Details

analyze152.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

736×	`unswap-sqr_binary64`
587×	`associate-l_binary64`
463×	`associate-r_binary64`
376×	`distribute-rgt-out_binary64`
262×	`distribute-rgt-in_binary64`
254×	`distribute-lft-out_binary64` `distribute-lft-in_binary64`
141×	`*-commutative_binary64`
106×	`cube-prod_binary64`
90×	`neg-sub0_binary64`
88×	`associate-/l/_binary64`
80×	`cancel-sign-sub-inv_binary64`
62×	`neg-mul-1_binary64` `associate-/l*_binary64`
56×	`exp-prod_binary64`
50×	`sqr-pow_binary64`
44×	`associate-*r/_binary64`
42×	`unpow3_binary64` `*-lft-identity_binary64`
38×	`*-rgt-identity_binary64`
36×	`associate-+l+_binary64` `associate-+r+_binary64`
32×	`unsub-neg_binary64` `associate-/r/_binary64`
30×	`pow-plus_binary64` `pow-sqr_binary64`
28×	`mul-1-neg_binary64`
26×	`cube-mult_binary64`
22×	`distribute-rgt-neg-in_binary64`
20×	`cube-unmult_binary64`
18×	`sub-neg_binary64`
15×	`+-commutative_binary64`
14×	`prod-exp_binary64`
12×	`exp-lft-sqr_binary64` `distribute-lft-neg-in_binary64` `associate-*l/_binary64`
10×	`exp-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `associate-/r*_binary64`
8×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
6×	`rem-sqrt-square_binary64`
4×	`unpow2_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
2×	`unpow1_binary64` `remove-double-div_binary64` `swap-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `swap-a-x`
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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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-div_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` `times-frac_binary64` `div-sub_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	17	18
2	25	18
3	41	18
4	87	18
5	207	18
6	588	18
7	2255	18
8	4867	18
9	4797	18
10	5024	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample43.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	46×	body	2048	valid
8.0ms	62×	body	1024	valid
3.0ms	39×	body	512	valid
2.0ms	89×	body	128	valid
1.0ms	20×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

467×	`cancel-sign-sub-inv_binary64`
455×	`*-commutative_binary64`
440×	`unswap-sqr_binary64`
344×	`associate-l_binary64`
274×	`associate-+l+_binary64`
273×	`associate-r_binary64`
266×	`associate-+r+_binary64`
201×	`associate-/l/_binary64`
192×	`distribute-rgt-out_binary64`
153×	`distribute-rgt-in_binary64`
149×	`distribute-lft-in_binary64`
138×	`associate-/r/_binary64`
135×	`unsub-neg_binary64` `difference-of-squares_binary64`
131×	`distribute-lft-out_binary64`
112×	`associate-/l*_binary64`
89×	`associate-*r/_binary64`
81×	`times-frac_binary64`
68×	`sqr-pow_binary64`
64×	`+-commutative_binary64`
62×	`sub-neg_binary64`
47×	`associate-*l/_binary64`
46×	`neg-sub0_binary64`
44×	`associate-/r*_binary64`
39×	`exp-prod_binary64`
36×	`pow-sqr_binary64`
34×	`cube-prod_binary64`
31×	`*-lft-identity_binary64`
28×	`neg-mul-1_binary64` `difference-of-sqr--1_binary64`
27×	`*-rgt-identity_binary64`
19×	`unpow3_binary64` `pow-plus_binary64` `associate--r+_binary64`
18×	`mul-1-neg_binary64`
14×	`associate-+l-_binary64` `associate-+r-_binary64`
13×	`difference-of-sqr-1_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-rgt-neg-in_binary64`
10×	`exp-sqrt_binary64`
6×	`distribute-lft-neg-in_binary64`
5×	`exp-lft-sqr_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
4×	`/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow2_binary64` `remove-double-div_binary64`
2×	`cube-mult_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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-div_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `remove-double-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	9
2	22	9
3	33	9
4	65	9
5	149	9
6	403	9
7	1433	9
8	3314	9
9	4997	9
10	4875	9

