Details

analyze369.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

689×	`sub-neg_binary64`
485×	`associate-/l*_binary64`
478×	`neg-mul-1_binary64`
404×	`times-frac_binary64`
396×	`div-sub_binary64`
364×	`distribute-rgt-in_binary64`
335×	`cancel-sign-sub_binary64` `associate-/r/_binary64`
292×	`distribute-frac-neg_binary64`
270×	`distribute-neg-frac_binary64`
251×	`associate-/r*_binary64`
231×	`distribute-lft-in_binary64`
190×	`associate--l-_binary64`
187×	`neg-sub0_binary64`
177×	`associate--l+_binary64`
176×	`associate-+l-_binary64`
169×	`associate-/l/_binary64`
164×	`associate-*l/_binary64`
125×	`unsub-neg_binary64`
115×	`distribute-neg-out_binary64`
110×	`associate-*r/_binary64`
102×	`cancel-sign-sub-inv_binary64`
93×	`remove-double-neg_binary64`
90×	`+-commutative_binary64`
81×	`associate-+l+_binary64` `*-commutative_binary64`
77×	`+-lft-identity_binary64`
73×	`mul0-rgt_binary64`
72×	`associate--r+_binary64`
70×	`div0_binary64` `swap-sqr_binary64`
66×	`mul0-lft_binary64`
60×	`associate-+r+_binary64`
59×	`associate-r_binary64`
57×	`associate-+r-_binary64`
40×	`distribute-rgt-out_binary64`
35×	`--rgt-identity_binary64`
33×	`associate--r-_binary64`
27×	`sub0-neg_binary64`
26×	`associate-l_binary64`
25×	`sqr-neg_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`*-rgt-identity_binary64`
21×	`+-rgt-identity_binary64`
19×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
10×	`distribute-lft-neg-in_binary64`
9×	`distribute-neg-in_binary64`
8×	`unswap-sqr_binary64`
6×	`-lft-identity_binary64` `-inverses_binary64` `count-2_binary64`
3×	`mul-1-neg_binary64` `/-rgt-identity_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` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	72
1	90	72
2	236	72
3	614	72
4	1027	72
5	1169	72
6	1638	72
7	2401	72
8	4193	64
9	4239	64
10	4927	64
11	4929	64
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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify159.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

754×	`unsub-neg_binary64`
536×	`sub-neg_binary64`
532×	`neg-mul-1_binary64`
517×	`neg-sub0_binary64`
512×	`div-sub_binary64`
509×	`times-frac_binary64`
412×	`distribute-lft-neg-out_binary64`
322×	`distribute-neg-frac_binary64`
321×	`associate-/l*_binary64`
264×	`distribute-neg-out_binary64`
258×	`remove-double-neg_binary64`
247×	`distribute-frac-neg_binary64`
246×	`distribute-rgt-in_binary64`
217×	`associate-/r*_binary64`
195×	`distribute-rgt-out--_binary64`
192×	`distribute-neg-in_binary64`
187×	`associate-r_binary64`
176×	`distribute-lft-in_binary64`
159×	`associate-l_binary64`
151×	`associate-/r/_binary64`
146×	`associate-*l/_binary64`
140×	`+-commutative_binary64`
138×	`distribute-rgt-out_binary64`
137×	`associate-/l/_binary64`
106×	`associate-*r/_binary64`
99×	`unswap-sqr_binary64`
77×	`swap-sqr_binary64`
70×	`cancel-sign-sub-inv_binary64`
68×	`associate--l-_binary64` `associate-+l-_binary64`
66×	`associate-+l+_binary64`
60×	`distribute-lft-out--_binary64`
59×	`distribute-rgt-neg-out_binary64`
51×	`*-commutative_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`*-rgt-identity_binary64` `mul0-rgt_binary64`
38×	`distribute-lft-out_binary64`
37×	`/-rgt-identity_binary64`
35×	`associate--l+_binary64`
34×	`mul0-lft_binary64` `associate-+r-_binary64`
32×	`div0_binary64`
31×	`sqr-neg_binary64`
30×	`associate-+r+_binary64`
25×	`distribute-lft-neg-in_binary64` `associate--r-_binary64`
22×	`+-lft-identity_binary64`
18×	`*-lft-identity_binary64` `associate--r+_binary64`
16×	`sub0-neg_binary64`
15×	`mul-1-neg_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64`
9×	`--rgt-identity_binary64`
7×	`+-rgt-identity_binary64`
5×	`count-2_binary64`
3×	`distribute-lft1-in_binary64`
2×	`*-inverses_binary64` `lft-mult-inverse_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` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `cancel-sign-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	30	18
2	81	18
3	183	18
4	302	18
5	348	18
6	463	18
7	695	18
8	1110	16
9	3301	16
10	3694	16
11	4088	16
12	4978	16
13	4978	16
14	4954	16
15	4942	16

