Details

analyze643.0ms (10.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

786×	`div-sub_binary64`
707×	`sub-neg_binary64`
532×	`associate-/l*_binary64`
324×	`neg-mul-1_binary64`
302×	`neg-sub0_binary64`
297×	`unsub-neg_binary64`
296×	`cancel-sign-sub-inv_binary64`
275×	`distribute-neg-frac_binary64`
257×	`distribute-rgt-neg-in_binary64`
253×	`distribute-rgt-in_binary64`
243×	`associate-r_binary64`
217×	`associate-/r*_binary64`
215×	`+-commutative_binary64`
207×	`associate-+l-_binary64`
200×	`distribute-neg-out_binary64`
198×	`distribute-frac-neg_binary64`
184×	`distribute-lft-in_binary64`
182×	`distribute-lft-neg-in_binary64`
181×	`distribute-rgt-neg-out_binary64`
172×	`associate-+r-_binary64`
164×	`distribute-lft-neg-out_binary64`
150×	`distribute-lft-out_binary64` `associate--l-_binary64`
130×	`associate-l_binary64`
99×	`*-commutative_binary64`
90×	`distribute-neg-in_binary64`
83×	`associate-/r/_binary64`
59×	`div0_binary64`
57×	`*-lft-identity_binary64`
56×	`mul0-rgt_binary64` `mul0-lft_binary64`
51×	`associate--r+_binary64`
38×	`+-lft-identity_binary64`
33×	`associate--r-_binary64`
32×	`*-rgt-identity_binary64`
27×	`/-rgt-identity_binary64` `sub0-neg_binary64`
26×	`remove-double-neg_binary64` `associate-/l/_binary64`
15×	`distribute-rgt-out_binary64`
12×	`+-rgt-identity_binary64` `associate-+r+_binary64`
11×	`associate-+l+_binary64`
10×	`distribute-rgt-out--_binary64`
8×	`swap-sqr_binary64`
6×	`associate--l+_binary64`
5×	`--rgt-identity_binary64`
4×	`sqr-neg_binary64` `cancel-sign-sub_binary64`
2×	`distribute-lft-out--_binary64`
1×	`1-exp_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	154
1	88	154
2	180	154
3	300	154
4	678	154
5	972	154
6	1315	154
7	2910	154
8	2831	154
9	3257	154
10	3679	154
11	3933	154
12	4983	154
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
766×	`div-sub_binary64`
654×	`unswap-sqr_binary64`
570×	`unsub-neg_binary64`
551×	`cancel-sign-sub-inv_binary64`
484×	`sub-neg_binary64`
402×	`distribute-rgt-neg-in_binary64`
391×	`associate-/r/_binary64`
335×	`distribute-rgt-in_binary64`
299×	`distribute-lft-in_binary64`
279×	`associate-/l*_binary64`
268×	`neg-sub0_binary64`
241×	`neg-mul-1_binary64` `distribute-frac-neg_binary64`
217×	`distribute-lft-neg-in_binary64`
211×	`distribute-neg-frac_binary64`
187×	`+-commutative_binary64`
168×	`associate-+l-_binary64`
152×	`associate-/r*_binary64`
118×	`distribute-rgt-out--_binary64`
73×	`distribute-lft-neg-out_binary64`
70×	`distribute-rgt-neg-out_binary64`
60×	`swap-sqr_binary64`
53×	`*-commutative_binary64`
52×	`mul0-rgt_binary64`
51×	`mul0-lft_binary64` `associate-r_binary64`
45×	`associate--l-_binary64`
39×	`distribute-neg-in_binary64`
37×	`remove-double-neg_binary64`
34×	`associate-l_binary64`
25×	`--rgt-identity_binary64` `associate--r+_binary64`
24×	`div0_binary64`
22×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
19×	`associate--r-_binary64`
18×	`distribute-rgt-out_binary64`
17×	`+-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`associate-/l/_binary64` `associate-+r-_binary64`
11×	`sub0-neg_binary64` `cancel-sign-sub_binary64`
9×	`*-rgt-identity_binary64`
7×	`mul-1-neg_binary64` `associate-+l+_binary64`
6×	`sqr-neg_binary64` `distribute-neg-out_binary64`
4×	`*-inverses_binary64`
3×	`+-rgt-identity_binary64` `associate-+r+_binary64`
2×	`remove-double-div_binary64` `associate-*l/_binary64`
1×	`1-exp_binary64` `associate-*r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	23	22
2	43	22
3	69	22
4	132	22
5	186	22
6	246	22
7	385	22
8	533	22
9	650	22
10	697	22
11	2043	22
12	3598	22
13	3068	22
14	3257	22
15	3443	22
16	3848	22
17	5230	22

