Details

analyze596.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64`
690×	`sub-neg_binary64`
580×	`neg-mul-1_binary64`
490×	`neg-sub0_binary64`
476×	`associate-/r*_binary64`
402×	`distribute-neg-frac_binary64`
320×	`distribute-rgt-neg-in_binary64`
280×	`distribute-rgt-neg-out_binary64`
254×	`distribute-lft-neg-in_binary64`
248×	`distribute-lft-neg-out_binary64`
231×	`+-commutative_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
217×	`associate-*l/_binary64`
200×	`associate-+l-_binary64`
198×	`remove-double-neg_binary64`
189×	`distribute-rgt-in_binary64`
185×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
140×	`unsub-neg_binary64`
131×	`associate-/l/_binary64`
119×	`associate-*r/_binary64`
117×	`associate--r+_binary64`
100×	`distribute-lft-in_binary64`
93×	`distribute-frac-neg_binary64`
88×	`sub0-neg_binary64`
76×	`cancel-sign-sub_binary64`
72×	`*-lft-identity_binary64`
71×	`associate--l-_binary64`
68×	`distribute-neg-in_binary64`
65×	`*-commutative_binary64`
61×	`+-lft-identity_binary64`
57×	`associate--r-_binary64`
54×	`/-rgt-identity_binary64`
53×	`+-rgt-identity_binary64`
48×	`associate-r_binary64`
40×	`associate-+r-_binary64` `associate-+l+_binary64`
36×	`div0_binary64`
34×	`associate-l_binary64`
24×	`--rgt-identity_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
17×	`associate-+r+_binary64`
6×	`*-rgt-identity_binary64`
3×	`sqr-neg_binary64` `swap-sqr_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	82	96
2	160	96
3	321	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	168×	body	128	valid
7.0ms	32×	body	2048	valid
4.0ms	14×	body	4096	valid
4.0ms	19×	body	1024	valid
1.0ms	10×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	15×	body	128	nan
1.0ms	15×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify332.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-/l*_binary64`
1150×	`div-sub_binary64`
630×	`distribute-rgt-in_binary64`
619×	`times-frac_binary64`
588×	`associate-/r*_binary64`
554×	`distribute-lft-in_binary64`
519×	`unsub-neg_binary64`
479×	`associate-/r/_binary64`
457×	`cancel-sign-sub-inv_binary64`
434×	`sub-neg_binary64`
393×	`*-commutative_binary64`
381×	`associate-/l/_binary64`
225×	`distribute-rgt-neg-in_binary64`
224×	`associate-*l/_binary64`
212×	`distribute-rgt-out--_binary64`
198×	`distribute-lft-neg-in_binary64`
184×	`distribute-neg-frac_binary64`
179×	`neg-mul-1_binary64`
156×	`distribute-rgt-out_binary64`
141×	`neg-sub0_binary64`
121×	`associate--r+_binary64`
120×	`distribute-rgt-neg-out_binary64`
101×	`associate--r-_binary64` `+-commutative_binary64`
98×	`associate-*r/_binary64`
87×	`distribute-lft-neg-out_binary64`
86×	`mul0-rgt_binary64`
80×	`mul0-lft_binary64`
69×	`distribute-frac-neg_binary64`
68×	`distribute-neg-out_binary64`
64×	`distribute-lft-out_binary64`
62×	`div0_binary64`
61×	`associate--l-_binary64`
60×	`*-lft-identity_binary64`
57×	`associate-r_binary64`
51×	`associate-l_binary64`
48×	`distribute-lft-out--_binary64`
30×	`+-lft-identity_binary64` `distribute-neg-in_binary64`
28×	`associate--l+_binary64`
27×	`remove-double-neg_binary64`
26×	`/-rgt-identity_binary64`
24×	`associate-+r-_binary64`
19×	`sub0-neg_binary64` `--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
16×	`mul-1-neg_binary64`
14×	`remove-double-div_binary64` `associate-+l+_binary64`
13×	`associate-+l-_binary64`
7×	`associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
1×	`1-exp_binary64` `swap-sqr_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	24
2	62	24
3	121	24
4	172	24
5	282	24
6	460	24
7	748	24
8	1084	24
9	1128	24
10	1799	24
11	2594	24
12	2001	24
13	2089	24
14	2153	24
15	2179	24
16	2431	24
17	2909	24
18	2913	24
19	2991	24
20	3053	24
21	3065	24
22	3035	24
23	3211	24
24	3211	24
25	2043	24
26	2195	24
27	2097	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune6.0ms (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

