distribute-lft-neg-out_binary64`
38×	`mul0-rgt_binary64`
37×	`mul0-lft_binary64`
36×	`neg-mul-1_binary64`
35×	`distribute-neg-out_binary64`
34×	`pow-plus_binary64`
29×	`cube-unmult_binary64`
28×	`associate-+r+_binary64`
24×	`pow-sqr_binary64` `swap-sqr_binary64` `associate-+l+_binary64` `+-commutative_binary64`
20×	`exp-diff_binary64`
19×	`distribute-rgt-out_binary64`
16×	`log-prod_binary64`
15×	`distribute-lft-neg-in_binary64`
14×	`sqr-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`
12×	`cube-mult_binary64` `distribute-lft-out_binary64`
9×	`sub0-neg_binary64`
8×	`associate-+l-_binary64`
7×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
5×	`div-sub_binary64`
4×	`exp-neg_binary64` `cube-neg_binary64` `fabs-mul_binary64` `associate-/l*_binary64` `associate--r+_binary64`
3×	`rem-sqrt-square_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `associate-*r/_binary64`
2×	`unpow2_binary64` `fabs-sqr_binary64` `+-lft-identity_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `fabs-sub_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_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-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

27 → 19

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	244
1	100	214
2	197	214
3	669	214
4	2421	214
5	4641	214
6	4966	214
7	4853	214

prune13.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Error

Counts

20 → 2

Compiler

Compiled 94 to 54 computations (42.6% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (*.f64 x x))
4.0b	(-.f64 (pow.f64 x 4) (*.f64 y y))
32.3b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 y (.f64 x x)))

rewrite73.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
15×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `sqr-pow_binary64`
3×	`pow1_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 y (.f64 x x)))
5.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
3.0ms	(+.f64 y (*.f64 x x))

Compiler

Compiled 1822 to 795 computations (56.4% saved)

series102.0ms (7.2%)

Error

Counts

3 → 36

Calls

3 calls:

38.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 y (.f64 x x)))
33.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
23.0ms	(+.f64 y (*.f64 x x))

Compiler

Compiled 728 to 598 computations (17.9% saved)

simplify147.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

398×	`div-sub_binary64`
344×	`associate-l_binary64`
289×	`associate-r_binary64`
270×	`cancel-sign-sub-inv_binary64`
219×	`associate-/l*_binary64`
161×	`distribute-rgt-in_binary64`
155×	`exp-prod_binary64` `associate-*l/_binary64`
142×	`distribute-lft-in_binary64`
118×	`sub-neg_binary64`
114×	`associate-/r*_binary64`
111×	`associate-/l/_binary64`
110×	`cube-prod_binary64`
107×	`*-commutative_binary64`
91×	`associate-*r/_binary64`
90×	`times-frac_binary64`
86×	`exp-sum_binary64`
82×	`sqr-pow_binary64` `difference-of-squares_binary64` `associate-/r/_binary64`
70×	`unpow3_binary64`
60×	`unswap-sqr_binary64`
54×	`neg-sub0_binary64`
53×	`unsub-neg_binary64`
48×	`neg-mul-1_binary64`
46×	`distribute-rgt-neg-in_binary64`
44×	`+-commutative_binary64`
42×	`cube-div_binary64`
38×	`exp-diff_binary64`
37×	`distribute-lft-neg-in_binary64`
36×	`pow-plus_binary64`
35×	`swap-sqr_binary64`
32×	`associate-+l+_binary64` `associate-+r+_binary64`
31×	`cube-mult_binary64`
25×	`distribute-neg-frac_binary64`
24×	`fabs-mul_binary64`
21×	`log-prod_binary64` `*-rgt-identity_binary64`
17×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
16×	`log-div_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64`
15×	`cube-unmult_binary64` `associate-+r-_binary64`
14×	`*-lft-identity_binary64`
13×	`associate-+l-_binary64`
10×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64`
8×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
7×	`cube-neg_binary64`
6×	`unpow1/2_binary64` `distribute-rgt-neg-out_binary64`
5×	`unpow2_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
4×	`remove-double-neg_binary64` `div0_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
3×	`unpow1_binary64` `fabs-sqr_binary64` `associate--l-_binary64` `associate--r+_binary64`
2×	`fabs-neg_binary64` `fabs-sub_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `cancel-sign-sub_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` `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` `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-fabs_binary64` `sqr-abs_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

106 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1997
1	330	1867
2	929	1825
3	3132	1666
4	4536	1666
5	4951	1666
6	4879	1666

prune23.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Error

Counts

75 → 2

Compiler

Compiled 678 to 292 computations (56.9% saved)

regimes81.0ms (5.8%)

Accuracy

Total 0.0b remaining (13.1%)

Threshold costs 0.0b (13.1%)

Compiler

Compiled 474 to 394 computations (16.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end1.0ms (0.1%)

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

sample481.0ms (34.1%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
4.0ms	186×	body	128	invalid

Compiler

Compiled 37 to 32 computations (13.5% saved)

Iter	Nodes	Cost
0	10	20
1	16	20
2	36	20
3	66	20
4	93	20
5	142	20
6	245	20
7	343	20
8	359	20
9	373	20
10	328	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	10	10
2	21	10
3	39	10
4	56	10
5	83	10
6	134	10
7	196	10
8	246	10
9	259	10
10	249	10
11	212	10

Iter	Nodes	Cost
0	10	20
1	16	20
2	36	20
3	66	20
4	93	20
5	142	20
6	245	20
7	343	20
8	359	20
9	373	20
10	328	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	10	10
2	21	10
3	39	10
4	56	10
5	83	10
6	134	10
7	196	10
8	246	10
9	259	10
10	249	10
11	212	10

Details

analyze280.0ms (19.9%)

sample18.0ms (1.3%)

simplify19.0ms (1.3%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

rewrite26.0ms (1.8%)

series32.0ms (2.3%)

simplify92.0ms (6.6%)

prune13.0ms (0.9%)

localize9.0ms (0.7%)

rewrite73.0ms (5.2%)

series102.0ms (7.2%)

simplify147.0ms (10.4%)

prune23.0ms (1.6%)

regimes81.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end1.0ms (0.1%)

sample481.0ms (34.1%)

Profiling

Iter	Nodes	Cost
0	10	20
1	16	20
2	36	20
3	66	20
4	93	20
5	142	20
6	245	20
7	343	20
8	359	20
9	373	20
10	328	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	10	10
2	21	10
3	39	10
4	56	10
5	83	10
6	134	10
7	196	10
8	246	10
9	259	10
10	249	10
11	212	10