Details

analyze572.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

11×	`+-commutative_binary64`
6×	`*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `1-exp_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` `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` `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-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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--r-_binary64` `associate--l-_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	41	210
1	45	210
2	45	210
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64 +-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 1-exp_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 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 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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_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--r-_binary64 associate--l-_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	14	30
1	18	30
2	18	30

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

27.5b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
27.0b	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
3.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1186 to 158 computations (86.7% saved)

series127.0ms (1.8%)

Error

5.7b

Counts

2 → 48

Calls

2 calls:

75.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
37.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1154 to 906 computations (21.5% saved)

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

781×	`distribute-rgt-in_binary64`
412×	`associate-l_binary64`
331×	`associate-r_binary64`
281×	`unswap-sqr_binary64`
277×	`times-frac_binary64`
233×	`cancel-sign-sub-inv_binary64`
176×	`distribute-rgt-out_binary64`
166×	`distribute-lft-in_binary64`
148×	`*-commutative_binary64`
135×	`distribute-rgt-neg-in_binary64`
113×	`distribute-lft-neg-in_binary64`
109×	`distribute-lft-out_binary64`
86×	`associate-/l*_binary64`
73×	`sub-neg_binary64`
58×	`sqr-pow_binary64`
55×	`distribute-lft-neg-out_binary64`
54×	`associate-*l/_binary64`
53×	`associate-/r*_binary64`
47×	`associate-/l/_binary64`
41×	`associate-*r/_binary64`
38×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`associate-+l+_binary64` `associate-+r+_binary64`
32×	`distribute-rgt-neg-out_binary64`
30×	`associate-/r/_binary64`
23×	`difference-of-squares_binary64` `+-commutative_binary64`
22×	`distribute-rgt-out--_binary64`
18×	`cube-prod_binary64`
17×	`div-sub_binary64` `unsub-neg_binary64`
14×	`associate-+r-_binary64`
13×	`cube-unmult_binary64`
12×	`exp-prod_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
10×	`unpow3_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64`
9×	`sub0-neg_binary64`
8×	`*-rgt-identity_binary64`
7×	`distribute-neg-frac_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64`
4×	`*-lft-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64`
3×	`log-div_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-div_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-pow_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` `exp-sqrt_binary64` `div-exp_binary64` `rec-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-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` `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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

90 → 55

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	2446
1	274	2283
2	815	2283
3	2481	2283
4	5131	2283

prune70.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Error

27.3b

Counts

56 → 8

Compiler

Compiled 1205 to 547 computations (54.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
17.4b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
30.3b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
30.3b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite233.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

Rules

43×	`*-un-lft-identity_binary64`
28×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
8×	`associate-/r*_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
4.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3118 to 1219 computations (60.9% saved)

series324.0ms (4.6%)

Error

24.2b

Counts

4 → 91

Calls

4 calls:

106.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
50.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
46.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
44.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 4537 to 3166 computations (30.2% saved)

simplify175.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

527×	`associate-l_binary64`
503×	`associate-r_binary64`
387×	`times-frac_binary64`
322×	`associate-/l*_binary64`
202×	`cancel-sign-sub-inv_binary64`
191×	`associate-/r*_binary64`
158×	`associate-*l/_binary64`
151×	`distribute-rgt-neg-in_binary64`
138×	`distribute-lft-neg-in_binary64`
137×	`associate-*r/_binary64`
110×	`distribute-rgt-in_binary64`
87×	`sub-neg_binary64`
83×	`distribute-lft-in_binary64`
73×	`distribute-neg-frac_binary64`
69×	`associate-/l/_binary64` `associate-/r/_binary64`
67×	`*-commutative_binary64`
63×	`div-sub_binary64`
60×	`unswap-sqr_binary64`
52×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64`
39×	`+-commutative_binary64`
37×	`sqr-pow_binary64`
25×	`distribute-rgt-out_binary64`
17×	`distribute-lft-neg-out_binary64`
16×	`unsub-neg_binary64` `distribute-rgt-out--_binary64`
15×	`cube-unmult_binary64` `cube-prod_binary64` `associate--r+_binary64`
14×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
13×	`exp-prod_binary64`
12×	`unpow3_binary64` `pow-plus_binary64` `associate--l+_binary64`
10×	`cube-mult_binary64`
9×	`difference-of-squares_binary64`
8×	`*-rgt-identity_binary64`
7×	`associate-+l+_binary64`
6×	`pow-sqr_binary64` `associate-+r-_binary64`
5×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
4×	`log-div_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
3×	`+-rgt-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `associate-+l-_binary64`
1×	`log-prod_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-div_binary64` `*-lft-identity_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` `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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