33.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite161.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

33.1b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`sqrt-prod_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-lft-out--_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 1900 to 985 computations (48.2% saved)

series221.0ms (2.3%)

Error

6.9b

Counts

4 → 68

Calls

4 calls:

58.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
44.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
42.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2445 to 1973 computations (19.3% saved)

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l*_binary64`
496×	`associate-/r*_binary64`
351×	`div-sub_binary64`
188×	`cancel-sign-sub-inv_binary64`
185×	`distribute-rgt-in_binary64`
177×	`distribute-lft-in_binary64`
167×	`distribute-rgt-neg-in_binary64`
149×	`distribute-lft-neg-in_binary64`
109×	`sub-neg_binary64`
99×	`associate-/l/_binary64`
98×	`exp-prod_binary64`
92×	`associate-r_binary64`
91×	`*-commutative_binary64`
89×	`associate-/r/_binary64`
87×	`associate-l_binary64`
78×	`times-frac_binary64`
61×	`distribute-neg-frac_binary64`
59×	`neg-sub0_binary64`
56×	`neg-mul-1_binary64`
48×	`+-commutative_binary64`
47×	`unswap-sqr_binary64`
43×	`cube-prod_binary64`
41×	`sqr-pow_binary64`
35×	`distribute-rgt-out_binary64`
28×	`associate-*l/_binary64`
27×	`distribute-lft-neg-out_binary64` `associate-*r/_binary64`
22×	`exp-sum_binary64`
17×	`unpow3_binary64` `distribute-neg-in_binary64`
16×	`unsub-neg_binary64` `associate--l+_binary64` `associate--r+_binary64`
15×	`exp-diff_binary64` `swap-sqr_binary64`
14×	`distribute-rgt-neg-out_binary64`
13×	`cube-mult_binary64`
10×	`distribute-lft-out_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
9×	`cube-unmult_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`log-div_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64`
6×	`cube-div_binary64` `mul-1-neg_binary64`
5×	`associate-+r+_binary64`
4×	`log-prod_binary64` `unpow2_binary64` `exp-sqrt_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rem-square-sqrt_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `sqr-neg_binary64` `distribute-rgt-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_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` `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` `rec-exp_binary64` `exp-neg_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

142 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3075
1	536	2840
2	1652	2834
3	4748	2834
4	5617	2834

prune59.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Error

6.8b

Counts

91 → 10

Compiler

Compiled 1283 to 749 computations (41.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite121.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

28×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
4×	`difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

17.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
7.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2199 to 1153 computations (47.6% saved)

series213.0ms (2.3%)

Error

6.8b

Counts

4 → 68

Calls

4 calls:

57.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
48.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
43.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
42.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2445 to 1973 computations (19.3% saved)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-/l*_binary64`
295×	`distribute-rgt-in_binary64`
285×	`distribute-lft-in_binary64`
177×	`cancel-sign-sub-inv_binary64`
156×	`div-sub_binary64` `distribute-rgt-neg-in_binary64`
141×	`distribute-lft-neg-in_binary64`
120×	`associate-r_binary64`
119×	`associate-l_binary64`
114×	`*-commutative_binary64`
100×	`sub-neg_binary64`
98×	`associate-/r/_binary64`
95×	`exp-prod_binary64`
66×	`associate-/l/_binary64`
62×	`associate-*r/_binary64`
58×	`distribute-neg-frac_binary64`
51×	`times-frac_binary64`
50×	`neg-sub0_binary64` `+-commutative_binary64`
47×	`neg-mul-1_binary64` `sqr-pow_binary64`
45×	`unswap-sqr_binary64`
41×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
37×	`cube-prod_binary64`
35×	`associate-/r*_binary64`
31×	`exp-sum_binary64` `distribute-rgt-out_binary64`
30×	`distribute-rgt-neg-out_binary64`
19×	`log-prod_binary64` `*-rgt-identity_binary64`
18×	`unpow3_binary64` `*-lft-identity_binary64`
16×	`associate--l+_binary64`
15×	`unsub-neg_binary64` `swap-sqr_binary64`
14×	`cube-mult_binary64`
13×	`log-div_binary64` `cube-div_binary64` `associate--r+_binary64`
12×	`exp-diff_binary64` `distribute-neg-in_binary64`
11×	`associate-+r-_binary64` `associate-+l+_binary64`
9×	`cube-unmult_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`pow-plus_binary64`
6×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
5×	`/-rgt-identity_binary64` `pow-sqr_binary64` `associate-+r+_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `sqr-neg_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
3×	`unpow1_binary64` `exp-neg_binary64` `rem-square-sqrt_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `div-exp_binary64` `fabs-mul_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

