Details

analyze1.8s (14.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

568×	`unswap-sqr_binary64`
433×	`sub-neg_binary64`
412×	`div-sub_binary64`
386×	`distribute-neg-frac_binary64`
354×	`distribute-rgt-neg-in_binary64`
328×	`associate-/l*_binary64`
264×	`distribute-lft-neg-in_binary64`
254×	`*-commutative_binary64`
231×	`unsub-neg_binary64`
208×	`associate-/r*_binary64`
194×	`neg-mul-1_binary64`
192×	`cancel-sign-sub-inv_binary64`
191×	`associate-l_binary64`
182×	`neg-sub0_binary64`
170×	`associate-r_binary64`
163×	`associate-/r/_binary64`
144×	`distribute-rgt-in_binary64`
128×	`distribute-lft-in_binary64`
116×	`associate-*r/_binary64`
96×	`associate-*l/_binary64`
68×	`distribute-lft-neg-out_binary64`
65×	`mul0-rgt_binary64` `mul0-lft_binary64`
64×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
55×	`remove-double-neg_binary64`
48×	`associate-/l/_binary64`
47×	`distribute-neg-in_binary64`
43×	`*-rgt-identity_binary64`
38×	`div0_binary64`
36×	`pow-plus_binary64`
33×	`*-lft-identity_binary64`
32×	`associate--r+_binary64`
24×	`associate-+l+_binary64`
22×	`sub0-neg_binary64` `associate-+l-_binary64`
20×	`unpow3_binary64` `cube-unmult_binary64` `cube-prod_binary64`
16×	`associate-+r+_binary64`
13×	`/-rgt-identity_binary64`
12×	`pow-sqr_binary64`
11×	`sqr-neg_binary64`
10×	`--rgt-identity_binary64`
8×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
6×	`tan-neg_binary64` `sin-neg_binary64` `swap-sqr_binary64`
4×	`unpow1_binary64` `cube-mult_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64` `associate-+r-_binary64`
3×	`distribute-rgt1-in_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` `cos-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-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-div_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` `times-frac_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	148
1	135	128
2	284	128
3	618	128
4	1384	128
5	3011	128
6	4044	128
7	4747	128
8	4990	128
9	4999	128
10	4785	128
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample95.0ms (0.8%)

Algorithm

1×

intervals

Results

42.0ms	66×	body	1024	valid
17.0ms	138×	body	128	valid
11.0ms	30×	body	512	valid
6.0ms	22×	body	256	valid
2.0ms	15×	body	128	invalid
0.0ms	5×	body	128	nan

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify225.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-neg-in_binary64`
851×	`associate-/l/_binary64`
781×	`sub-neg_binary64`
736×	`div-sub_binary64`
686×	`distribute-lft-neg-in_binary64`
650×	`cancel-sign-sub-inv_binary64`
646×	`distribute-rgt-in_binary64`
415×	`sqr-pow_binary64`
409×	`unsub-neg_binary64`
390×	`distribute-neg-frac_binary64`
357×	`neg-mul-1_binary64`
343×	`cube-prod_binary64`
330×	`neg-sub0_binary64`
288×	`associate-/l*_binary64`
244×	`unswap-sqr_binary64`
224×	`associate-/r*_binary64`
199×	`distribute-rgt-neg-out_binary64`
191×	`unpow3_binary64`
189×	`distribute-lft-neg-out_binary64`
184×	`pow-sqr_binary64`
182×	`associate-l_binary64`
180×	`associate-+l-_binary64`
150×	`*-commutative_binary64`
140×	`associate-r_binary64`
138×	`fabs-mul_binary64`
136×	`distribute-lft-in_binary64`
122×	`associate-/r/_binary64`
120×	`div0_binary64`
119×	`+-commutative_binary64`
118×	`mul0-lft_binary64`
114×	`associate-*l/_binary64`
111×	`cube-mult_binary64`
101×	`swap-sqr_binary64`
95×	`associate-*r/_binary64`
94×	`distribute-neg-in_binary64`
86×	`+-rgt-identity_binary64`
84×	`remove-double-neg_binary64`
72×	`pow-plus_binary64`
49×	`mul0-rgt_binary64`
39×	`fabs-sqr_binary64`
31×	`--rgt-identity_binary64`
27×	`sqr-neg_binary64`
26×	`rem-sqrt-square_binary64`
23×	`sub0-neg_binary64`
21×	`cancel-sign-sub_binary64`
17×	`*-rgt-identity_binary64` `distribute-frac-neg_binary64`
15×	`*-lft-identity_binary64`
14×	`associate--r+_binary64` `associate-+l+_binary64`
12×	`fabs-sub_binary64`
11×	`unpow2_binary64` `cube-unmult_binary64` `associate--l-_binary64`
10×	`unpow1_binary64` `associate--l+_binary64`
9×	`unpow1/2_binary64`
8×	`cube-neg_binary64`
6×	`distribute-lft-out--_binary64`
5×	`fabs-neg_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
4×	`associate-+r-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-out_binary64`
2×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `distribute-rgt1-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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	37
1	48	32
2	91	32
3	167	32
4	340	32
5	966	32
6	2349	32
7	3829	32
8	4128	32
9	4267	32
10	4587	32
11	4821	32
12	3214	32
13	4236	32
14	3641	32
15	4779	32
16	4957	32
17	4632	32

