Details

analyze105.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

26×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-in_binary64` `associate--r+_binary64`
20×	`sub-neg_binary64`
16×	`neg-mul-1_binary64`
14×	`distribute-rgt-neg-in_binary64`
12×	`neg-sub0_binary64`
10×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64`
8×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `associate-r_binary64` `associate--r-_binary64`
6×	`distribute-neg-in_binary64` `associate-+l-_binary64` `+-commutative_binary64`
4×	`-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-lft-in_binary64` `associate-l*_binary64`
2×	`+-rgt-identity_binary64` `+-lft-identity_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` `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` `--rgt-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_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` `associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	52	14
4	80	14
5	121	14
6	163	14
7	182	14
8	184	14
9	156	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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify16.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
22×	`sub-neg_binary64`
19×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
18×	`associate--r+_binary64`
17×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-neg-in_binary64`
13×	`distribute-rgt-neg-out_binary64`
12×	`distribute-rgt-neg-in_binary64`
9×	`*-commutative_binary64`
8×	`associate-r_binary64` `associate--r-_binary64` `associate-+l-_binary64`
7×	`distribute-lft-neg-in_binary64`
6×	`sub0-neg_binary64`
5×	`remove-double-neg_binary64` `associate-l_binary64`
4×	`*-lft-identity_binary64` `+-commutative_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` `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` `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` `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_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	6	7
1	9	7
2	20	7
3	34	7
4	48	7
5	73	7
6	113	7
7	150	7
8	173	7
9	193	7
10	184	7
11	156	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 5 computations (0% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite31.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64` `associate-r_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 317 to 175 computations (44.8% saved)

series22.0ms (1.6%)

Error

Counts

1 → 12

Calls

1 calls:

18.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 115 to 119 computations (-3.5% saved)

simplify55.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

555×	`unsub-neg_binary64`
539×	`distribute-rgt-neg-out_binary64`
501×	`*-commutative_binary64`
332×	`distribute-neg-out_binary64`
281×	`associate-l_binary64`
263×	`neg-sub0_binary64`
257×	`associate-r_binary64`
245×	`neg-mul-1_binary64`
178×	`distribute-lft-neg-out_binary64`
132×	`distribute-rgt-in_binary64`
128×	`distribute-lft-in_binary64`
122×	`sqr-pow_binary64`
114×	`unswap-sqr_binary64`
90×	`exp-prod_binary64`
80×	`associate-+r+_binary64`
68×	`distribute-neg-in_binary64`
62×	`cancel-sign-sub-inv_binary64`
61×	`associate-+l+_binary64`
53×	`swap-sqr_binary64`
49×	`sub-neg_binary64`
41×	`+-commutative_binary64`
37×	`exp-sum_binary64`
26×	`distribute-rgt-out_binary64`
24×	`distribute-lft-out_binary64`
22×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
21×	`exp-diff_binary64`
19×	`div-sub_binary64`
18×	`distribute-rgt-neg-in_binary64`
17×	`difference-of-squares_binary64`
13×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`sub0-neg_binary64`
10×	`sqr-neg_binary64`
9×	`cube-unmult_binary64` `mul-1-neg_binary64` `associate-+l-_binary64`
8×	`times-frac_binary64`
7×	`associate-+r-_binary64`
6×	`pow-plus_binary64` `distribute-frac-neg_binary64`
5×	`cube-prod_binary64` `remove-double-neg_binary64`
4×	`unpow3_binary64`
3×	`--rgt-identity_binary64` `distribute-neg-frac_binary64` `associate-/l*_binary64`
2×	`exp-neg_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `associate-*r/_binary64` `associate--r+_binary64`
1×	`log-prod_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_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` `unpow2_binary64` `unpow1/2_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` `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` `sqr-abs_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

42 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	367
1	154	343
2	344	343
3	1347	343
4	2212	343
5	4959	343

prune6.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Compiler

Compiled 75 to 52 computations (30.7% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 178 to 138 computations (22.5% saved)

series23.0ms (1.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

21.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 115 to 119 computations (-3.5% saved)

simplify77.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

512×	`distribute-rgt-neg-out_binary64`
402×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
336×	`times-frac_binary64`
320×	`*-commutative_binary64`
284×	`associate-l_binary64`
257×	`distribute-rgt-out_binary64`
248×	`associate-r_binary64`
206×	`neg-sub0_binary64`
197×	`distribute-neg-in_binary64`
184×	`neg-mul-1_binary64`
151×	`distribute-lft-out_binary64`
131×	`cancel-sign-sub-inv_binary64`
126×	`distribute-lft-neg-out_binary64`
106×	`unswap-sqr_binary64`
104×	`sub-neg_binary64`
97×	`distribute-rgt-neg-in_binary64`
92×	`associate-+l+_binary64`
90×	`associate-+r+_binary64`
89×	`distribute-lft-neg-in_binary64`
88×	`remove-double-neg_binary64`
76×	`sqr-pow_binary64`
60×	`cancel-sign-sub_binary64`
59×	`unsub-neg_binary64`
56×	`exp-prod_binary64`
54×	`cube-prod_binary64`
45×	`distribute-rgt-out--_binary64`
36×	`mul0-rgt_binary64` `mul0-lft_binary64`
32×	`+-commutative_binary64`
28×	`distribute-neg-out_binary64`
27×	`exp-sum_binary64`
22×	`exp-diff_binary64`
20×	`associate-+l-_binary64`
18×	`associate-+r-_binary64`
17×	`pow-sqr_binary64` `swap-sqr_binary64`
13×	`cube-neg_binary64`
12×	`unpow3_binary64` `sub0-neg_binary64`
11×	`distribute-lft-out--_binary64`
10×	`div-sub_binary64`
9×	`cube-mult_binary64` `+-rgt-identity_binary64`
8×	`cube-unmult_binary64` `sqr-neg_binary64`
7×	`difference-of-squares_binary64`
6×	`associate--r-_binary64`
5×	`exp-neg_binary64` `distribute-frac-neg_binary64`
4×	`pow-plus_binary64` `--rgt-identity_binary64` `associate-*r/_binary64` `associate--l-_binary64`
3×	`log-prod_binary64` `associate-/l/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate--r+_binary64`
2×	`-lft-identity_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-rgt-identity_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` `unpow2_binary64` `unpow1/2_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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