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.7b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.5b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite204.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

223×	`times-frac_binary64`
181×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
19×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 182

Calls

2 calls:

16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 3548 to 1226 computations (65.4% saved)

series105.0ms (2.2%)

Error

0.4b

Counts

2 → 30

Calls

2 calls:

63.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
29.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 913 to 709 computations (22.3% saved)

simplify197.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

498×	`times-frac_binary64`
449×	`associate-/l*_binary64`
366×	`associate-l_binary64`
291×	`associate-/l/_binary64`
278×	`distribute-rgt-in_binary64`
265×	`distribute-lft-in_binary64`
245×	`associate-*l/_binary64`
236×	`div-sub_binary64`
217×	`associate-/r/_binary64`
171×	`associate-*r/_binary64`
142×	`associate-/r*_binary64`
83×	`*-commutative_binary64`
76×	`sub-neg_binary64`
66×	`distribute-neg-frac_binary64`
60×	`cancel-sign-sub-inv_binary64`
57×	`*-rgt-identity_binary64`
47×	`neg-sub0_binary64`
45×	`distribute-rgt-neg-in_binary64`
42×	`neg-mul-1_binary64`
41×	`distribute-lft-neg-in_binary64`
31×	`cube-prod_binary64`
28×	`log-div_binary64`
26×	`+-commutative_binary64`
25×	`cube-div_binary64`
23×	`log-prod_binary64` `unswap-sqr_binary64`
22×	`sqr-pow_binary64`
20×	`/-rgt-identity_binary64` `associate-r_binary64`
17×	`distribute-lft-neg-out_binary64`
16×	`*-lft-identity_binary64`
14×	`distribute-rgt-neg-out_binary64`
12×	`exp-prod_binary64`
10×	`cube-unmult_binary64`
7×	`unpow3_binary64`
6×	`mul-1-neg_binary64`
5×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
4×	`cube-neg_binary64` `div0_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
3×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-diff_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `exp-sum_binary64` `1-exp_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate--l-_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` `log-pow_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-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` `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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

212 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	6057
1	729	5926
2	1991	5906
3	4812	5906
4	5273	5906

prune59.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	114	7	121

Error

0.4b

Counts

121 → 7

Compiler

Compiled 1391 to 570 computations (59% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
1.7b	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite260.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

359×	`times-frac_binary64`
287×	`add-sqr-sqrt_binary64`
260×	`*-un-lft-identity_binary64`
186×	`associate-r_binary64`
128×	`add-cube-cbrt_binary64`
82×	`cbrt-prod_binary64`
60×	`difference-of-squares_binary64`
36×	`distribute-lft-out_binary64`
30×	`distribute-lft-out--_binary64`
25×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
14×	`associate-/r/_binary64`
9×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`div-inv_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 247

Calls

4 calls:

56.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)

Compiler

Compiled 6382 to 1950 computations (69.4% saved)

series126.0ms (2.7%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

62.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
18.0ms	(cbrt.f64 v)
18.0ms	(cbrt.f64 v)
16.0ms	(cbrt.f64 v)

