Details

analyze51.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

40×	`sub-neg_binary64`
38×	`cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-in_binary64` `associate--r+_binary64`
24×	`distribute-rgt-neg-in_binary64`
20×	`neg-mul-1_binary64`
18×	`*-commutative_binary64`
16×	`distribute-lft-neg-in_binary64`
12×	`associate--r-_binary64`
10×	`neg-sub0_binary64` `sub0-neg_binary64` `associate--l-_binary64` `+-commutative_binary64`
8×	`unsub-neg_binary64` `distribute-neg-frac_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate--l+_binary64`
6×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
4×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-r/_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` `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-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` `distribute-lft-in_binary64` `count-2_binary64` `associate-l_binary64` `associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	250×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

24×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-in_binary64`
14×	`neg-mul-1_binary64`
13×	`distribute-rgt-neg-in_binary64`
12×	`unsub-neg_binary64`
11×	`associate--r+_binary64` `*-commutative_binary64`
9×	`neg-sub0_binary64`
8×	`distribute-lft-neg-in_binary64` `associate-+l-_binary64` `+-commutative_binary64`
7×	`associate--r-_binary64`
6×	`distribute-neg-in_binary64`
5×	`*-lft-identity_binary64` `sub0-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-in_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l+_binary64`
4×	`+-lft-identity_binary64` `distribute-neg-frac_binary64` `associate-/l_binary64` `associate-/r_binary64`
3×	`remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
2×	`-rgt-identity_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `distribute-lft-out_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-l_binary64` `associate-r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

prune1.0ms (0%)

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 8 to 7 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64` `*-un-lft-identity_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` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 199 to 97 computations (51.3% saved)

series20.0ms (0.7%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

18.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 119 to 103 computations (13.4% saved)

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

849×	`div-sub_binary64`
474×	`times-frac_binary64`
416×	`distribute-rgt-out_binary64`
331×	`distribute-rgt-in_binary64`
315×	`associate-+l+_binary64`
313×	`cancel-sign-sub-inv_binary64`
265×	`distribute-lft-in_binary64`
253×	`associate-+r+_binary64`
212×	`unsub-neg_binary64`
161×	`distribute-rgt-neg-out_binary64`
160×	`distribute-lft-neg-out_binary64`
155×	`associate-l_binary64`
146×	`unswap-sqr_binary64`
144×	`associate-/l*_binary64`
139×	`sub-neg_binary64`
113×	`associate-r_binary64`
98×	`associate-*l/_binary64`
85×	`distribute-rgt-neg-in_binary64`
80×	`distribute-frac-neg_binary64`
79×	`*-commutative_binary64`
71×	`distribute-lft-neg-in_binary64`
70×	`associate-*r/_binary64`
62×	`associate-/l/_binary64`
59×	`neg-mul-1_binary64`
56×	`distribute-neg-frac_binary64`
55×	`+-commutative_binary64`
53×	`distribute-neg-in_binary64`
52×	`neg-sub0_binary64` `associate-+l-_binary64`
50×	`distribute-rgt-out--_binary64` `associate--r+_binary64`
49×	`associate-/r/_binary64`
37×	`cancel-sign-sub_binary64`
31×	`distribute-neg-out_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64` `sqr-pow_binary64`
29×	`associate-/r*_binary64`
23×	`cube-prod_binary64` `sub0-neg_binary64`
21×	`associate-+r-_binary64`
16×	`distribute-lft-out_binary64`
15×	`cube-unmult_binary64`
13×	`exp-prod_binary64`
12×	`unpow3_binary64` `pow-plus_binary64` `remove-double-neg_binary64`
10×	`exp-sum_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
9×	`associate--r-_binary64`
8×	`exp-diff_binary64` `div0_binary64`
5×	`cube-mult_binary64` `distribute-rgt1-in_binary64`
4×	`cube-div_binary64` `cube-neg_binary64` `sqr-neg_binary64` `swap-sqr_binary64`
3×	`*-lft-identity_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `sqr-abs_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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_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-lft1-in_binary64`

Counts

21 → 9

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	334
1	91	309
2	187	302
3	404	302
4	962	302
5	2561	302
6	3998	302
7	5086	302

prune13.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	7	2	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	3	10

