Details

analyze791.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

924×	`unswap-sqr_binary64`
430×	`associate-/l*_binary64`
362×	`exp-prod_binary64`
296×	`*-commutative_binary64`
278×	`sqr-pow_binary64`
264×	`associate-/r*_binary64`
222×	`associate-/l/_binary64`
209×	`associate-/r/_binary64`
201×	`pow-sqr_binary64`
198×	`prod-exp_binary64`
179×	`associate-l_binary64`
172×	`rec-exp_binary64`
168×	`distribute-neg-frac_binary64`
165×	`distribute-rgt-in_binary64`
160×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
152×	`div-sub_binary64`
126×	`associate-r_binary64`
103×	`rem-sqrt-square_binary64`
92×	`div-exp_binary64`
89×	`distribute-lft-neg-in_binary64`
81×	`cube-prod_binary64` `distribute-rgt-out_binary64`
80×	`pow-plus_binary64`
72×	`associate-*l/_binary64`
69×	`associate-*r/_binary64`
62×	`unpow3_binary64`
61×	`cancel-sign-sub-inv_binary64`
44×	`exp-diff_binary64`
43×	`*-lft-identity_binary64`
41×	`neg-mul-1_binary64`
39×	`exp-sum_binary64` `sub-neg_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`neg-sub0_binary64`
34×	`distribute-neg-in_binary64`
33×	`distribute-rgt-neg-out_binary64`
29×	`exp-sqrt_binary64`
26×	`cube-mult_binary64` `distribute-lft-in_binary64`
24×	`/-rgt-identity_binary64`
23×	`distribute-rgt-out--_binary64`
17×	`exp-lft-sqr_binary64` `distribute-frac-neg_binary64`
15×	`associate-+l-_binary64`
14×	`cube-unmult_binary64`
13×	`unpow1_binary64`
12×	`remove-double-neg_binary64`
11×	`unpow2_binary64` `unpow1/2_binary64` `associate--r+_binary64`
10×	`cube-div_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
7×	`+-rgt-identity_binary64`
6×	`times-frac_binary64` `+-commutative_binary64`
5×	`distribute-rgt1-in_binary64`
2×	`unpow-1_binary64` `exp-lft-cube_binary64` `remove-double-div_binary64` `distribute-lft1-in_binary64`
1×	`cos-neg_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	17
2	25	15
3	36	15
4	57	15
5	101	15
6	202	15
7	431	15
8	694	15
9	1973	15
10	2876	15
11	3314	15
12	3755	15
13	4466	15
14	4884	15
15	4785	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample214.0ms (2.4%)

Algorithm

1×

intervals

Results

101.0ms	57×	body	8192	exit
51.0ms	135×	body	1024	valid
12.0ms	47×	body	1024	nan
12.0ms	51×	body	512	valid
7.0ms	38×	body	512	nan
5.0ms	34×	body	256	valid
4.0ms	6×	body	2048	valid
2.0ms	30×	body	128	valid
1.0ms	12×	body	256	nan
1.0ms	16×	body	128	nan

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

924×	`unswap-sqr_binary64`
430×	`associate-/l*_binary64`
362×	`exp-prod_binary64`
296×	`*-commutative_binary64`
278×	`sqr-pow_binary64`
264×	`associate-/r*_binary64`
222×	`associate-/l/_binary64`
209×	`associate-/r/_binary64`
201×	`pow-sqr_binary64`
198×	`prod-exp_binary64`
179×	`associate-l_binary64`
172×	`rec-exp_binary64`
168×	`distribute-neg-frac_binary64`
165×	`distribute-rgt-in_binary64`
160×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
152×	`div-sub_binary64`
126×	`associate-r_binary64`
103×	`rem-sqrt-square_binary64`
92×	`div-exp_binary64`
89×	`distribute-lft-neg-in_binary64`
81×	`cube-prod_binary64` `distribute-rgt-out_binary64`
80×	`pow-plus_binary64`
72×	`associate-*l/_binary64`
69×	`associate-*r/_binary64`
62×	`unpow3_binary64`
61×	`cancel-sign-sub-inv_binary64`
44×	`exp-diff_binary64`
43×	`*-lft-identity_binary64`
41×	`neg-mul-1_binary64`
39×	`exp-sum_binary64` `sub-neg_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`neg-sub0_binary64`
34×	`distribute-neg-in_binary64`
33×	`distribute-rgt-neg-out_binary64`
29×	`exp-sqrt_binary64`
26×	`cube-mult_binary64` `distribute-lft-in_binary64`
24×	`/-rgt-identity_binary64`
23×	`distribute-rgt-out--_binary64`
17×	`exp-lft-sqr_binary64` `distribute-frac-neg_binary64`
15×	`associate-+l-_binary64`
14×	`cube-unmult_binary64`
13×	`unpow1_binary64`
12×	`remove-double-neg_binary64`
11×	`unpow2_binary64` `unpow1/2_binary64` `associate--r+_binary64`
10×	`cube-div_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
7×	`+-rgt-identity_binary64`
6×	`times-frac_binary64` `+-commutative_binary64`
5×	`distribute-rgt1-in_binary64`
2×	`unpow-1_binary64` `exp-lft-cube_binary64` `remove-double-div_binary64` `distribute-lft1-in_binary64`
1×	`cos-neg_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	17
2	25	15
3	36	15
4	57	15
5	101	15
6	202	15
7	431	15
8	694	15
9	1973	15
10	2876	15
11	3314	15
12	3755	15
13	4466	15
14	4884	15
15	4785	15

