Details

analyze24.0ms (0.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `+-commutative_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	70×	body	1024	valid
5.0ms	136×	body	128	valid
3.0ms	33×	body	512	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `+-commutative_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

21.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.3b	(/.f64 1 (sqrt.f64 x))
2.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite343.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

21.2b

Rules

127×	`add-sqr-sqrt_binary64`
118×	`times-frac_binary64`
117×	`*-un-lft-identity_binary64`
76×	`sqrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
27×	`cancel-sign-sub-inv_binary64`
25×	`difference-of-squares_binary64`
13×	`distribute-lft-out--_binary64` `associate-/r*_binary64`
12×	`add-exp-log_binary64`
11×	`distribute-lft-out_binary64`
9×	`pow1_binary64`
8×	`add-cbrt-cube_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64` `pow-flip_binary64` `associate-/l*_binary64`
4×	`associate-/r/_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
2×	`inv-pow_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 189

Calls

4 calls:

38.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	(/.f64 1 (sqrt.f64 x))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 2811 to 2163 computations (23.1% saved)

series43.0ms (0.5%)

Error

21.5b

Counts

4 → 18

Calls

4 calls:

9.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
8.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	(sqrt.f64 (+.f64 x 1))
6.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 486 to 413 computations (15% saved)

simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Rules

485×	`cancel-sign-sub-inv_binary64`
290×	`neg-mul-1_binary64`
261×	`div-sub_binary64`
243×	`associate-r_binary64`
240×	`associate-l_binary64`
209×	`associate-/l*_binary64`
190×	`distribute-rgt-neg-in_binary64`
189×	`sub-neg_binary64`
187×	`associate-*l/_binary64`
162×	`times-frac_binary64`
159×	`distribute-lft-neg-in_binary64`
157×	`associate-*r/_binary64`
153×	`*-commutative_binary64`
143×	`exp-prod_binary64`
108×	`distribute-neg-frac_binary64`
101×	`associate-/r*_binary64`
92×	`distribute-lft-neg-out_binary64`
91×	`distribute-rgt-out_binary64`
83×	`distribute-rgt-out--_binary64`
80×	`+-commutative_binary64`
79×	`distribute-rgt-neg-out_binary64`
78×	`neg-sub0_binary64` `unsub-neg_binary64`
66×	`distribute-rgt-in_binary64`
65×	`associate-/l/_binary64`
62×	`distribute-lft-in_binary64` `associate-/r/_binary64`
54×	`log-prod_binary64`
49×	`cube-prod_binary64` `sqr-pow_binary64`
47×	`cube-div_binary64`
45×	`distribute-frac-neg_binary64`
44×	`*-rgt-identity_binary64` `swap-sqr_binary64`
43×	`log-div_binary64`
39×	`distribute-neg-in_binary64`
38×	`associate-+r+_binary64`
36×	`associate-+r-_binary64`
35×	`exp-diff_binary64`
33×	`unswap-sqr_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
27×	`unpow3_binary64` `*-lft-identity_binary64`
26×	`exp-sum_binary64` `sqr-neg_binary64`
25×	`associate--l+_binary64`
18×	`/-rgt-identity_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
17×	`cube-unmult_binary64` `+-rgt-identity_binary64`
15×	`exp-neg_binary64` `cube-mult_binary64`
14×	`difference-of-squares_binary64`
12×	`log-rec_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
11×	`div0_binary64`
10×	`pow-plus_binary64` `rem-sqrt-square_binary64`
8×	`mul-1-neg_binary64`
5×	`log-pow_binary64` `unpow1/2_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
4×	`rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`unpow2_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `+-inverses_binary64` `difference-of-sqr-1_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

207 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	3479
1	442	3403
2	1091	3347
3	2913	3341
4	4169	3341
5	4860	3341

prune122.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	160	10	170
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	10	171