185 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	5040
1	463	4727
2	1386	4727
3	4943	4721
4	5008	4721

prune96.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	87	10	97

Error

25.2b

Counts

97 → 10

Compiler

Compiled 1768 to 836 computations (52.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
0.6b	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
27.2b	(.f64 (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))

rewrite191.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

52×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
30×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
16×	`add-exp-log_binary64`
14×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
10×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
4×	`div-exp_binary64` `prod-exp_binary64` `associate-/r/_binary64`
3×	`unswap-sqr_binary64` `associate-l_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `un-div-inv_binary64` `associate-r/_binary64` `-commutative_binary64` `sum-log_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 100

Calls

3 calls:

19.0ms	(.f64 (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
10.0ms	(/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 2551 to 1395 computations (45.3% saved)

series148.0ms (2.1%)

Error

25.2b

Counts

3 → 54

Calls

3 calls:

74.0ms	(.f64 (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
46.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
17.0ms	(/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 1462 to 1261 computations (13.7% saved)

simplify163.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
342×	`distribute-rgt-in_binary64`
329×	`distribute-lft-in_binary64`
263×	`*-commutative_binary64`
227×	`associate-/l/_binary64`
219×	`div-sub_binary64`
200×	`associate-/r/_binary64`
175×	`associate-/l*_binary64`
149×	`associate-*l/_binary64`
145×	`unswap-sqr_binary64`
143×	`associate-*r/_binary64`
124×	`cancel-sign-sub-inv_binary64`
118×	`associate-l_binary64`
106×	`distribute-rgt-neg-in_binary64`
99×	`associate-r_binary64`
87×	`distribute-lft-neg-in_binary64`
77×	`sqr-pow_binary64`
72×	`sub-neg_binary64`
70×	`associate-/r*_binary64`
59×	`*-rgt-identity_binary64`
53×	`distribute-rgt-out_binary64`
52×	`exp-prod_binary64`
50×	`*-lft-identity_binary64`
45×	`neg-mul-1_binary64` `associate-+r+_binary64`
44×	`neg-sub0_binary64`
42×	`associate-+l+_binary64`
32×	`distribute-lft-neg-out_binary64`
29×	`+-commutative_binary64`
28×	`unsub-neg_binary64`
23×	`difference-of-squares_binary64`
21×	`cube-prod_binary64` `associate-+r-_binary64`
20×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
16×	`pow-sqr_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
14×	`associate-+l-_binary64`
13×	`unpow3_binary64`
12×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64`
11×	`distribute-lft-out_binary64`
10×	`exp-sum_binary64`
9×	`cube-mult_binary64` `distribute-neg-frac_binary64`
8×	`pow-plus_binary64` `cube-unmult_binary64` `sub0-neg_binary64`
6×	`cube-div_binary64`
5×	`log-div_binary64` `unpow1/2_binary64`
4×	`log-prod_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_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-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-diff_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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `associate--r-_binary64`

Counts

154 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	3729
1	355	3449
2	1210	3325
3	2811	3325
4	4571	3325
5	5019	3325

prune79.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Error

25.2b

Counts

106 → 10

Compiler

Compiled 1531 to 851 computations (44.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

17.9b	(cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
17.9b	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
17.9b	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
19.1b	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (+.f64 (.f64 y.im x.im) (*.f64 y.re x.re)))))

rewrite234.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

96×	`times-frac_binary64`
89×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
39×	`cbrt-prod_binary64`
36×	`associate-/r*_binary64`
24×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
22×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
11×	`flip3-+_binary64` `flip-+_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64`
3×	`div-inv_binary64` `pow1/3_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 139

Calls

4 calls:

26.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (+.f64 (.f64 y.im x.im) (*.f64 y.re x.re)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
3.0ms	(cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))