151 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3317
1	567	3086
2	1876	3080
3	4783	3080
4	5212	3080

prune56.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	88	11	99

Error

6.8b

Counts

99 → 11

Compiler

Compiled 1235 to 730 computations (40.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)) (/.f64 1 a))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite123.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `associate-r_binary64`
12×	`prod-exp_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`cbrt-unprod_binary64`
5×	`flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`
4×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `un-div-inv_binary64` `associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

17.0ms	(.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)) (/.f64 1 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2431 to 1361 computations (44% saved)

series218.0ms (2.3%)

Error

6.8b

Counts

4 → 68

Calls

4 calls:

60.0ms	(.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)) (/.f64 1 a))
47.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
45.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
42.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2635 to 2163 computations (17.9% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/l*_binary64`
335×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`
184×	`associate-l_binary64`
177×	`cancel-sign-sub-inv_binary64`
169×	`associate-r_binary64`
156×	`distribute-rgt-neg-in_binary64`
141×	`distribute-lft-neg-in_binary64`
140×	`*-commutative_binary64`
100×	`associate-/r/_binary64`
99×	`sub-neg_binary64`
71×	`associate-*r/_binary64`
60×	`associate-/l/_binary64`
58×	`distribute-neg-frac_binary64`
56×	`exp-prod_binary64`
55×	`times-frac_binary64`
54×	`+-commutative_binary64`
51×	`sqr-pow_binary64`
50×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
46×	`unswap-sqr_binary64`
37×	`associate-*l/_binary64`
35×	`associate-/r*_binary64`
31×	`distribute-rgt-out_binary64`
30×	`div-sub_binary64`
28×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
25×	`swap-sqr_binary64`
22×	`*-rgt-identity_binary64`
21×	`associate-+l+_binary64`
19×	`unsub-neg_binary64` `associate-+r-_binary64`
17×	`distribute-rgt-neg-out_binary64` `associate--l+_binary64`
14×	`log-prod_binary64`
13×	`+-rgt-identity_binary64` `associate--r+_binary64`
12×	`distribute-neg-in_binary64` `associate-+r+_binary64`
11×	`*-lft-identity_binary64`
9×	`difference-of-squares_binary64`
8×	`unpow3_binary64` `exp-sum_binary64` `cube-mult_binary64`
7×	`log-div_binary64` `cube-unmult_binary64`
6×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`exp-diff_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `cube-div_binary64` `distribute-lft-out--_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64`
2×	`log-rec_binary64` `div-exp_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

154 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3422
1	606	3090
2	1975	3084
3	5209	3084

prune59.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Error

6.8b

Counts

118 → 11

Compiler

Compiled 1512 to 899 computations (40.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite419.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

693×	`times-frac_binary64`
439×	`add-sqr-sqrt_binary64`
364×	`*-un-lft-identity_binary64`
290×	`add-cube-cbrt_binary64`
74×	`difference-of-squares_binary64`
71×	`associate-/r*_binary64`
40×	`sqrt-prod_binary64`
37×	`distribute-lft-out--_binary64`
25×	`add-exp-log_binary64`
17×	`div-inv_binary64`
15×	`div-exp_binary64`
13×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 356

Calls

4 calls:

23.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 11057 to 6512 computations (41.1% saved)

series214.0ms (2.3%)

Error

6.8b

Counts

4 → 68

Calls

4 calls:

58.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
47.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
45.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2635 to 2163 computations (17.9% saved)

simplify558.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-/r/_binary64`
326×	`associate-*l/_binary64`
324×	`*-commutative_binary64`
279×	`associate-/l/_binary64`
267×	`associate-*r/_binary64`
208×	`associate-/r*_binary64`
198×	`associate-/l*_binary64`
185×	`cancel-sign-sub-inv_binary64`
156×	`associate-r_binary64`
122×	`sub-neg_binary64`
119×	`times-frac_binary64`
102×	`exp-prod_binary64`
94×	`associate-l_binary64`
76×	`*-rgt-identity_binary64`
66×	`neg-mul-1_binary64` `neg-sub0_binary64`
61×	`unswap-sqr_binary64`
57×	`div-sub_binary64`
53×	`+-commutative_binary64`
45×	`sqr-pow_binary64`
37×	`distribute-rgt-in_binary64`
35×	`distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
31×	`distribute-lft-neg-in_binary64`
26×	`log-div_binary64` `log-prod_binary64` `cube-prod_binary64`
25×	`exp-sum_binary64` `*-lft-identity_binary64` `remove-double-div_binary64`
22×	`unpow3_binary64` `cube-div_binary64`
20×	`unsub-neg_binary64`
19×	`/-rgt-identity_binary64` `swap-sqr_binary64`
18×	`associate--r+_binary64`
17×	`cube-mult_binary64`
16×	`associate--l+_binary64`
15×	`associate-+r-_binary64`
14×	`associate-+r+_binary64`
13×	`exp-diff_binary64`
11×	`pow-plus_binary64` `distribute-neg-in_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64` `associate-+l+_binary64`
9×	`difference-of-squares_binary64`
8×	`distribute-neg-frac_binary64`
7×	`log-rec_binary64`
6×	`mul-1-neg_binary64`
5×	`rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
4×	`unpow2_binary64` `exp-sqrt_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`div-exp_binary64` `+-lft-identity_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `div0_binary64` `*-inverses_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `prod-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

424 → 362

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	18185
1	1251	17334
2	4377	17141
3	4861	17141
4	4982	17141
5	4952	17141

prune194.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	360	2	362
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	362	11	373

Error

6.8b

Counts

373 → 11

Compiler

Compiled 6160 to 3449 computations (44% saved)

regimes3.1s (33.2%)

Accuracy

Total 5.7b remaining (49.8%)

Threshold costs 0b (0%)

Compiler

Compiled 17258 to 13388 computations (22.4% saved)

bsearch110.0ms (1.2%)

Steps

Iters	Range		Point
6	1.527219785210175e-13	1.4310932546887941e-12	6.768351271797052e-13
9	7.595561925742305e-54	2.142288296944621e-48	3.800189758670082e-51
8	6.584149591134545e-143	3.5633909502639164e-140	3.526112956294902e-140
8	-3.3556932922204505e+121	-9.037729822885773e+117	-4.730052107843551e+118

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`not-or` `if-if-or-not_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
1×	`not-not` `if-not_binary64`
0×	`not-true` `not-false` `not-and` `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_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	90
1	53	68
2	73	68
3	92	66
4	100	66
5	104	66
6	105	66
7	104	66

end1.0ms (0%)

Compiler: Compiled 44 to 30 computations (31.8% saved)

sample2.2s (23.3%)

Algorithm

1×

intervals

Results

385.0ms	5230×	body	128	valid
374.0ms	1061×	body	2048	valid
207.0ms	738×	body	1024	valid
178.0ms	415×	body	4096	valid
81.0ms	360×	body	512	valid
46.0ms	663×	body	128	nan
27.0ms	196×	body	256	valid
24.0ms	347×	body	128	invalid

Compiler

Compiled 300 to 234 computations (22% saved)

Details

analyze596.0ms (6.3%)

sample38.0ms (0.4%)

simplify332.0ms (3.5%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite161.0ms (1.7%)

series221.0ms (2.3%)

simplify123.0ms (1.3%)

prune59.0ms (0.6%)

localize11.0ms (0.1%)

rewrite121.0ms (1.3%)

series213.0ms (2.3%)

simplify126.0ms (1.3%)

prune56.0ms (0.6%)

localize12.0ms (0.1%)

rewrite123.0ms (1.3%)

series218.0ms (2.3%)

simplify99.0ms (1.1%)

prune59.0ms (0.6%)

localize12.0ms (0.1%)

rewrite419.0ms (4.4%)

series214.0ms (2.3%)

simplify558.0ms (5.9%)

prune194.0ms (2.1%)

regimes3.1s (33.2%)

bsearch110.0ms (1.2%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample2.2s (23.3%)

Profiling