Details

analyze123.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`associate-l_binary64` `*-commutative_binary64`
4×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`associate-r_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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-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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	17	20
2	23	20
3	29	20
4	41	20
5	33	20
6	46	20
7	46	20
8	47	20
9	45	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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample23.0ms (1.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

6×	`distribute-rgt-in_binary64` `*-commutative_binary64` `+-commutative_binary64`
4×	`distribute-lft-in_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
2×	`associate-+l+_binary64`
1×	`1-exp_binary64` `distribute-lft1-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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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-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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	20	10
3	26	10
4	34	10
5	36	10
6	42	10
7	45	10
8	47	10
9	45	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 354 to 88 computations (75.1% saved)

series46.0ms (2.6%)

Error

Counts

2 → 21

Calls

2 calls:

18.0ms	(+.f64 (*.f64 x y) x)
18.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 258 to 183 computations (29.1% saved)

simplify61.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

577×	`associate--r+_binary64`
429×	`distribute-rgt-out_binary64`
416×	`associate--l+_binary64`
347×	`sub-neg_binary64`
315×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
260×	`*-commutative_binary64`
240×	`+-commutative_binary64`
175×	`cancel-sign-sub-inv_binary64`
164×	`distribute-rgt-out--_binary64`
147×	`associate-l_binary64`
133×	`distribute-rgt-neg-in_binary64`
125×	`associate-r_binary64`
117×	`associate--r-_binary64`
113×	`unswap-sqr_binary64`
104×	`distribute-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
98×	`distribute-lft-out_binary64`
95×	`associate-+l+_binary64`
84×	`associate-+l-_binary64`
78×	`unsub-neg_binary64`
71×	`distribute-lft-out--_binary64`
68×	`associate-+r+_binary64`
65×	`associate-+r-_binary64`
58×	`distribute-rgt1-in_binary64`
56×	`sqr-pow_binary64`
55×	`associate--l-_binary64`
44×	`neg-mul-1_binary64`
40×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
37×	`distribute-lft1-in_binary64`
36×	`sub0-neg_binary64`
35×	`exp-sum_binary64`
24×	`+-rgt-identity_binary64`
17×	`distribute-rgt-neg-out_binary64`
14×	`exp-prod_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64`
12×	`pow-plus_binary64` `pow-sqr_binary64`
11×	`cube-prod_binary64`
9×	`cube-unmult_binary64`
8×	`difference-of-squares_binary64` `associate-/l/_binary64`
7×	`log-prod_binary64`
6×	`remove-double-neg_binary64` `associate-/l*_binary64`
5×	`unpow3_binary64` `cube-mult_binary64` `associate-*r/_binary64`
4×	`prod-exp_binary64` `exp-diff_binary64` `distribute-neg-out_binary64`
3×	`*-lft-identity_binary64`
2×	`-rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate-/r/_binary64` `associate-/r_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

46 → 32

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	520
1	160	493
2	462	487
3	1550	484
4	2627	484
5	4983	484

prune17.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Compiler

Compiled 275 to 169 computations (38.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (+.f64 y 1) x))
0.0b	(*.f64 (+.f64 y 1) x)

rewrite38.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(*.f64 (+.f64 y 1) x)
3.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))

Compiler

Compiled 428 to 278 computations (35% saved)

series40.0ms (2.3%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

18.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))
15.0ms	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 258 to 183 computations (29.1% saved)

simplify105.0ms (6%)

Algorithm

1×	egg-herbie

Rules

494×	`associate--r+_binary64`
457×	`unsub-neg_binary64`
331×	`associate--l+_binary64`
319×	`cancel-sign-sub-inv_binary64`
303×	`*-commutative_binary64`
263×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`
237×	`+-commutative_binary64`
224×	`sub-neg_binary64`
222×	`associate-l_binary64`
209×	`associate-+l-_binary64`
201×	`distribute-rgt-out_binary64`
162×	`associate-r_binary64`
158×	`unswap-sqr_binary64`
134×	`associate-+r-_binary64`
128×	`neg-mul-1_binary64`
125×	`distribute-neg-in_binary64`
115×	`distribute-rgt-out--_binary64`
97×	`distribute-rgt-neg-in_binary64`
92×	`sqr-pow_binary64`
87×	`neg-sub0_binary64` `associate--r-_binary64`
77×	`distribute-lft-neg-in_binary64`
70×	`distribute-lft-out_binary64`
65×	`sub0-neg_binary64`
49×	`exp-sum_binary64` `associate--l-_binary64`
46×	`exp-prod_binary64`
44×	`div-sub_binary64`
34×	`+-rgt-identity_binary64`
33×	`associate-+l+_binary64`
31×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`pow-sqr_binary64` `associate-+r+_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`cube-prod_binary64` `--rgt-identity_binary64`
21×	`rem-sqrt-square_binary64`
20×	`exp-diff_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`distribute-rgt1-in_binary64`
15×	`log-prod_binary64` `distribute-lft1-in_binary64`
14×	`remove-double-neg_binary64`
11×	`pow-plus_binary64`
9×	`cube-unmult_binary64` `associate-/l*_binary64`
8×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
7×	`unpow3_binary64` `unpow1/2_binary64` `difference-of-squares_binary64` `associate-/l/_binary64`
5×	`cube-neg_binary64`
4×	`sqr-neg_binary64` `associate-*r/_binary64`
3×	`cube-mult_binary64`
2×	`unpow2_binary64` `+-lft-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `count-2_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` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_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-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