Compiler

Compiled 6571 to 1743 computations (73.5% saved)

series473.0ms (6.7%)

Error

25.2b

Counts

4 → 90

Calls

4 calls:

116.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (+.f64 (.f64 y.im x.im) (*.f64 y.re x.re)))))
97.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
97.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
92.0ms	(cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))

Compiler

Compiled 8841 to 5750 computations (35% saved)

simplify323.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-/r*_binary64`
567×	`associate-/r/_binary64`
197×	`distribute-rgt-in_binary64`
177×	`distribute-lft-in_binary64`
175×	`associate-/l*_binary64`
164×	`associate-l_binary64`
162×	`associate-/l/_binary64`
149×	`*-commutative_binary64`
146×	`associate-r_binary64`
134×	`times-frac_binary64`
131×	`associate-*l/_binary64`
97×	`unswap-sqr_binary64`
90×	`cancel-sign-sub-inv_binary64`
81×	`sub-neg_binary64`
70×	`sqr-pow_binary64`
68×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
56×	`associate-*r/_binary64`
53×	`log-prod_binary64`
42×	`neg-mul-1_binary64` `neg-sub0_binary64`
41×	`*-rgt-identity_binary64`
40×	`exp-sum_binary64`
39×	`+-commutative_binary64`
38×	`log-div_binary64`
28×	`distribute-lft-neg-out_binary64`
24×	`exp-prod_binary64`
17×	`unsub-neg_binary64`
16×	`distribute-rgt-out_binary64`
14×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
13×	`log-pow_binary64` `distribute-neg-in_binary64`
11×	`unpow1/3_binary64` `cube-prod_binary64` `div-sub_binary64` `distribute-lft-out--_binary64`
10×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
9×	`exp-diff_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
8×	`unpow3_binary64` `cube-mult_binary64`
6×	`log-rec_binary64` `cube-div_binary64` `remove-double-neg_binary64`
5×	`cube-unmult_binary64` `/-rgt-identity_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64`
2×	`rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `+-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-lft1-in_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

229 → 194

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	12007
1	830	10736
2	2615	10643
3	4961	10643
4	4993	10643

prune177.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	194	10	204

Error

25.2b

Counts

204 → 10

Compiler

Compiled 6368 to 2112 computations (66.8% saved)

regimes2.3s (33.1%)

Accuracy

Total -7.7b remaining (-53.1%)

Threshold costs -7.7b (-53.1%)

Compiler

Compiled 19269 to 13271 computations (31.1% saved)

bsearch69.0ms (1%)

Steps

Iters	Range		Point
8	1.1206515766963426e+109	2.0941289985188146e+112	4.6122899397645205e+110
8	8.072578226233312e-119	8.348583258274886e-115	8.461756974617389e-119
8	-7.403937533133293e-111	-1.1325550453202653e-114	-2.5745863487788416e-111
6	-6.390321185109893e+147	-1.4405428724937755e+147	-1.9684429409544687e+147

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	157
1	44	157
2	44	157

end2.0ms (0%)

Compiler: Compiled 83 to 45 computations (45.8% saved)

sample991.0ms (14%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
18.0ms	450×	body	128	invalid

Compiler

Compiled 340 to 251 computations (26.2% saved)

Details

analyze572.0ms (8.1%)

sample22.0ms (0.3%)

simplify11.0ms (0.2%)

prune1.0ms (0%)

localize10.0ms (0.1%)

rewrite75.0ms (1.1%)

series127.0ms (1.8%)

simplify97.0ms (1.4%)

prune70.0ms (1%)

localize18.0ms (0.2%)

rewrite233.0ms (3.3%)

series324.0ms (4.6%)

simplify175.0ms (2.5%)

prune96.0ms (1.4%)

localize11.0ms (0.2%)

rewrite191.0ms (2.7%)

series148.0ms (2.1%)

simplify163.0ms (2.3%)

prune79.0ms (1.1%)

localize22.0ms (0.3%)

rewrite234.0ms (3.3%)

series473.0ms (6.7%)

simplify323.0ms (4.6%)

prune177.0ms (2.5%)

regimes2.3s (33.1%)

bsearch69.0ms (1%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample991.0ms (14%)

Profiling