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

29.4b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.1b	(-.f64 (.f64 b c) (.f64 a d))
28.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite76.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1226 to 166 computations (86.5% saved)

series131.0ms (2.1%)

Error

5.4b

Counts

2 → 48

Calls

2 calls:

77.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
40.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1218 to 955 computations (21.6% saved)

simplify144.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

415×	`associate-l_binary64`
345×	`associate-r_binary64`
260×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64`
236×	`div-sub_binary64`
213×	`distribute-rgt-in_binary64`
211×	`distribute-lft-in_binary64`
195×	`associate-*l/_binary64`
152×	`associate-/l*_binary64`
139×	`associate-*r/_binary64`
133×	`*-commutative_binary64`
99×	`sub-neg_binary64`
98×	`associate-/l/_binary64`
87×	`associate-/r*_binary64`
82×	`exp-prod_binary64`
77×	`cube-prod_binary64`
73×	`sqr-pow_binary64`
68×	`times-frac_binary64`
66×	`neg-sub0_binary64`
62×	`associate-/r/_binary64`
61×	`distribute-rgt-neg-in_binary64`
56×	`neg-mul-1_binary64`
55×	`unpow3_binary64`
54×	`exp-sum_binary64`
50×	`distribute-lft-neg-in_binary64`
48×	`unsub-neg_binary64`
43×	`difference-of-squares_binary64`
37×	`associate-+r+_binary64`
35×	`associate-+l+_binary64`
32×	`exp-diff_binary64`
30×	`distribute-neg-frac_binary64`
29×	`cube-div_binary64` `+-commutative_binary64`
27×	`swap-sqr_binary64`
24×	`pow-plus_binary64`
22×	`cube-mult_binary64`
21×	`cube-unmult_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
13×	`*-rgt-identity_binary64`
12×	`pow-sqr_binary64` `associate-+r-_binary64`
11×	`+-rgt-identity_binary64` `associate-+l-_binary64`
10×	`/-rgt-identity_binary64` `sub0-neg_binary64`
8×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
7×	`mul-1-neg_binary64` `div0_binary64`
6×	`distribute-neg-in_binary64`
4×	`associate--r+_binary64`
3×	`log-div_binary64` `remove-double-neg_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l+_binary64`

Counts

92 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1916
1	304	1787
2	950	1785
3	3348	1785
4	4791	1785
5	4984	1785
6	4930	1785

prune43.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	6	85

Error

6.2b

Counts

85 → 6

Compiler

Compiled 1136 to 221 computations (80.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

23×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`sqrt-prod_binary64` `times-frac_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64` `associate-/r*_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 2998 to 346 computations (88.5% saved)

series289.0ms (4.8%)

Error

6.1b

Counts

4 → 98

Calls

4 calls:

110.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
44.0ms	(-.f64 (.f64 c b) (.f64 d a))
43.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
43.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 4818 to 2965 computations (38.5% saved)

simplify161.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64`
491×	`associate-/l*_binary64`
323×	`associate-/r*_binary64`
230×	`cancel-sign-sub-inv_binary64`
190×	`div-sub_binary64`
158×	`distribute-rgt-neg-in_binary64`
143×	`distribute-lft-neg-in_binary64`
133×	`associate-/r/_binary64`
114×	`associate-/l/_binary64`
106×	`sub-neg_binary64`
101×	`distribute-neg-frac_binary64`
100×	`distribute-rgt-in_binary64`
89×	`associate-r_binary64`
85×	`distribute-lft-in_binary64` `associate-l_binary64`
73×	`*-commutative_binary64`
61×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`
54×	`unswap-sqr_binary64`
49×	`+-commutative_binary64`
43×	`sqr-pow_binary64`
42×	`exp-prod_binary64`
26×	`cube-prod_binary64`
25×	`associate-*l/_binary64`
24×	`associate-*r/_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`associate--l+_binary64`
21×	`cube-div_binary64` `distribute-rgt-out_binary64`
17×	`unsub-neg_binary64` `associate--r+_binary64`
16×	`unpow3_binary64`
13×	`distribute-neg-in_binary64` `associate-+l+_binary64`
12×	`cube-mult_binary64`
11×	`cube-unmult_binary64`
10×	`exp-sum_binary64` `difference-of-squares_binary64`
9×	`distribute-lft-out_binary64`
8×	`exp-diff_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`pow-plus_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
4×	`log-div_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `swap-sqr_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
3×	`+-rgt-identity_binary64` `pow-sqr_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l-_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

