Details

analyze648.0ms (9.9%)

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)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify131.0ms (2%)

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

prune2.0ms (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

25.4b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
1.0b	(-.f64 (.f64 b c) (.f64 a d))
24.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite109.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_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` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
3.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1492 to 199 computations (86.7% saved)

series178.0ms (2.7%)

Error

4.5b

Counts

3 → 63

Calls

3 calls:

89.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
41.0ms	(-.f64 (.f64 b c) (.f64 a d))
25.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 1630 to 1274 computations (21.8% saved)

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Rules

889×	`div-sub_binary64`
464×	`associate-l_binary64`
385×	`associate-r_binary64`
210×	`distribute-rgt-in_binary64`
202×	`associate-*l/_binary64`
195×	`distribute-lft-in_binary64`
185×	`associate-/l*_binary64`
149×	`*-commutative_binary64`
144×	`associate-*r/_binary64`
137×	`sub-neg_binary64`
119×	`cancel-sign-sub-inv_binary64`
115×	`associate-/r*_binary64`
111×	`times-frac_binary64`
102×	`exp-prod_binary64` `associate-/l/_binary64`
89×	`neg-sub0_binary64`
85×	`distribute-rgt-neg-in_binary64`
84×	`sqr-pow_binary64`
78×	`cube-prod_binary64` `neg-mul-1_binary64`
71×	`distribute-lft-neg-in_binary64`
68×	`associate-/r/_binary64`
66×	`difference-of-squares_binary64`
59×	`unswap-sqr_binary64`
57×	`unsub-neg_binary64`
40×	`+-commutative_binary64`
37×	`distribute-neg-frac_binary64`
35×	`unpow3_binary64`
32×	`exp-diff_binary64` `associate-+l+_binary64`
29×	`cube-div_binary64`
28×	`exp-sum_binary64` `associate-+r+_binary64`
27×	`distribute-rgt-out_binary64`
25×	`cube-mult_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`associate-+r-_binary64`
18×	`associate-+l-_binary64`
17×	`+-rgt-identity_binary64`
15×	`pow-plus_binary64` `pow-sqr_binary64`
14×	`*-rgt-identity_binary64` `sub0-neg_binary64`
13×	`cube-unmult_binary64`
11×	`distribute-lft-out_binary64`
10×	`/-rgt-identity_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
7×	`mul-1-neg_binary64` `div0_binary64` `distribute-rgt-out--_binary64`
6×	`cube-neg_binary64` `sqr-neg_binary64` `associate--r+_binary64`
4×	`swap-sqr_binary64`
3×	`log-div_binary64` `remove-double-neg_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-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` `count-2_binary64`

Counts

118 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2292
1	352	2127
2	1096	2125
3	3942	2125
4	4769	2125
5	6156	2125

prune58.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Error

5.2b

Counts

104 → 11

Compiler

Compiled 1403 to 316 computations (77.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 c b) (.f64 d a))
18.2b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite115.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

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)

series306.0ms (4.7%)

Error

5.2b

Counts

4 → 96

Calls

4 calls:

114.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
44.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
44.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 4806 to 2958 computations (38.5% saved)