Compiler

Compiled 991 to 745 computations (24.8% saved)

simplify133.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-l_binary64`
465×	`associate-/l*_binary64`
448×	`associate-r_binary64`
433×	`associate-*r/_binary64`
390×	`associate-*l/_binary64`
289×	`associate-/l/_binary64`
168×	`associate-/r*_binary64`
161×	`times-frac_binary64`
147×	`*-commutative_binary64`
48×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
27×	`/-rgt-identity_binary64`
24×	`unswap-sqr_binary64`
17×	`sqr-pow_binary64`
15×	`associate-/r/_binary64`
12×	`neg-sub0_binary64` `sub-neg_binary64`
9×	`+-commutative_binary64`
8×	`exp-prod_binary64`
7×	`log-prod_binary64` `cube-unmult_binary64` `neg-mul-1_binary64` `*-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
6×	`mul-1-neg_binary64`
5×	`log-div_binary64` `*-lft-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `associate-+r-_binary64`
2×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64` `associate-+l+_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `1-exp_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `count-2_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/2_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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-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-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

271 → 237

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	394	7176
1	1256	5993
2	5415	5993

prune122.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	237	7	244

Error

0.4b

Counts

244 → 7

Compiler

Compiled 4572 to 1744 computations (61.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2)))
0.1b	(*.f64 u (+.f64 (/.f64 u t1) 2))
2.6b	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))

rewrite126.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

30×	`add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
10×	`associate-/l*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64`
4×	`neg-mul-1_binary64` `associate-r_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `associate-+r+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 95

Calls

3 calls:

9.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))
6.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
4.0ms	(+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2)))

Compiler

Compiled 2041 to 983 computations (51.8% saved)

series135.0ms (2.9%)

Error

0.4b

Counts

3 → 45

Calls

3 calls:

60.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
34.0ms	(+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2)))
26.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))

Compiler

Compiled 999 to 845 computations (15.4% saved)

simplify124.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
526×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
210×	`div-sub_binary64`
179×	`neg-sub0_binary64`
171×	`neg-mul-1_binary64`
85×	`distribute-frac-neg_binary64`
83×	`associate-l_binary64`
82×	`associate-r_binary64`
81×	`cancel-sign-sub-inv_binary64`
80×	`associate-/l*_binary64`
73×	`sub-neg_binary64`
66×	`distribute-rgt-neg-out_binary64`
61×	`distribute-lft-neg-in_binary64`
60×	`distribute-rgt-neg-in_binary64`
58×	`*-commutative_binary64`
53×	`distribute-lft-neg-out_binary64`
42×	`exp-prod_binary64`
38×	`associate-/r*_binary64`
37×	`unswap-sqr_binary64` `associate-/l/_binary64`
36×	`distribute-neg-in_binary64`
33×	`cube-prod_binary64`
31×	`sqr-pow_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
29×	`log-prod_binary64`
24×	`associate-*r/_binary64`
19×	`log-div_binary64` `+-commutative_binary64`
17×	`cube-div_binary64` `*-rgt-identity_binary64`
15×	`associate-/r/_binary64`
14×	`exp-sum_binary64`
13×	`distribute-rgt-out_binary64`
12×	`*-lft-identity_binary64`
11×	`/-rgt-identity_binary64`
10×	`unpow3_binary64`
8×	`div0_binary64` `swap-sqr_binary64`
7×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
6×	`log-rec_binary64`
5×	`mul-1-neg_binary64`
4×	`unsub-neg_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `associate-+l+_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`exp-lft-sqr_binary64` `exp-diff_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

