Details

analyze478.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

436×	`times-frac_binary64`
374×	`div-sub_binary64`
198×	`cancel-sign-sub-inv_binary64`
185×	`sub-neg_binary64`
167×	`associate-/l*_binary64`
132×	`associate-/r*_binary64`
118×	`distribute-rgt-in_binary64`
107×	`associate-/r/_binary64`
106×	`distribute-lft-in_binary64`
82×	`distribute-neg-frac_binary64`
80×	`distribute-rgt-neg-in_binary64`
76×	`unsub-neg_binary64`
59×	`distribute-lft-neg-in_binary64`
48×	`associate-r_binary64`
46×	`neg-mul-1_binary64`
44×	`associate-/l/_binary64`
37×	`distribute-rgt-neg-out_binary64`
36×	`distribute-frac-neg_binary64`
34×	`neg-sub0_binary64` `associate-*l/_binary64`
26×	`associate-r/_binary64` `associate-l*_binary64` `associate--r-_binary64` `+-commutative_binary64`
25×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
23×	`associate-+l-_binary64`
21×	`*-commutative_binary64`
18×	`associate-+r-_binary64`
16×	`mul0-rgt_binary64` `div0_binary64`
13×	`sub0-neg_binary64`
10×	`remove-double-neg_binary64` `distribute-neg-in_binary64`
9×	`/-rgt-identity_binary64`
8×	`*-lft-identity_binary64` `mul0-lft_binary64` `associate-+r+_binary64`
7×	`*-rgt-identity_binary64`
5×	`distribute-neg-out_binary64` `associate--l-_binary64`
4×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `associate-+l+_binary64`
3×	`--rgt-identity_binary64`
2×	`*-inverses_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `remove-double-div_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_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` `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` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac_binary64`
323×	`div-sub_binary64`
147×	`sub-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
139×	`associate-/l*_binary64`
107×	`associate-/r*_binary64`
98×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`
87×	`unsub-neg_binary64`
69×	`associate-/r/_binary64`
50×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
49×	`associate-/l/_binary64`
34×	`distribute-frac-neg_binary64`
32×	`neg-mul-1_binary64` `associate-l_binary64`
30×	`distribute-lft-neg-out_binary64`
28×	`associate-*l/_binary64`
26×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
23×	`neg-sub0_binary64`
20×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
16×	`mul0-rgt_binary64` `associate--r+_binary64` `*-commutative_binary64`
15×	`associate-+l-_binary64`
12×	`div0_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
11×	`sub0-neg_binary64`
9×	`associate--r-_binary64` `associate--l-_binary64`
8×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
7×	`remove-double-neg_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
6×	`*-rgt-identity_binary64`
5×	`distribute-neg-out_binary64`
4×	`--rgt-identity_binary64`
3×	`+-rgt-identity_binary64` `associate-+l+_binary64`
2×	`mul-1-neg_binary64` `*-inverses_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `remove-double-div_binary64` `distribute-lft1-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-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` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite59.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 567 to 133 computations (76.5% saved)

series138.0ms (3.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

125.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 428 to 378 computations (11.7% saved)

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

506×	`cancel-sign-sub-inv_binary64`
409×	`distribute-rgt-in_binary64`
328×	`div-sub_binary64`
177×	`distribute-rgt-neg-in_binary64`
170×	`distribute-lft-neg-in_binary64`
161×	`associate-/l*_binary64`
160×	`distribute-neg-frac_binary64`
155×	`times-frac_binary64`
136×	`associate-/r*_binary64`
130×	`associate-l_binary64`
122×	`unswap-sqr_binary64`
121×	`distribute-rgt-out_binary64`
117×	`sub-neg_binary64`
112×	`distribute-lft-in_binary64`
109×	`associate-r_binary64`
105×	`associate-*l/_binary64`
81×	`*-commutative_binary64`
74×	`associate-*r/_binary64`
73×	`distribute-rgt-neg-out_binary64`
72×	`neg-sub0_binary64` `distribute-lft-out_binary64`
71×	`unsub-neg_binary64`
67×	`associate-+l+_binary64`
63×	`neg-mul-1_binary64`
61×	`distribute-neg-in_binary64`
60×	`+-commutative_binary64`
58×	`distribute-lft-neg-out_binary64`
54×	`associate-/l/_binary64`
52×	`associate-+r+_binary64`
48×	`associate-/r/_binary64`
33×	`cube-prod_binary64`
28×	`sqr-pow_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
24×	`associate-+l-_binary64`
23×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
22×	`distribute-frac-neg_binary64` `associate-+r-_binary64`
20×	`difference-of-squares_binary64`
15×	`unpow3_binary64` `cube-unmult_binary64`
13×	`*-rgt-identity_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
12×	`cube-div_binary64` `distribute-rgt1-in_binary64`
11×	`log-prod_binary64`
10×	`sqr-neg_binary64` `/-rgt-identity_binary64`
8×	`associate--l+_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64`
5×	`cube-neg_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
4×	`*-lft-identity_binary64`
3×	`log-div_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `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` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `count-2_binary64`

