Details

analyze33.0ms (0.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

16×	`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` `+-commutative_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_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	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16
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
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	65×	body	512	valid
5.0ms	147×	body	128	valid
2.0ms	34×	body	256	valid
1.0ms	10×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`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` `+-commutative_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `associate--r-_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	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16

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

16.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
3.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite248.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

14.9b

Rules

118×	`*-un-lft-identity_binary64`
95×	`add-sqr-sqrt_binary64`
90×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
30×	`distribute-lft-out--_binary64`
27×	`cancel-sign-sub-inv_binary64`
23×	`difference-of-squares_binary64`
11×	`add-exp-log_binary64` `associate-/r*_binary64`
10×	`distribute-lft-out_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64` `difference-of-sqr-1_binary64` `div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`flip--_binary64` `div-exp_binary64`
3×	`flip3--_binary64`
2×	`flip-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64` `flip3-+_binary64`

Counts

3 → 151

Calls

3 calls:

40.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 2349 to 1966 computations (16.3% saved)

series70.0ms (1.5%)

Error

0.4b

Counts

3 → 34

Calls

3 calls:

19.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
15.0ms	(/.f64 1 (+.f64 x 1))
13.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 901 to 776 computations (13.9% saved)

simplify161.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

318×	`div-sub_binary64`
298×	`sub-neg_binary64`
261×	`associate-l_binary64`
255×	`associate-r_binary64`
232×	`associate-*l/_binary64`
225×	`associate-/l*_binary64`
192×	`times-frac_binary64`
185×	`distribute-rgt-in_binary64`
179×	`associate-*r/_binary64`
164×	`associate-/r*_binary64`
141×	`unsub-neg_binary64`
138×	`distribute-lft-in_binary64`
135×	`*-commutative_binary64`
123×	`+-commutative_binary64`
121×	`associate-+l+_binary64`
119×	`associate-+r+_binary64`
103×	`neg-sub0_binary64`
89×	`neg-mul-1_binary64`
84×	`cancel-sign-sub-inv_binary64`
71×	`distribute-neg-frac_binary64`
70×	`distribute-rgt-neg-in_binary64`
69×	`associate--r+_binary64`
67×	`associate-/l/_binary64` `associate-/r/_binary64`
63×	`associate-+r-_binary64`
62×	`associate-+l-_binary64`
60×	`distribute-neg-in_binary64`
58×	`exp-prod_binary64`
47×	`log-prod_binary64`
46×	`distribute-lft-neg-in_binary64`
40×	`distribute-lft-neg-out_binary64` `associate--l+_binary64`
39×	`unpow3_binary64` `distribute-rgt-out_binary64`
38×	`log-div_binary64`
32×	`distribute-rgt-neg-out_binary64`
29×	`cube-prod_binary64`
26×	`cube-div_binary64`
25×	`*-rgt-identity_binary64`
20×	`sqr-pow_binary64`
18×	`exp-sum_binary64`
16×	`distribute-frac-neg_binary64`
14×	`unswap-sqr_binary64`
13×	`cube-unmult_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
12×	`swap-sqr_binary64`
11×	`log-rec_binary64`
10×	`associate--l-_binary64`
8×	`/-rgt-identity_binary64`
7×	`exp-diff_binary64`
6×	`+-rgt-identity_binary64`
5×	`pow-plus_binary64` `distribute-neg-out_binary64`
4×	`cube-mult_binary64` `difference-of-squares_binary64`
3×	`div0_binary64` `distribute-lft1-in_binary64`
2×	`log-pow_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `distribute-lft-out--_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`

Counts

185 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2948
1	508	2874
2	1408	2739
3	3920	2739
4	4916	2739
5	4930	2739

prune67.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	2	158

Error

0.4b

Counts

158 → 2

Compiler

Compiled 1333 to 1056 computations (20.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
0.2b	(/.f64 2 (pow.f64 x 6))
0.4b	(/.f64 2 (pow.f64 x 4))
0.5b	(/.f64 -2 (*.f64 x x))

rewrite299.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64`
76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
66×	`add-cube-cbrt_binary64`
50×	`cancel-sign-sub-inv_binary64`
43×	`unpow-prod-down_binary64`
26×	`associate--l+_binary64`
19×	`add-exp-log_binary64`
15×	`associate-/r*_binary64` `sqr-pow_binary64`
13×	`add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
5×	`div-inv_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `frac-sub_binary64` `difference-of-squares_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `distribute-lft-out--_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate--l-_binary64`

Counts

4 → 184

Calls

4 calls:

46.0ms	(-.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
4.0ms	(/.f64 -2 (*.f64 x x))
4.0ms	(/.f64 2 (pow.f64 x 6))
4.0ms	(/.f64 2 (pow.f64 x 4))

Compiler

Compiled 4831 to 3605 computations (25.4% saved)

series70.0ms (1.5%)

Error

0.4b

Counts

4 → 18

Calls

4 calls:

35.0ms	(-.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
11.0ms	(/.f64 2 (pow.f64 x 6))
9.0ms	(/.f64 2 (pow.f64 x 4))
9.0ms	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 613 to 535 computations (12.7% saved)

simplify194.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

319×	`cancel-sign-sub-inv_binary64`
243×	`associate-/r*_binary64`
207×	`exp-prod_binary64`
202×	`div-sub_binary64`
194×	`*-commutative_binary64`
191×	`sub-neg_binary64`
188×	`neg-sub0_binary64` `associate-*l/_binary64`
167×	`neg-mul-1_binary64`
163×	`associate-*r/_binary64`
153×	`associate-l_binary64`
151×	`log-prod_binary64`
143×	`cube-prod_binary64`
139×	`unswap-sqr_binary64`
132×	`associate-r_binary64`
122×	`associate-/l*_binary64`
119×	`exp-sum_binary64`
112×	`times-frac_binary64`
99×	`log-div_binary64`
78×	`distribute-lft-neg-out_binary64`
74×	`exp-diff_binary64` `distribute-rgt-neg-in_binary64`
64×	`cube-div_binary64`
62×	`associate-/l/_binary64`
61×	`distribute-neg-frac_binary64`
58×	`sqr-pow_binary64`
55×	`unsub-neg_binary64`
52×	`+-commutative_binary64`
48×	`log-pow_binary64`
45×	`unpow3_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`swap-sqr_binary64`
32×	`cube-mult_binary64`
30×	`distribute-rgt-neg-out_binary64`
27×	`distribute-rgt-in_binary64`
25×	`associate-+r-_binary64`
23×	`distribute-lft-in_binary64`
19×	`+-rgt-identity_binary64`
18×	`pow-plus_binary64` `distribute-neg-out_binary64`
17×	`prod-exp_binary64` `associate-/r/_binary64`
16×	`cube-unmult_binary64`
14×	`*-rgt-identity_binary64`
13×	`distribute-neg-in_binary64`
11×	`exp-lft-sqr_binary64`
10×	`*-lft-identity_binary64` `div0_binary64`
8×	`log-rec_binary64` `div-exp_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
7×	`rem-sqrt-square_binary64` `difference-of-squares_binary64` `associate-+l+_binary64`
6×	`unpow1_binary64` `associate--r+_binary64`
5×	`associate-+l-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `rem-square-sqrt_binary64` `distribute-lft-out_binary64`
3×	`cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64`
2×	`rec-exp_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_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-cbrt_binary64` `exp-sqrt_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` `sqr-abs_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

202 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	354	3675
1	921	3531
2	3226	3228
3	4105	3222
4	4940	3222
5	4892	3222

prune78.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	5	149

Error

0.4b

Counts

149 → 5

Compiler

Compiled 1670 to 1206 computations (27.8% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 -2 (*.f64 x x))
22.3b	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
22.3b	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
22.3b	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))

rewrite343.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

24×	`*-un-lft-identity_binary64`
15×	`cbrt-div_binary64` `cbrt-prod_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `frac-add_binary64` `add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`pow1/3_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 75

Calls

4 calls:

50.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
50.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
47.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
4.0ms	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 5154 to 3825 computations (25.8% saved)

series212.0ms (4.6%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

49.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
48.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
46.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
16.0ms	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 4004 to 3334 computations (16.7% saved)

simplify147.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-l_binary64`
449×	`associate-r_binary64`
362×	`associate-/r*_binary64`
354×	`times-frac_binary64`
278×	`associate-*l/_binary64`
239×	`associate-*r/_binary64`
216×	`associate-/l*_binary64`
170×	`distribute-rgt-in_binary64`
161×	`distribute-lft-in_binary64`
71×	`associate-/l/_binary64`
70×	`*-commutative_binary64`
61×	`associate-/r/_binary64`
55×	`cancel-sign-sub-inv_binary64`
51×	`exp-prod_binary64` `unswap-sqr_binary64`
46×	`distribute-rgt-neg-in_binary64`
43×	`sub-neg_binary64`
42×	`distribute-lft-neg-in_binary64`
39×	`sqr-pow_binary64`
36×	`distribute-neg-frac_binary64`
34×	`+-commutative_binary64`
31×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
26×	`distribute-rgt-neg-out_binary64`
24×	`neg-mul-1_binary64` `neg-sub0_binary64`
18×	`unpow3_binary64`
14×	`pow-plus_binary64` `exp-sum_binary64`
13×	`associate-+l+_binary64`
10×	`cube-div_binary64` `distribute-neg-in_binary64`
9×	`log-div_binary64` `exp-to-pow_binary64` `cube-prod_binary64`
8×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
7×	`unpow1/3_binary64` `cube-mult_binary64` `unsub-neg_binary64`
6×	`log-prod_binary64`
4×	`exp-lft-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
3×	`div-sub_binary64`
2×	`log-pow_binary64` `cube-unmult_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