Error

21.2b

Counts

171 → 10

Compiler

Compiled 1579 to 1224 computations (22.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
0.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
0.3b	(/.f64 1 (sqrt.f64 x))
2.6b	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

rewrite824.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

20.4b

Rules

1332×	`*-un-lft-identity_binary64`
1249×	`times-frac_binary64`
725×	`add-sqr-sqrt_binary64`
429×	`distribute-lft-out_binary64`
304×	`sqrt-prod_binary64`
293×	`add-cube-cbrt_binary64`
180×	`distribute-lft-out--_binary64`
168×	`div-inv_binary64`
162×	`difference-of-squares_binary64`
29×	`associate-/r*_binary64`
28×	`associate-/l*_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`associate-/r/_binary64`
6×	`add-log-exp_binary64` `pow-flip_binary64`
5×	`div-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
2×	`frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `inv-pow_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `1-exp_binary64` `rec-exp_binary64` `sqrt-div_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `div-sub_binary64` `frac-add_binary64`

Counts

4 → 554

Calls

4 calls:

71.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
23.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 10903 to 8671 computations (20.5% saved)

series63.0ms (0.7%)

Error

6.7b

Counts

4 → 24

Calls

4 calls:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
12.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
10.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
7.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 970 to 806 computations (16.9% saved)

simplify608.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
506×	`associate-/l*_binary64`
304×	`distribute-rgt-in_binary64`
270×	`distribute-lft-in_binary64`
231×	`associate-/l/_binary64`
145×	`associate-/r/_binary64`
139×	`cancel-sign-sub-inv_binary64`
133×	`sub-neg_binary64`
115×	`div-sub_binary64`
113×	`exp-prod_binary64`
111×	`distribute-neg-frac_binary64`
99×	`associate-/r*_binary64`
93×	`distribute-rgt-neg-in_binary64`
82×	`associate-*l/_binary64`
81×	`neg-sub0_binary64`
77×	`neg-mul-1_binary64` `*-commutative_binary64`
67×	`distribute-lft-neg-in_binary64`
58×	`associate-*r/_binary64`
57×	`+-commutative_binary64`
53×	`associate-r_binary64`
50×	`*-rgt-identity_binary64`
49×	`associate-l_binary64`
45×	`exp-sum_binary64`
41×	`cube-div_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`distribute-rgt-out_binary64`
31×	`sqr-pow_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`distribute-rgt-out--_binary64`
26×	`distribute-neg-in_binary64`
23×	`cube-prod_binary64` `*-lft-identity_binary64`
21×	`associate--l+_binary64`
20×	`unswap-sqr_binary64`
19×	`/-rgt-identity_binary64`
18×	`log-prod_binary64` `unsub-neg_binary64`
16×	`log-div_binary64`
14×	`exp-diff_binary64` `associate--r+_binary64`
13×	`associate-+r-_binary64`
11×	`unpow3_binary64` `difference-of-squares_binary64`
10×	`swap-sqr_binary64` `distribute-frac-neg_binary64`
9×	`pow-plus_binary64` `cube-unmult_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
7×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
5×	`exp-neg_binary64` `+-rgt-identity_binary64`
4×	`log-rec_binary64` `distribute-neg-out_binary64`
3×	`rem-square-sqrt_binary64` `mul-1-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`

Counts

578 → 516

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	22219
1	771	22048
2	2043	21962
3	4762	21944
4	4931	21944

prune160.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	522	4	526

Error

6.7b

Counts

526 → 4

Compiler

Compiled 4001 to 3106 computations (22.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
0.3b	(/.f64 1 (sqrt.f64 x))
0.5b	(/.f64 1 (+.f64 x (*.f64 x x)))
6.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))

rewrite811.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1041×	`times-frac_binary64`
965×	`*-un-lft-identity_binary64`
356×	`distribute-lft-out_binary64`
352×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
292×	`sqrt-prod_binary64`
109×	`div-inv_binary64`
55×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
41×	`associate-/r/_binary64`
34×	`associate-/r*_binary64`
30×	`associate-/l*_binary64`
25×	`add-exp-log_binary64`
20×	`flip3-+_binary64` `flip-+_binary64`
15×	`add-cbrt-cube_binary64`
12×	`div-exp_binary64`
9×	`pow1_binary64`
7×	`pow-flip_binary64`
6×	`cbrt-undiv_binary64`
4×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
3×	`inv-pow_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`associate-/l/_binary64` `frac-add_binary64`

