Details

analyze40.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

76×	`cancel-sign-sub-inv_binary64`
62×	`sub-neg_binary64`
32×	`associate--r+_binary64`
30×	`distribute-rgt-neg-in_binary64`
29×	`distribute-rgt-in_binary64`
28×	`distribute-neg-in_binary64`
24×	`associate-+l-_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`unsub-neg_binary64`
19×	`distribute-lft-neg-in_binary64`
17×	`neg-mul-1_binary64`
16×	`associate-l_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`neg-sub0_binary64` `sub0-neg_binary64`
13×	`distribute-lft-in_binary64` `associate-r_binary64`
12×	`associate--r-_binary64` `+-commutative_binary64`
8×	`associate--l+_binary64`
7×	`remove-double-neg_binary64` `*-commutative_binary64`
6×	`--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
5×	`associate-+l+_binary64`
4×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
2×	`*-rgt-identity_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `mul-1-neg_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` `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` `/-rgt-identity_binary64` `+-lft-identity_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-lft1-in_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
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
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

76×	`cancel-sign-sub-inv_binary64`
62×	`sub-neg_binary64`
32×	`associate--r+_binary64`
30×	`distribute-rgt-neg-in_binary64`
29×	`distribute-rgt-in_binary64`
28×	`distribute-neg-in_binary64`
24×	`associate-+l-_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`unsub-neg_binary64`
19×	`distribute-lft-neg-in_binary64`
17×	`neg-mul-1_binary64`
16×	`associate-l_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`neg-sub0_binary64` `sub0-neg_binary64`
13×	`distribute-lft-in_binary64` `associate-r_binary64`
12×	`associate--r-_binary64` `+-commutative_binary64`
8×	`associate--l+_binary64`
7×	`remove-double-neg_binary64` `*-commutative_binary64`
6×	`--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
5×	`associate-+l+_binary64`
4×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
2×	`*-rgt-identity_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `mul-1-neg_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` `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` `/-rgt-identity_binary64` `+-lft-identity_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-lft1-in_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13

prune1.0ms (0.1%)

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

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite58.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 520 to 415 computations (20.2% saved)

series31.0ms (1.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

13.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
11.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 202 to 180 computations (10.9% saved)

simplify105.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-l_binary64`
369×	`distribute-rgt-out_binary64`
364×	`+-commutative_binary64`
340×	`associate-r_binary64`
288×	`distribute-lft-out_binary64`
281×	`unswap-sqr_binary64`
220×	`distribute-rgt-in_binary64`
212×	`distribute-lft-in_binary64`
195×	`sqr-pow_binary64`
185×	`distribute-rgt-neg-in_binary64`
149×	`distribute-lft-neg-in_binary64`
146×	`cancel-sign-sub-inv_binary64`
138×	`associate-/l*_binary64` `associate-+l+_binary64`
128×	`associate-+r+_binary64`
103×	`exp-prod_binary64`
96×	`rem-sqrt-square_binary64`
82×	`sub-neg_binary64`
79×	`*-commutative_binary64`
66×	`associate-/l/_binary64`
62×	`pow-sqr_binary64`
60×	`associate-/r/_binary64`
52×	`neg-mul-1_binary64`
48×	`neg-sub0_binary64`
34×	`cube-prod_binary64`
27×	`log-prod_binary64` `swap-sqr_binary64`
26×	`distribute-rgt-out--_binary64`
25×	`*-lft-identity_binary64`
22×	`*-rgt-identity_binary64`
18×	`distribute-neg-in_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`associate-+l-_binary64`
14×	`distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
12×	`unpow1/2_binary64`
11×	`unpow3_binary64` `sub0-neg_binary64`
10×	`difference-of-squares_binary64` `count-2_binary64`
8×	`pow-plus_binary64` `exp-sum_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
6×	`unsub-neg_binary64` `associate--l+_binary64`
5×	`log-pow_binary64` `log-div_binary64` `cube-div_binary64` `associate-/r_binary64` `associate-r/_binary64`
4×	`cube-mult_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`times-frac_binary64`
2×	`unpow2_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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-rec_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` `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` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-l/_binary64` `associate--r-_binary64`

