Details

analyze150.0ms (4.2%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample42.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	44×	body	2048	valid
8.0ms	61×	body	1024	valid
3.0ms	104×	body	128	valid
2.0ms	30×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify63.0ms (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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

28.8b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
3.3b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite41.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

28.7b

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)

series42.0ms (1.2%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

19.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
14.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 480 to 409 computations (14.8% saved)

simplify118.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

426×	`*-commutative_binary64`
330×	`unswap-sqr_binary64`
306×	`associate-+l+_binary64`
245×	`cancel-sign-sub-inv_binary64`
227×	`distribute-rgt-out_binary64`
213×	`sqr-pow_binary64`
212×	`associate-+r+_binary64`
196×	`associate-l_binary64`
194×	`distribute-rgt-in_binary64`
193×	`distribute-lft-in_binary64`
186×	`associate-r_binary64`
148×	`exp-prod_binary64`
146×	`distribute-lft-out_binary64`
125×	`log-pow_binary64`
120×	`log-prod_binary64`
96×	`sub-neg_binary64`
77×	`unpow3_binary64` `cube-prod_binary64`
69×	`exp-sum_binary64`
68×	`pow-sqr_binary64`
59×	`unsub-neg_binary64`
55×	`+-commutative_binary64`
49×	`difference-of-squares_binary64`
48×	`associate-/l*_binary64`
42×	`count-2_binary64`
36×	`distribute-neg-in_binary64`
32×	`exp-to-pow_binary64` `neg-sub0_binary64`
30×	`swap-sqr_binary64`
26×	`associate--r+_binary64`
25×	`pow-plus_binary64` `difference-of-sqr--1_binary64`
24×	`cube-div_binary64`
20×	`neg-mul-1_binary64`
19×	`associate-/l/_binary64`
18×	`difference-of-sqr-1_binary64`
17×	`fabs-mul_binary64` `rem-sqrt-square_binary64` `associate-/r*_binary64`
16×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
15×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
14×	`cube-mult_binary64` `times-frac_binary64` `associate-+l-_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`associate-/r/_binary64` `associate-+r-_binary64`
10×	`mul-1-neg_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64`
9×	`exp-sqrt_binary64` `fabs-sqr_binary64` `*-rgt-identity_binary64`
8×	`unpow2_binary64` `-lft-identity_binary64` `associate-l/_binary64`
7×	`rem-log-exp_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
6×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `remove-double-neg_binary64`
5×	`unpow1_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64`
3×	`rem-exp-log_binary64` `div-sub_binary64`
2×	`exp-diff_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64`
1×	`log-E_binary64` `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` `distribute-frac-neg_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-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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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-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	2744	652
5	3494	652
6	4751	652
7	4990	652
8	4926	652

prune15.0ms (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

0.0b

Counts

24 → 3

Compiler

Compiled 227 to 126 computations (44.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 2)
0.3b	(pow.f64 (*.f64 a x) 4)
3.0b	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
11.2b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))

rewrite108.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-log-exp_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`sum-log_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `pow-unpow_binary64`
4×	`add-cbrt-cube_binary64` `pow-pow_binary64` `pow-exp_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64` `unpow-prod-down_binary64` `pow-prod-down_binary64` `pow-to-exp_binary64` `prod-exp_binary64` `sqr-pow_binary64`
1×	`unpow2_binary64`

Counts

4 → 62

Calls

4 calls:

11.0ms	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
9.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))
4.0ms	(pow.f64 (*.f64 a x) 4)
4.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 2295 to 1349 computations (41.2% saved)

series153.0ms (4.3%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

50.0ms	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
46.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))
24.0ms	(pow.f64 (*.f64 a x) 4)
22.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 1814 to 1412 computations (22.2% saved)

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

695×	`distribute-rgt-in_binary64`
642×	`distribute-lft-in_binary64`
379×	`cancel-sign-sub-inv_binary64`
202×	`distribute-rgt-neg-in_binary64`
195×	`distribute-lft-neg-in_binary64`
145×	`unswap-sqr_binary64`
136×	`associate-r_binary64`
132×	`associate-l_binary64`
120×	`exp-prod_binary64`
105×	`swap-sqr_binary64`
92×	`cube-prod_binary64`
72×	`sqr-pow_binary64`
61×	`*-commutative_binary64`
60×	`distribute-neg-in_binary64`
59×	`distribute-rgt-out_binary64`
53×	`sub-neg_binary64`
45×	`log-prod_binary64`
33×	`+-commutative_binary64`
32×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
30×	`neg-mul-1_binary64` `neg-sub0_binary64`
26×	`associate-+l+_binary64`
23×	`associate-+r+_binary64`
21×	`distribute-lft-neg-out_binary64`
19×	`pow-sqr_binary64` `associate--r+_binary64`
14×	`fabs-mul_binary64` `distribute-rgt-neg-out_binary64`
13×	`prod-exp_binary64`
12×	`unpow3_binary64`
11×	`unsub-neg_binary64` `distribute-lft-out--_binary64`
10×	`cube-mult_binary64`
9×	`associate--l+_binary64`
8×	`log-pow_binary64`
7×	`exp-sum_binary64`
5×	`cube-unmult_binary64`
4×	`unpow1/2_binary64`
3×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
2×	`fabs-sqr_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `associate-+l-_binary64` `associate-+r-_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-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-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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `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-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