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

60.1b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

Rules

13×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-exp-log_binary64`
3×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64` `sqrt-prod_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

3 → 47

Calls

3 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 772 to 159 computations (79.4% saved)

series34.0ms (0.4%)

Error

60.1b

Counts

3 → 13

Calls

3 calls:

12.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.0ms	(sqrt.f64 (cos.f64 x))
5.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 374 to 197 computations (47.3% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

603×	`div-sub_binary64`
527×	`distribute-rgt-neg-in_binary64`
434×	`distribute-lft-neg-in_binary64`
337×	`cancel-sign-sub-inv_binary64`
330×	`associate-l_binary64`
302×	`associate-r_binary64`
283×	`associate-/l*_binary64`
272×	`distribute-rgt-out--_binary64`
183×	`associate-/l/_binary64`
178×	`distribute-neg-frac_binary64`
169×	`sub-neg_binary64`
114×	`associate-/r*_binary64`
106×	`*-commutative_binary64`
89×	`associate-*l/_binary64`
86×	`distribute-neg-in_binary64`
81×	`associate-/r/_binary64`
74×	`unswap-sqr_binary64`
73×	`distribute-lft-neg-out_binary64`
71×	`neg-mul-1_binary64`
66×	`neg-sub0_binary64`
64×	`exp-prod_binary64`
63×	`associate-*r/_binary64`
61×	`times-frac_binary64`
49×	`associate-+l-_binary64`
46×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
42×	`distribute-rgt-out_binary64`
40×	`sqr-pow_binary64`
33×	`+-commutative_binary64`
32×	`associate--l+_binary64` `associate-+l+_binary64`
30×	`cube-prod_binary64`
26×	`distribute-lft-out_binary64`
25×	`distribute-lft-out--_binary64`
24×	`*-lft-identity_binary64` `sub0-neg_binary64`
20×	`associate-+r-_binary64`
19×	`exp-sum_binary64` `distribute-rgt-in_binary64`
18×	`associate-+r+_binary64`
16×	`distribute-lft-in_binary64`
14×	`*-rgt-identity_binary64` `+-rgt-identity_binary64` `associate--l-_binary64` `associate--r+_binary64`
13×	`distribute-rgt1-in_binary64`
12×	`pow-plus_binary64` `exp-diff_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
11×	`log-prod_binary64` `remove-double-neg_binary64`
9×	`mul0-rgt_binary64` `mul0-lft_binary64`
8×	`cancel-sign-sub_binary64`
7×	`log-pow_binary64` `unpow3_binary64`
6×	`log-div_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64`
5×	`exp-to-pow_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
4×	`cube-div_binary64` `associate--r-_binary64`
3×	`prod-exp_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`cube-mult_binary64` `div0_binary64` `difference-of-sqr-1_binary64`
1×	`cos-neg_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-square-sqrt_binary64` `mul-1-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` `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` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64`

Counts

60 → 17

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	1153
1	169	1031
2	363	1016
3	859	1005
4	2793	1002
5	4483	1002
6	5246	1002

prune21.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Error

60.1b

Counts

18 → 3

Compiler

Compiled 263 to 98 computations (62.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite96.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

Rules

32×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
27×	`times-frac_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `sqrt-prod_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow1/3_binary64` `cube-div_binary64` `cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64`

Counts

4 → 89

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1646 to 507 computations (69.2% saved)

series54.0ms (0.6%)

Error

60.1b

Counts

4 → 19

Calls

4 calls:

13.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
12.0ms	(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
8.0ms	(sqrt.f64 (cos.f64 x))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 683 to 369 computations (46% saved)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