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.0b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
3.4b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

Rules

7×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
1.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 317 to 145 computations (54.3% saved)

series43.0ms (1.2%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

19.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
15.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 480 to 409 computations (14.8% saved)

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

418×	`*-commutative_binary64`
330×	`cancel-sign-sub-inv_binary64`
326×	`unswap-sqr_binary64`
306×	`associate-+l+_binary64`
227×	`distribute-rgt-out_binary64`
221×	`sqr-pow_binary64`
212×	`associate-+r+_binary64`
196×	`associate-l_binary64`
194×	`distribute-rgt-in_binary64`
191×	`distribute-lft-in_binary64`
186×	`associate-r_binary64`
151×	`exp-prod_binary64`
146×	`distribute-lft-out_binary64`
104×	`sub-neg_binary64`
90×	`difference-of-squares_binary64`
84×	`exp-sum_binary64`
72×	`cube-prod_binary64` `pow-sqr_binary64`
60×	`unsub-neg_binary64`
56×	`log-prod_binary64`
55×	`+-commutative_binary64`
48×	`associate-/l*_binary64`
42×	`count-2_binary64`
38×	`log-pow_binary64`
35×	`neg-sub0_binary64`
34×	`swap-sqr_binary64`
27×	`unpow3_binary64`
26×	`exp-to-pow_binary64` `associate--r+_binary64`
25×	`difference-of-sqr--1_binary64`
24×	`cube-div_binary64` `neg-mul-1_binary64`
23×	`pow-plus_binary64`
22×	`difference-of-sqr-1_binary64`
19×	`associate-/l/_binary64`
18×	`rem-sqrt-square_binary64` `associate-/r*_binary64`
17×	`cube-mult_binary64`
16×	`cube-unmult_binary64` `distribute-rgt-neg-in_binary64` `distribute-rgt1-in_binary64`
15×	`associate-*r/_binary64`
14×	`times-frac_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64`
13×	`associate-/r/_binary64`
12×	`mul-1-neg_binary64` `associate-+r-_binary64`
10×	`sub0-neg_binary64` `distribute-lft1-in_binary64`
9×	`*-rgt-identity_binary64`
8×	`-lft-identity_binary64` `associate-l/_binary64`
7×	`prod-exp_binary64` `rem-log-exp_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
6×	`exp-lft-sqr_binary64` `remove-double-neg_binary64`
5×	`exp-sqrt_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64`
4×	`unpow1/2_binary64` `rem-exp-log_binary64`
3×	`unpow1_binary64` `div-sub_binary64` `distribute-neg-out_binary64`
2×	`unpow2_binary64` `exp-diff_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64`
1×	`exp-lft-cube_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_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` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

52 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	731
1	152	706
2	365	676
3	1142	658
4	2745	652
5	3572	652
6	4917	652

prune13.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

1.8b

Counts

24 → 3

Compiler

Compiled 234 to 128 computations (45.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 3)
0.5b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
7.4b	(.f64 a (.f64 x x))
10.4b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

rewrite104.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64` `-commutative_binary64` `associate-r/_binary64` `pow-pow_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `unpow-prod-down_binary64` `pow-to-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(.f64 a (.f64 x x))
6.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
5.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
3.0ms	(pow.f64 (*.f64 a x) 3)

Compiler

Compiled 2346 to 1238 computations (47.2% saved)

series159.0ms (4.5%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

64.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
41.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
24.0ms	(pow.f64 (*.f64 a x) 3)
20.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 1858 to 1374 computations (26% saved)