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.4b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 F (sin.f64 B))
0.1b	(/.f64 x (tan.f64 B))
6.8b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
18.2b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite253.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

11.9b

Rules

44×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
22×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `associate-/r_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-pow_binary64` `associate-l/_binary64` `-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 115

Calls

4 calls:

20.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
9.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
3.0ms	(/.f64 x (tan.f64 B))
3.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3318 to 1540 computations (53.6% saved)

series247.0ms (2%)

Error

0.1b

Counts

4 → 40

Calls

4 calls:

84.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
54.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
45.0ms	(/.f64 x (tan.f64 B))
26.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 2835 to 2115 computations (25.4% saved)

simplify161.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-/l*_binary64`
393×	`associate-*l/_binary64`
283×	`associate-*r/_binary64`
193×	`associate-/r*_binary64`
181×	`times-frac_binary64`
147×	`associate-/l/_binary64`
134×	`associate-l_binary64` `associate-r_binary64`
125×	`log-div_binary64` `cancel-sign-sub-inv_binary64`
119×	`*-commutative_binary64`
113×	`associate-/r/_binary64`
102×	`log-prod_binary64`
93×	`distribute-rgt-neg-in_binary64`
86×	`distribute-lft-neg-in_binary64`
69×	`sub-neg_binary64`
65×	`unswap-sqr_binary64`
64×	`sqr-pow_binary64`
54×	`exp-prod_binary64`
51×	`neg-sub0_binary64`
50×	`div-sub_binary64`
49×	`neg-mul-1_binary64` `distribute-neg-frac_binary64`
47×	`cube-div_binary64`
46×	`exp-sum_binary64`
43×	`distribute-rgt-in_binary64`
42×	`+-commutative_binary64`
41×	`cube-prod_binary64`
37×	`associate-+r-_binary64`
35×	`exp-diff_binary64`
33×	`distribute-lft-in_binary64`
31×	`associate-+l-_binary64`
30×	`associate-+l+_binary64`
24×	`*-rgt-identity_binary64`
23×	`distribute-neg-in_binary64` `associate-+r+_binary64`
21×	`associate--r+_binary64`
19×	`log-pow_binary64`
18×	`distribute-rgt-out_binary64`
15×	`log-rec_binary64` `unsub-neg_binary64`
13×	`unpow3_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
11×	`cube-unmult_binary64` `distribute-lft-out_binary64`
10×	`rem-exp-log_binary64` `fabs-mul_binary64` `distribute-lft-neg-out_binary64` `associate--l-_binary64`
9×	`cube-mult_binary64` `/-rgt-identity_binary64`
8×	`pow-sqr_binary64`
7×	`associate--r-_binary64` `associate--l+_binary64`
6×	`rem-sqrt-square_binary64`
5×	`prod-exp_binary64` `exp-neg_binary64`
4×	`pow-base-1_binary64` `div-exp_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64` `fabs-sqr_binary64`
2×	`unpow1_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

