Details

analyze1.4s (12.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

655×	`div-sub_binary64` `sub-neg_binary64`
605×	`distribute-rgt-in_binary64`
539×	`associate-/l*_binary64`
495×	`neg-mul-1_binary64`
466×	`distribute-rgt-neg-in_binary64`
456×	`neg-sub0_binary64`
426×	`associate-/r*_binary64`
388×	`distribute-neg-frac_binary64`
289×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
277×	`remove-double-neg_binary64`
251×	`cancel-sign-sub-inv_binary64`
242×	`distribute-frac-neg_binary64` `associate-l_binary64`
237×	`associate-r_binary64`
227×	`distribute-lft-neg-in_binary64`
208×	`*-commutative_binary64`
151×	`unsub-neg_binary64`
146×	`cancel-sign-sub_binary64`
128×	`associate-*l/_binary64`
119×	`distribute-neg-in_binary64` `associate--r+_binary64`
115×	`+-commutative_binary64`
112×	`times-frac_binary64`
107×	`associate-*r/_binary64`
94×	`associate-/r/_binary64`
79×	`distribute-lft-in_binary64`
77×	`associate--l-_binary64`
72×	`associate-/l/_binary64`
70×	`sub0-neg_binary64`
65×	`associate-+l-_binary64`
60×	`div0_binary64`
58×	`distribute-rgt-out--_binary64`
51×	`*-lft-identity_binary64`
50×	`associate--r-_binary64`
45×	`/-rgt-identity_binary64`
37×	`distribute-lft-out_binary64`
29×	`*-rgt-identity_binary64`
28×	`associate-+r-_binary64`
27×	`+-rgt-identity_binary64` `associate-+r+_binary64`
23×	`distribute-neg-out_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`distribute-rgt-out_binary64`
15×	`--rgt-identity_binary64`
13×	`associate--l+_binary64`
10×	`associate-+l+_binary64`
7×	`distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64` `swap-sqr_binary64`
3×	`sqr-neg_binary64` `remove-double-div_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` `+-lft-identity_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	97	104
2	268	104
3	634	96
4	998	96
5	1695	96
6	3585	96
7	4103	96
8	3917	96
9	3960	96
10	4011	96
11	4065	96
12	4496	96
13	4413	96
14	4472	96
15	4499	96
16	4514	96
17	4517	96
18	4517	96
19	4810	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)

sample81.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	47×	body	2048	valid
15.0ms	159×	body	128	valid
9.0ms	15×	body	4096	valid
7.0ms	19×	body	1024	valid
2.0ms	7×	body	512	valid
2.0ms	9×	body	256	valid
1.0ms	16×	body	128	nan
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify629.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1319×	`div-sub_binary64`
932×	`unsub-neg_binary64`
843×	`associate-/l*_binary64`
678×	`distribute-rgt-in_binary64`
643×	`distribute-lft-in_binary64`
485×	`associate-/l/_binary64`
481×	`associate-/r/_binary64`
474×	`sub-neg_binary64`
459×	`cancel-sign-sub-inv_binary64`
405×	`times-frac_binary64`
321×	`distribute-rgt-neg-in_binary64`
316×	`neg-mul-1_binary64`
286×	`neg-sub0_binary64`
273×	`distribute-lft-neg-in_binary64`
261×	`*-commutative_binary64`
254×	`distribute-neg-frac_binary64`
228×	`associate-/r*_binary64`
200×	`distribute-neg-in_binary64`
198×	`associate-*l/_binary64`
136×	`mul0-rgt_binary64`
134×	`mul0-lft_binary64`
122×	`+-lft-identity_binary64` `associate--r+_binary64`
115×	`distribute-rgt-neg-out_binary64`
102×	`+-commutative_binary64`
96×	`distribute-rgt-out_binary64`
88×	`+-rgt-identity_binary64`
80×	`remove-double-neg_binary64`
77×	`distribute-frac-neg_binary64`
75×	`distribute-lft-neg-out_binary64`
74×	`div0_binary64`
72×	`distribute-rgt-out--_binary64` `associate--r-_binary64`
58×	`associate-*r/_binary64`
54×	`cancel-sign-sub_binary64`
48×	`associate-l_binary64` `associate-r_binary64`
39×	`distribute-neg-out_binary64`
38×	`associate--l-_binary64`
36×	`/-rgt-identity_binary64`
23×	`*-lft-identity_binary64`
22×	`remove-double-div_binary64`
20×	`associate--l+_binary64`
19×	`sub0-neg_binary64`
18×	`mul-1-neg_binary64`
16×	`associate-+l-_binary64`
9×	`*-rgt-identity_binary64`
8×	`--rgt-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
6×	`distribute-lft-out_binary64`
4×	`associate-+l+_binary64`
2×	`swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `*-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	37	26
2	93	26
3	213	24
4	320	24
5	522	24
6	913	24
7	995	24
8	1154	24
9	1806	24
10	2663	24
11	2356	24
12	2303	24
13	2372	24
14	2398	24
15	2585	24
16	3881	24
17	3563	24
18	3397	24
19	3505	24
20	3509	24
21	3623	24
22	3691	24
23	3691	24
24	2163	24
25	2363	24
26	2081	24
27	2083	24
28	2083	24
29	2083	24
30	1834	24

prune10.0ms (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

34.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.3b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite348.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/l*_binary64`
3×	`sqrt-prod_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 72