108 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2659
1	325	2455
2	1325	2314
3	5135	2314

prune44.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	3	90

Error

0.0b

Counts

90 → 3

Compiler

Compiled 1182 to 665 computations (43.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
0.0b	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 a x)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x)))))
3.3b	(+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x))))

rewrite75.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
5×	`associate-l_binary64`
4×	`distribute-lft-out_binary64` `frac-times_binary64` `associate-r_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sqrt-prod_binary64` `*-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

10.0ms	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 a x)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x)))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x))))
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 1498 to 572 computations (61.8% saved)

series110.0ms (3.1%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

34.0ms	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 a x)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x)))))
26.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 a x))))
18.0ms	(exp.f64 (*.f64 a x))
16.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 1581 to 1138 computations (28% saved)

simplify125.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

655×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
606×	`distribute-lft-in_binary64`
284×	`times-frac_binary64`
275×	`*-commutative_binary64`
208×	`unswap-sqr_binary64`
207×	`associate-+l+_binary64`
172×	`associate-+r+_binary64`
136×	`cancel-sign-sub-inv_binary64`
130×	`exp-prod_binary64`
126×	`exp-sum_binary64`
119×	`sub-neg_binary64`
110×	`associate-r_binary64`
103×	`neg-sub0_binary64`
102×	`associate-l_binary64`
87×	`neg-mul-1_binary64`
84×	`sqr-pow_binary64`
79×	`exp-diff_binary64`
68×	`log-prod_binary64`
62×	`cube-prod_binary64`
60×	`distribute-lft-neg-out_binary64`
58×	`distribute-rgt-neg-out_binary64`
56×	`+-commutative_binary64`
53×	`associate-+l-_binary64`
45×	`distribute-rgt-out_binary64`
44×	`*-rgt-identity_binary64`
43×	`associate-+r-_binary64`
39×	`*-lft-identity_binary64`
23×	`mul-1-neg_binary64`
16×	`unpow3_binary64` `sqr-neg_binary64` `pow-sqr_binary64`
15×	`log-pow_binary64`
14×	`pow-plus_binary64` `cube-unmult_binary64`
13×	`swap-sqr_binary64`
12×	`rem-sqrt-square_binary64` `sub0-neg_binary64`
10×	`unpow1/2_binary64`
9×	`prod-exp_binary64` `exp-neg_binary64` `cube-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64`
8×	`fabs-mul_binary64` `associate--r+_binary64`
7×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
6×	`exp-to-pow_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`rem-log-exp_binary64` `associate--l-_binary64`
4×	`rem-exp-log_binary64` `--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
3×	`unpow2_binary64` `fabs-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64`
2×	`unpow1_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-neg_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-*r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--l+_binary64`

Counts

109 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2226
1	349	2083
2	1075	2029
3	3296	1740
4	4563	1740
5	5224	1740

prune39.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	63	3	66

Error

0.0b

Counts

66 → 3

Compiler

Compiled 1057 to 467 computations (55.8% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)
0.0b	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)
3.2b	(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3))
3.3b	(-.f64 (exp.f64 (.f64 a x)) (sqrt.f64 (exp.f64 (.f64 a x))))

rewrite136.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
17×	`sqrt-prod_binary64`
16×	`add-cube-cbrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-log-exp_binary64` `pow-pow_binary64`
8×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `pow-unpow_binary64` `sqrt-pow1_binary64`
2×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64` `pow1/2_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

7.0ms	(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3))
6.0ms	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)
5.0ms	(-.f64 (exp.f64 (.f64 a x)) (sqrt.f64 (exp.f64 (.f64 a x))))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)

Compiler

Compiled 4154 to 1554 computations (62.6% saved)

series159.0ms (4.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

40.0ms	(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3))
35.0ms	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)
35.0ms	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) 3)
31.0ms	(-.f64 (exp.f64 (.f64 a x)) (sqrt.f64 (exp.f64 (.f64 a x))))

