Details

analyze378.0ms (7.2%)

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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify163.0ms (3.1%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.2b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite248.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

233×	`times-frac_binary64`
194×	`add-sqr-sqrt_binary64`
184×	`*-un-lft-identity_binary64`
94×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
20×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `associate-/r*_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`
1×	`associate-/l/_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

3 → 209

Calls

3 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 4050 to 1420 computations (64.9% saved)

series155.0ms (2.9%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

80.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
37.0ms	(/.f64 v (+.f64 t1 u))
17.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 1649 to 1251 computations (24.1% saved)

simplify229.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

856×	`times-frac_binary64`
476×	`div-sub_binary64`
316×	`associate-/l/_binary64`
167×	`associate-/r*_binary64`
157×	`cancel-sign-sub-inv_binary64`
140×	`distribute-neg-frac_binary64`
138×	`*-commutative_binary64`
135×	`sub-neg_binary64`
119×	`associate-/l*_binary64`
111×	`associate-*l/_binary64`
91×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64`
79×	`associate-*r/_binary64`
78×	`exp-prod_binary64` `associate-/r/_binary64`
77×	`distribute-rgt-in_binary64`
70×	`distribute-lft-in_binary64`
63×	`*-rgt-identity_binary64`
53×	`distribute-lft-neg-out_binary64`
49×	`associate-r_binary64`
45×	`+-commutative_binary64`
42×	`distribute-rgt-neg-out_binary64`
41×	`associate-l_binary64`
36×	`distribute-frac-neg_binary64`
33×	`cube-prod_binary64` `unswap-sqr_binary64`
31×	`exp-sum_binary64`
24×	`cube-div_binary64` `/-rgt-identity_binary64`
23×	`sqr-pow_binary64`
20×	`exp-diff_binary64` `unsub-neg_binary64`
19×	`*-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
16×	`log-div_binary64`
15×	`associate--r+_binary64`
14×	`distribute-neg-in_binary64`
13×	`associate--l+_binary64`
12×	`cube-unmult_binary64`
10×	`log-prod_binary64` `unpow3_binary64`
7×	`exp-neg_binary64` `distribute-lft-neg-in_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
6×	`mul-1-neg_binary64` `div0_binary64` `swap-sqr_binary64`
5×	`cube-mult_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
4×	`sqr-neg_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sub0-neg_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

266 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	365	7123
1	954	6963
2	2744	6912
3	4432	6906
4	5238	6906

prune82.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	149	10	159

Error

0.2b

Counts

159 → 10

Compiler

Compiled 1702 to 708 computations (58.4% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
6.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite158.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

22×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64` `cbrt-prod_binary64`
16×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `distribute-lft-out--_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 77

Calls

4 calls:

21.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 3284 to 1459 computations (55.6% saved)

series399.0ms (7.5%)

Error

0.2b

Counts

4 → 66

Calls

4 calls:

153.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
61.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
55.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
55.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 6635 to 4697 computations (29.2% saved)

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-/r*_binary64`
232×	`cancel-sign-sub-inv_binary64`
195×	`associate-/r/_binary64`
163×	`associate-/l/_binary64`
144×	`times-frac_binary64` `unswap-sqr_binary64`
143×	`distribute-rgt-neg-in_binary64`
135×	`distribute-lft-neg-in_binary64`
123×	`associate-/l*_binary64`
106×	`associate-r_binary64`
104×	`*-commutative_binary64`
99×	`sub-neg_binary64`
84×	`associate-l_binary64`
83×	`associate-*r/_binary64`
81×	`distribute-neg-frac_binary64`
72×	`distribute-rgt-in_binary64`
70×	`log-prod_binary64`
69×	`associate-*l/_binary64`
61×	`neg-sub0_binary64` `distribute-lft-in_binary64`
60×	`neg-mul-1_binary64`
59×	`sqr-pow_binary64`
52×	`+-commutative_binary64`
50×	`exp-prod_binary64`
45×	`log-div_binary64` `exp-sum_binary64`
35×	`distribute-rgt-out_binary64`
28×	`unsub-neg_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`div-sub_binary64`
23×	`log-pow_binary64` `distribute-lft-out--_binary64`
21×	`distribute-rgt-neg-out_binary64`
19×	`unpow1/3_binary64` `exp-diff_binary64` `associate--l+_binary64`
18×	`distribute-rgt-out--_binary64`
12×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
11×	`associate-+l+_binary64`
10×	`distribute-neg-out_binary64` `associate--r+_binary64`
9×	`exp-to-pow_binary64` `cube-unmult_binary64` `pow-sqr_binary64`
7×	`swap-sqr_binary64` `associate-+r+_binary64`
6×	`exp-neg_binary64` `associate-+l-_binary64`
5×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`exp-lft-sqr_binary64` `cube-div_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `rem-3cbrt-lft_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `/-rgt-identity_binary64` `*-lft-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` `pow-base-0_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `distribute-lft1-in_binary64`

Counts

143 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	4444
1	665	3796
2	1917	3521
3	4891	3515
4	4971	3515

prune84.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Error

0.2b

Counts

104 → 10

Compiler

Compiled 2713 to 1347 computations (50.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
13.6b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
13.6b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
13.6b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

rewrite289.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

268×	`times-frac_binary64`
223×	`add-sqr-sqrt_binary64`
217×	`*-un-lft-identity_binary64`
180×	`cbrt-prod_binary64`
113×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64`
30×	`distribute-lft-out_binary64`
22×	`associate-/r/_binary64` `distribute-lft-out--_binary64`
21×	`associate-/l*_binary64`
11×	`div-inv_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `associate-/r*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `cbrt-div_binary64`
3×	`pow1/3_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 249