Calls

4 calls:

16.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
12.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
8.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 1903 to 971 computations (49% saved)

series468.0ms (4.2%)

Error

6.3b

Counts

4 → 75

Calls

4 calls:

124.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
101.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
98.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
79.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2788 to 2238 computations (19.7% saved)

simplify196.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

784×	`times-frac_binary64`
376×	`associate-/l*_binary64`
336×	`associate-/r*_binary64`
214×	`cancel-sign-sub-inv_binary64`
166×	`neg-mul-1_binary64`
149×	`distribute-rgt-neg-in_binary64`
137×	`distribute-lft-neg-in_binary64`
131×	`associate-*l/_binary64`
124×	`associate-*r/_binary64`
116×	`distribute-rgt-in_binary64`
103×	`distribute-lft-in_binary64`
71×	`exp-prod_binary64`
70×	`sub-neg_binary64`
66×	`associate-/r/_binary64`
63×	`associate-/l/_binary64`
62×	`associate-r_binary64`
61×	`div-sub_binary64` `*-commutative_binary64`
59×	`distribute-neg-frac_binary64`
55×	`associate-l_binary64`
51×	`unswap-sqr_binary64`
44×	`cube-prod_binary64` `+-commutative_binary64`
41×	`sqr-pow_binary64`
39×	`neg-sub0_binary64`
30×	`distribute-rgt-out_binary64`
19×	`distribute-lft-neg-out_binary64`
18×	`associate--l+_binary64`
16×	`exp-sum_binary64`
14×	`unpow3_binary64` `distribute-neg-in_binary64`
13×	`associate-+l+_binary64`
11×	`cube-mult_binary64` `unsub-neg_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`exp-diff_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
8×	`cube-unmult_binary64` `associate--r+_binary64`
7×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
6×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
5×	`log-div_binary64` `log-prod_binary64` `cube-div_binary64`
4×	`unpow2_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `associate-+r-_binary64`
2×	`log-pow_binary64` `rem-square-sqrt_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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-3cbrt-lft_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

147 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	3182
1	433	3008
2	1256	2990
3	4629	2990
4	4963	2990

prune59.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	11	84

Error

9.2b

Counts

84 → 11

Compiler

Compiled 1233 to 727 computations (41% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.9b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
10.3b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite268.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

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

Counts

4 → 136

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
12.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4703 to 2367 computations (49.7% saved)

series332.0ms (3%)

Error

7.7b

Counts

4 → 74

Calls

4 calls:

101.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
89.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
53.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
53.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 3973 to 2972 computations (25.2% saved)

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

314×	`cancel-sign-sub-inv_binary64`
268×	`distribute-rgt-neg-in_binary64`
249×	`associate-/l*_binary64`
246×	`distribute-lft-neg-in_binary64`
244×	`times-frac_binary64`
227×	`div-sub_binary64`
164×	`associate-/l/_binary64`
156×	`associate-/r*_binary64`
149×	`sub-neg_binary64`
142×	`*-commutative_binary64`
136×	`associate-r_binary64`
132×	`distribute-neg-frac_binary64`
101×	`associate-l_binary64`
97×	`cube-prod_binary64`
88×	`log-prod_binary64`
82×	`neg-mul-1_binary64` `neg-sub0_binary64`
79×	`associate-*l/_binary64`
76×	`associate-*r/_binary64`
69×	`exp-prod_binary64`
64×	`unswap-sqr_binary64`
62×	`+-commutative_binary64`
60×	`log-div_binary64`
57×	`associate-/r/_binary64`
52×	`cube-div_binary64`
49×	`distribute-neg-in_binary64`
42×	`sqr-pow_binary64`
40×	`distribute-rgt-in_binary64`
39×	`distribute-lft-neg-out_binary64`
38×	`unpow3_binary64`
33×	`distribute-lft-in_binary64`
30×	`cube-mult_binary64`
28×	`associate--r+_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`unsub-neg_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
23×	`associate--l+_binary64`
22×	`fabs-mul_binary64`
21×	`*-lft-identity_binary64`
19×	`associate-+l+_binary64`
13×	`/-rgt-identity_binary64`
12×	`associate-+r+_binary64`
11×	`exp-sum_binary64` `cube-unmult_binary64` `difference-of-squares_binary64`
9×	`rem-sqrt-square_binary64`
8×	`pow-plus_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64`
6×	`exp-diff_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
5×	`log-pow_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`rem-square-sqrt_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `*-inverses_binary64` `+-inverses_binary64` `pow-sqr_binary64` `distribute-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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