Counts

69 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1317
1	263	1225
2	757	1162
3	2450	1147
4	4680	1147
5	5135	1147

prune17.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

0.0b

Counts

35 → 4

Compiler

Compiled 221 to 107 computations (51.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
0.1b	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
0.2b	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

rewrite191.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

104×	`*-un-lft-identity_binary64`
94×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
61×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
41×	`associate-r_binary64`
15×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
14×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 167

Calls

4 calls:

26.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
3.0ms	(sqrt.f64 (+.f64 f n))
3.0ms	(sqrt.f64 (+.f64 f n))

Compiler

Compiled 2842 to 462 computations (83.7% saved)

series339.0ms (8.4%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

115.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
88.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
58.0ms	(sqrt.f64 (+.f64 f n))
55.0ms	(sqrt.f64 (+.f64 f n))

Compiler

Compiled 1532 to 1163 computations (24.1% saved)

simplify262.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

541×	`associate-/l*_binary64`
470×	`div-sub_binary64`
426×	`times-frac_binary64`
371×	`associate-l_binary64`
282×	`associate-*l/_binary64`
244×	`associate-/l/_binary64`
230×	`associate-/r*_binary64`
225×	`associate-*r/_binary64`
127×	`distribute-rgt-in_binary64`
104×	`associate-/r/_binary64`
99×	`neg-sub0_binary64`
98×	`distribute-lft-in_binary64`
94×	`associate-r_binary64`
90×	`*-commutative_binary64`
89×	`neg-mul-1_binary64`
83×	`cube-div_binary64`
77×	`log-div_binary64` `sub-neg_binary64`
72×	`cube-prod_binary64` `*-lft-identity_binary64`
67×	`log-prod_binary64`
66×	`distribute-rgt-neg-in_binary64`
65×	`remove-double-div_binary64`
63×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
55×	`cancel-sign-sub-inv_binary64`
50×	`unsub-neg_binary64`
48×	`sqr-pow_binary64`
42×	`/-rgt-identity_binary64`
40×	`+-commutative_binary64`
34×	`exp-prod_binary64`
28×	`unpow3_binary64`
27×	`unswap-sqr_binary64`
26×	`distribute-neg-in_binary64`
25×	`distribute-neg-frac_binary64`
22×	`cube-mult_binary64`
21×	`log-rec_binary64`
17×	`associate-+r+_binary64`
15×	`associate-+l+_binary64`
14×	`difference-of-squares_binary64`
13×	`distribute-rgt-out_binary64`
12×	`cube-unmult_binary64`
10×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
8×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
6×	`distribute-lft-out_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`unpow1/2_binary64` `mul-1-neg_binary64`
3×	`unpow2_binary64` `pow-plus_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`unpow1_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `count-2_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` `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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

217 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	4131
1	467	3800
2	1442	3653
3	4301	3650
4	4575	3650
5	5656	3650

prune77.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Error

0.0b

Counts

139 → 4

Compiler

Compiled 1445 to 395 computations (72.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 2 (/.f64 f n))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 2 (/.f64 f n))

Compiler

Compiled 419 to 246 computations (41.3% saved)

series87.0ms (2.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

86.0ms

(*.f64 2 (/.f64 f n))

Compiler

Compiled 91 to 91 computations (0% saved)

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

873×	`times-frac_binary64`
762×	`distribute-rgt-out_binary64`
407×	`associate-/l*_binary64`
338×	`associate-*l/_binary64`
306×	`*-commutative_binary64`
293×	`associate-+l+_binary64`
280×	`associate-*r/_binary64`
258×	`associate-/l/_binary64`
252×	`+-commutative_binary64`
249×	`associate-+r+_binary64`
243×	`associate-l_binary64`
235×	`unswap-sqr_binary64`
177×	`sqr-pow_binary64`
147×	`associate-r_binary64`
130×	`distribute-rgt-in_binary64`
126×	`associate-/r/_binary64`
120×	`associate-/r*_binary64`
92×	`pow-sqr_binary64`
53×	`count-2_binary64`
51×	`distribute-rgt1-in_binary64`
45×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
43×	`distribute-lft1-in_binary64`
37×	`distribute-lft-in_binary64`
26×	`cube-prod_binary64`
24×	`associate--r+_binary64`
20×	`unsub-neg_binary64`
18×	`neg-mul-1_binary64` `associate--r-_binary64`
17×	`unpow3_binary64` `associate--l+_binary64`
15×	`*-lft-identity_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
14×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
13×	`neg-sub0_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`cube-mult_binary64` `sub0-neg_binary64`
9×	`swap-sqr_binary64`
8×	`associate-+r-_binary64`
7×	`log-div_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`pow-plus_binary64` `cube-div_binary64` `+-rgt-identity_binary64`
4×	`exp-prod_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
3×	`log-prod_binary64` `unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64`
2×	`unpow1/2_binary64` `--rgt-identity_binary64` `remove-double-div_binary64`
1×	`exp-lft-sqr_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_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` `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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-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-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-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`