Counts

45 → 25

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	542
1	170	485
2	542	482
3	1562	482
4	2645	482
5	3701	482
6	4901	482
7	4870	482

prune23.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Error

0.0b

Counts

26 → 5

Compiler

Compiled 261 to 206 computations (21.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
0.1b	(.f64 1080863910568919/9007199254740992 (.f64 x x))

rewrite54.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
1×	`unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 510 to 339 computations (33.5% saved)

series24.0ms (1.1%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

14.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
8.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 174 to 159 computations (8.6% saved)

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
431×	`cancel-sign-sub-inv_binary64`
407×	`associate-l_binary64`
348×	`distribute-rgt-out_binary64`
313×	`associate-r_binary64`
298×	`distribute-rgt-in_binary64`
268×	`distribute-lft-in_binary64`
186×	`distribute-lft-out_binary64`
160×	`distribute-rgt-neg-in_binary64`
137×	`distribute-lft-neg-in_binary64`
108×	`*-commutative_binary64`
95×	`associate-+l+_binary64`
93×	`sub-neg_binary64`
92×	`sqr-pow_binary64`
89×	`associate-+r+_binary64`
72×	`neg-sub0_binary64`
71×	`neg-mul-1_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64`
46×	`+-commutative_binary64`
35×	`exp-prod_binary64`
33×	`log-prod_binary64` `cube-prod_binary64`
25×	`distribute-lft-neg-out_binary64`
22×	`pow-sqr_binary64` `swap-sqr_binary64`
19×	`associate-+l-_binary64`
18×	`unpow3_binary64`
15×	`distribute-lft-out--_binary64`
13×	`sub0-neg_binary64`
11×	`cube-mult_binary64` `associate-+r-_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`cube-unmult_binary64`
8×	`pow-plus_binary64` `distribute-neg-in_binary64`
7×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`exp-sum_binary64` `associate-/l*_binary64`
5×	`log-pow_binary64`
4×	`difference-of-squares_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate--r+_binary64`
3×	`+-lft-identity_binary64` `associate--l+_binary64`
2×	`times-frac_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

39 → 25

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	496
1	163	421
2	473	403
3	1523	400
4	3683	400
5	4920	400

prune22.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	24	6	30

Error

0.0b

Counts

30 → 6

Compiler

Compiled 306 to 241 computations (21.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.4b	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))

rewrite141.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64`
18×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`
8×	`sqrt-prod_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-up_binary64` `pow-sqr_binary64` `unswap-sqr_binary64`
3×	`*-commutative_binary64`
2×	`pow-plus_binary64`
1×	`pow2_binary64` `swap-sqr_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

Compiler

Compiled 1555 to 1245 computations (19.9% saved)

series60.0ms (2.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

19.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
13.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
11.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
10.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 432 to 387 computations (10.4% saved)

simplify149.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

319×	`unswap-sqr_binary64`
292×	`distribute-lft-out_binary64`
290×	`distribute-rgt-neg-in_binary64`
286×	`*-commutative_binary64`
280×	`distribute-rgt-in_binary64`
278×	`cancel-sign-sub-inv_binary64`
265×	`distribute-lft-in_binary64`
255×	`distribute-lft-neg-in_binary64`
216×	`distribute-rgt-out_binary64`
189×	`associate-+l+_binary64`
149×	`associate-l_binary64`
147×	`associate-r_binary64`
111×	`unsub-neg_binary64`
104×	`neg-mul-1_binary64`
100×	`neg-sub0_binary64`
86×	`swap-sqr_binary64`
85×	`sqr-pow_binary64`
79×	`exp-prod_binary64`
74×	`cube-prod_binary64`
70×	`log-prod_binary64` `distribute-rgt-out--_binary64`
54×	`sub-neg_binary64`
45×	`distribute-lft-out--_binary64`
29×	`rem-sqrt-square_binary64`
27×	`unpow3_binary64`
25×	`associate-/l*_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`associate-+r+_binary64`
19×	`cube-mult_binary64`
18×	`+-commutative_binary64`
16×	`pow-sqr_binary64` `associate-+l-_binary64`
11×	`associate-/r*_binary64` `associate-+r-_binary64`
10×	`pow-plus_binary64`
9×	`log-pow_binary64` `times-frac_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
8×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
7×	`unpow1/2_binary64` `*-lft-identity_binary64`
6×	`count-2_binary64` `associate-/r/_binary64`
5×	`cube-unmult_binary64` `+-rgt-identity_binary64`
4×	`exp-sum_binary64` `associate--r+_binary64`
3×	`unpow2_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64`
2×	`unpow1_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