23 → 14

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	232
1	117	208
2	365	208
3	1190	204
4	3335	204
5	4571	204
6	4998	204

prune6.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Error

Counts

16 → 3

Compiler

Compiled 114 to 72 computations (36.8% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 500 (+.f64 y x))
0.3b	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
4.1b	(-.f64 (.f64 x x) (.f64 y y))
26.9b	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 y x)))

rewrite86.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `associate-r/_binary64` `associate-r*_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `difference-of-squares_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `diff-log_binary64` `distribute-lft-out_binary64`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 y x)))
7.0ms	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
6.0ms	(*.f64 500 (+.f64 y x))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1962 to 729 computations (62.8% saved)

series120.0ms (8.9%)

Error

Counts

4 → 48

Calls

4 calls:

34.0ms	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
33.0ms	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 y x)))
26.0ms	(-.f64 (.f64 x x) (.f64 y y))
20.0ms	(*.f64 500 (+.f64 y x))

Compiler

Compiled 1029 to 864 computations (16% saved)

simplify125.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-rgt-in_binary64`
588×	`distribute-lft-in_binary64`
226×	`associate-/l/_binary64`
141×	`times-frac_binary64`
131×	`associate-/r/_binary64`
101×	`associate-l_binary64`
95×	`associate-r_binary64`
92×	`*-commutative_binary64`
90×	`exp-prod_binary64`
86×	`associate-/l*_binary64`
78×	`div-sub_binary64`
74×	`associate-/r*_binary64`
66×	`cancel-sign-sub-inv_binary64`
60×	`exp-sum_binary64`
54×	`sub-neg_binary64`
52×	`distribute-rgt-neg-in_binary64`
42×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
40×	`unswap-sqr_binary64`
39×	`log-div_binary64`
35×	`sqr-pow_binary64`
26×	`distribute-lft-neg-out_binary64`
24×	`neg-mul-1_binary64` `neg-sub0_binary64`
20×	`unpow3_binary64` `distribute-rgt-neg-out_binary64`
19×	`+-commutative_binary64`
16×	`exp-diff_binary64` `distribute-neg-in_binary64` `associate-l/_binary64` `associate-r/_binary64`
15×	`cube-prod_binary64` `distribute-rgt-out_binary64`
13×	`difference-of-squares_binary64` `swap-sqr_binary64`
10×	`unsub-neg_binary64`
8×	`pow-plus_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
6×	`pow-sqr_binary64`
5×	`cube-div_binary64`
4×	`cube-mult_binary64` `associate--l+_binary64`
3×	`associate-+l+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `mul-1-neg_binary64` `-lft-identity_binary64` `-inverses_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` `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-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` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

134 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1977
1	415	1653
2	1684	1473
3	4773	1473
4	4993	1473
5	4937	1473

prune35.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 884 to 402 computations (54.5% saved)

regimes122.0ms (9%)

Accuracy

Total 0.0b remaining (62.4%)

Threshold costs 0.0b (62.4%)

Compiler

Compiled 703 to 635 computations (9.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	23	10
3	27	10
4	30	10
5	31	10
6	30	10

end1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

sample472.0ms (34.9%)

Algorithm

1×

intervals

Results

161.0ms	7977×	body	128	valid
1.0ms	59×	body	128	invalid
1.0ms	8×	body	1024	valid
0.0ms	6×	body	2048	valid
0.0ms	6×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 43 to 47 computations (-9.3% saved)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	52	14
4	80	14
5	121	14
6	163	14
7	182	14
8	184	14
9	156	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	52	14
4	80	14
5	121	14
6	163	14
7	182	14
8	184	14
9	156	14
0	2	2
1	2	2

Details

analyze105.0ms (7.8%)

sample13.0ms (0.9%)

simplify16.0ms (1.2%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite31.0ms (2.3%)

series22.0ms (1.6%)

simplify55.0ms (4.1%)

prune6.0ms (0.5%)

localize5.0ms (0.4%)

rewrite13.0ms (0.9%)

series23.0ms (1.7%)

simplify77.0ms (5.7%)

prune6.0ms (0.4%)

localize9.0ms (0.7%)

rewrite86.0ms (6.4%)

series120.0ms (8.9%)

simplify125.0ms (9.3%)

prune35.0ms (2.6%)

regimes122.0ms (9%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end1.0ms (0%)

sample472.0ms (34.9%)

Profiling

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	52	14
4	80	14
5	121	14
6	163	14
7	182	14
8	184	14
9	156	14
0	2	2
1	2	2