Details

analyze2.2s (29.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

584×	`exp-prod_binary64`
582×	`exp-sum_binary64`
397×	`sub-neg_binary64`
308×	`exp-diff_binary64`
164×	`distribute-rgt-in_binary64`
152×	`times-frac_binary64`
144×	`distribute-lft-in_binary64`
130×	`neg-mul-1_binary64`
128×	`unsub-neg_binary64`
117×	`neg-sub0_binary64`
108×	`*-commutative_binary64`
107×	`+-commutative_binary64`
102×	`associate-+r-_binary64`
85×	`associate-r_binary64`
80×	`associate-+l-_binary64`
76×	`associate-l_binary64`
66×	`distribute-neg-in_binary64`
61×	`associate--r+_binary64`
53×	`associate-+l+_binary64`
44×	`associate-+r+_binary64`
41×	`associate-/l_binary64` `associate-l/_binary64`
40×	`associate-/r/_binary64`
37×	`sqr-pow_binary64`
33×	`associate--r-_binary64`
32×	`associate--l-_binary64` `associate--l+_binary64`
31×	`cancel-sign-sub-inv_binary64`
30×	`associate-*r/_binary64`
27×	`exp-neg_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`exp-sqrt_binary64`
22×	`distribute-neg-out_binary64` `associate-/r*_binary64`
21×	`div-exp_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
11×	`prod-exp_binary64` `associate-/l/_binary64`
10×	`unpow2_binary64`
9×	`unpow3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
8×	`remove-double-neg_binary64`
5×	`sqr-neg_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	397	495
2	925	473
3	3020	473
4	4898	473
5	5136	473
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample47.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	251×	body	128	valid
3.0ms	6×	body	1024	invalid
1.0ms	5×	body	512	invalid
1.0ms	3×	body	512	valid
1.0ms	2×	body	1024	valid
1.0ms	8×	body	128	invalid
1.0ms	1×	body	2048	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

604×	`exp-prod_binary64`
534×	`exp-sum_binary64`
375×	`associate-l_binary64`
303×	`associate-r_binary64`
251×	`times-frac_binary64`
229×	`cancel-sign-sub-inv_binary64`
204×	`distribute-rgt-in_binary64`
182×	`associate-/l*_binary64`
169×	`exp-diff_binary64`
164×	`distribute-lft-in_binary64`
112×	`associate-/r_binary64` `associate-l/_binary64`
99×	`sub-neg_binary64`
92×	`distribute-neg-in_binary64`
87×	`unsub-neg_binary64`
86×	`associate-*r/_binary64`
74×	`associate--r-_binary64`
70×	`associate--l-_binary64`
68×	`distribute-rgt-neg-in_binary64`
60×	`exp-sqrt_binary64`
54×	`distribute-lft-neg-in_binary64` `associate-/l/_binary64`
52×	`associate-+l+_binary64`
48×	`sqr-pow_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`associate-/r/_binary64`
43×	`div-exp_binary64`
42×	`distribute-lft-neg-out_binary64`
41×	`prod-exp_binary64`
40×	`neg-mul-1_binary64`
39×	`neg-sub0_binary64`
38×	`associate--r+_binary64`
35×	`associate-+r+_binary64`
34×	`*-commutative_binary64`
31×	`exp-neg_binary64`
30×	`associate--l+_binary64`
24×	`+-commutative_binary64`
23×	`unswap-sqr_binary64`
22×	`distribute-rgt-out_binary64`
21×	`distribute-neg-out_binary64`
20×	`associate-+l-_binary64`
19×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
17×	`div-sub_binary64`
15×	`distribute-neg-frac_binary64`
13×	`rec-exp_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64`
10×	`+-rgt-identity_binary64`
7×	`*-lft-identity_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
6×	`/-rgt-identity_binary64` `distribute-frac-neg_binary64`
5×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`*-rgt-identity_binary64`
2×	`cube-unmult_binary64` `sqr-neg_binary64`
1×	`cos-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `mul-1-neg_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	56	45
2	121	43
3	355	43
4	1127	43
5	4019	43
6	5097	43

prune4.0ms (0.1%)

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

19.0b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(*.f64 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
34.4b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite373.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

18.9b

Rules

19×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`cancel-sign-sub-inv_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`cos-sum_binary64` `associate-r_binary64`
3×	`difference-of-squares_binary64` `pow-unpow_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `distribute-lft-out--_binary64` `associate-*r/_binary64`
1×	`cos-diff_binary64` `times-frac_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 72

Calls

4 calls:

10.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
8.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
6.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2464 to 1205 computations (51.1% saved)

series296.0ms (4%)

Error

1.2b

Counts

4 → 77

Calls

4 calls:

84.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
64.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
57.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
36.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 5196 to 3812 computations (26.6% saved)