53 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	548
1	173	527
2	459	527
3	1430	527
4	1940	527
5	4465	527
6	4712	527
7	4988	527

prune18.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 323 to 123 computations (61.9% saved)

localize13.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1)))))
0.0b	(+.f64 (.f64 y y) (-.f64 (.f64 1 1) (*.f64 y 1)))
3.9b	(*.f64 x (+.f64 1 (pow.f64 y 3)))
13.9b	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1))))

rewrite134.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 75

Calls

4 calls:

18.0ms	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1))))
11.0ms	(+.f64 y (/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1)))))
8.0ms	(*.f64 x (+.f64 1 (pow.f64 y 3)))
8.0ms	(+.f64 (.f64 y y) (-.f64 (.f64 1 1) (*.f64 y 1)))

Compiler

Compiled 2432 to 1682 computations (30.8% saved)

series181.0ms (10.3%)

Error

Counts

4 → 39

Calls

4 calls:

66.0ms	(+.f64 y (/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1)))))
43.0ms	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 1 1) (.f64 y 1))))
28.0ms	(*.f64 x (+.f64 1 (pow.f64 y 3)))
17.0ms	(+.f64 (.f64 y y) (-.f64 (.f64 1 1) (*.f64 y 1)))

Compiler

Compiled 1206 to 911 computations (24.5% saved)

simplify111.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
666×	`distribute-rgt-in_binary64`
598×	`distribute-lft-in_binary64`
120×	`associate-l_binary64`
101×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
94×	`exp-prod_binary64`
85×	`associate-/l*_binary64`
78×	`distribute-rgt-neg-in_binary64`
64×	`sub-neg_binary64`
63×	`*-commutative_binary64`
55×	`distribute-lft-neg-in_binary64`
49×	`log-prod_binary64` `unswap-sqr_binary64`
47×	`+-commutative_binary64`
45×	`associate-*l/_binary64`
42×	`div-sub_binary64`
38×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
37×	`*-rgt-identity_binary64`
35×	`associate-*r/_binary64`
33×	`*-lft-identity_binary64`
32×	`log-div_binary64`
31×	`distribute-neg-frac_binary64`
29×	`distribute-neg-in_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`neg-mul-1_binary64` `neg-sub0_binary64`
23×	`associate-/l/_binary64` `associate-/r*_binary64`
20×	`exp-sum_binary64` `distribute-rgt-out--_binary64`
18×	`cube-div_binary64`
17×	`unpow3_binary64` `cube-prod_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`unsub-neg_binary64`
13×	`associate-/r/_binary64`
12×	`/-rgt-identity_binary64`
9×	`pow-plus_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
8×	`associate-+l+_binary64`
7×	`cube-mult_binary64` `distribute-lft-out_binary64`
6×	`log-rec_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
5×	`associate--l+_binary64`
4×	`cube-unmult_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
3×	`unpow1/2_binary64` `prod-exp_binary64` `exp-diff_binary64` `distribute-lft1-in_binary64`
2×	`div-exp_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `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` `mul-1-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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`

Counts

114 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2121
1	422	1996
2	1624	1946
3	4905	1946
4	5009	1946

prune76.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1607 to 1038 computations (35.4% saved)

regimes223.0ms (12.7%)

Accuracy

Total 0.0b remaining (38.2%)

Threshold costs 0.0b (38.2%)

Compiler

Compiled 2061 to 1647 computations (20.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	11	10

end6.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 21 to 18 computations (14.3% saved)

sample485.0ms (27.7%)

Algorithm

1×

intervals

Results

186.0ms	7999×	body	128	valid
1.0ms	63×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 46 to 46 computations (0% saved)

Details

analyze123.0ms (7%)

sample23.0ms (1.3%)

simplify10.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite28.0ms (1.6%)

series46.0ms (2.6%)

simplify61.0ms (3.5%)

prune17.0ms (1%)

localize5.0ms (0.3%)

rewrite38.0ms (2.1%)

series40.0ms (2.3%)

simplify105.0ms (6%)

prune18.0ms (1%)

localize13.0ms (0.8%)

rewrite134.0ms (7.7%)

series181.0ms (10.3%)

simplify111.0ms (6.4%)

prune76.0ms (4.3%)

regimes223.0ms (12.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end6.0ms (0.4%)

sample485.0ms (27.7%)

Profiling