210 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	7106
1	857	6481
2	3158	6338
3	4584	6338
4	5255	6338

prune97.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	143	10	153

Error

7.2b

Counts

153 → 10

Compiler

Compiled 2954 to 1630 computations (44.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.2b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite125.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
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 2534 to 1439 computations (43.2% saved)

series263.0ms (2.4%)

Error

6.2b

Counts

4 → 73

Calls

4 calls:

79.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
53.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
53.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
45.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3385 to 2796 computations (17.4% saved)

simplify175.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

910×	`times-frac_binary64`
493×	`associate-/l*_binary64`
239×	`cancel-sign-sub-inv_binary64`
178×	`distribute-rgt-neg-in_binary64`
159×	`distribute-lft-neg-in_binary64`
116×	`exp-prod_binary64`
114×	`associate-/r/_binary64`
107×	`sub-neg_binary64`
98×	`distribute-rgt-in_binary64`
93×	`associate-/l/_binary64`
80×	`distribute-lft-in_binary64`
77×	`distribute-neg-frac_binary64`
68×	`*-commutative_binary64`
66×	`associate-r_binary64`
65×	`neg-sub0_binary64`
64×	`neg-mul-1_binary64`
60×	`unswap-sqr_binary64`
54×	`associate-l_binary64`
48×	`sqr-pow_binary64` `+-commutative_binary64`
37×	`associate-/r*_binary64`
32×	`distribute-neg-in_binary64` `associate-*l/_binary64`
31×	`distribute-rgt-out_binary64` `associate-*r/_binary64`
29×	`log-prod_binary64`
24×	`distribute-lft-neg-out_binary64`
20×	`associate--r+_binary64`
18×	`cube-prod_binary64`
17×	`unpow3_binary64` `unsub-neg_binary64`
15×	`div-sub_binary64`
13×	`exp-diff_binary64`
12×	`*-rgt-identity_binary64` `associate--l+_binary64`
11×	`difference-of-squares_binary64` `swap-sqr_binary64`
10×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
8×	`pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
6×	`log-div_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
5×	`log-pow_binary64` `unpow2_binary64` `cube-unmult_binary64` `associate-+r-_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
3×	`cube-div_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64`
2×	`div-exp_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `distribute-rgt1-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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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-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` `sqr-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

161 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3793
1	508	3610
2	1474	3581
3	4843	3581
4	4998	3581
5	4931	3581

prune63.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Error

6.2b

Counts

108 → 7

Compiler

Compiled 1513 to 949 computations (37.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.4b	(cbrt.f64 (/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite135.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

12×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
8×	`cbrt-prod_binary64`
7×	`pow1_binary64`
6×	`sqrt-div_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `times-frac_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64` `div-inv_binary64` `associate-*r/_binary64` `associate-/r/_binary64`

Counts

4 → 62

Calls

4 calls:

10.0ms	(cbrt.f64 (/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4273 to 2577 computations (39.7% saved)

series590.0ms (5.3%)

Error

6.2b

Counts

4 → 69

Calls

4 calls:

251.0ms	(cbrt.f64 (/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))))
75.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
75.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
74.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 10054 to 7121 computations (29.2% saved)

simplify236.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-l_binary64`
491×	`times-frac_binary64`
256×	`associate-/r*_binary64`
243×	`associate-/l*_binary64`
165×	`cancel-sign-sub-inv_binary64`
137×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
110×	`exp-sum_binary64`
100×	`div-sub_binary64`
91×	`associate-r_binary64`
72×	`sqr-pow_binary64`
71×	`*-commutative_binary64`
66×	`sub-neg_binary64`
63×	`associate-*r/_binary64`
61×	`associate-*l/_binary64`
52×	`exp-prod_binary64`
50×	`distribute-rgt-in_binary64` `associate-/r/_binary64`
47×	`distribute-lft-in_binary64`
42×	`neg-sub0_binary64`
41×	`exp-diff_binary64`
40×	`neg-mul-1_binary64`
39×	`unswap-sqr_binary64`
34×	`distribute-neg-frac_binary64`
32×	`cube-prod_binary64` `+-commutative_binary64`
24×	`distribute-rgt-out_binary64`
19×	`exp-neg_binary64` `cube-unmult_binary64` `distribute-lft-neg-out_binary64`
17×	`unsub-neg_binary64` `swap-sqr_binary64`
15×	`log-prod_binary64` `unpow1/3_binary64`
14×	`rem-exp-log_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
13×	`log-div_binary64` `unpow3_binary64`
11×	`associate--l+_binary64`
10×	`cube-mult_binary64` `distribute-frac-neg_binary64`
9×	`associate-+l+_binary64`
8×	`pow-plus_binary64` `exp-to-pow_binary64`
7×	`rem-sqrt-square_binary64` `distribute-neg-in_binary64`
6×	`log-pow_binary64` `pow-sqr_binary64` `associate-/l/_binary64`
5×	`*-lft-identity_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sqr-neg_binary64` `associate-+l-_binary64`
3×	`log-rec_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
2×	`cube-div_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `associate--r+_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

