Details

analyze27.0ms (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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	60×	body	1024	valid
4.0ms	139×	body	128	valid
3.0ms	32×	body	512	valid
1.0ms	18×	body	256	valid
1.0ms	7×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify14.0ms (0.4%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

29.2b

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))
3.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite63.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

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)

series27.0ms (0.7%)

Error

28.4b

Counts

2 → 9

Calls

2 calls:

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

Compiler

Compiled 217 to 177 computations (18.4% saved)

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-/l*_binary64`
336×	`cancel-sign-sub-inv_binary64`
278×	`distribute-rgt-in_binary64`
267×	`associate-/l/_binary64`
234×	`distribute-lft-in_binary64`
194×	`distribute-rgt-neg-in_binary64`
183×	`associate-r_binary64`
172×	`associate-l_binary64`
160×	`distribute-lft-neg-in_binary64`
123×	`distribute-rgt-out_binary64`
117×	`times-frac_binary64`
90×	`unswap-sqr_binary64`
86×	`distribute-neg-frac_binary64` `associate-/r/_binary64`
72×	`*-commutative_binary64`
71×	`sub-neg_binary64` `distribute-lft-out_binary64`
65×	`distribute-rgt-out--_binary64`
54×	`associate-/r*_binary64`
48×	`distribute-lft-neg-out_binary64`
47×	`+-commutative_binary64`
45×	`distribute-rgt-neg-out_binary64`
41×	`neg-sub0_binary64`
39×	`div-sub_binary64`
37×	`sqr-pow_binary64`
36×	`unsub-neg_binary64`
35×	`neg-mul-1_binary64`
34×	`exp-prod_binary64`
33×	`associate-+l+_binary64`
31×	`distribute-lft-out--_binary64`
28×	`associate-+r+_binary64`
26×	`cube-prod_binary64`
25×	`difference-of-squares_binary64`
24×	`swap-sqr_binary64`
18×	`associate--l+_binary64`
16×	`exp-sum_binary64`
14×	`distribute-rgt1-in_binary64`
13×	`fabs-mul_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64`
12×	`*-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
11×	`+-rgt-identity_binary64` `distribute-frac-neg_binary64`
10×	`/-rgt-identity_binary64`
8×	`cube-unmult_binary64`
7×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
6×	`unpow3_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `associate-*l/_binary64`
5×	`pow-plus_binary64`
4×	`cube-mult_binary64` `difference-of-sqr--1_binary64` `associate-*r/_binary64`
3×	`rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`log-prod_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `sqr-neg_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-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

49 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	625
1	200	602
2	480	596
3	1665	589
4	4994	589

prune31.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Error

0.1b

Counts

38 → 3

Compiler

Compiled 367 to 254 computations (30.8% 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)))

rewrite130.0ms (3.5%)

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:

11.0ms	(/.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)

series26.0ms (0.7%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

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

Compiler

Compiled 240 to 214 computations (10.8% saved)

simplify163.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

577×	`cancel-sign-sub-inv_binary64`
393×	`associate-l_binary64`
314×	`associate-r_binary64`
298×	`distribute-rgt-out_binary64`
248×	`div-sub_binary64`
221×	`times-frac_binary64`
176×	`unswap-sqr_binary64`
175×	`neg-mul-1_binary64`
162×	`sub-neg_binary64`
159×	`neg-sub0_binary64`
150×	`distribute-lft-out_binary64`
149×	`distribute-rgt-neg-in_binary64`
125×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
120×	`associate-+r+_binary64`
112×	`*-commutative_binary64`
111×	`distribute-rgt-in_binary64`
109×	`distribute-lft-neg-in_binary64`
87×	`associate-/l*_binary64`
82×	`distribute-lft-in_binary64`
76×	`distribute-lft-out--_binary64`
73×	`+-commutative_binary64`
70×	`cube-prod_binary64`
59×	`associate-+l-_binary64`
54×	`distribute-neg-in_binary64`
51×	`associate-+r-_binary64`
47×	`exp-prod_binary64`
43×	`sqr-pow_binary64`
39×	`unpow3_binary64`
35×	`associate-/r*_binary64`
34×	`unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
33×	`cube-div_binary64`
29×	`pow-plus_binary64`
26×	`*-lft-identity_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64`
25×	`associate--l+_binary64`
24×	`associate--r+_binary64`
21×	`difference-of-squares_binary64`
20×	`+-rgt-identity_binary64`
18×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
16×	`exp-diff_binary64` `fabs-mul_binary64` `associate-/l/_binary64` `associate-*l/_binary64`
15×	`exp-sum_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64`
14×	`cube-unmult_binary64` `distribute-neg-frac_binary64`
13×	`log-div_binary64` `associate-*r/_binary64`
12×	`log-prod_binary64` `fabs-div_binary64`
5×	`log-rec_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
4×	`unpow1/2_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `associate--l-_binary64`
3×	`mul-1-neg_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-neg_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `fabs-fabs_binary64` `sqr-abs_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