Counts

38 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	405
1	154	369
2	388	369
3	847	369
4	1882	369
5	2019	369
6	2502	369
7	3298	369
8	4203	369
9	4479	369
10	4974	369

prune11.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	15	4	19

Error

0.0b

Counts

19 → 4

Compiler

Compiled 136 to 92 computations (32.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
0.2b	(pow.f64 (/.f64 n f) 3)
9.5b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

rewrite262.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
29×	`add-cube-cbrt_binary64`
28×	`times-frac_binary64`
17×	`associate-r_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`cube-div_binary64`
10×	`frac-add_binary64` `associate-*r/_binary64`
9×	`pow1_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`unpow3_binary64` `div-inv_binary64` `pow-unpow_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`distribute-rgt-out_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `cube-mult_binary64` `sqr-pow_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 128

Calls

4 calls:

25.0ms	(.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
24.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
13.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
5.0ms	(pow.f64 (/.f64 n f) 3)

Compiler

Compiled 3413 to 1807 computations (47.1% saved)

series854.0ms (21.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

278.0ms	(.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
220.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
199.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
144.0ms	(pow.f64 (/.f64 n f) 3)

Compiler

Compiled 1404 to 1144 computations (18.5% saved)

simplify141.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

365×	`associate-r_binary64`
341×	`associate-l_binary64`
281×	`log-prod_binary64`
267×	`cancel-sign-sub-inv_binary64`
212×	`distribute-rgt-neg-in_binary64`
151×	`*-commutative_binary64`
144×	`associate-*r/_binary64`
138×	`log-div_binary64`
129×	`associate-*l/_binary64`
128×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
123×	`cube-prod_binary64`
120×	`exp-prod_binary64`
119×	`distribute-lft-in_binary64`
99×	`cube-div_binary64`
86×	`distribute-neg-frac_binary64`
82×	`associate-/l*_binary64`
58×	`swap-sqr_binary64`
48×	`log-pow_binary64`
46×	`+-commutative_binary64`
43×	`unpow3_binary64`
40×	`cube-mult_binary64`
39×	`times-frac_binary64`
38×	`sub-neg_binary64`
34×	`*-rgt-identity_binary64`
31×	`neg-mul-1_binary64` `neg-sub0_binary64`
30×	`associate-/r*_binary64`
28×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
25×	`distribute-lft-neg-out_binary64`
23×	`*-lft-identity_binary64`
22×	`associate-/l/_binary64`
19×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
16×	`exp-sum_binary64`
15×	`rem-sqrt-square_binary64`
14×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
12×	`pow-plus_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
10×	`unsub-neg_binary64`
8×	`distribute-rgt-out_binary64`
6×	`/-rgt-identity_binary64` `difference-of-sqr--1_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64` `associate--r+_binary64`
4×	`difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `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-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` `sqr-abs_binary64` `sqr-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

170 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3497
1	684	3109
2	3046	3072
3	4748	3072
4	5002	3072

prune128.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Error

0.0b

Counts

141 → 4

Compiler

Compiled 2262 to 1246 computations (44.9% saved)

regimes112.0ms (2.8%)

Accuracy

Total 0.0b remaining (66.8%)

Threshold costs 0.0b (66.8%)

Compiler

Compiled 712 to 488 computations (31.5% 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	14
1	11	14
2	16	14
3	18	14
4	19	14
5	19	14

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample525.0ms (13%)

Algorithm

1×

intervals

Results

205.0ms

8000×

body

128

valid

Compiler

Compiled 67 to 57 computations (14.9% saved)

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

Details

analyze478.0ms (11.8%)

sample19.0ms (0.5%)

simplify74.0ms (1.8%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

rewrite59.0ms (1.5%)

series138.0ms (3.4%)

simplify91.0ms (2.3%)

prune17.0ms (0.4%)

localize7.0ms (0.2%)

rewrite191.0ms (4.7%)

series339.0ms (8.4%)

simplify262.0ms (6.5%)

prune77.0ms (1.9%)

localize5.0ms (0.1%)

rewrite39.0ms (1%)

series87.0ms (2.2%)

simplify101.0ms (2.5%)

prune11.0ms (0.3%)

localize10.0ms (0.3%)

rewrite262.0ms (6.5%)

series854.0ms (21.1%)

simplify141.0ms (3.5%)

prune128.0ms (3.2%)

regimes112.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample525.0ms (13%)

Profiling

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10