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

358×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`
323×	`sub-neg_binary64`
322×	`*-commutative_binary64`
241×	`unsub-neg_binary64`
212×	`associate-+l+_binary64`
167×	`+-commutative_binary64`
152×	`associate--l+_binary64`
146×	`cancel-sign-sub-inv_binary64`
145×	`times-frac_binary64`
138×	`neg-mul-1_binary64`
136×	`neg-sub0_binary64`
134×	`associate-l_binary64`
128×	`associate-+r+_binary64`
127×	`associate-r_binary64`
85×	`exp-prod_binary64` `associate--r+_binary64`
83×	`distribute-rgt-neg-in_binary64`
80×	`sqr-pow_binary64`
72×	`distribute-lft-neg-in_binary64`
71×	`unswap-sqr_binary64`
67×	`associate-/l*_binary64`
65×	`associate-*l/_binary64`
59×	`associate-*r/_binary64`
52×	`associate-+l-_binary64`
48×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
46×	`exp-sum_binary64`
45×	`associate-+r-_binary64`
36×	`distribute-neg-in_binary64`
34×	`cube-prod_binary64`
33×	`log-prod_binary64`
31×	`distribute-rgt-out_binary64`
26×	`rem-sqrt-square_binary64`
20×	`cube-div_binary64`
18×	`*-lft-identity_binary64` `distribute-lft-out_binary64`
17×	`associate-/r/_binary64`
16×	`unpow1/2_binary64` `*-rgt-identity_binary64` `cancel-sign-sub_binary64`
15×	`unpow3_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64`
13×	`log-pow_binary64`
12×	`swap-sqr_binary64`
10×	`+-rgt-identity_binary64` `associate-/l/_binary64`
9×	`exp-diff_binary64` `cube-mult_binary64` `associate-/r*_binary64`
8×	`pow-sqr_binary64` `distribute-neg-out_binary64`
6×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
5×	`exp-sqrt_binary64`
3×	`cos-neg_binary64` `sin-neg_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
2×	`exp-neg_binary64` `sqr-neg_binary64` `div-sub_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `remove-double-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` `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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

149 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	2581
1	577	2363
2	1541	2274
3	4103	2271
4	5150	2271

prune104.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Error

1.1b

Counts

123 → 5

Compiler

Compiled 2324 to 1142 computations (50.9% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite95.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64`
5×	`add-cube-cbrt_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64`
2×	`add-cbrt-cube_binary64` `diff-log_binary64` `distribute-lft-out_binary64`
1×	`times-frac_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--r+_binary64`

Counts

2 → 41

Calls

2 calls:

18.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
10.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 1151 to 595 computations (48.3% saved)

series288.0ms (3.9%)

Error

1.1b

Counts

2 → 60

Calls

2 calls:

154.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
80.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 3297 to 2478 computations (24.8% saved)

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

646×	`associate--r+_binary64`
376×	`associate--l+_binary64`
304×	`distribute-rgt-in_binary64`
262×	`distribute-lft-in_binary64`
254×	`associate-l_binary64`
250×	`associate-r_binary64`
249×	`sub-neg_binary64`
237×	`cancel-sign-sub-inv_binary64`
135×	`distribute-neg-in_binary64`
100×	`+-commutative_binary64`
92×	`exp-prod_binary64`
79×	`associate-+l+_binary64`
71×	`associate-+r+_binary64`
60×	`sqr-pow_binary64`
50×	`exp-sum_binary64` `unsub-neg_binary64`
46×	`neg-mul-1_binary64` `neg-sub0_binary64`
45×	`distribute-rgt-neg-in_binary64`
38×	`log-prod_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`cube-prod_binary64`
32×	`unswap-sqr_binary64`
30×	`associate--l-_binary64`
28×	`*-commutative_binary64`
25×	`cube-unmult_binary64`
24×	`pow-plus_binary64`
21×	`distribute-lft-out_binary64`
20×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
19×	`distribute-rgt-out_binary64`
14×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
12×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
11×	`log-pow_binary64`
7×	`pow-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-*r/_binary64`
5×	`unpow3_binary64` `swap-sqr_binary64`
4×	`rem-sqrt-square_binary64`
3×	`exp-sqrt_binary64` `div-exp_binary64` `cube-mult_binary64` `associate-/l/_binary64` `associate-*l/_binary64`
2×	`exp-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

101 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	2867
1	468	2595
2	1310	2466
3	4637	2463
4	4969	2463

prune86.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Error

1.1b

Counts

99 → 5

Compiler

Compiled 1424 to 701 computations (50.8% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 n m))
0.6b	(cbrt.f64 (+.f64 n m))
0.6b	(cbrt.f64 (+.f64 m n))
34.4b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (cbrt.f64 (+.f64 n m)))) (cbrt.f64 (+.f64 m n))) 2) M))

rewrite156.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

14×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`cos-sum_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`cos-diff_binary64` `sub-neg_binary64`