730×	`times-frac_binary64`
506×	`associate-/l*_binary64`
460×	`associate-*l/_binary64`
380×	`associate-*r/_binary64`
285×	`associate-/r*_binary64`
210×	`associate-/l/_binary64`
148×	`sqr-pow_binary64`
144×	`log-div_binary64`
113×	`unswap-sqr_binary64`
111×	`associate-/r/_binary64`
101×	`cube-div_binary64`
66×	`swap-sqr_binary64`
61×	`log-prod_binary64`
58×	`cube-prod_binary64`
57×	`cancel-sign-sub-inv_binary64`
43×	`exp-prod_binary64`
41×	`unpow3_binary64`
36×	`distribute-rgt-neg-in_binary64`
35×	`cube-mult_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
34×	`neg-sub0_binary64`
33×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
23×	`rem-sqrt-square_binary64`
22×	`rem-cbrt-cube_binary64`
18×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
17×	`pow-sqr_binary64`
16×	`*-rgt-identity_binary64`
15×	`pow-plus_binary64`
14×	`*-commutative_binary64`
13×	`log-pow_binary64`
11×	`unsub-neg_binary64`
10×	`cube-unmult_binary64`
9×	`distribute-rgt-out_binary64` `+-commutative_binary64`
8×	`difference-of-squares_binary64`
6×	`prod-exp_binary64` `associate--l+_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`log-rec_binary64` `div-exp_binary64` `rec-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
3×	`exp-sum_binary64` `rem-cube-cbrt_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-in_binary64` `count-2_binary64`
2×	`div-sub_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-+l+_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-lft-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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

108 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2543
1	340	2318
2	949	2230
3	4318	2230
4	4934	2230
5	4970	2230

prune55.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Error

60.1b

Counts

66 → 3

Compiler

Compiled 803 to 270 computations (66.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite95.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

Rules

20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
8×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 68

Calls

4 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
0.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 2214 to 447 computations (79.8% saved)

series54.0ms (0.6%)

Error

60.1b

Counts

4 → 18

Calls

4 calls:

15.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
14.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1104 to 455 computations (58.8% saved)

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

603×	`div-sub_binary64`
504×	`distribute-rgt-neg-in_binary64`
417×	`distribute-lft-neg-in_binary64`
325×	`cancel-sign-sub-inv_binary64`
296×	`associate-l_binary64`
283×	`associate-/l*_binary64`
273×	`associate-r_binary64`
272×	`distribute-rgt-out--_binary64`
237×	`distribute-rgt-out_binary64`
183×	`associate-/l/_binary64`
179×	`distribute-neg-frac_binary64`
164×	`sub-neg_binary64`
114×	`associate-/r*_binary64`
89×	`associate-*l/_binary64`
88×	`*-commutative_binary64`
86×	`distribute-neg-in_binary64`
81×	`associate-/r/_binary64`
74×	`unswap-sqr_binary64`
70×	`exp-prod_binary64`
69×	`distribute-lft-neg-out_binary64`
66×	`neg-mul-1_binary64`
63×	`associate-*r/_binary64`
62×	`neg-sub0_binary64`
61×	`times-frac_binary64`
48×	`associate-+l-_binary64`
44×	`unsub-neg_binary64`
42×	`distribute-rgt-neg-out_binary64`
37×	`sqr-pow_binary64`
32×	`associate--l+_binary64`
31×	`associate-+l+_binary64` `+-commutative_binary64`
30×	`cube-prod_binary64`
26×	`distribute-lft-out_binary64`
25×	`distribute-lft-out--_binary64`
24×	`*-lft-identity_binary64`
23×	`sub0-neg_binary64`
20×	`associate-+r-_binary64`
19×	`exp-sum_binary64`
18×	`distribute-rgt-in_binary64` `associate-+r+_binary64`
15×	`distribute-lft-in_binary64`
14×	`*-rgt-identity_binary64` `+-rgt-identity_binary64` `associate--l-_binary64` `associate--r+_binary64`
13×	`distribute-rgt1-in_binary64`
12×	`pow-plus_binary64` `exp-diff_binary64` `/-rgt-identity_binary64`
11×	`log-prod_binary64` `cube-unmult_binary64` `remove-double-neg_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64`
7×	`log-pow_binary64` `unpow3_binary64`
6×	`log-div_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64`
5×	`exp-to-pow_binary64` `--rgt-identity_binary64`
4×	`cube-div_binary64` `associate--r-_binary64`
3×	`prod-exp_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`cube-mult_binary64` `div0_binary64` `difference-of-sqr-1_binary64`
1×	`cos-neg_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-exp-log_binary64` `mul-1-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` `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` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64`

Counts

86 → 24

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	2072
1	144	1832
2	325	1802
3	790	1780
4	2645	1774
5	4689	1774
6	5463	1774

prune30.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Error

60.1b

Counts

27 → 3

Compiler

Compiled 651 to 196 computations (69.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
0.2b	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
5.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite191.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

60.1b

Rules

84×	`sqrt-prod_binary64`
72×	`times-frac_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 136