87 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1321
1	216	1240
2	459	1234
3	960	1227
4	2445	1227
5	4344	1227
6	4902	1227
7	4994	1227
8	4859	1227

prune37.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

0.0b

Counts

49 → 7

Compiler

Compiled 498 to 369 computations (25.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.2b	(cbrt.f64 (+.f64 1 x))
0.2b	(cbrt.f64 (+.f64 1 x))

rewrite269.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`add-sqr-sqrt_binary64`
29×	`cbrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
17×	`sqrt-prod_binary64`
16×	`cbrt-div_binary64`
15×	`unswap-sqr_binary64`
13×	`fabs-mul_binary64`
12×	`associate-l_binary64`
10×	`add-exp-log_binary64` `associate-r_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `fabs-sqr_binary64` `times-frac_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`sqrt-div_binary64` `fabs-div_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `frac-times_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`pow1/3_binary64` `rem-sqrt-square_binary64` `mul-fabs_binary64` `associate-l/_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-/r/_binary64`
1×	`pow3_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 120

Calls

4 calls:

16.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
15.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
4.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2924 to 2282 computations (22% saved)

series116.0ms (3.1%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

25.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
21.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
18.0ms	(cbrt.f64 (+.f64 1 x))
17.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1701 to 1450 computations (14.8% saved)

simplify146.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

460×	`times-frac_binary64`
313×	`unswap-sqr_binary64`
290×	`*-commutative_binary64`
281×	`distribute-rgt-in_binary64`
253×	`distribute-lft-in_binary64`
228×	`cancel-sign-sub-inv_binary64`
226×	`associate-+l+_binary64`
160×	`exp-sum_binary64`
137×	`associate-/l*_binary64`
136×	`associate-r_binary64`
132×	`sub-neg_binary64`
127×	`associate-l_binary64`
126×	`distribute-rgt-neg-in_binary64`
109×	`log-prod_binary64`
101×	`distribute-lft-neg-in_binary64`
94×	`sqr-pow_binary64`
88×	`associate-/r*_binary64`
84×	`+-commutative_binary64`
78×	`distribute-rgt-out_binary64`
70×	`associate-+l-_binary64`
69×	`exp-prod_binary64`
68×	`associate-+r+_binary64`
67×	`associate-+r-_binary64`
63×	`associate-*l/_binary64`
60×	`distribute-lft-out_binary64`
58×	`associate--r+_binary64`
57×	`exp-diff_binary64`
45×	`associate--l+_binary64`
44×	`neg-mul-1_binary64` `neg-sub0_binary64`
41×	`distribute-rgt-out--_binary64`
40×	`associate-*r/_binary64`
39×	`cube-prod_binary64`
34×	`associate-/l/_binary64`
32×	`log-div_binary64`
30×	`fabs-mul_binary64`
27×	`rem-sqrt-square_binary64`
25×	`+-rgt-identity_binary64`
23×	`*-rgt-identity_binary64`
22×	`div-sub_binary64`
21×	`log-pow_binary64` `unsub-neg_binary64`
20×	`pow-plus_binary64` `distribute-neg-in_binary64` `associate-/r/_binary64`
19×	`*-lft-identity_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
18×	`cube-unmult_binary64` `pow-sqr_binary64`
16×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64`
13×	`cube-div_binary64`
12×	`sub0-neg_binary64` `swap-sqr_binary64`
11×	`unpow3_binary64` `associate--l-_binary64`
10×	`exp-to-pow_binary64` `/-rgt-identity_binary64`
9×	`fabs-sqr_binary64`
8×	`distribute-lft-neg-out_binary64` `count-2_binary64`
7×	`unpow1/3_binary64` `fabs-div_binary64`
6×	`log-rec_binary64` `rem-exp-log_binary64`
5×	`exp-neg_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `prod-exp_binary64`
3×	`cube-mult_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-rgt-neg-out_binary64`
2×	`rem-square-sqrt_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

147 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3527
1	471	2710
2	1083	2225
3	1907	2204
4	4389	2204
5	5008	2204

prune137.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	127	6	133

Error

0.0b

Counts

133 → 6

Compiler

Compiled 1960 to 1455 computations (25.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.2b	(cbrt.f64 (+.f64 1 x))
0.2b	(cbrt.f64 (+.f64 1 x))

rewrite374.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64`
65×	`add-sqr-sqrt_binary64`
57×	`sqrt-prod_binary64`
30×	`add-cube-cbrt_binary64`
29×	`cbrt-prod_binary64`
27×	`times-frac_binary64`
20×	`distribute-lft-out_binary64`
16×	`cbrt-div_binary64`
15×	`unswap-sqr_binary64`
13×	`fabs-mul_binary64`
12×	`associate-l_binary64`
10×	`add-exp-log_binary64` `associate-r_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `fabs-sqr_binary64` `associate-/r*_binary64`
8×	`pow1_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
6×	`fabs-div_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-flip_binary64` `associate-/l*_binary64`
2×	`pow1/3_binary64` `rem-sqrt-square_binary64` `mul-fabs_binary64` `associate-l/_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-/r/_binary64`
1×	`pow3_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 146