simplify146.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

516×	`times-frac_binary64`
430×	`associate-/l*_binary64`
290×	`associate-/r*_binary64`
258×	`cancel-sign-sub-inv_binary64`
194×	`div-sub_binary64`
170×	`distribute-rgt-neg-in_binary64`
154×	`distribute-lft-neg-in_binary64`
128×	`associate-/r/_binary64`
124×	`sub-neg_binary64`
117×	`distribute-neg-frac_binary64`
114×	`associate-/l/_binary64`
102×	`distribute-rgt-in_binary64`
85×	`distribute-lft-in_binary64` `associate-l_binary64` `associate-r_binary64`
71×	`*-commutative_binary64`
64×	`neg-sub0_binary64`
60×	`neg-mul-1_binary64`
54×	`unswap-sqr_binary64`
49×	`+-commutative_binary64`
42×	`exp-prod_binary64`
39×	`sqr-pow_binary64`
26×	`cube-prod_binary64`
25×	`associate--l+_binary64` `associate--r+_binary64`
24×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
23×	`associate-*r/_binary64`
21×	`cube-div_binary64` `distribute-rgt-out_binary64`
19×	`unsub-neg_binary64`
16×	`unpow3_binary64`
15×	`distribute-neg-in_binary64`
12×	`cube-mult_binary64`
11×	`cube-unmult_binary64`
10×	`exp-sum_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
9×	`distribute-lft-out_binary64` `associate-+l+_binary64`
8×	`exp-diff_binary64` `*-rgt-identity_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` `pow-sqr_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
3×	`+-rgt-identity_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l-_binary64` `associate-+r+_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` `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

182 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	4105
1	508	3840
2	1632	3816
3	4612	3816
4	4974	3816

prune76.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	115	13	128

Error

5.2b

Counts

128 → 13

Compiler

Compiled 2267 to 574 computations (74.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.0b	(+.f64 (.f64 c c) (.f64 d d))
15.9b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
18.6b	(/.f64 (.f64 d a) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite103.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`times-frac_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

6.0ms	(/.f64 (.f64 d a) (+.f64 (.f64 c c) (*.f64 d d)))
6.0ms	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2252 to 287 computations (87.3% saved)

series174.0ms (2.6%)

Error

5.2b

Counts

4 → 51

Calls

4 calls:

53.0ms	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
47.0ms	(/.f64 (.f64 d a) (+.f64 (.f64 c c) (*.f64 d d)))
27.0ms	(+.f64 (.f64 c c) (.f64 d d))
25.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2253 to 1503 computations (33.3% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

954×	`times-frac_binary64`
408×	`associate-*l/_binary64`
399×	`associate-/l/_binary64`
388×	`associate-/r*_binary64`
272×	`associate-/r/_binary64`
131×	`associate-/l*_binary64`
89×	`cancel-sign-sub-inv_binary64`
87×	`associate-l_binary64`
70×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
65×	`div-sub_binary64` `distribute-lft-neg-in_binary64`
62×	`unswap-sqr_binary64`
54×	`distribute-rgt-in_binary64`
49×	`log-div_binary64`
46×	`sub-neg_binary64`
44×	`*-commutative_binary64`
43×	`associate-*r/_binary64`
41×	`distribute-lft-in_binary64`
39×	`cube-div_binary64`
37×	`log-prod_binary64`
35×	`cube-prod_binary64`
34×	`distribute-neg-frac_binary64`
30×	`sqr-pow_binary64`
22×	`neg-mul-1_binary64` `neg-sub0_binary64`
21×	`unpow3_binary64` `*-rgt-identity_binary64`
19×	`exp-prod_binary64`
18×	`+-commutative_binary64`
14×	`cube-unmult_binary64`
11×	`cube-mult_binary64`
10×	`distribute-rgt-out_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`pow-plus_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
6×	`distribute-lft-neg-out_binary64`
4×	`log-pow_binary64` `log-rec_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
3×	`unsub-neg_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
1×	`prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

119 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2055
1	354	1773
2	1345	1764
3	4771	1755
4	4994	1755

prune41.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	4	7	11
Picked	1	0	1
Done	1	0	1
Total	78	10	88

Error

3.1b

Counts

88 → 10

Compiler

Compiled 1096 to 307 computations (72% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (/.f64 d (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))) a)
15.9b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
29.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite134.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

32×	`add-sqr-sqrt_binary64`
24×	`associate-l_binary64`
23×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`sqrt-div_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
3×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `associate-r*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

11.0ms	(.f64 (/.f64 d (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))) a)
6.0ms	(/.f64 (.f64 c b) (+.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)))

Compiler

Compiled 3957 to 481 computations (87.8% saved)

series259.0ms (3.9%)