155 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	285	3328
1	635	3105
2	1745	3048
3	4480	3004
4	4892	3004
5	4929	3004

prune120.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	86	10	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	11	98

Error

0.0b

Counts

98 → 11

Compiler

Compiled 2386 to 1231 computations (48.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.2b	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
0.3b	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
18.2b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite184.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`add-cbrt-cube_binary64`
12×	`times-frac_binary64`
7×	`unpow-prod-down_binary64` `associate-r_binary64`
6×	`prod-exp_binary64` `associate-/r*_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`pow-pow_binary64` `*-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 93

Calls

4 calls:

10.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
10.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 2680 to 1408 computations (47.5% saved)

series246.0ms (2%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

83.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
41.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
40.0ms	(/.f64 x (tan.f64 B))
40.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))

Compiler

Compiled 2943 to 2244 computations (23.8% saved)

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
354×	`associate-/r*_binary64`
300×	`associate-/l/_binary64`
231×	`associate-/r/_binary64`
137×	`cancel-sign-sub-inv_binary64`
128×	`log-prod_binary64`
127×	`associate-r_binary64`
125×	`associate-l_binary64`
118×	`log-div_binary64` `distribute-rgt-neg-in_binary64`
115×	`associate-/l*_binary64`
113×	`distribute-lft-neg-in_binary64`
95×	`*-commutative_binary64`
86×	`sub-neg_binary64`
81×	`exp-prod_binary64`
75×	`cube-prod_binary64` `unswap-sqr_binary64`
70×	`associate-*l/_binary64`
64×	`sqr-pow_binary64`
57×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
55×	`cube-div_binary64`
54×	`neg-mul-1_binary64`
50×	`div-sub_binary64`
46×	`distribute-rgt-in_binary64`
45×	`exp-sum_binary64`
44×	`associate-*r/_binary64`
40×	`+-commutative_binary64`
34×	`distribute-lft-in_binary64`
28×	`*-rgt-identity_binary64`
22×	`distribute-neg-in_binary64`
20×	`*-lft-identity_binary64` `distribute-lft-out_binary64`
19×	`log-pow_binary64` `log-rec_binary64`
18×	`unpow3_binary64` `unsub-neg_binary64`
17×	`distribute-rgt-out_binary64`
16×	`exp-diff_binary64`
15×	`/-rgt-identity_binary64` `associate--r+_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
10×	`fabs-mul_binary64`
9×	`rem-exp-log_binary64` `distribute-lft-neg-out_binary64`
8×	`pow-sqr_binary64`
7×	`rem-sqrt-square_binary64` `associate--l+_binary64`
6×	`associate-+r+_binary64`
5×	`prod-exp_binary64` `exp-neg_binary64`
4×	`pow-base-1_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64` `div-exp_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64`
2×	`unpow1_binary64` `rec-exp_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

134 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	3031
1	593	2747
2	1798	2695
3	4445	2655
4	4944	2655
5	4965	2655

prune114.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Error

0.0b

Counts

105 → 10

Compiler

Compiled 2140 to 1194 computations (44.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.2b	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
0.3b	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
18.2b	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)

rewrite373.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

189×	`times-frac_binary64`
112×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
51×	`unpow-prod-down_binary64`
35×	`associate-/r*_binary64`
22×	`add-exp-log_binary64`
17×	`sqr-pow_binary64`
13×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
9×	`associate-/l*_binary64`
7×	`div-inv_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`associate-/r/_binary64`
1×	`pow-pow_binary64` `tan-quot_binary64`

Counts

4 → 210

Calls

4 calls:

14.0ms	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
10.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
6.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 7686 to 4026 computations (47.6% saved)

series285.0ms (2.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

82.0ms	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
69.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
41.0ms	(/.f64 x (tan.f64 B))
40.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)