Calls

4 calls:

15.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
12.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 4350 to 3292 computations (24.3% saved)

series119.0ms (3.2%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

26.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
20.0ms	(cbrt.f64 (+.f64 1 x))
19.0ms	(cbrt.f64 (+.f64 1 x))
11.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

Compiler

Compiled 2179 to 1774 computations (18.6% saved)

simplify253.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

495×	`cancel-sign-sub-inv_binary64`
359×	`*-commutative_binary64`
280×	`sub-neg_binary64`
230×	`unswap-sqr_binary64`
190×	`log-prod_binary64`
186×	`times-frac_binary64`
161×	`exp-sum_binary64`
159×	`sqr-pow_binary64`
136×	`associate-r_binary64`
130×	`associate-l_binary64`
129×	`distribute-rgt-in_binary64` `associate-+r+_binary64` `+-commutative_binary64`
119×	`associate-+l+_binary64`
115×	`distribute-rgt-neg-in_binary64`
112×	`exp-prod_binary64`
110×	`distribute-lft-in_binary64`
96×	`neg-mul-1_binary64`
91×	`distribute-lft-neg-in_binary64`
87×	`neg-sub0_binary64`
78×	`div-exp_binary64`
76×	`unsub-neg_binary64` `associate-/r*_binary64`
67×	`log-pow_binary64`
66×	`div-sub_binary64`
65×	`associate-+r-_binary64`
64×	`associate-+l-_binary64`
63×	`associate-/l*_binary64`
61×	`distribute-rgt-out_binary64`
60×	`distribute-lft-out_binary64`
59×	`prod-exp_binary64`
55×	`associate--r+_binary64`
52×	`log-div_binary64`
51×	`exp-diff_binary64`
45×	`associate--l+_binary64`
41×	`pow-sqr_binary64`
39×	`distribute-rgt-out--_binary64`
38×	`exp-to-pow_binary64`
37×	`*-rgt-identity_binary64`
34×	`difference-of-squares_binary64`
32×	`+-rgt-identity_binary64`
29×	`sub0-neg_binary64`
28×	`cube-prod_binary64`
27×	`pow-plus_binary64` `associate-/l/_binary64`
26×	`fabs-mul_binary64` `*-lft-identity_binary64`
24×	`rem-sqrt-square_binary64`
20×	`cube-unmult_binary64`
19×	`distribute-lft-out--_binary64`
18×	`unpow3_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64`
17×	`associate--r-_binary64`
16×	`associate-/r/_binary64`
15×	`distribute-rgt1-in_binary64`
14×	`associate-*l/_binary64`
11×	`unpow1/3_binary64`
9×	`distribute-lft-neg-out_binary64` `associate--l-_binary64`
8×	`/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`fabs-sqr_binary64`
6×	`unpow2_binary64` `rem-exp-log_binary64` `+-lft-identity_binary64` `count-2_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64`
4×	`unpow-1_binary64` `exp-neg_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow1_binary64` `rec-exp_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
2×	`pow-base-1_binary64` `cube-div_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64`
1×	`log-E_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `distribute-neg-frac_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` `pow-base-0_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-neg_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

173 → 145

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	235	3671
1	473	3174
2	1070	2889
3	1681	2868
4	3441	2868
5	4748	2868
6	4895	2670
7	4866	2670
8	4804	2670

prune178.0ms (4.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	142	9	151

Error

0.0b

Counts

151 → 9

Compiler

Compiled 2681 to 1959 computations (26.9% saved)

regimes495.0ms (13.4%)

Accuracy

Total 0.1b remaining (79.5%)

Threshold costs 0.1b (79.5%)

Compiler

Compiled 7708 to 6331 computations (17.9% 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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample974.0ms (26.3%)

Algorithm

1×

intervals

Results

207.0ms	1939×	body	1024	valid
134.0ms	4287×	body	128	valid
91.0ms	1071×	body	512	valid
27.0ms	505×	body	256	valid
26.0ms	198×	body	2048	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 271 to 225 computations (17% 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

analyze27.0ms (0.7%)

sample28.0ms (0.7%)

simplify14.0ms (0.4%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite63.0ms (1.7%)

series27.0ms (0.7%)

simplify50.0ms (1.4%)

prune31.0ms (0.8%)

localize7.0ms (0.2%)

rewrite130.0ms (3.5%)

series26.0ms (0.7%)

simplify163.0ms (4.4%)

prune37.0ms (1%)

localize10.0ms (0.3%)

rewrite269.0ms (7.3%)

series116.0ms (3.1%)

simplify146.0ms (3.9%)

prune137.0ms (3.7%)

localize16.0ms (0.4%)

rewrite374.0ms (10.1%)

series119.0ms (3.2%)

simplify253.0ms (6.8%)

prune178.0ms (4.8%)

regimes495.0ms (13.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample974.0ms (26.3%)

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