Counts

4 → 54

Calls

4 calls:

19.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (cbrt.f64 (+.f64 n m)))) (cbrt.f64 (+.f64 m n))) 2) M))
3.0ms	(cbrt.f64 (+.f64 n m))
3.0ms	(cbrt.f64 (+.f64 n m))
3.0ms	(cbrt.f64 (+.f64 m n))

Compiler

Compiled 2531 to 956 computations (62.2% saved)

series162.0ms (2.2%)

Error

1.1b

Counts

4 → 32

Calls

4 calls:

60.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (cbrt.f64 (+.f64 n m)))) (cbrt.f64 (+.f64 m n))) 2) M))
26.0ms	(cbrt.f64 (+.f64 n m))
25.0ms	(cbrt.f64 (+.f64 m n))
24.0ms	(cbrt.f64 (+.f64 n m))

Compiler

Compiled 3496 to 2509 computations (28.2% saved)

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

420×	`distribute-rgt-neg-in_binary64`
402×	`distribute-lft-neg-in_binary64`
389×	`neg-mul-1_binary64`
330×	`associate-l_binary64`
311×	`associate-r_binary64`
238×	`distribute-rgt-out_binary64`
192×	`sub-neg_binary64`
169×	`unsub-neg_binary64`
161×	`*-commutative_binary64`
153×	`distribute-lft-out_binary64`
132×	`distribute-neg-in_binary64`
126×	`unswap-sqr_binary64`
118×	`neg-sub0_binary64`
105×	`cancel-sign-sub_binary64`
104×	`distribute-lft-neg-out_binary64`
102×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
66×	`associate-+l+_binary64` `+-commutative_binary64`
62×	`associate--r+_binary64`
48×	`exp-sum_binary64` `distribute-rgt-in_binary64`
47×	`sqr-pow_binary64`
43×	`associate-+r+_binary64`
35×	`exp-prod_binary64`
33×	`remove-double-neg_binary64` `distribute-lft-in_binary64`
29×	`distribute-rgt-out--_binary64`
26×	`div-sub_binary64`
25×	`exp-diff_binary64`
20×	`log-prod_binary64` `distribute-neg-out_binary64`
19×	`associate-+l-_binary64`
17×	`cube-unmult_binary64` `associate-+r-_binary64`
16×	`associate-/l*_binary64`
14×	`cube-prod_binary64` `sub0-neg_binary64` `difference-of-squares_binary64`
11×	`unpow3_binary64` `+-rgt-identity_binary64`
10×	`log-div_binary64`
8×	`log-pow_binary64` `exp-to-pow_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
7×	`cos-neg_binary64` `unpow1/3_binary64` `pow-plus_binary64` `rem-exp-log_binary64`
6×	`exp-neg_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l+_binary64`
4×	`log-rec_binary64` `prod-exp_binary64` `+-lft-identity_binary64`
3×	`sin-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `associate-/l/_binary64` `associate--l-_binary64`
2×	`cube-mult_binary64` `*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-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` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

86 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1207
1	315	1143
2	705	1123
3	2307	1105
4	4654	1105
5	5021	1105

prune56.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	55	5	60

Error

1.1b

Counts

60 → 5

Compiler

Compiled 1312 to 596 computations (54.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

19.6b	(cbrt.f64 (*.f64 K (+.f64 n m)))
19.6b	(cbrt.f64 (*.f64 K (+.f64 n m)))
19.6b	(cbrt.f64 (*.f64 K (+.f64 n m)))
34.4b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 n m))) (cbrt.f64 (.f64 K (+.f64 n m)))) (cbrt.f64 (*.f64 K (+.f64 n m)))) 2) M))

rewrite111.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

6×	`associate-*r/_binary64` `cbrt-div_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`cos-sum_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `cbrt-prod_binary64`
1×	`cos-diff_binary64` `sub-neg_binary64`

Counts

4 → 45

Calls

4 calls:

11.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 n m))) (cbrt.f64 (.f64 K (+.f64 n m)))) (cbrt.f64 (*.f64 K (+.f64 n m)))) 2) M))
4.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))
4.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))
4.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))

Compiler

Compiled 2484 to 808 computations (67.5% saved)

series296.0ms (4%)

Error

1.1b

Counts

4 → 45

Calls

4 calls:

68.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 n m))) (cbrt.f64 (.f64 K (+.f64 n m)))) (cbrt.f64 (*.f64 K (+.f64 n m)))) 2) M))
61.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))
54.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))
54.0ms	(cbrt.f64 (*.f64 K (+.f64 n m)))

Compiler

Compiled 6075 to 3980 computations (34.5% saved)

simplify145.0ms (2%)