Compiler

Compiled 3682 to 2662 computations (27.7% saved)

simplify321.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

301×	`cancel-sign-sub-inv_binary64`
280×	`associate-/r/_binary64`
221×	`*-commutative_binary64`
218×	`sub-neg_binary64`
216×	`associate-/l/_binary64` `associate-/l*_binary64`
201×	`associate-*l/_binary64`
187×	`associate-r_binary64`
179×	`neg-sub0_binary64`
176×	`neg-mul-1_binary64`
151×	`distribute-rgt-neg-in_binary64`
140×	`distribute-lft-neg-in_binary64`
121×	`sqr-pow_binary64`
112×	`associate-*r/_binary64`
105×	`associate-/r*_binary64`
97×	`unswap-sqr_binary64`
92×	`associate-l_binary64`
91×	`times-frac_binary64`
88×	`log-prod_binary64`
80×	`unsub-neg_binary64`
74×	`distribute-neg-frac_binary64`
67×	`distribute-rgt-in_binary64`
58×	`*-rgt-identity_binary64`
54×	`log-div_binary64` `+-commutative_binary64`
49×	`distribute-neg-in_binary64`
48×	`/-rgt-identity_binary64`
47×	`exp-sum_binary64`
45×	`distribute-lft-in_binary64`
43×	`exp-prod_binary64`
42×	`cube-prod_binary64`
41×	`div-sub_binary64`
37×	`associate--r+_binary64`
33×	`distribute-rgt-out_binary64`
32×	`distribute-lft-out_binary64`
26×	`cube-div_binary64`
24×	`associate--l+_binary64`
22×	`log-pow_binary64` `pow-sqr_binary64`
19×	`*-lft-identity_binary64`
18×	`associate-+l+_binary64`
16×	`exp-diff_binary64`
15×	`unpow3_binary64` `associate--l-_binary64`
14×	`fabs-mul_binary64`
13×	`associate-+r+_binary64`
11×	`cube-unmult_binary64` `swap-sqr_binary64`
10×	`rem-exp-log_binary64` `cube-mult_binary64` `distribute-lft-neg-out_binary64` `associate--r-_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`log-rec_binary64`
7×	`rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64`
5×	`exp-neg_binary64` `fabs-div_binary64`
4×	`pow-base-1_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `unpow1_binary64` `prod-exp_binary64` `fabs-sqr_binary64` `distribute-frac-neg_binary64`
2×	`unpow2_binary64` `div-exp_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_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` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_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` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64`

Counts

258 → 219

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	470	9262
1	1008	8867
2	3327	8674
3	4239	8626
4	4944	8626
5	4934	8626

prune250.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	219	10	229

Error

0.0b

Counts

229 → 10

Compiler

Compiled 6113 to 3180 computations (48% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
6.8b	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
18.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
18.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite284.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-l_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
11×	`unswap-sqr_binary64`
10×	`div-exp_binary64` `times-frac_binary64`
8×	`pow1_binary64` `associate-r_binary64`
7×	`cbrt-unprod_binary64` `swap-sqr_binary64`
6×	`pow-unpow_binary64`
4×	`add-log-exp_binary64`
2×	`pow-pow_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64` `div-inv_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`

Counts

4 → 136

Calls

4 calls:

21.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
16.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 5337 to 3015 computations (43.5% saved)

series255.0ms (2.1%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

84.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
46.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
44.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
31.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))