104 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	989
1	210	880
2	761	856
3	1791	856
4	4788	856
5	4927	856
6	5000	856
7	4992	856

prune59.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Error

0.0b

Counts

81 → 6

Compiler

Compiled 772 to 600 computations (22.3% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.2b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite202.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`associate-r_binary64` `times-frac_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`unswap-sqr_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `associate-*r/_binary64`

Counts

4 → 102

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
6.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 2665 to 2060 computations (22.7% saved)

series60.0ms (2.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

22.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
16.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
8.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
7.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 440 to 381 computations (13.4% saved)

simplify134.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-*l/_binary64`
463×	`associate-/l*_binary64`
197×	`associate-/l/_binary64`
192×	`associate-l_binary64`
186×	`distribute-rgt-in_binary64`
177×	`distribute-lft-in_binary64`
171×	`associate-/r*_binary64`
163×	`associate-r_binary64`
145×	`times-frac_binary64`
139×	`associate-/r/_binary64`
90×	`log-div_binary64`
86×	`*-commutative_binary64`
82×	`cube-div_binary64`
80×	`log-prod_binary64`
78×	`exp-prod_binary64`
76×	`distribute-rgt-neg-in_binary64`
72×	`cancel-sign-sub-inv_binary64`
64×	`distribute-neg-frac_binary64`
58×	`div-sub_binary64`
56×	`distribute-lft-neg-in_binary64`
48×	`associate-*r/_binary64`
37×	`unswap-sqr_binary64`
32×	`swap-sqr_binary64`
30×	`sqr-pow_binary64`
27×	`sub-neg_binary64`
26×	`distribute-rgt-out_binary64`
25×	`*-rgt-identity_binary64`
23×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-out_binary64`
22×	`cube-prod_binary64` `*-lft-identity_binary64`
17×	`+-commutative_binary64`
14×	`log-rec_binary64` `distribute-rgt-neg-out_binary64`
12×	`unpow3_binary64`
9×	`cube-mult_binary64`
8×	`cube-unmult_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
7×	`distribute-neg-in_binary64`
6×	`exp-diff_binary64`
5×	`pow-plus_binary64` `exp-sum_binary64` `pow-sqr_binary64`
4×	`associate-+l+_binary64`
3×	`log-pow_binary64` `associate-+r+_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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-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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

120 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2398
1	388	2127
2	1435	2106
3	4624	2104
4	4926	2104

prune126.0ms (5.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Error

Counts

108 → 5

Compiler

Compiled 1980 to 1471 computations (25.7% saved)

regimes262.0ms (11.8%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Compiler

Compiled 3068 to 2546 computations (17% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64` `+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	26	16
3	48	16
4	57	16
5	63	16
6	65	16
7	62	16

end1.0ms (0%)

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

sample523.0ms (23.6%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 112 to 99 computations (11.6% saved)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1

Details

analyze40.0ms (1.8%)

sample13.0ms (0.6%)

simplify20.0ms (0.9%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

rewrite58.0ms (2.6%)

series31.0ms (1.4%)

simplify105.0ms (4.7%)

prune23.0ms (1%)

localize6.0ms (0.3%)

rewrite54.0ms (2.4%)

series24.0ms (1.1%)

simplify72.0ms (3.2%)

prune22.0ms (1%)

localize8.0ms (0.3%)

rewrite141.0ms (6.4%)

series60.0ms (2.7%)

simplify149.0ms (6.7%)

prune59.0ms (2.7%)

localize11.0ms (0.5%)

rewrite202.0ms (9.1%)

series60.0ms (2.7%)

simplify134.0ms (6.1%)

prune126.0ms (5.7%)

regimes262.0ms (11.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample523.0ms (23.6%)

Profiling

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1