Details

analyze25.0ms (0.7%)

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`
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-neg-frac_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	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	32×	body	512	valid
6.0ms	55×	body	1024	valid
4.0ms	139×	body	128	valid
1.0ms	10×	body	2048	valid
1.0ms	20×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.3%)

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`
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-neg-frac_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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.5b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite63.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

15×	`sqrt-prod_binary64`
14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `distribute-lft-out--_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`

Counts

2 → 40

Calls

2 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 458 to 303 computations (33.8% saved)

series25.0ms (0.7%)

Error

29.6b

Counts

2 → 8

Calls

2 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
10.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 197 to 162 computations (17.8% saved)

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-/l*_binary64`
304×	`div-sub_binary64`
291×	`cancel-sign-sub-inv_binary64`
278×	`distribute-rgt-in_binary64`
267×	`associate-/l/_binary64`
234×	`distribute-lft-in_binary64`
192×	`distribute-rgt-neg-in_binary64`
162×	`associate-r_binary64`
158×	`distribute-lft-neg-in_binary64`
151×	`associate-l_binary64`
117×	`times-frac_binary64`
92×	`distribute-rgt-out_binary64`
90×	`unswap-sqr_binary64`
86×	`distribute-neg-frac_binary64` `associate-/r/_binary64`
62×	`*-commutative_binary64`
61×	`sub-neg_binary64`
54×	`associate-/r*_binary64`
50×	`cube-prod_binary64`
49×	`distribute-rgt-out--_binary64`
48×	`distribute-lft-neg-out_binary64`
47×	`distribute-lft-out_binary64`
46×	`exp-prod_binary64`
45×	`distribute-rgt-neg-out_binary64`
41×	`neg-sub0_binary64`
37×	`sqr-pow_binary64`
36×	`+-commutative_binary64`
35×	`neg-mul-1_binary64` `unsub-neg_binary64`
26×	`associate-+l+_binary64`
25×	`difference-of-squares_binary64`
24×	`swap-sqr_binary64`
20×	`exp-sum_binary64` `associate-+r+_binary64`
18×	`unpow3_binary64` `distribute-lft-out--_binary64`
14×	`cube-unmult_binary64`
13×	`mul-1-neg_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_binary64`
12×	`pow-plus_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64`
11×	`distribute-frac-neg_binary64`
10×	`/-rgt-identity_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
9×	`cube-mult_binary64` `+-rgt-identity_binary64`
7×	`exp-diff_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
6×	`sqr-neg_binary64` `sub0-neg_binary64` `associate-*l/_binary64`
4×	`difference-of-sqr--1_binary64` `associate-*r/_binary64`
3×	`log-prod_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`unpow2_binary64` `cube-neg_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

48 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	600
1	186	577
2	442	574
3	1540	570
4	4802	570
5	5272	570

prune34.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Error

0.1b

Counts

37 → 3

Compiler

Compiled 342 to 237 computations (30.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite127.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64`
24×	`sqrt-prod_binary64`
21×	`distribute-lft-out_binary64`
18×	`times-frac_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `associate-/r/_binary64` `sqrt-div_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

3 → 75

Calls

3 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1077 to 778 computations (27.8% saved)

series25.0ms (0.7%)

Error

0.1b

Counts

3 → 11

Calls

3 calls:

8.0ms	(sqrt.f64 (+.f64 1 x))
7.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
6.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 218 to 197 computations (9.6% saved)