Compiler

Compiled 3905 to 2983 computations (23.6% saved)

simplify192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

377×	`associate-*l/_binary64`
342×	`associate-/l*_binary64`
272×	`associate-r_binary64`
239×	`associate-*r/_binary64`
168×	`unswap-sqr_binary64`
163×	`associate-l_binary64`
150×	`associate-/r*_binary64`
146×	`log-prod_binary64`
129×	`distribute-rgt-in_binary64` `*-commutative_binary64`
121×	`distribute-lft-in_binary64`
116×	`times-frac_binary64`
102×	`neg-mul-1_binary64`
89×	`exp-prod_binary64`
78×	`log-div_binary64`
76×	`sqr-pow_binary64`
72×	`distribute-rgt-neg-in_binary64`
71×	`cancel-sign-sub-inv_binary64`
66×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
58×	`associate-/r/_binary64` `associate-+l+_binary64`
56×	`distribute-neg-frac_binary64`
55×	`sub-neg_binary64`
43×	`neg-sub0_binary64`
42×	`cube-div_binary64`
40×	`+-commutative_binary64`
36×	`exp-sum_binary64`
34×	`fabs-mul_binary64` `div-sub_binary64`
27×	`log-pow_binary64` `swap-sqr_binary64`
26×	`associate-/l/_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
23×	`exp-diff_binary64`
22×	`*-rgt-identity_binary64`
21×	`unpow3_binary64`
20×	`associate--r+_binary64`
19×	`cube-unmult_binary64` `distribute-lft-out_binary64`
18×	`pow-sqr_binary64` `distribute-neg-in_binary64`
14×	`cube-mult_binary64`
13×	`pow-plus_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
12×	`unsub-neg_binary64`
11×	`*-lft-identity_binary64`
10×	`rem-sqrt-square_binary64`
8×	`distribute-lft-neg-out_binary64`
7×	`fabs-sqr_binary64` `associate--r-_binary64`
6×	`count-2_binary64`
5×	`rem-exp-log_binary64` `mul-1-neg_binary64`
4×	`pow-base-1_binary64` `exp-neg_binary64` `associate--l+_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `exp-to-pow_binary64`
2×	`unpow1_binary64` `distribute-rgt-neg-out_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_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` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

177 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	5054
1	567	4498
2	1843	4384
3	4431	4304
4	4888	4304
5	4935	4304

prune152.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	156	10	166

Error

0.0b

Counts

166 → 10

Compiler

Compiled 3359 to 1809 computations (46.1% saved)

regimes3.2s (26.2%)

Accuracy

Total 0.1b remaining (69.5%)

Threshold costs 0.1b (69.5%)

Compiler

Compiled 31400 to 24397 computations (22.3% saved)

bsearch102.0ms (0.8%)

Steps

Iters	Range		Point
6	147679911925978.78	1466596849061948.5	151256920982797.12
6	-1.348716526701402e+19	-31572655.848090004	-254472924.5700202

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-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	36	128
1	51	128
2	65	128
3	80	128
4	88	128
5	91	128
6	89	128

end2.0ms (0%)

Compiler: Compiled 83 to 39 computations (53% saved)

sample3.1s (25.4%)

Algorithm

1×

intervals

Results

1.3s	2231×	body	1024	valid
534.0ms	4133×	body	128	valid
400.0ms	1061×	body	512	valid
140.0ms	568×	body	256	valid
83.0ms	685×	body	128	invalid
11.0ms	117×	body	128	nan
7.0ms	7×	body	2048	valid
1.0ms	2×	body	512	invalid

Compiler

Compiled 349 to 259 computations (25.8% saved)

Details

analyze1.8s (14.9%)

sample95.0ms (0.8%)

simplify225.0ms (1.8%)

prune8.0ms (0.1%)

localize18.0ms (0.1%)

rewrite253.0ms (2.1%)

series247.0ms (2%)

simplify161.0ms (1.3%)

prune120.0ms (1%)

localize17.0ms (0.1%)

rewrite184.0ms (1.5%)

series246.0ms (2%)

simplify149.0ms (1.2%)

prune114.0ms (0.9%)

localize19.0ms (0.2%)

rewrite373.0ms (3%)

series285.0ms (2.3%)

simplify321.0ms (2.6%)

prune250.0ms (2%)

localize20.0ms (0.2%)

rewrite284.0ms (2.3%)

series255.0ms (2.1%)

simplify192.0ms (1.6%)

prune152.0ms (1.2%)

regimes3.2s (26.2%)

bsearch102.0ms (0.8%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.1s (25.4%)

Profiling