Error

0.0b

Counts

10 → 3

Compiler

Compiled 191 to 103 computations (46.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

rewrite118.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3567 to 1814 computations (49.1% saved)

series275.0ms (9.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

68.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
54.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
53.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
53.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4213 to 2749 computations (34.7% saved)

simplify181.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

381×	`*-commutative_binary64`
337×	`distribute-rgt-in_binary64`
318×	`distribute-lft-in_binary64`
274×	`cancel-sign-sub-inv_binary64`
256×	`unswap-sqr_binary64`
211×	`distribute-rgt-neg-in_binary64`
205×	`distribute-lft-neg-in_binary64`
160×	`sqr-pow_binary64` `associate-r_binary64`
144×	`log-prod_binary64`
126×	`associate-l_binary64`
121×	`sub-neg_binary64`
90×	`exp-prod_binary64`
78×	`associate-/l/_binary64`
64×	`neg-mul-1_binary64` `neg-sub0_binary64`
62×	`associate-+l+_binary64`
61×	`+-commutative_binary64`
58×	`distribute-rgt-out_binary64`
49×	`associate-+r+_binary64`
43×	`exp-sum_binary64`
42×	`associate-/r*_binary64`
36×	`cube-prod_binary64`
35×	`log-pow_binary64`
28×	`pow-plus_binary64` `distribute-rgt-out--_binary64`
27×	`swap-sqr_binary64`
26×	`unsub-neg_binary64` `associate--l+_binary64` `associate-+r-_binary64`
25×	`+-rgt-identity_binary64`
22×	`pow-sqr_binary64`
21×	`unpow3_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
20×	`unpow1/3_binary64`
19×	`associate-/l*_binary64`
16×	`rem-sqrt-square_binary64`
14×	`exp-diff_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
13×	`sub0-neg_binary64`
12×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
10×	`distribute-neg-in_binary64`
9×	`count-2_binary64`
7×	`distribute-lft-out--_binary64`
6×	`unpow2_binary64` `div-sub_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-div_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `cube-mult_binary64` `associate-/r/_binary64`
3×	`unpow1_binary64` `exp-neg_binary64` `rem-exp-log_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
1×	`rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

137 → 103

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	4316
1	428	4022
2	1217	3903
3	2518	3885
4	4786	3810
5	4894	3810

prune76.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	5	106

Error

0.0b

Counts

106 → 5

Compiler

Compiled 3007 to 1600 computations (46.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.4b	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

rewrite113.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`pow-prod-up_binary64`
4×	`rem-sqrt-square_binary64` `frac-times_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
2.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 2645 to 1352 computations (48.9% saved)

series111.0ms (3.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

29.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
26.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
20.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
18.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

Compiler

Compiled 1540 to 1067 computations (30.7% saved)

simplify174.0ms (6%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac_binary64`
444×	`associate-l_binary64`
365×	`associate-r_binary64`
260×	`cancel-sign-sub-inv_binary64`
195×	`unswap-sqr_binary64`
151×	`distribute-rgt-out_binary64`
135×	`*-commutative_binary64`
127×	`distribute-rgt-neg-in_binary64`
119×	`distribute-lft-neg-in_binary64`
107×	`distribute-lft-out_binary64`
100×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
90×	`distribute-neg-frac_binary64`
85×	`exp-prod_binary64`
76×	`log-prod_binary64`
74×	`associate-/l*_binary64`
68×	`associate-*r/_binary64`
66×	`sqr-pow_binary64`
65×	`cube-prod_binary64`
61×	`associate-*l/_binary64`
53×	`sub-neg_binary64` `associate-/r*_binary64`
52×	`div-sub_binary64`
47×	`swap-sqr_binary64`
34×	`unpow3_binary64`
33×	`neg-sub0_binary64`
31×	`neg-mul-1_binary64`
30×	`rem-sqrt-square_binary64`
28×	`+-commutative_binary64`
27×	`pow-plus_binary64` `associate-+l+_binary64`
22×	`cube-unmult_binary64` `associate-+r+_binary64`
19×	`-rgt-identity_binary64` `-lft-identity_binary64`
15×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
14×	`log-pow_binary64`
13×	`pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
12×	`+-rgt-identity_binary64` `associate--l+_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`unsub-neg_binary64` `associate-+l-_binary64`
9×	`rem-square-sqrt_binary64`
8×	`distribute-neg-in_binary64`
6×	`exp-sum_binary64` `sub0-neg_binary64`
5×	`distribute-lft-out--_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `associate-/r/_binary64`
2×	`difference-of-squares_binary64` `count-2_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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-cube-cbrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

135 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2903
1	248	2722
2	706	2670
3	2410	2577
4	4833	2577
5	4915	2577
6	5004	2577

prune55.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Error

Counts

82 → 6

Compiler

Compiled 1474 to 794 computations (46.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
0.2b	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

rewrite128.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
12×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-div_binary64` `sqrt-prod_binary64` `associate-*l/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `cbrt-prod_binary64`
7×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `-commutative_binary64` `associate-r/_binary64`