184 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	4176
1	520	3920
2	1654	3908
3	4774	3908
4	5120	3908

prune61.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	118	7	125

Error

6.1b

Counts

125 → 7

Compiler

Compiled 2135 to 522 computations (75.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.1b	(+.f64 (.f64 b c) (neg.f64 (.f64 d a)))
28.9b	(/.f64 (+.f64 (.f64 b c) (neg.f64 (.f64 d a))) (+.f64 (.f64 c c) (.f64 d d)))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `unsub-neg_binary64` `div-sub_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `sum-log_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `neg-log_binary64` `+-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (.f64 b c) (neg.f64 (.f64 d a))) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 b c) (neg.f64 (.f64 d a)))

Compiler

Compiled 1361 to 178 computations (86.9% saved)

series131.0ms (2.2%)

Error

6.1b

Counts

2 → 48

Calls

2 calls:

81.0ms	(/.f64 (+.f64 (.f64 b c) (neg.f64 (.f64 d a))) (+.f64 (.f64 c c) (.f64 d d)))
42.0ms	(+.f64 (.f64 b c) (neg.f64 (.f64 d a)))

Compiler

Compiled 1218 to 955 computations (21.6% saved)

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Rules

526×	`sub-neg_binary64`
524×	`div-sub_binary64`
323×	`distribute-rgt-in_binary64`
292×	`distribute-lft-in_binary64`
269×	`unsub-neg_binary64`
241×	`*-commutative_binary64`
195×	`unswap-sqr_binary64`
186×	`associate-/l*_binary64`
168×	`neg-sub0_binary64`
165×	`neg-mul-1_binary64`
124×	`cancel-sign-sub-inv_binary64`
94×	`times-frac_binary64`
83×	`sqr-pow_binary64`
75×	`associate-r_binary64`
74×	`associate-l_binary64`
72×	`associate-/r*_binary64`
71×	`exp-prod_binary64`
69×	`distribute-rgt-neg-out_binary64`
63×	`exp-diff_binary64` `cube-prod_binary64`
59×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
55×	`distribute-rgt-neg-in_binary64`
52×	`distribute-lft-neg-in_binary64` `associate-+r+_binary64`
48×	`associate-*r/_binary64`
47×	`associate-/l/_binary64`
41×	`associate-+l+_binary64`
39×	`remove-double-neg_binary64`
34×	`associate-/r/_binary64`
32×	`difference-of-squares_binary64`
31×	`distribute-rgt-out_binary64`
30×	`exp-sum_binary64`
29×	`mul0-rgt_binary64` `mul0-lft_binary64`
25×	`unpow3_binary64` `cube-div_binary64`
24×	`associate-+l-_binary64`
23×	`+-commutative_binary64`
20×	`associate--r+_binary64`
19×	`cube-mult_binary64`
18×	`/-rgt-identity_binary64`
16×	`div0_binary64`
15×	`cube-neg_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
14×	`distribute-lft-out_binary64`
13×	`+-rgt-identity_binary64`
12×	`swap-sqr_binary64` `distribute-frac-neg_binary64`
10×	`pow-plus_binary64` `sqr-neg_binary64`
9×	`cube-unmult_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
8×	`distribute-neg-frac_binary64` `associate--r-_binary64`
7×	`*-rgt-identity_binary64` `associate--l-_binary64`
5×	`log-prod_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `distribute-neg-out_binary64`
4×	`log-div_binary64` `distribute-lft-out--_binary64`
3×	`unpow1/2_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

95 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	2050
1	297	1829
2	1005	1821
3	3014	1821
4	4350	1821
5	5092	1821

prune26.0ms (0.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Error

6.1b

Counts

92 → 7

Compiler

Compiled 1105 to 206 computations (81.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

17.5b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
17.5b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
17.5b	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))
19.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))

rewrite130.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

60×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
27×	`cbrt-prod_binary64`
24×	`associate-/r*_binary64`
22×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64`
3×	`div-inv_binary64` `pow1/3_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 115

