Details

analyze285.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1951×	`div-sub_binary64`
1001×	`sub-neg_binary64`
535×	`cancel-sign-sub-inv_binary64`
510×	`times-frac_binary64`
419×	`neg-mul-1_binary64`
404×	`distribute-rgt-neg-in_binary64`
394×	`distribute-rgt-neg-out_binary64`
369×	`*-commutative_binary64`
354×	`distribute-neg-frac_binary64`
353×	`distribute-frac-neg_binary64`
318×	`distribute-lft-neg-in_binary64`
280×	`associate-/r*_binary64`
252×	`associate-/l*_binary64`
247×	`neg-sub0_binary64`
243×	`distribute-lft-neg-out_binary64`
158×	`unsub-neg_binary64`
128×	`associate-r_binary64`
124×	`distribute-rgt-in_binary64`
118×	`associate--l-_binary64`
112×	`associate-*l/_binary64`
108×	`associate--r-_binary64`
105×	`associate--r+_binary64`
94×	`associate-*r/_binary64`
93×	`remove-double-neg_binary64`
92×	`associate-+r-_binary64`
89×	`+-commutative_binary64`
78×	`associate-/r/_binary64`
76×	`associate-l_binary64`
68×	`distribute-lft-in_binary64`
66×	`/-rgt-identity_binary64`
62×	`cancel-sign-sub_binary64`
46×	`associate--l+_binary64`
38×	`associate-+l-_binary64`
36×	`div0_binary64` `distribute-neg-in_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64`
25×	`+-rgt-identity_binary64`
22×	`associate-+r+_binary64`
21×	`sub0-neg_binary64`
20×	`*-lft-identity_binary64` `associate-/l/_binary64`
18×	`*-rgt-identity_binary64`
14×	`--rgt-identity_binary64`
12×	`distribute-neg-out_binary64` `distribute-lft-out_binary64`
8×	`distribute-rgt-out_binary64`
6×	`mul-1-neg_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64`
4×	`*-inverses_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
2×	`+-lft-identity_binary64` `distribute-lft1-in_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` `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` `+-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` `unswap-sqr_binary64` `swap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	68	26
3	142	26
4	239	26
5	460	26
6	835	26
7	2451	26
8	2673	26
9	2774	26
10	2885	26
11	2893	26
12	2949	26
13	2951	26
14	3355	26
15	3715	26
16	4027	26
17	4267	26
18	4555	26
19	4851	26
20	4768	26
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
50%	50%	0.1%	6
68.7%	31.2%	0.1%	7
81.2%	18.7%	0.1%	8
89%	10.9%	0.1%	9
92.1%	7.8%	0.1%	10
95.6%	4.3%	0.1%	11
96.4%	3.5%	0.1%	12
98%	1.9%	0.1%	13
98.2%	1.7%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify134.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