simplify145.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

843×	`div-sub_binary64`
342×	`cancel-sign-sub-inv_binary64`
314×	`associate-*l/_binary64`
256×	`associate-l_binary64`
237×	`associate-/l*_binary64`
229×	`associate-r_binary64`
221×	`times-frac_binary64`
213×	`distribute-rgt-out_binary64`
192×	`sub-neg_binary64`
176×	`unswap-sqr_binary64`
148×	`distribute-rgt-neg-in_binary64`
143×	`associate-*r/_binary64`
137×	`neg-mul-1_binary64`
124×	`neg-sub0_binary64`
111×	`distribute-rgt-in_binary64`
109×	`distribute-lft-neg-in_binary64`
105×	`unsub-neg_binary64` `associate-+l+_binary64`
103×	`associate-+r+_binary64`
101×	`associate-/l/_binary64`
84×	`distribute-lft-out_binary64`
83×	`*-commutative_binary64`
82×	`sqr-pow_binary64` `distribute-lft-in_binary64`
78×	`cube-prod_binary64`
72×	`associate-/r*_binary64`
71×	`distribute-rgt-out--_binary64`
59×	`cube-div_binary64`
57×	`+-commutative_binary64`
56×	`*-rgt-identity_binary64`
47×	`associate-+l-_binary64`
46×	`associate-+r-_binary64`
45×	`distribute-neg-in_binary64`
44×	`associate-/r/_binary64`
43×	`exp-prod_binary64`
41×	`remove-double-div_binary64`
38×	`*-lft-identity_binary64`
34×	`distribute-lft-neg-out_binary64`
33×	`pow-plus_binary64`
32×	`unpow3_binary64`
26×	`distribute-lft-out--_binary64`
25×	`distribute-rgt1-in_binary64`
22×	`sub0-neg_binary64`
21×	`cube-mult_binary64` `difference-of-squares_binary64`
19×	`/-rgt-identity_binary64`
18×	`distribute-rgt-neg-out_binary64` `associate--r+_binary64`
16×	`exp-diff_binary64` `exp-sum_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64`
14×	`cube-unmult_binary64` `pow-sqr_binary64` `distribute-neg-frac_binary64` `associate--l+_binary64`
13×	`log-div_binary64` `rem-sqrt-square_binary64`
12×	`log-prod_binary64`
9×	`mul-1-neg_binary64`
7×	`cube-neg_binary64`
6×	`unpow2_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
4×	`sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `swap-sqr_binary64` `associate--l-_binary64`
3×	`+-lft-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

86 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1296
1	202	1215
2	421	1212
3	839	1208
4	2106	1208
5	4084	1208
6	4692	1208
7	5423	1208

prune29.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Error

0.1b

Counts

48 → 4

Compiler

Compiled 408 to 298 computations (27% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
10.2b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))

rewrite282.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

176×	`*-un-lft-identity_binary64`
90×	`times-frac_binary64`
68×	`sqrt-prod_binary64` `distribute-lft-out_binary64`
57×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
54×	`cbrt-prod_binary64`
48×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`add-exp-log_binary64`
10×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
5×	`div-inv_binary64`
4×	`div-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `associate-/l*_binary64`
2×	`cube-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 195

Calls

4 calls:

15.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
14.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 2724 to 2095 computations (23.1% saved)

series38.0ms (1%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
9.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 237 to 238 computations (-0.4% saved)

simplify182.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-l_binary64`
455×	`log-prod_binary64`
406×	`associate-r_binary64`
398×	`exp-prod_binary64`
367×	`cube-prod_binary64`
282×	`times-frac_binary64`
239×	`unswap-sqr_binary64`
169×	`associate-*l/_binary64`
145×	`log-div_binary64`
143×	`distribute-rgt-in_binary64`
135×	`cube-div_binary64`
125×	`distribute-lft-in_binary64`
116×	`associate-/l*_binary64`
107×	`associate-*r/_binary64`
88×	`sqr-pow_binary64`
70×	`associate-/r*_binary64`
67×	`associate-+r+_binary64`
58×	`*-commutative_binary64`
49×	`unpow3_binary64`
42×	`associate-+l+_binary64`
39×	`cube-mult_binary64`
32×	`pow-plus_binary64`
31×	`associate-/l/_binary64`
29×	`cube-unmult_binary64`
28×	`log-pow_binary64` `associate-+r-_binary64`
26×	`swap-sqr_binary64`
19×	`*-rgt-identity_binary64`
18×	`rem-cbrt-cube_binary64`
17×	`log-rec_binary64`
16×	`sub-neg_binary64`
15×	`associate-+l-_binary64`
14×	`*-lft-identity_binary64` `associate-/r/_binary64` `+-commutative_binary64`
12×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
6×	`/-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
5×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--l+_binary64`
4×	`rem-square-sqrt_binary64` `distribute-lft-neg-in_binary64`
3×	`pow-base-1_binary64` `rem-cube-cbrt_binary64` `div-sub_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
2×	`difference-of-squares_binary64` `distribute-neg-in_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_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` `unpow2_binary64` `exp-to-pow_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-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` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`

Counts

207 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	4566
1	322	3853
2	719	3841
3	3305	3841
4	4920	3841

prune63.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	165	7	172

Error

0.0b

Counts

172 → 7

Compiler

Compiled 913 to 693 computations (24.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
0.3b	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
0.3b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
0.4b	(cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite508.0ms (13.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