Counts

4 → 530

Calls

4 calls:

55.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
5.0ms	(/.f64 1 (+.f64 x (*.f64 x x)))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 11641 to 7482 computations (35.7% saved)

series58.0ms (0.7%)

Error

6.7b

Counts

4 → 24

Calls

4 calls:

17.0ms	(/.f64 1 (+.f64 x (*.f64 x x)))
12.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
10.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
7.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 936 to 747 computations (20.2% saved)

simplify658.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-*l/_binary64`
356×	`associate-*r/_binary64`
348×	`associate-/r/_binary64`
318×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`
230×	`associate-/l/_binary64`
169×	`associate-/r*_binary64`
158×	`sub-neg_binary64`
145×	`log-prod_binary64`
137×	`log-div_binary64` `cube-div_binary64`
134×	`cancel-sign-sub-inv_binary64`
109×	`*-rgt-identity_binary64`
98×	`*-commutative_binary64`
85×	`unswap-sqr_binary64`
83×	`neg-mul-1_binary64` `associate-/l*_binary64`
82×	`neg-sub0_binary64`
78×	`*-lft-identity_binary64`
69×	`distribute-rgt-out_binary64` `associate-r_binary64`
66×	`cube-prod_binary64`
63×	`associate-l_binary64`
57×	`distribute-rgt-neg-in_binary64`
55×	`sqr-pow_binary64`
52×	`unpow3_binary64`
51×	`times-frac_binary64`
47×	`cube-mult_binary64` `unsub-neg_binary64`
46×	`+-commutative_binary64`
44×	`associate--l+_binary64`
42×	`distribute-lft-neg-in_binary64`
41×	`distribute-neg-frac_binary64`
37×	`div-sub_binary64`
35×	`/-rgt-identity_binary64`
30×	`distribute-lft-out_binary64`
29×	`distribute-rgt-out--_binary64`
22×	`exp-prod_binary64`
18×	`difference-of-squares_binary64`
17×	`distribute-neg-in_binary64`
14×	`associate--r+_binary64`
12×	`log-rec_binary64` `distribute-lft-neg-out_binary64`
10×	`swap-sqr_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
9×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+r+_binary64`
7×	`pow-plus_binary64` `rem-sqrt-square_binary64`
6×	`associate-+l+_binary64`
5×	`pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
4×	`unpow1/2_binary64`
3×	`log-pow_binary64` `lft-mult-inverse_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `exp-sum_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` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`

Counts

554 → 469

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	352	21045
1	814	19207
2	2266	18863
3	4413	18857
4	4715	18857
5	5016	18857

prune223.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	460	9	469
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	463	10	473

Error

Counts

473 → 10

Compiler

Compiled 4286 to 2804 computations (34.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))
0.3b	(/.f64 x (sqrt.f64 (+.f64 1 x)))
0.3b	(/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
0.5b	(/.f64 x (sqrt.f64 x))

rewrite639.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

852×	`*-un-lft-identity_binary64`
831×	`times-frac_binary64`
329×	`distribute-lft-out_binary64`
294×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
268×	`sqrt-prod_binary64`
58×	`div-inv_binary64`
35×	`associate-/r/_binary64`
27×	`associate-/r*_binary64`
24×	`associate-/l*_binary64`
18×	`flip3-+_binary64` `flip-+_binary64`
17×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64`
2×	`pow-div_binary64` `frac-add_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l/_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 413

Calls

4 calls:

50.0ms	(/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
39.0ms	(+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))
6.0ms	(/.f64 x (sqrt.f64 (+.f64 1 x)))
4.0ms	(/.f64 x (sqrt.f64 x))

Compiler

Compiled 8635 to 5533 computations (35.9% saved)

series46.0ms (0.5%)

Error

Counts

4 → 15

Calls

4 calls:

13.0ms	(/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
10.0ms	(/.f64 x (sqrt.f64 (+.f64 1 x)))
10.0ms	(+.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))
7.0ms	(/.f64 x (sqrt.f64 x))