Compiler

Compiled 3841 to 2011 computations (47.6% saved)

simplify168.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

592×	`log-prod_binary64`
485×	`exp-prod_binary64`
397×	`difference-of-squares_binary64`
375×	`cube-prod_binary64`
347×	`unswap-sqr_binary64`
272×	`*-commutative_binary64`
206×	`fabs-mul_binary64`
196×	`unpow3_binary64`
184×	`sqr-pow_binary64`
172×	`cancel-sign-sub-inv_binary64`
119×	`distribute-rgt-out_binary64`
118×	`unsub-neg_binary64`
116×	`swap-sqr_binary64`
110×	`sub-neg_binary64`
103×	`log-pow_binary64`
93×	`exp-sum_binary64`
92×	`distribute-rgt-in_binary64`
89×	`associate-r_binary64`
79×	`distribute-rgt-neg-in_binary64`
78×	`associate-l_binary64`
77×	`cube-mult_binary64`
73×	`distribute-lft-out_binary64`
70×	`distribute-lft-neg-in_binary64`
69×	`distribute-lft-in_binary64`
65×	`associate-+l+_binary64`
62×	`neg-mul-1_binary64`
60×	`neg-sub0_binary64`
58×	`+-commutative_binary64`
57×	`pow-sqr_binary64`
42×	`rem-sqrt-square_binary64`
40×	`associate-+r+_binary64`
39×	`pow-plus_binary64`
35×	`exp-diff_binary64` `difference-of-sqr--1_binary64`
28×	`distribute-lft-neg-out_binary64`
23×	`distribute-rgt-out--_binary64`
17×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
14×	`cube-unmult_binary64` `associate-+l-_binary64`
12×	`difference-of-sqr-1_binary64` `associate-+r-_binary64`
11×	`cube-neg_binary64` `fabs-sqr_binary64`
9×	`prod-exp_binary64` `times-frac_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
7×	`rem-exp-log_binary64` `distribute-lft1-in_binary64`
6×	`exp-to-pow_binary64` `remove-double-neg_binary64` `count-2_binary64`
5×	`unpow2_binary64` `rem-log-exp_binary64` `sqr-neg_binary64` `associate-/l*_binary64`
4×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `+-rgt-identity_binary64` `associate-r/_binary64`
3×	`unpow1_binary64` `rem-cbrt-cube_binary64` `associate-/l/_binary64` `associate--r-_binary64`
2×	`--rgt-identity_binary64` `associate--l-_binary64`
1×	`exp-lft-cube_binary64` `exp-lft-sqr_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `distribute-neg-in_binary64` `associate-/r/_binary64` `associate-*l/_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `div-sub_binary64` `/-rgt-identity_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-neg-out_binary64` `associate-/r_binary64` `associate--r+_binary64`

Counts

144 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	2249
1	319	2163
2	929	2028
3	2178	1994
4	3705	1991
5	4608	1991
6	4973	1991

prune53.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	111	3	114

Error

0.0b

Counts

114 → 3

Compiler

Compiled 2183 to 856 computations (60.8% saved)

regimes501.0ms (14.1%)

Accuracy

Total 0.5b remaining (93.3%)

Threshold costs 0.5b (93.3%)

Compiler

Compiled 5271 to 3550 computations (32.7% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `-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-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	30	75
1	44	75
2	45	75
3	43	75

end9.0ms (0.3%)

Remove: (sort a x)
Compiler: Compiled 147 to 87 computations (40.8% saved)

sample1.3s (35.8%)

Algorithm

1×

intervals

Results

389.0ms	1368×	body	2048	valid
250.0ms	1759×	body	1024	valid
91.0ms	1137×	body	512	valid
76.0ms	3141×	body	128	valid
30.0ms	595×	body	256	valid
4.0ms	146×	body	128	invalid

Compiler

Compiled 185 to 121 computations (34.6% saved)

Details

analyze150.0ms (4.2%)

sample42.0ms (1.2%)

simplify63.0ms (1.8%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite41.0ms (1.2%)

series42.0ms (1.2%)

simplify118.0ms (3.3%)

prune15.0ms (0.4%)

localize15.0ms (0.4%)

rewrite108.0ms (3%)

series153.0ms (4.3%)

simplify81.0ms (2.3%)

prune44.0ms (1.2%)

localize9.0ms (0.3%)

rewrite75.0ms (2.1%)

series110.0ms (3.1%)

simplify125.0ms (3.5%)

prune39.0ms (1.1%)

localize20.0ms (0.6%)

rewrite136.0ms (3.8%)

series159.0ms (4.5%)

simplify168.0ms (4.7%)

prune53.0ms (1.5%)

regimes501.0ms (14.1%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end9.0ms (0.3%)

sample1.3s (35.8%)

Profiling