Algorithm

1×	egg-herbie

Rules

398×	`associate-l_binary64`
376×	`associate-r_binary64`
263×	`unsub-neg_binary64`
254×	`times-frac_binary64`
249×	`sub-neg_binary64`
234×	`unswap-sqr_binary64`
213×	`*-commutative_binary64`
199×	`exp-sum_binary64`
172×	`div-sub_binary64`
150×	`neg-sub0_binary64`
146×	`exp-diff_binary64`
134×	`neg-mul-1_binary64`
124×	`cancel-sign-sub-inv_binary64`
108×	`exp-prod_binary64`
100×	`distribute-rgt-neg-in_binary64`
93×	`distribute-lft-neg-in_binary64`
91×	`+-commutative_binary64`
80×	`sqr-pow_binary64`
77×	`associate--r+_binary64`
73×	`associate-+l+_binary64`
71×	`distribute-rgt-in_binary64`
61×	`associate-+r+_binary64`
56×	`log-prod_binary64`
54×	`log-pow_binary64` `distribute-lft-in_binary64`
51×	`distribute-neg-in_binary64`
48×	`distribute-rgt-neg-out_binary64`
45×	`distribute-lft-neg-out_binary64` `associate-/l*_binary64` `associate-+r-_binary64`
44×	`remove-double-neg_binary64`
35×	`log-div_binary64`
34×	`distribute-rgt-out_binary64`
33×	`prod-exp_binary64`
27×	`associate-/r*_binary64`
25×	`associate-+l-_binary64`
23×	`exp-to-pow_binary64` `associate--r-_binary64`
20×	`distribute-lft-out_binary64` `associate-/r/_binary64`
19×	`cube-prod_binary64`
18×	`unpow1/3_binary64`
17×	`cube-unmult_binary64` `+-rgt-identity_binary64`
16×	`rem-exp-log_binary64` `cancel-sign-sub_binary64`
15×	`sub0-neg_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
14×	`exp-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
12×	`unpow3_binary64`
9×	`cos-neg_binary64` `associate-*l/_binary64`
8×	`rem-sqrt-square_binary64` `associate--l-_binary64`
7×	`log-rec_binary64` `pow-plus_binary64`
6×	`div-exp_binary64` `associate-*r/_binary64`
5×	`sqr-neg_binary64`
4×	`cube-div_binary64` `--rgt-identity_binary64`
3×	`sin-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
2×	`cube-neg_binary64` `rem-3cbrt-lft_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

90 → 61

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	1617
1	431	1519
2	1002	1457
3	3266	1313
4	4545	1310
5	4995	1310
6	4905	1310

prune48.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	62	4	66

Error

1.1b

Counts

66 → 4

Compiler

Compiled 1251 to 541 computations (56.8% saved)

regimes804.0ms (10.9%)

Accuracy

Total 3.2b remaining (73.7%)

Threshold costs 0b (0%)

Compiler

Compiled 13526 to 10575 computations (21.8% saved)

bsearch23.0ms (0.3%)

Steps

Iters	Range		Point
12	1.0	#hash((type . real) (value . NaN))	#hash((type . real) (value . NaN))

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
13×	`sub-neg_binary64`
9×	`*-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`distribute-neg-in_binary64`
3×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	96
1	42	96
2	62	96
3	84	92
4	100	92
5	104	92
6	100	92

end2.0ms (0%)

Compiler: Compiled 60 to 38 computations (36.7% saved)

sample1.6s (21.6%)

Algorithm

1×

intervals

Results

798.0ms	7825×	body	128	valid
35.0ms	87×	body	1024	invalid
33.0ms	327×	body	128	invalid
31.0ms	106×	body	512	invalid
27.0ms	63×	body	1024	valid
24.0ms	76×	body	512	valid
12.0ms	21×	body	2048	invalid
12.0ms	59×	body	256	invalid
7.0ms	34×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 221 to 180 computations (18.6% saved)

Details

analyze2.2s (29.9%)

sample47.0ms (0.6%)

simplify50.0ms (0.7%)

prune4.0ms (0.1%)

localize25.0ms (0.3%)

rewrite373.0ms (5.1%)

series296.0ms (4%)

simplify112.0ms (1.5%)

prune104.0ms (1.4%)

localize14.0ms (0.2%)

rewrite95.0ms (1.3%)

series288.0ms (3.9%)

simplify112.0ms (1.5%)

prune86.0ms (1.2%)

localize26.0ms (0.3%)

rewrite156.0ms (2.1%)

series162.0ms (2.2%)

simplify107.0ms (1.5%)

prune56.0ms (0.8%)

localize28.0ms (0.4%)

rewrite111.0ms (1.5%)

series296.0ms (4%)

simplify145.0ms (2%)

prune48.0ms (0.7%)

regimes804.0ms (10.9%)

bsearch23.0ms (0.3%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample1.6s (21.6%)

Profiling