Error

2.9b

Counts

4 → 66

Calls

4 calls:

64.0ms	(.f64 (/.f64 d (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))) a)
55.0ms	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
47.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
44.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 4986 to 2598 computations (47.9% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-*l/_binary64`
505×	`associate-/r*_binary64`
424×	`associate-*r/_binary64`
276×	`associate-/l/_binary64`
262×	`associate-/r/_binary64`
142×	`cancel-sign-sub-inv_binary64`
139×	`distribute-rgt-neg-in_binary64`
132×	`distribute-lft-neg-in_binary64`
130×	`associate-/l*_binary64`
115×	`associate-l_binary64`
112×	`times-frac_binary64`
105×	`associate-r_binary64`
99×	`*-commutative_binary64`
92×	`unswap-sqr_binary64`
80×	`distribute-neg-frac_binary64`
71×	`distribute-rgt-in_binary64`
69×	`sub-neg_binary64`
53×	`distribute-lft-in_binary64`
45×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`
34×	`sqr-pow_binary64`
29×	`+-commutative_binary64`
24×	`log-div_binary64`
20×	`log-prod_binary64`
18×	`*-rgt-identity_binary64`
16×	`cube-div_binary64`
14×	`cube-prod_binary64`
13×	`swap-sqr_binary64`
12×	`exp-prod_binary64`
10×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
8×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
7×	`difference-of-squares_binary64` `associate--r+_binary64`
6×	`div-sub_binary64` `*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `associate--l+_binary64`
5×	`pow-plus_binary64` `mul-1-neg_binary64` `associate-+l+_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
3×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

163 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3113
1	516	2856
2	1713	2847
3	4996	2847

prune88.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	109	10	119

Error

3.1b

Counts

119 → 10

Compiler

Compiled 3143 to 555 computations (82.3% saved)

regimes2.6s (39.6%)

Accuracy

Total 9.4b remaining (71.8%)

Threshold costs 0b (0%)

Compiler

Compiled 18064 to 10231 computations (43.4% saved)

bsearch68.0ms (1%)

Steps

Iters	Range		Point
9	2.1818654358960573e+119	2.8754714171782444e+128	5.927595764345909e+123
6	1.1477331984778667e-77	1.7696953152369667e-76	2.4346042928963056e-77
7	-6.995812505776091e-104	-3.4874971544698125e-105	-1.548666922304495e-104
10	-4.226848820198116e+170	-1.5965536996621713e+154	-1.6322724406596933e+154

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64` `+-commutative_binary64`
11×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	158
1	54	158
2	69	158
3	90	158
4	102	158
5	108	158
6	110	158
7	110	158

end1.0ms (0%)

Compiler: Compiled 105 to 36 computations (65.7% saved)

sample929.0ms (14.2%)

Algorithm

1×

intervals

Results

343.0ms	8000×	body	128	valid
19.0ms	474×	body	128	invalid

Compiler

Compiled 387 to 217 computations (43.9% saved)

Details

analyze648.0ms (9.9%)

sample23.0ms (0.3%)

simplify131.0ms (2%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite109.0ms (1.7%)

series178.0ms (2.7%)

simplify128.0ms (2%)

prune58.0ms (0.9%)

localize13.0ms (0.2%)

rewrite115.0ms (1.8%)

series306.0ms (4.7%)

simplify146.0ms (2.2%)

prune76.0ms (1.2%)

localize11.0ms (0.2%)

rewrite103.0ms (1.6%)

series174.0ms (2.6%)

simplify93.0ms (1.4%)

prune41.0ms (0.6%)

localize14.0ms (0.2%)

rewrite134.0ms (2%)

series259.0ms (3.9%)

simplify95.0ms (1.5%)

prune88.0ms (1.3%)

regimes2.6s (39.6%)

bsearch68.0ms (1%)

simplify9.0ms (0.1%)

end1.0ms (0%)

sample929.0ms (14.2%)

Profiling