99 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	4148
1	405	3920
2	1126	3458
3	4941	3377
4	4959	3377

prune108.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	8	57

Error

0.3b

Counts

57 → 8

Compiler

Compiled 3217 to 2468 computations (23.3% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
22.3b	(cbrt.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 x (/.f64 (cbrt.f64 -2) x))) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
22.3b	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
22.3b	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))

rewrite420.0ms (9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

23×	`*-un-lft-identity_binary64`
18×	`cbrt-prod_binary64`
15×	`cbrt-div_binary64`
9×	`frac-add_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out--_binary64`

Counts

4 → 65

Calls

4 calls:

120.0ms	(cbrt.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 x (/.f64 (cbrt.f64 -2) x))) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
51.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
50.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
1.0ms	(cbrt.f64 -2)

Compiler

Compiled 5102 to 4006 computations (21.5% saved)

series173.0ms (3.7%)

Error

0.3b

Counts

4 → 17

Calls

4 calls:

51.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
50.0ms	(cbrt.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
26.0ms	(cbrt.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 x (/.f64 (cbrt.f64 -2) x))) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
0.0ms	(cbrt.f64 -2)

Compiler

Compiled 3165 to 2709 computations (14.4% saved)

simplify136.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-*l/_binary64`
361×	`times-frac_binary64`
344×	`associate-/r*_binary64`
305×	`distribute-rgt-in_binary64`
288×	`associate-/l*_binary64`
284×	`distribute-lft-in_binary64`
116×	`associate-/r/_binary64`
104×	`*-commutative_binary64`
88×	`associate-r_binary64`
79×	`cancel-sign-sub-inv_binary64`
77×	`associate-l_binary64`
73×	`associate-/l/_binary64`
68×	`unswap-sqr_binary64` `associate-*r/_binary64`
61×	`sqr-pow_binary64`
53×	`sub-neg_binary64`
51×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64`
48×	`+-commutative_binary64`
46×	`distribute-lft-neg-in_binary64`
45×	`distribute-neg-frac_binary64`
41×	`distribute-lft-neg-out_binary64`
36×	`distribute-rgt-neg-out_binary64`
30×	`neg-mul-1_binary64` `neg-sub0_binary64`
28×	`exp-sum_binary64`
26×	`unpow3_binary64`
25×	`distribute-rgt-out_binary64`
21×	`cube-div_binary64`
19×	`associate-+l+_binary64`
18×	`cube-mult_binary64`
14×	`cube-prod_binary64`
13×	`distribute-neg-in_binary64`
12×	`unpow1/3_binary64` `associate-+r+_binary64`
11×	`exp-to-pow_binary64`
10×	`pow-sqr_binary64`
9×	`unsub-neg_binary64` `associate--l+_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`pow-plus_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `swap-sqr_binary64`
4×	`log-div_binary64` `exp-lft-sqr_binary64` `div-sub_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `rem-3cbrt-lft_binary64` `distribute-lft-out--_binary64`
2×	`log-prod_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `*-lft-identity_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

82 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3706
1	528	3579
2	1578	3205
3	4946	3121
4	4909	3121

prune106.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	3	4
Picked	1	0	1
Done	0	3	3
Total	45	8	53

Error

0.3b

Counts

53 → 8

Compiler

Compiled 3126 to 2436 computations (22.1% saved)

regimes646.0ms (13.9%)

Accuracy

Total -0.2b remaining (-106.1%)

Threshold costs -0.2b (-106.1%)

Compiler

Compiled 8744 to 7254 computations (17% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64` `*-commutative_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-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	25	62
1	36	62
2	50	62
3	56	62
4	59	62
5	55	62

end1.0ms (0%)

Compiler: Compiled 42 to 35 computations (16.7% saved)

sample1.0s (21.9%)

Algorithm

1×

intervals

Results

158.0ms	1937×	body	512	valid
152.0ms	4718×	body	128	valid
50.0ms	933×	body	256	valid
48.0ms	412×	body	1024	valid

Compiler

Compiled 444 to 368 computations (17.1% saved)

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16

Details

analyze33.0ms (0.7%)

sample24.0ms (0.5%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite248.0ms (5.3%)

series70.0ms (1.5%)

simplify161.0ms (3.5%)

prune67.0ms (1.4%)

localize11.0ms (0.2%)

rewrite299.0ms (6.4%)

series70.0ms (1.5%)

simplify194.0ms (4.2%)

prune78.0ms (1.7%)

localize18.0ms (0.4%)

rewrite343.0ms (7.4%)

series212.0ms (4.6%)

simplify147.0ms (3.2%)

prune108.0ms (2.3%)

localize29.0ms (0.6%)

rewrite420.0ms (9%)

series173.0ms (3.7%)

simplify136.0ms (2.9%)

prune106.0ms (2.3%)

regimes646.0ms (13.9%)

bsearch6.0ms (0.1%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.0s (21.9%)

Profiling

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	28	16
4	35	16
5	51	16
6	73	16
7	82	16
8	94	16
9	96	16
10	90	16
11	76	16