Compiler

Compiled 528 to 419 computations (20.6% saved)

simplify495.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

411×	`*-commutative_binary64`
285×	`distribute-rgt-in_binary64`
254×	`distribute-lft-in_binary64`
242×	`associate-/l/_binary64`
224×	`cancel-sign-sub-inv_binary64`
186×	`div-sub_binary64`
176×	`sub-neg_binary64`
175×	`associate-/r*_binary64`
155×	`associate-/l*_binary64`
143×	`unswap-sqr_binary64`
136×	`distribute-rgt-out_binary64`
113×	`distribute-rgt-neg-in_binary64`
110×	`log-prod_binary64`
107×	`cube-prod_binary64`
104×	`associate-*l/_binary64`
93×	`distribute-lft-neg-in_binary64`
92×	`times-frac_binary64`
90×	`distribute-neg-frac_binary64`
87×	`associate-/r/_binary64`
84×	`log-div_binary64`
79×	`cube-div_binary64`
68×	`*-rgt-identity_binary64`
65×	`associate-l_binary64` `associate-r_binary64`
64×	`associate-+r+_binary64` `+-commutative_binary64`
58×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64` `associate-+l+_binary64`
48×	`unsub-neg_binary64`
46×	`sqr-pow_binary64`
41×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64`
40×	`associate-+l-_binary64`
38×	`associate-+r-_binary64`
37×	`*-lft-identity_binary64`
35×	`exp-prod_binary64`
32×	`distribute-neg-in_binary64`
29×	`unpow3_binary64`
28×	`associate--l+_binary64`
27×	`swap-sqr_binary64`
26×	`cube-mult_binary64`
23×	`distribute-lft-neg-out_binary64`
18×	`distribute-rgt1-in_binary64`
17×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64`
16×	`+-rgt-identity_binary64` `associate--r+_binary64`
14×	`log-rec_binary64` `sub0-neg_binary64`
13×	`log-pow_binary64`
12×	`mul-1-neg_binary64`
11×	`pow-plus_binary64` `difference-of-squares_binary64`
10×	`distribute-lft1-in_binary64`
7×	`distribute-neg-out_binary64` `distribute-lft-out_binary64`
6×	`associate--l-_binary64`
5×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
4×	`associate--r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
2×	`exp-diff_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `distribute-frac-neg_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_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` `exp-neg_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` `remove-double-div_binary64` `cancel-sign-sub_binary64`

Counts

428 → 397

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	359	14625
1	801	13583
2	2312	13575
3	3628	13536
4	4532	13536
5	4983	13536

prune260.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	393	4	397
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	400	7	407

Error

Counts

407 → 7

Compiler

Compiled 4199 to 2813 computations (33% saved)

regimes2.1s (24.2%)

Accuracy

Total 0.3b remaining (95.2%)

Threshold costs 0.3b (95.2%)

Compiler

Compiled 34624 to 27358 computations (21% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64` `*-commutative_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` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	17	28
2	16	28

end1.0ms (0%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

sample1.0s (11.5%)

Algorithm

1×

intervals

Results

318.0ms	2236×	body	1024	valid
152.0ms	4262×	body	128	valid
105.0ms	975×	body	512	valid
35.0ms	527×	body	256	valid

Compiler

Compiled 223 to 187 computations (16.1% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

Details

analyze24.0ms (0.3%)

sample32.0ms (0.4%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite343.0ms (3.9%)

series43.0ms (0.5%)

simplify177.0ms (2%)

prune122.0ms (1.4%)

localize12.0ms (0.1%)

rewrite824.0ms (9.4%)

series63.0ms (0.7%)

simplify608.0ms (6.9%)

prune160.0ms (1.8%)

localize12.0ms (0.1%)

rewrite811.0ms (9.2%)

series58.0ms (0.7%)

simplify658.0ms (7.5%)

prune223.0ms (2.5%)

localize11.0ms (0.1%)

rewrite639.0ms (7.3%)

series46.0ms (0.5%)

simplify495.0ms (5.6%)

prune260.0ms (3%)

regimes2.1s (24.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.0s (11.5%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17