140 → 129

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	179	2960
1	420	2859
2	1448	2859
3	4582	2859
4	4993	2859

prune92.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Error

0.4b

Counts

136 → 7

Compiler

Compiled 1795 to 849 computations (52.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.2b	(*.f64 (/.f64 u t1) (/.f64 u t1))
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
12.4b	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))

rewrite424.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

367×	`times-frac_binary64`
281×	`*-un-lft-identity_binary64`
226×	`add-sqr-sqrt_binary64`
168×	`add-cube-cbrt_binary64`
109×	`associate-l_binary64`
74×	`difference-of-squares_binary64`
38×	`distribute-lft-out_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
28×	`associate-/r/_binary64`
21×	`associate-/l*_binary64`
18×	`div-inv_binary64`
17×	`associate-r_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
13×	`pow1_binary64` `swap-sqr_binary64`
11×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`associate-/r*_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`frac-times_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `associate-l/_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/l/_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64`

Counts

4 → 355

Calls

4 calls:

31.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
15.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
11.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 11006 to 3597 computations (67.3% saved)

series224.0ms (4.8%)

Error

0.4b

Counts

4 → 51

Calls

4 calls:

81.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
70.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
33.0ms	(/.f64 v (+.f64 t1 u))
22.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))

Compiler

Compiled 2208 to 1576 computations (28.6% saved)

simplify276.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-*l/_binary64`
546×	`associate-*r/_binary64`
316×	`associate-/l*_binary64`
299×	`distribute-rgt-in_binary64`
297×	`associate-/l/_binary64`
279×	`distribute-lft-in_binary64`
151×	`associate-/r*_binary64`
119×	`*-commutative_binary64`
95×	`times-frac_binary64`
77×	`associate-/r/_binary64`
70×	`mul-1-neg_binary64`
57×	`sub-neg_binary64`
47×	`log-div_binary64`
46×	`div-sub_binary64`
28×	`cancel-sign-sub-inv_binary64`
22×	`neg-sub0_binary64`
19×	`/-rgt-identity_binary64`
18×	`neg-mul-1_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
16×	`sqr-pow_binary64`
15×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
13×	`associate-r_binary64` `+-commutative_binary64`
12×	`associate-l_binary64`
11×	`-rgt-identity_binary64` `-lft-identity_binary64` `swap-sqr_binary64`
10×	`exp-prod_binary64`
9×	`log-prod_binary64` `cube-unmult_binary64`
8×	`distribute-rgt-out_binary64`
6×	`cube-prod_binary64` `distribute-neg-in_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `cube-div_binary64` `unsub-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
1×	`log-rec_binary64` `pow-plus_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_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` `unpow1/2_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

406 → 372

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	11892
1	1671	11304
2	4972	11304
3	5014	11304

prune258.0ms (5.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	372	0	372
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	372	7	379

Error

0.4b

Counts

379 → 7

Compiler

Compiled 8697 to 2865 computations (67.1% saved)

regimes514.0ms (11%)

Accuracy

Total 1.4b remaining (90.4%)

Threshold costs 0b (0%)

Compiler

Compiled 7625 to 5230 computations (31.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`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` `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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	13	16
2	19	16
3	23	16
4	26	16
5	27	16
6	27	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample677.0ms (14.5%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
8.0ms	258×	body	128	invalid

Compiler

Compiled 128 to 106 computations (17.2% saved)

Details

analyze369.0ms (7.9%)

sample21.0ms (0.5%)

simplify159.0ms (3.4%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite204.0ms (4.4%)

series105.0ms (2.2%)

simplify197.0ms (4.2%)

prune59.0ms (1.3%)

localize12.0ms (0.3%)

rewrite260.0ms (5.6%)

series126.0ms (2.7%)

simplify133.0ms (2.8%)

prune122.0ms (2.6%)

localize10.0ms (0.2%)

rewrite126.0ms (2.7%)

series135.0ms (2.9%)

simplify124.0ms (2.7%)

prune92.0ms (2%)

localize12.0ms (0.2%)

rewrite424.0ms (9.1%)

series224.0ms (4.8%)

simplify276.0ms (5.9%)

prune258.0ms (5.5%)

regimes514.0ms (11%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample677.0ms (14.5%)

Profiling