Calls

4 calls:

6.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
6.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
0.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 3800 to 397 computations (89.6% saved)

series57.0ms (0.6%)

Error

60.1b

Counts

4 → 18

Calls

4 calls:

17.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
16.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1135 to 404 computations (64.4% saved)

simplify238.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

578×	`distribute-rgt-neg-in_binary64`
500×	`div-sub_binary64`
468×	`distribute-lft-neg-in_binary64`
367×	`cancel-sign-sub-inv_binary64`
339×	`associate-l_binary64`
321×	`associate-/l*_binary64`
297×	`associate-r_binary64`
283×	`distribute-rgt-out--_binary64`
218×	`distribute-neg-frac_binary64`
195×	`associate-/l/_binary64`
183×	`sub-neg_binary64`
137×	`associate-/r*_binary64`
107×	`distribute-neg-in_binary64`
106×	`*-commutative_binary64`
95×	`associate-*l/_binary64`
82×	`associate-/r/_binary64`
78×	`neg-mul-1_binary64`
74×	`neg-sub0_binary64`
73×	`unswap-sqr_binary64`
71×	`distribute-lft-neg-out_binary64`
67×	`associate-*r/_binary64`
63×	`times-frac_binary64`
49×	`distribute-rgt-out_binary64`
48×	`associate-+l-_binary64`
44×	`distribute-rgt-neg-out_binary64`
36×	`sqr-pow_binary64`
34×	`+-commutative_binary64`
32×	`associate--l+_binary64`
31×	`unsub-neg_binary64`
30×	`associate-+l+_binary64`
29×	`distribute-lft-out--_binary64`
25×	`*-lft-identity_binary64`
23×	`exp-prod_binary64`
21×	`cube-prod_binary64`
20×	`sub0-neg_binary64`
19×	`distribute-lft-out_binary64` `associate--l-_binary64` `associate-+r-_binary64`
16×	`pow-plus_binary64` `*-rgt-identity_binary64` `associate--r+_binary64`
15×	`remove-double-neg_binary64` `distribute-rgt-in_binary64`
14×	`/-rgt-identity_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
13×	`cube-unmult_binary64`
10×	`distribute-lft-in_binary64`
9×	`log-div_binary64`
8×	`log-prod_binary64` `unpow3_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64`
7×	`associate--r-_binary64`
6×	`pow-sqr_binary64`
5×	`--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`exp-diff_binary64` `cube-mult_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
1×	`cos-neg_binary64` `unpow1/2_binary64` `1-exp_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `sqr-abs_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `swap-sqr_binary64`

Counts

154 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	4898
1	186	4628
2	404	4572
3	921	4538
4	2940	4538
5	4623	4538
6	5252	4538

prune49.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Error

60.1b

Counts

71 → 3

Compiler

Compiled 1293 to 177 computations (86.3% saved)

regimes151.0ms (1.7%)

Accuracy

Total 1.1b remaining (4.4%)

Threshold costs 0b (0%)

Compiler

Compiled 1590 to 932 computations (41.4% saved)

bsearch79.0ms (0.9%)

Steps

Iters	Range		Point
9	-1.493523894521058e-305	2.748880151713536e-304	-2.24907974905854e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	9	8
2	8	8

end1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

sample6.2s (69%)

Algorithm

1×

intervals

Results

2.6s	1510×	body	8192	exit
1.6s	4081×	body	1024	valid
470.0ms	1921×	body	512	valid
438.0ms	1617×	body	1024	nan
149.0ms	810×	body	512	nan
145.0ms	982×	body	256	valid
90.0ms	163×	body	2048	valid
67.0ms	853×	body	128	valid
52.0ms	383×	body	256	nan
29.0ms	404×	body	128	nan

Compiler

Compiled 81 to 54 computations (33.3% saved)

Details

analyze791.0ms (8.8%)

sample214.0ms (2.4%)

simplify116.0ms (1.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite50.0ms (0.6%)

series34.0ms (0.4%)

simplify101.0ms (1.1%)

prune21.0ms (0.2%)

localize9.0ms (0.1%)

rewrite96.0ms (1.1%)

series54.0ms (0.6%)

simplify138.0ms (1.5%)

prune55.0ms (0.6%)

localize12.0ms (0.1%)

rewrite95.0ms (1.1%)

series54.0ms (0.6%)

simplify134.0ms (1.5%)

prune30.0ms (0.3%)

localize12.0ms (0.1%)

rewrite191.0ms (2.1%)

series57.0ms (0.6%)

simplify238.0ms (2.6%)

prune49.0ms (0.5%)

regimes151.0ms (1.7%)

bsearch79.0ms (0.9%)

simplify3.0ms (0%)

end1.0ms (0%)

sample6.2s (69%)

Profiling