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

335×	`exp-prod_binary64`
325×	`cube-prod_binary64`
305×	`distribute-rgt-in_binary64`
288×	`distribute-lft-in_binary64`
260×	`associate-l_binary64`
252×	`associate-r_binary64`
221×	`unswap-sqr_binary64`
214×	`log-prod_binary64`
185×	`distribute-rgt-neg-in_binary64`
172×	`distribute-lft-neg-in_binary64`
161×	`cancel-sign-sub-inv_binary64`
104×	`*-commutative_binary64`
99×	`swap-sqr_binary64`
88×	`unpow3_binary64`
79×	`sqr-pow_binary64`
74×	`cube-mult_binary64`
52×	`distribute-rgt-out_binary64`
45×	`associate-/l*_binary64`
34×	`associate-+l+_binary64`
30×	`associate-+r+_binary64`
24×	`+-commutative_binary64`
23×	`distribute-rgt-out--_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64`
19×	`log-pow_binary64`
16×	`pow-plus_binary64` `sub-neg_binary64`
15×	`cube-unmult_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
13×	`*-rgt-identity_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`distribute-lft-out_binary64`
8×	`associate-+r-_binary64`
6×	`associate-+l-_binary64`
5×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
4×	`exp-sum_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `associate-/r/_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

110 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1734
1	382	1497
2	1480	1491
3	4342	1491
4	5065	1491

prune41.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	77	3	80

Error

0.0b

Counts

80 → 3

Compiler

Compiled 1191 to 649 computations (45.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 2)
0.2b	(pow.f64 (*.f64 a x) 3)
4.6b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
10.4b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

rewrite96.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-log-exp_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `pow-unpow_binary64`
4×	`pow-pow_binary64` `pow-exp_binary64`
2×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `unpow-prod-down_binary64` `pow-prod-down_binary64` `pow-to-exp_binary64` `prod-exp_binary64` `rem-cube-cbrt_binary64` `sqr-pow_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `cbrt-unprod_binary64` `unpow2_binary64`

Counts

4 → 62

Calls

4 calls:

5.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
4.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
3.0ms	(pow.f64 (*.f64 a x) 3)
3.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 2006 to 1159 computations (42.2% saved)

series158.0ms (4.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

63.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
40.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
24.0ms	(pow.f64 (*.f64 a x) 3)
23.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 1855 to 1359 computations (26.7% saved)

simplify82.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

496×	`*-commutative_binary64`
318×	`cube-prod_binary64`
315×	`exp-prod_binary64`
302×	`sqr-pow_binary64`
234×	`cancel-sign-sub-inv_binary64`
218×	`distribute-rgt-neg-in_binary64`
204×	`distribute-lft-neg-in_binary64`
180×	`associate-r_binary64`
178×	`unswap-sqr_binary64`
176×	`log-prod_binary64`
163×	`associate-l_binary64`
133×	`distribute-rgt-in_binary64`
127×	`distribute-rgt-out_binary64`
126×	`neg-mul-1_binary64` `neg-sub0_binary64`
107×	`swap-sqr_binary64`
105×	`distribute-lft-in_binary64`
100×	`sub-neg_binary64`
68×	`unpow3_binary64` `pow-sqr_binary64`
63×	`associate-/l*_binary64`
60×	`cube-mult_binary64`
55×	`distribute-rgt-out--_binary64`
35×	`associate-+l+_binary64`
27×	`associate-+r+_binary64` `+-commutative_binary64`
25×	`distribute-lft-out_binary64`
22×	`unsub-neg_binary64`
20×	`log-pow_binary64`
16×	`pow-plus_binary64` `distribute-lft-neg-out_binary64`
14×	`rem-sqrt-square_binary64`
12×	`associate-+r-_binary64`
11×	`distribute-lft-out--_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
6×	`sub0-neg_binary64` `distribute-rgt1-in_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
5×	`unpow1/2_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `*-rgt-identity_binary64`
2×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate-/r/_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `*-lft-identity_binary64` `distribute-lft1-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` `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` `log-div_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

98 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1449
1	312	1299
2	1223	1290
3	3650	1290
4	5098	1290

prune32.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 788 to 452 computations (42.6% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.6b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
10.4b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
14.7b	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
14.7b	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))

rewrite105.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 52

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
5.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
4.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
4.0ms	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))