890×	`div-sub_binary64`
546×	`times-frac_binary64`
503×	`sub-neg_binary64`
395×	`neg-sub0_binary64`
385×	`neg-mul-1_binary64`
353×	`distribute-neg-frac_binary64`
330×	`distribute-lft-neg-out_binary64`
291×	`unsub-neg_binary64`
288×	`associate-/l*_binary64`
257×	`associate-/r*_binary64`
248×	`associate-*l/_binary64`
214×	`distribute-rgt-in_binary64`
212×	`distribute-frac-neg_binary64`
195×	`associate--r+_binary64`
190×	`associate-l_binary64`
188×	`associate-r_binary64`
186×	`distribute-rgt-neg-in_binary64`
177×	`+-commutative_binary64`
173×	`associate-/r/_binary64`
161×	`distribute-lft-neg-in_binary64`
158×	`associate-*r/_binary64`
150×	`distribute-lft-in_binary64`
148×	`remove-double-neg_binary64`
102×	`associate-/l/_binary64`
99×	`distribute-rgt-neg-out_binary64`
83×	`swap-sqr_binary64`
78×	`associate-+l-_binary64`
77×	`distribute-neg-in_binary64`
64×	`associate--r-_binary64` `*-commutative_binary64`
62×	`unswap-sqr_binary64`
61×	`cancel-sign-sub-inv_binary64`
54×	`associate--l-_binary64`
52×	`associate-+r-_binary64`
48×	`associate--l+_binary64`
44×	`distribute-rgt-out--_binary64`
36×	`mul0-rgt_binary64`
34×	`--rgt-identity_binary64`
30×	`sqr-neg_binary64`
28×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64`
27×	`mul0-lft_binary64`
26×	`*-lft-identity_binary64` `+-lft-identity_binary64`
25×	`*-rgt-identity_binary64` `distribute-neg-out_binary64`
23×	`sub0-neg_binary64`
22×	`distribute-lft-out_binary64`
20×	`div0_binary64`
17×	`+-rgt-identity_binary64`
16×	`remove-double-div_binary64` `distribute-rgt-out_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l+_binary64`
8×	`lft-mult-inverse_binary64` `distribute-rgt1-in_binary64`
5×	`associate-+r+_binary64`
4×	`*-inverses_binary64`
3×	`cancel-sign-sub_binary64` `distribute-lft1-in_binary64`
2×	`rgt-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	80	13
4	151	13
5	244	13
6	386	13
7	990	13
8	2799	13
9	3328	13
10	3729	13
11	3928	13
12	4147	13
13	4322	13
14	4853	13

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

15.2b

Counts

1 → 1

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.9b

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`times-frac_binary64` `associate-/r*_binary64`
3×	`prod-exp_binary64` `div-exp_binary64` `add-cube-cbrt_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64`

Counts

1 → 29

Calls

1 calls:

8.0ms

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 466 to 221 computations (52.6% saved)

series37.0ms (1%)

Error

0.8b

Counts

1 → 15

Calls

1 calls:

31.0ms

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 359 to 315 computations (12.3% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-l_binary64`
453×	`associate-r_binary64`
436×	`associate-*l/_binary64`
421×	`associate-/l/_binary64`
368×	`associate-/r*_binary64`
294×	`associate-*r/_binary64`
247×	`associate-/r/_binary64`
146×	`div-sub_binary64`
111×	`associate-/l*_binary64`
96×	`log-div_binary64`
92×	`cube-div_binary64`
76×	`log-prod_binary64`
73×	`cube-prod_binary64`
67×	`times-frac_binary64`
42×	`*-commutative_binary64`
30×	`sub-neg_binary64`
28×	`distribute-lft-neg-in_binary64` `distribute-rgt-in_binary64`
27×	`distribute-lft-in_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`unswap-sqr_binary64`
22×	`distribute-neg-frac_binary64`
20×	`+-commutative_binary64`
19×	`cancel-sign-sub-inv_binary64`
18×	`unpow3_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
16×	`cube-mult_binary64`
14×	`*-rgt-identity_binary64`
12×	`swap-sqr_binary64`
9×	`associate-+l+_binary64`
8×	`exp-prod_binary64` `cube-unmult_binary64`
7×	`distribute-neg-in_binary64`
6×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
5×	`log-rec_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
4×	`log-pow_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64` `associate-+r+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `*-inverses_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `remove-double-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-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

44 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	762
1	258	637
2	1087	634
3	4288	634
4	5023	634

prune19.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Error

0.0b

Counts

32 → 3

Compiler

Compiled 288 to 157 computations (45.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.2b	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

rewrite129.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

96×	`add-sqr-sqrt_binary64`
95×	`times-frac_binary64`
76×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out--_binary64`
20×	`difference-of-squares_binary64`
13×	`cancel-sign-sub-inv_binary64`
12×	`div-inv_binary64` `associate-/r*_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

2 → 104

Calls

2 calls:

14.0ms	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
14.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 1908 to 1537 computations (19.4% saved)

series60.0ms (1.6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

29.0ms	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
25.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 568 to 526 computations (7.4% saved)

simplify139.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-l_binary64`
310×	`cancel-sign-sub-inv_binary64`
289×	`associate-*l/_binary64`
286×	`associate-/l_binary64` `associate-r*_binary64`
228×	`associate-*r/_binary64`
222×	`exp-prod_binary64`
190×	`div-sub_binary64`
175×	`times-frac_binary64`
173×	`associate-/r*_binary64`
158×	`*-commutative_binary64`
135×	`sub-neg_binary64`
124×	`associate-/l/_binary64`
86×	`associate-/r/_binary64`
80×	`neg-sub0_binary64`
74×	`exp-diff_binary64` `neg-mul-1_binary64`
73×	`unswap-sqr_binary64`
72×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
71×	`distribute-neg-frac_binary64`
69×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
67×	`unsub-neg_binary64`
64×	`distribute-lft-in_binary64`
62×	`cube-prod_binary64`
61×	`unpow3_binary64`
53×	`distribute-lft-neg-in_binary64`
51×	`+-commutative_binary64`
44×	`cube-div_binary64`
43×	`*-rgt-identity_binary64`
35×	`distribute-rgt-out_binary64`
30×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
29×	`*-lft-identity_binary64`
22×	`distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
20×	`distribute-lft-out_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate-+l-_binary64` `associate-+l+_binary64`
15×	`distribute-frac-neg_binary64` `associate-+r+_binary64`
14×	`sub0-neg_binary64` `+-rgt-identity_binary64`
13×	`cube-unmult_binary64`
12×	`div0_binary64` `difference-of-squares_binary64`
10×	`pow-plus_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64`
9×	`log-div_binary64`
8×	`cube-mult_binary64`
7×	`unpow1/2_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
5×	`log-prod_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
4×	`remove-double-div_binary64`
3×	`distribute-lft-out--_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `count-2_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-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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

131 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2354
1	437	2243
2	1198	2235
3	3573	2235
4	4765	2235
5	4918	2235

prune37.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Error

0.0b

Counts

89 → 4

Compiler

Compiled 729 to 559 computations (23.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (sqrt.f64 1/2) y)
0.5b	(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
0.5b	(/.f64 (sqrt.f64 1/2) x)
1.0b	(/.f64 1 (sqrt.f64 1/2))

rewrite319.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

244×	`times-frac_binary64`
243×	`add-sqr-sqrt_binary64`
165×	`*-un-lft-identity_binary64`
100×	`add-cube-cbrt_binary64`
93×	`sqrt-prod_binary64`
73×	`associate-r_binary64`
52×	`add-exp-log_binary64`
30×	`distribute-lft-out--_binary64`
27×	`difference-of-squares_binary64`
22×	`add-cbrt-cube_binary64` `associate-l_binary64`
20×	`div-exp_binary64`
16×	`prod-exp_binary64`
15×	`associate-/l*_binary64` `unswap-sqr_binary64`
12×	`associate-/r*_binary64`
11×	`div-inv_binary64`
10×	`pow1_binary64`
9×	`1-exp_binary64` `rec-exp_binary64`
7×	`cbrt-undiv_binary64`
5×	`pow-flip_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`inv-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `frac-times_binary64` `un-div-inv_binary64` `associate-l/_binary64` `associate-r/_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 268

Calls

4 calls:

65.0ms	(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
7.0ms	(/.f64 1 (sqrt.f64 1/2))
4.0ms	(/.f64 (sqrt.f64 1/2) y)
4.0ms	(/.f64 (sqrt.f64 1/2) x)

Compiler

Compiled 5470 to 4804 computations (12.2% saved)

series73.0ms (2%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

49.0ms	(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
9.0ms	(/.f64 (sqrt.f64 1/2) y)
9.0ms	(/.f64 (sqrt.f64 1/2) x)
0.0ms	(/.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 746 to 700 computations (6.2% saved)