131 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2896
1	458	2833
2	1262	2797
3	4652	2767
4	5011	2767

prune194.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	73	8	81

Error

6.2b

Counts

81 → 8

Compiler

Compiled 3836 to 2378 computations (38% saved)

regimes3.5s (31.3%)

Accuracy

Total 1.4b remaining (19.4%)

Threshold costs 0b (0%)

Compiler

Compiled 15678 to 11704 computations (25.3% saved)

bsearch94.0ms (0.8%)

Steps

Iters	Range	Point
8	2.5539626903496947e+73	1.1188338929936931e+76	5.243928485852795e+74
8	1.0920342004990774e-279	1.3308902001200856e-276	1.0559784740032639e-278
9	-2.9345402272261306e+91	-5.584804392867247e+85	-5.730935129370623e+90

Iters

Range

Point

2.5539626903496947e+73

1.1188338929936931e+76

5.243928485852795e+74

1.0920342004990774e-279

1.3308902001200856e-276

1.0559784740032639e-278

-2.9345402272261306e+91

-5.584804392867247e+85

-5.730935129370623e+90

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
25×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`
23×	`sub-neg_binary64` `+-commutative_binary64`
22×	`cancel-sign-sub-inv_binary64`
18×	`distribute-rgt-neg-in_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`distribute-neg-out_binary64`
9×	`unsub-neg_binary64`
3×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
2×	`distribute-frac-neg_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-neg-frac_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	100
1	75	98
2	93	98
3	128	98
4	161	98
5	190	98
6	220	98
7	235	98
8	238	98
9	239	98
10	232	98

end2.0ms (0%)

Compiler: Compiled 66 to 45 computations (31.8% saved)

sample1.5s (13.9%)

Algorithm

1×

intervals

Results

269.0ms	1089×	body	2048	valid
265.0ms	5277×	body	128	valid
145.0ms	733×	body	1024	valid
117.0ms	367×	body	4096	valid
55.0ms	360×	body	512	valid
33.0ms	635×	body	128	nan
24.0ms	374×	body	128	invalid
17.0ms	174×	body	256	valid

Compiler

Compiled 332 to 262 computations (21.1% saved)

Iter	Nodes	Cost
0	44	100
1	75	98
2	93	98
3	128	98
4	161	98
5	190	98
6	220	98
7	235	98
8	238	98
9	239	98
10	232	98

Iter	Nodes	Cost
0	44	100
1	75	98
2	93	98
3	128	98
4	161	98
5	190	98
6	220	98
7	235	98
8	238	98
9	239	98
10	232	98

Details

analyze1.4s (12.9%)

sample81.0ms (0.7%)

simplify629.0ms (5.7%)

prune10.0ms (0.1%)

localize21.0ms (0.2%)

rewrite348.0ms (3.1%)

series468.0ms (4.2%)

simplify196.0ms (1.8%)

prune59.0ms (0.5%)

localize12.0ms (0.1%)

rewrite268.0ms (2.4%)

series332.0ms (3%)

simplify220.0ms (2%)

prune97.0ms (0.9%)

localize13.0ms (0.1%)

rewrite125.0ms (1.1%)

series263.0ms (2.4%)

simplify175.0ms (1.6%)

prune63.0ms (0.6%)

localize26.0ms (0.2%)

rewrite135.0ms (1.2%)

series590.0ms (5.3%)

simplify236.0ms (2.1%)

prune194.0ms (1.7%)

regimes3.5s (31.3%)

bsearch94.0ms (0.8%)

simplify14.0ms (0.1%)

end2.0ms (0%)

sample1.5s (13.9%)

Profiling

Iter	Nodes	Cost
0	44	100
1	75	98
2	93	98
3	128	98
4	161	98
5	190	98
6	220	98
7	235	98
8	238	98
9	239	98
10	232	98