175×	`*-un-lft-identity_binary64`
153×	`cbrt-prod_binary64`
118×	`add-sqr-sqrt_binary64`
112×	`times-frac_binary64`
84×	`unpow-prod-down_binary64`
60×	`sqrt-prod_binary64` `distribute-lft-out_binary64`
59×	`add-cube-cbrt_binary64`
32×	`associate-l_binary64`
28×	`unswap-sqr_binary64`
27×	`associate-r_binary64`
11×	`add-exp-log_binary64`
10×	`associate-/r/_binary64`
9×	`unpow2_binary64`
8×	`pow1_binary64`
7×	`sqr-pow_binary64`
5×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`cbrt-div_binary64` `div-exp_binary64` `pow-prod-down_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `pow3_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `rem-3cbrt-lft_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 216

Calls

4 calls:

44.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
16.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
13.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
11.0ms	(cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

Compiler

Compiled 6792 to 5183 computations (23.7% saved)

series48.0ms (1.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
11.0ms	(cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
10.0ms	(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
7.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

Compiler

Compiled 476 to 433 computations (9% saved)

simplify277.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

376×	`associate-l_binary64`
323×	`distribute-rgt-in_binary64`
322×	`associate-/r*_binary64`
309×	`associate-/l/_binary64`
301×	`associate-r_binary64`
279×	`distribute-lft-in_binary64`
214×	`log-prod_binary64`
209×	`cube-prod_binary64`
200×	`unsub-neg_binary64`
193×	`exp-prod_binary64` `swap-sqr_binary64`
165×	`sqr-pow_binary64`
134×	`associate-/r/_binary64`
86×	`*-commutative_binary64`
85×	`associate-*l/_binary64`
72×	`unpow3_binary64` `unswap-sqr_binary64`
69×	`associate-*r/_binary64`
59×	`associate-/l*_binary64`
53×	`pow-plus_binary64` `cube-div_binary64`
51×	`associate-+r+_binary64`
44×	`*-rgt-identity_binary64`
43×	`rem-sqrt-square_binary64`
42×	`log-div_binary64` `cube-mult_binary64`
40×	`log-pow_binary64`
39×	`*-lft-identity_binary64`
38×	`pow-sqr_binary64`
36×	`sub-neg_binary64`
34×	`cube-unmult_binary64`
32×	`neg-sub0_binary64`
31×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
30×	`neg-mul-1_binary64`
28×	`div-sub_binary64`
23×	`times-frac_binary64`
22×	`unpow1/2_binary64`
21×	`associate-+r-_binary64`
18×	`unpow2_binary64` `unpow1_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`distribute-lft-out_binary64` `associate-+l-_binary64`
15×	`+-commutative_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`+-rgt-identity_binary64`
9×	`count-2_binary64`
8×	`/-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
7×	`sqr-neg_binary64` `+-lft-identity_binary64`
5×	`distribute-lft-neg-in_binary64` `associate--l+_binary64`
4×	`rem-square-sqrt_binary64` `sub0-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
3×	`rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`log-rec_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `rem-3cbrt-rft_binary64` `+-inverses_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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` `exp-to-pow_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-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

228 → 192

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	7407
1	367	7122
2	825	6965
3	2277	6625
4	4194	6625
5	4872	6625

prune212.0ms (5.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	190	9	199

Error

0.0b

Counts

199 → 9

Compiler

Compiled 3234 to 2443 computations (24.5% saved)

regimes510.0ms (13.8%)

Accuracy

Total 0.1b remaining (70.7%)

Threshold costs 0.1b (70.7%)

Compiler

Compiled 7818 to 6548 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	11	14

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample948.0ms (25.7%)

Algorithm

1×

intervals

Results

208.0ms	1922×	body	1024	valid
128.0ms	4340×	body	128	valid
77.0ms	985×	body	512	valid
35.0ms	523×	body	256	valid
30.0ms	230×	body	2048	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 258 to 218 computations (15.5% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze25.0ms (0.7%)

sample26.0ms (0.7%)

simplify12.0ms (0.3%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite63.0ms (1.7%)

series25.0ms (0.7%)

simplify75.0ms (2%)

prune34.0ms (0.9%)

localize7.0ms (0.2%)

rewrite127.0ms (3.4%)

series25.0ms (0.7%)

simplify145.0ms (3.9%)

prune29.0ms (0.8%)

localize12.0ms (0.3%)

rewrite282.0ms (7.6%)

series38.0ms (1%)

simplify182.0ms (4.9%)

prune63.0ms (1.7%)

localize12.0ms (0.3%)

rewrite508.0ms (13.7%)

series48.0ms (1.3%)

simplify277.0ms (7.5%)

prune212.0ms (5.7%)

regimes510.0ms (13.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample948.0ms (25.7%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11