Calls

4 calls:

22.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))
3.0ms	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))
3.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
3.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))

Compiler

Compiled 5979 to 522 computations (91.3% saved)

series438.0ms (7.2%)

Error

5.4b

Counts

4 → 87

Calls

4 calls:

98.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
96.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
94.0ms	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))
94.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))

Compiler

Compiled 8801 to 5234 computations (40.5% saved)

simplify257.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-/r/_binary64`
189×	`distribute-rgt-neg-in_binary64`
187×	`distribute-lft-neg-in_binary64`
183×	`associate-/l*_binary64`
170×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`
162×	`associate-/l/_binary64`
154×	`*-commutative_binary64`
150×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
145×	`associate-l_binary64`
138×	`associate-*l/_binary64`
124×	`times-frac_binary64`
111×	`distribute-neg-frac_binary64`
98×	`exp-prod_binary64` `sub-neg_binary64`
86×	`associate-*r/_binary64`
81×	`associate-/r*_binary64`
66×	`neg-sub0_binary64`
65×	`sqr-pow_binary64` `unswap-sqr_binary64`
59×	`exp-diff_binary64`
56×	`neg-mul-1_binary64`
41×	`*-rgt-identity_binary64`
40×	`exp-sum_binary64` `div-sub_binary64`
38×	`log-prod_binary64` `+-commutative_binary64`
30×	`log-div_binary64`
19×	`unsub-neg_binary64`
18×	`distribute-rgt-out_binary64`
17×	`unpow3_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`distribute-neg-out_binary64` `distribute-neg-in_binary64`
12×	`distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
11×	`*-lft-identity_binary64`
10×	`unpow1/3_binary64` `cube-prod_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `associate--r-_binary64`
9×	`cube-mult_binary64` `swap-sqr_binary64`
7×	`log-pow_binary64`
6×	`log-rec_binary64` `exp-to-pow_binary64` `cube-div_binary64`
5×	`pow-plus_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64`
4×	`difference-of-squares_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
2×	`rem-3cbrt-lft_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `rem-cube-cbrt_binary64` `div0_binary64` `count-2_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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

202 → 182

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	8301
1	827	7197
2	2642	7131
3	4831	7059
4	4985	7059

prune322.0ms (5.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Error

6.1b

Counts

189 → 7

Compiler

Compiled 6488 to 927 computations (85.7% saved)

regimes1.8s (30.3%)

Accuracy

Total 10.2b remaining (64.7%)

Threshold costs 0b (0%)

Compiler

Compiled 11289 to 6721 computations (40.5% saved)

bsearch57.0ms (0.9%)

Steps

Iters	Range		Point
8	8.785873069764991e+125	1.508008770464485e+130	1.0308942826624653e+129
9	1.396007842535937e-154	1.4983663923054513e-147	1.0364315669180588e-150
10	-3221302575233803.5	-0.007321814987085672	-27.84020768422239

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
1×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `/-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	94
1	48	94
2	65	94
3	74	94
4	80	94
5	81	94
6	80	94

end1.0ms (0%)

Compiler: Compiled 63 to 33 computations (47.6% saved)

sample852.0ms (14%)

Algorithm

1×

intervals

Results

335.0ms	8000×	body	128	valid
18.0ms	475×	body	128	invalid

Compiler

Compiled 246 to 170 computations (30.9% saved)

Details

analyze643.0ms (10.6%)

sample21.0ms (0.3%)

simplify129.0ms (2.1%)

prune1.0ms (0%)

localize10.0ms (0.2%)

rewrite76.0ms (1.3%)

series131.0ms (2.1%)

simplify144.0ms (2.4%)

prune43.0ms (0.7%)

localize12.0ms (0.2%)

rewrite88.0ms (1.5%)

series289.0ms (4.8%)

simplify161.0ms (2.6%)

prune61.0ms (1%)

localize13.0ms (0.2%)

rewrite50.0ms (0.8%)

series131.0ms (2.2%)

simplify122.0ms (2%)

prune26.0ms (0.4%)

localize22.0ms (0.4%)

rewrite130.0ms (2.1%)

series438.0ms (7.2%)

simplify257.0ms (4.2%)

prune322.0ms (5.3%)

regimes1.8s (30.3%)

bsearch57.0ms (0.9%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample852.0ms (14%)

Profiling