simplify319.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

606×	`times-frac_binary64`
403×	`associate-/l/_binary64`
344×	`associate-/r*_binary64`
330×	`associate-*l/_binary64`
281×	`associate-*r/_binary64`
246×	`associate-/r/_binary64`
223×	`distribute-rgt-in_binary64`
199×	`associate-l_binary64`
195×	`associate-r_binary64`
194×	`*-commutative_binary64`
178×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
158×	`associate-/l*_binary64`
143×	`div-sub_binary64`
125×	`unswap-sqr_binary64`
102×	`distribute-rgt-neg-in_binary64`
90×	`distribute-lft-neg-in_binary64`
87×	`sub-neg_binary64`
67×	`distribute-neg-frac_binary64`
63×	`cube-prod_binary64`
60×	`log-prod_binary64`
59×	`sqr-pow_binary64`
57×	`*-lft-identity_binary64`
51×	`*-rgt-identity_binary64`
43×	`cube-div_binary64`
42×	`log-div_binary64`
40×	`neg-sub0_binary64`
37×	`unpow3_binary64`
34×	`associate-+r-_binary64`
31×	`distribute-lft-in_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`distribute-neg-in_binary64` `associate-+l-_binary64`
27×	`distribute-rgt-out--_binary64` `+-commutative_binary64`
26×	`distribute-rgt-neg-out_binary64`
25×	`/-rgt-identity_binary64`
24×	`difference-of-squares_binary64`
23×	`swap-sqr_binary64`
22×	`unsub-neg_binary64` `associate-+r+_binary64`
21×	`cube-mult_binary64` `distribute-rgt-out_binary64`
20×	`exp-prod_binary64`
18×	`cube-unmult_binary64`
15×	`fabs-mul_binary64` `rem-sqrt-square_binary64`
12×	`log-pow_binary64` `pow-plus_binary64` `distribute-lft-out--_binary64`
11×	`sub0-neg_binary64` `distribute-lft-out_binary64`
10×	`+-rgt-identity_binary64`
8×	`log-rec_binary64`
7×	`pow-sqr_binary64` `associate--r+_binary64`
6×	`unpow1/2_binary64` `fabs-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
5×	`associate--l-_binary64` `associate-+l+_binary64`
4×	`fabs-div_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
2×	`sqr-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `remove-double-div_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`

Counts

289 → 214

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	5781
1	632	5352
2	1572	4926
3	3540	4869
4	4862	4869
5	4660	4869
6	4993	4869
7	4936	4869

prune110.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	213	5	218

Error

Counts

218 → 5

Compiler

Compiled 2536 to 2191 computations (13.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x)))
0.4b	(/.f64 (sqrt.f64 1/2) y)
0.5b	(*.f64 (pow.f64 1/2 -1/2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
0.5b	(/.f64 (sqrt.f64 1/2) x)

rewrite387.0ms (10.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

373×	`add-sqr-sqrt_binary64`
370×	`times-frac_binary64`
246×	`*-un-lft-identity_binary64`
122×	`sqrt-prod_binary64`
117×	`add-cube-cbrt_binary64`
73×	`associate-r_binary64`
70×	`distribute-lft-out--_binary64`
63×	`difference-of-squares_binary64`
35×	`add-exp-log_binary64`
28×	`associate-/r*_binary64`
18×	`div-inv_binary64`
15×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
12×	`prod-exp_binary64`
10×	`div-exp_binary64`
9×	`unswap-sqr_binary64`
7×	`associate-l_binary64`
6×	`unpow-prod-down_binary64` `associate-/r/_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `1-exp_binary64` `pow-to-exp_binary64` `rec-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64`
2×	`cbrt-unprod_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64`
1×	`un-div-inv_binary64` `associate-r/_binary64` `-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 301

Calls

4 calls:

50.0ms	(*.f64 (pow.f64 1/2 -1/2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
28.0ms	(/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x)))
4.0ms	(/.f64 (sqrt.f64 1/2) x)
4.0ms	(/.f64 (sqrt.f64 1/2) y)

Compiler

Compiled 5816 to 5027 computations (13.6% saved)

series119.0ms (3.3%)

Error

Counts

4 → 36

Calls

4 calls:

49.0ms	(*.f64 (pow.f64 1/2 -1/2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x))))
40.0ms	(/.f64 1 (-.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x)))
9.0ms	(/.f64 (sqrt.f64 1/2) x)
9.0ms	(/.f64 (sqrt.f64 1/2) y)

Compiler

Compiled 1318 to 1226 computations (7% saved)

simplify365.0ms (10%)

Algorithm

1×	egg-herbie

Rules

521×	`times-frac_binary64`
369×	`*-commutative_binary64`
353×	`associate-*l/_binary64`
339×	`associate-/r*_binary64`
281×	`associate-*r/_binary64`
255×	`associate-/l/_binary64`
210×	`associate-/r/_binary64`
179×	`cancel-sign-sub-inv_binary64`
153×	`div-sub_binary64`
151×	`sub-neg_binary64`
149×	`associate-/l*_binary64`
142×	`associate-l_binary64`
106×	`associate-r_binary64`
104×	`unswap-sqr_binary64`
92×	`*-rgt-identity_binary64`
79×	`log-prod_binary64` `sqr-pow_binary64`
62×	`exp-prod_binary64`
61×	`neg-sub0_binary64`
60×	`cube-prod_binary64`
58×	`neg-mul-1_binary64`
56×	`distribute-neg-frac_binary64`
51×	`+-commutative_binary64`
44×	`*-lft-identity_binary64`
41×	`log-div_binary64`
39×	`cube-div_binary64`
38×	`distribute-rgt-neg-in_binary64`
34×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
32×	`associate-+r-_binary64`
30×	`distribute-rgt-in_binary64`
26×	`associate-+l-_binary64`
25×	`/-rgt-identity_binary64` `distribute-lft-in_binary64`
23×	`cube-mult_binary64`
22×	`unsub-neg_binary64`
20×	`sub0-neg_binary64` `+-rgt-identity_binary64`
19×	`log-pow_binary64` `associate-+r+_binary64`
17×	`swap-sqr_binary64`
14×	`fabs-mul_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
12×	`associate-+l+_binary64`
11×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
8×	`pow-sqr_binary64` `associate--r+_binary64`
7×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
6×	`unpow1/2_binary64` `exp-sum_binary64` `distribute-lft-out_binary64`
5×	`pow-plus_binary64` `fabs-sqr_binary64`
4×	`cube-neg_binary64` `mul-1-neg_binary64` `associate--l-_binary64`
3×	`+-lft-identity_binary64` `div0_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_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-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

337 → 246

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	7949
1	640	7676
2	1817	7505
3	3911	7505
4	4812	7505
5	4951	7505
6	4906	7505

prune121.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	246	5	251

Error

Counts

251 → 5

Compiler

Compiled 2709 to 2298 computations (15.2% saved)

regimes289.0ms (7.9%)

Accuracy

Total 0.1b remaining (98.8%)

Threshold costs 0.1b (98.8%)

Compiler

Compiled 3296 to 2804 computations (14.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64` `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` `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` `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-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	13	20
1	18	20
2	24	20
3	28	20
4	31	20
5	32	20
6	31	20

end1.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

sample566.0ms (15.5%)

Algorithm

1×

intervals

Results

221.0ms

8000×

body

128

valid

Compiler

Compiled 116 to 99 computations (14.7% saved)

Details

analyze285.0ms (7.8%)

sample15.0ms (0.4%)

simplify134.0ms (3.7%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite41.0ms (1.1%)

series37.0ms (1%)

simplify62.0ms (1.7%)

prune19.0ms (0.5%)

localize6.0ms (0.2%)

rewrite129.0ms (3.5%)

series60.0ms (1.6%)

simplify139.0ms (3.8%)

prune37.0ms (1%)

localize10.0ms (0.3%)

rewrite319.0ms (8.7%)

series73.0ms (2%)

simplify319.0ms (8.7%)

prune110.0ms (3%)

localize10.0ms (0.3%)

rewrite387.0ms (10.6%)

series119.0ms (3.3%)

simplify365.0ms (10%)

prune121.0ms (3.3%)

regimes289.0ms (7.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample566.0ms (15.5%)

Profiling