Counts

4 → 82

Calls

4 calls:

15.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
6.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3702 to 1964 computations (46.9% saved)

series292.0ms (10.1%)

Error

Counts

4 → 45

Calls

4 calls:

91.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
57.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
57.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
46.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))

Compiler

Compiled 4433 to 2932 computations (33.9% saved)

simplify181.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

731×	`times-frac_binary64`
275×	`associate-l_binary64`
273×	`unswap-sqr_binary64`
265×	`associate-r_binary64`
217×	`cancel-sign-sub-inv_binary64`
171×	`*-commutative_binary64`
140×	`associate-/l*_binary64`
128×	`distribute-rgt-neg-in_binary64`
122×	`distribute-lft-neg-in_binary64`
107×	`sqr-pow_binary64`
104×	`associate-*r/_binary64`
103×	`associate-/r*_binary64`
95×	`log-prod_binary64`
93×	`associate-*l/_binary64`
91×	`distribute-rgt-in_binary64`
85×	`distribute-lft-in_binary64`
79×	`+-commutative_binary64`
53×	`associate-+l+_binary64`
48×	`associate-+r+_binary64`
41×	`exp-prod_binary64`
38×	`sub-neg_binary64`
36×	`distribute-rgt-out_binary64`
34×	`associate-/r/_binary64` `associate--l+_binary64`
32×	`cube-prod_binary64`
30×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r-_binary64`
26×	`distribute-rgt-out--_binary64`
25×	`*-lft-identity_binary64`
23×	`associate-+l-_binary64`
20×	`rem-sqrt-square_binary64`
18×	`exp-sum_binary64`
17×	`unpow1/3_binary64` `swap-sqr_binary64`
15×	`cube-unmult_binary64` `*-rgt-identity_binary64`
13×	`log-pow_binary64` `pow-plus_binary64`
12×	`associate-/l/_binary64`
11×	`unpow3_binary64` `distribute-neg-frac_binary64`
8×	`distribute-lft-neg-out_binary64`
7×	`exp-diff_binary64` `cube-mult_binary64` `unsub-neg_binary64` `pow-sqr_binary64`
5×	`unpow1/2_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-exp-log_binary64` `rem-square-sqrt_binary64` `associate--r-_binary64`
2×	`log-div_binary64` `exp-neg_binary64` `sqr-abs_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r+_binary64`
1×	`exp-to-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `div-sub_binary64` `+-inverses_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-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` `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-lft-out_binary64` `associate--l-_binary64`

Counts

127 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	5814
1	637	5506
2	1920	5290
3	4487	5234
4	5469	5234

prune79.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	98	6	104

Error

Counts

104 → 6

Compiler

Compiled 3259 to 1774 computations (45.6% saved)

regimes245.0ms (8.5%)

Accuracy

Total 0.0b remaining (55.7%)

Threshold costs 0.0b (55.7%)

Compiler

Compiled 3878 to 2587 computations (33.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `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-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	8	12
1	11	12
2	16	12
3	18	12
4	19	12
5	19	12

end1.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

sample600.0ms (20.8%)

Algorithm

1×

intervals

Results

199.0ms	7684×	body	128	valid
9.0ms	108×	body	1024	valid
9.0ms	80×	body	2048	valid
6.0ms	86×	body	512	valid
2.0ms	42×	body	256	valid

Compiler

Compiled 163 to 120 computations (26.4% saved)

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

Details

analyze51.0ms (1.8%)

sample14.0ms (0.5%)

simplify18.0ms (0.6%)

prune1.0ms (0%)

localize5.0ms (0.2%)

rewrite20.0ms (0.7%)

series20.0ms (0.7%)

simplify73.0ms (2.5%)

prune13.0ms (0.5%)

localize11.0ms (0.4%)

rewrite118.0ms (4.1%)

series275.0ms (9.5%)

simplify181.0ms (6.3%)

prune76.0ms (2.6%)

localize8.0ms (0.3%)

rewrite113.0ms (3.9%)

series111.0ms (3.8%)

simplify174.0ms (6%)

prune55.0ms (1.9%)

localize13.0ms (0.4%)

rewrite128.0ms (4.4%)

series292.0ms (10.1%)

simplify181.0ms (6.3%)

prune79.0ms (2.7%)

regimes245.0ms (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample600.0ms (20.8%)

Profiling

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12