Details

analyze84.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

26×	`sub-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`associate--r+_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64` `associate-+l-_binary64`
10×	`+-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64`
6×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64` `*-commutative_binary64`
4×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r+_binary64`
2×	`sqr-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_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` `sqr-abs_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` `--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	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify13.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

21×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`
10×	`distribute-rgt-in_binary64`
9×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
8×	`neg-sub0_binary64`
7×	`distribute-lft-neg-out_binary64`
6×	`+-commutative_binary64`
5×	`sub0-neg_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64`
4×	`-lft-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `-commutative_binary64`
3×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate-r_binary64` `associate--l+_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` `sqr-abs_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` `swap-sqr_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-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` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	25	7
4	36	7
5	51	7
6	74	7
7	93	7
8	111	7
9	113	7
10	109	7
11	90	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 13

Calls

1 calls:

3.0ms

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

Compiler

Compiled 152 to 47 computations (69.1% saved)

series21.0ms (2.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

19.0ms

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

Compiler

Compiled 89 to 93 computations (-4.5% saved)

simplify64.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

843×	`unsub-neg_binary64`
485×	`unswap-sqr_binary64`
436×	`associate-l_binary64`
310×	`associate-r_binary64`
271×	`neg-sub0_binary64`
246×	`neg-mul-1_binary64`
212×	`cancel-sign-sub-inv_binary64`
182×	`associate-+l+_binary64`
159×	`distribute-rgt-in_binary64`
156×	`distribute-rgt-neg-in_binary64`
151×	`distribute-rgt-neg-out_binary64`
148×	`distribute-lft-neg-in_binary64`
140×	`distribute-lft-neg-out_binary64`
132×	`distribute-rgt-out_binary64`
128×	`distribute-lft-in_binary64`
119×	`exp-prod_binary64`
84×	`times-frac_binary64`
71×	`+-commutative_binary64`
68×	`cube-prod_binary64` `distribute-lft-out_binary64`
58×	`*-commutative_binary64`
54×	`sqr-pow_binary64`
47×	`distribute-neg-in_binary64`
46×	`sub-neg_binary64`
38×	`associate-+l-_binary64`
35×	`distribute-neg-out_binary64`
34×	`associate-/l*_binary64`
31×	`exp-sum_binary64`
28×	`associate-+r+_binary64`
25×	`pow-plus_binary64`
24×	`cube-unmult_binary64` `swap-sqr_binary64`
23×	`difference-of-squares_binary64`
22×	`associate--r+_binary64`
21×	`unpow3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r*_binary64`
20×	`exp-diff_binary64`
17×	`associate-+r-_binary64`
15×	`sqr-neg_binary64`
14×	`pow-sqr_binary64`
13×	`div-sub_binary64` `distribute-rgt-out--_binary64` `associate-/l/_binary64`
10×	`associate-*r/_binary64`
8×	`cube-mult_binary64` `sub0-neg_binary64`
7×	`mul-1-neg_binary64`
6×	`+-rgt-identity_binary64` `associate--l+_binary64`
5×	`exp-neg_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
3×	`cube-neg_binary64`
2×	`--rgt-identity_binary64` `+-lft-identity_binary64`
1×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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` `count-2_binary64`

Counts

25 → 15

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	241
1	84	217
2	192	214
3	509	214
4	1686	214
5	4009	214
6	5263	214

prune6.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

0.0b

Counts

16 → 2

Compiler

Compiled 79 to 38 computations (51.9% saved)

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))
0.1b	(pow.f64 (-.f64 x (*.f64 y y)) 3)
38.8b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))

rewrite47.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`cbrt-prod_binary64` `add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `pow-unpow_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 65

Calls

3 calls:

5.0ms	(-.f64 x (*.f64 y y))
4.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
4.0ms	(pow.f64 (-.f64 x (*.f64 y y)) 3)

Compiler

Compiled 875 to 353 computations (59.7% saved)

series95.0ms (9.5%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

40.0ms	(pow.f64 (-.f64 x (*.f64 y y)) 3)
23.0ms	(-.f64 x (*.f64 y y))
21.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))

Compiler

Compiled 773 to 711 computations (8% saved)

simplify101.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-l_binary64`
667×	`associate-r_binary64`
396×	`exp-prod_binary64`
289×	`unswap-sqr_binary64`
282×	`log-prod_binary64`
266×	`distribute-rgt-in_binary64`
263×	`distribute-lft-in_binary64`
260×	`cube-prod_binary64`
120×	`*-commutative_binary64`
106×	`cancel-sign-sub-inv_binary64`
70×	`sqr-pow_binary64`
67×	`exp-sum_binary64`
39×	`distribute-rgt-neg-in_binary64`
38×	`unpow3_binary64`
34×	`distribute-lft-neg-in_binary64`
32×	`pow-plus_binary64` `cube-unmult_binary64` `sub-neg_binary64`
31×	`+-commutative_binary64`
30×	`swap-sqr_binary64`
28×	`distribute-rgt-out_binary64`
26×	`cube-mult_binary64`
22×	`log-pow_binary64`
19×	`associate-+l+_binary64`
18×	`associate-+l-_binary64` `associate-+r-_binary64`
17×	`associate-+r+_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`neg-sub0_binary64`
12×	`pow-sqr_binary64` `associate--l+_binary64`
11×	`neg-mul-1_binary64` `distribute-rgt-out--_binary64`
10×	`rem-cbrt-cube_binary64` `rem-sqrt-square_binary64`
9×	`distribute-rgt-neg-out_binary64`
7×	`difference-of-squares_binary64`
6×	`associate--r+_binary64`
5×	`exp-diff_binary64`
4×	`exp-neg_binary64` `unsub-neg_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`unpow2_binary64` `+-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l*_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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-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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

113 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1648
1	252	1562
2	734	1496
3	3957	1496
4	5121	1496

prune23.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

0.0b

Counts

86 → 2

Compiler

Compiled 453 to 202 computations (55.4% saved)

regimes67.0ms (6.7%)

Accuracy

Total 0.0b remaining (9.1%)

Threshold costs 0.0b (9.1%)

Compiler

Compiled 344 to 254 computations (26.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_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` `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_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-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	21	7
4	23	7
5	23	7

end1.0ms (0.1%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample436.0ms (43.7%)

Algorithm

1×

intervals

Results

150.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Details

analyze84.0ms (8.4%)

sample12.0ms (1.2%)

simplify13.0ms (1.3%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite15.0ms (1.5%)

series21.0ms (2.1%)

simplify64.0ms (6.4%)

prune6.0ms (0.6%)

localize6.0ms (0.6%)

rewrite47.0ms (4.7%)

series95.0ms (9.5%)

simplify101.0ms (10.1%)

prune23.0ms (2.3%)

regimes67.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end1.0ms (0.1%)

sample436.0ms (43.7%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2