Compiler

Compiled 2734 to 1568 computations (42.6% saved)

series173.0ms (4.9%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

55.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
43.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
29.0ms	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
28.0ms	(sqrt.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))

Compiler

Compiled 3072 to 2099 computations (31.7% saved)

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

666×	`distribute-rgt-neg-in_binary64`
457×	`*-commutative_binary64`
295×	`cube-prod_binary64`
291×	`exp-prod_binary64`
282×	`swap-sqr_binary64`
239×	`sqr-pow_binary64`
229×	`cancel-sign-sub-inv_binary64`
199×	`distribute-lft-neg-in_binary64`
175×	`associate-r_binary64`
157×	`associate-l_binary64`
151×	`unswap-sqr_binary64`
132×	`distribute-rgt-in_binary64`
125×	`distribute-rgt-out_binary64`
124×	`neg-sub0_binary64`
122×	`neg-mul-1_binary64`
106×	`distribute-lft-in_binary64`
101×	`sub-neg_binary64`
64×	`unpow3_binary64`
58×	`cube-mult_binary64`
55×	`associate-/l*_binary64`
54×	`distribute-rgt-out--_binary64`
35×	`pow-sqr_binary64`
33×	`distribute-lft-neg-out_binary64`
27×	`+-commutative_binary64`
26×	`associate-+l+_binary64`
22×	`unsub-neg_binary64` `distribute-lft-out_binary64`
18×	`associate-+r+_binary64`
17×	`distribute-neg-in_binary64`
12×	`log-prod_binary64` `associate-+r-_binary64`
10×	`pow-plus_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
9×	`cube-unmult_binary64`
7×	`rem-sqrt-square_binary64`
6×	`sub0-neg_binary64` `distribute-rgt1-in_binary64`
5×	`unpow1/2_binary64`
4×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64`
2×	`prod-exp_binary64` `mul-1-neg_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_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` `log-pow_binary64` `log-rec_binary64` `log-div_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

90 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1957
1	297	1768
2	1108	1765
3	3240	1765
4	5192	1765

prune40.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	48	4	52

Error

0.0b

Counts

52 → 4

Compiler

Compiled 1334 to 779 computations (41.6% saved)

regimes543.0ms (15.3%)

Accuracy

Total 0.3b remaining (89.9%)

Threshold costs 0.3b (89.9%)

Compiler

Compiled 5313 to 3871 computations (27.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64` `*-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-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-neg-frac_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	27	58
1	40	58
2	41	58
3	39	58

end9.0ms (0.3%)

Remove: (sort a x)
Compiler: Compiled 117 to 72 computations (38.5% saved)

sample1.3s (37.5%)

Algorithm

1×

intervals

Results

408.0ms	1478×	body	2048	valid
243.0ms	1732×	body	1024	valid
102.0ms	1142×	body	512	valid
76.0ms	3028×	body	128	valid
31.0ms	620×	body	256	valid
3.0ms	143×	body	128	invalid

Compiler

Compiled 206 to 145 computations (29.6% saved)

Details

analyze152.0ms (4.3%)

sample43.0ms (1.2%)

simplify64.0ms (1.8%)

prune1.0ms (0%)

localize8.0ms (0.2%)

rewrite44.0ms (1.2%)

series43.0ms (1.2%)

simplify79.0ms (2.2%)

prune13.0ms (0.4%)

localize16.0ms (0.4%)

rewrite104.0ms (2.9%)

series159.0ms (4.5%)

simplify90.0ms (2.5%)

prune41.0ms (1.2%)

localize14.0ms (0.4%)

rewrite96.0ms (2.7%)

series158.0ms (4.5%)

simplify82.0ms (2.3%)

prune32.0ms (0.9%)

localize17.0ms (0.5%)

rewrite105.0ms (2.9%)

series173.0ms (4.9%)

simplify91.0ms (2.6%)

prune40.0ms (1.1%)

regimes543.0ms (15.3%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end9.0ms (0.3%)

sample1.3s (37.5%)

Profiling