Calls

4 calls:

17.0ms	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

Compiler

Compiled 7979 to 1884 computations (76.4% saved)

series270.0ms (5.1%)

Error

0.1b

Counts

4 → 40

Calls

4 calls:

71.0ms	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
53.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
53.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
53.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

Compiler

Compiled 4176 to 2524 computations (39.6% saved)

simplify428.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

688×	`times-frac_binary64`
317×	`div-sub_binary64`
218×	`associate-/r*_binary64`
174×	`associate-/l/_binary64`
164×	`exp-sum_binary64`
160×	`*-commutative_binary64`
138×	`associate-/l*_binary64`
128×	`neg-sub0_binary64`
121×	`exp-prod_binary64`
109×	`associate-r_binary64`
106×	`exp-diff_binary64`
104×	`neg-mul-1_binary64`
87×	`sub-neg_binary64`
80×	`associate-*l/_binary64`
79×	`associate-l_binary64`
70×	`log-div_binary64`
66×	`associate-*r/_binary64`
64×	`distribute-rgt-in_binary64` `associate-/r/_binary64` `+-commutative_binary64`
61×	`distribute-neg-frac_binary64`
58×	`distribute-lft-in_binary64`
56×	`distribute-rgt-neg-in_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`associate-+r-_binary64`
49×	`distribute-lft-neg-in_binary64`
48×	`log-pow_binary64`
47×	`log-prod_binary64`
44×	`sqr-pow_binary64`
38×	`unpow1/3_binary64` `associate-+l-_binary64`
32×	`exp-to-pow_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
20×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
18×	`unsub-neg_binary64`
17×	`div-exp_binary64` `distribute-lft-neg-out_binary64`
16×	`exp-neg_binary64`
14×	`log-rec_binary64` `rem-exp-log_binary64` `*-rgt-identity_binary64`
13×	`unpow3_binary64`
12×	`associate--r-_binary64`
11×	`distribute-rgt-neg-out_binary64` `associate--l-_binary64`
9×	`cube-unmult_binary64`
8×	`distribute-neg-out_binary64` `associate--r+_binary64`
7×	`pow-plus_binary64`
6×	`cube-prod_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
5×	`cube-div_binary64`
3×	`cube-mult_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
2×	`rec-exp_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `distribute-rgt-out_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `difference-of-squares_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` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_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` `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` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

289 → 178

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	362	8879
1	676	8743
2	1344	8663
3	3075	8391
4	4813	8357
5	4898	8290
6	4977	8290
7	4947	8290

prune119.0ms (2.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	178	10	188

Error

0.2b

Counts

188 → 10

Compiler

Compiled 3910 to 1099 computations (71.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
2.4b	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite289.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

58.0ms	(.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)

series146.0ms (2.8%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

79.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
17.0ms	(cbrt.f64 v)
16.0ms	(cbrt.f64 v)
16.0ms	(cbrt.f64 v)

Compiler

Compiled 1324 to 994 computations (24.9% saved)

simplify190.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-l_binary64`
486×	`associate-/l*_binary64`
439×	`associate-*r/_binary64`
399×	`associate-*l/_binary64`
291×	`associate-/l/_binary64`
184×	`times-frac_binary64` `associate-/r*_binary64`
153×	`*-commutative_binary64`
48×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
27×	`log-div_binary64` `/-rgt-identity_binary64`
24×	`unswap-sqr_binary64`
20×	`sub-neg_binary64`
19×	`sqr-pow_binary64` `associate-/r/_binary64`
14×	`neg-sub0_binary64`
12×	`+-commutative_binary64`
11×	`cancel-sign-sub-inv_binary64`
9×	`neg-mul-1_binary64`
8×	`exp-prod_binary64`
7×	`log-prod_binary64` `cube-unmult_binary64` `-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `associate-r*_binary64`
6×	`mul-1-neg_binary64`
5×	`*-lft-identity_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
4×	`log-pow_binary64` `unpow3_binary64` `cube-mult_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64`
3×	`associate--r+_binary64`
2×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64` `associate-+l+_binary64`
1×	`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--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-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`

Counts

280 → 246

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	7662
1	1309	6455
2	4979	6455
3	4993	6455

prune131.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	246	10	256

Error

0.2b

Counts

256 → 10

Compiler

Compiled 4612 to 1743 computations (62.2% saved)

regimes551.0ms (10.4%)

Accuracy

Total 1.2b remaining (87%)

Threshold costs 0b (0%)

Compiler

Compiled 8817 to 5794 computations (34.3% 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)

sample755.0ms (14.3%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
7.0ms	233×	body	128	invalid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Details

analyze378.0ms (7.2%)

sample22.0ms (0.4%)

simplify163.0ms (3.1%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite248.0ms (4.7%)

series155.0ms (2.9%)

simplify229.0ms (4.3%)

prune82.0ms (1.5%)

localize20.0ms (0.4%)

rewrite158.0ms (3%)

series399.0ms (7.5%)

simplify142.0ms (2.7%)

prune84.0ms (1.6%)

localize12.0ms (0.2%)

rewrite289.0ms (5.5%)

series270.0ms (5.1%)

simplify428.0ms (8.1%)

prune119.0ms (2.3%)

localize12.0ms (0.2%)

rewrite289.0ms (5.5%)

series146.0ms (2.8%)

simplify190.0ms (3.6%)

prune131.0ms (2.5%)

regimes551.0ms (10.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample755.0ms (14.3%)

Profiling