Metrics for math.exp on complex, real part

analyze154.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

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 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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
2	11	16
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample39.0ms (1.9%)

Algorithm

1×

intervals

Results

12.0ms	37×	body	1024	valid
8.0ms	192×	body	128	valid
4.0ms	23×	body	1024	invalid
3.0ms	22×	body	512	valid
1.0ms	6×	body	512	invalid
0.0ms	5×	body	256	valid
0.0ms	4×	body	256	invalid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1× *-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 +-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

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

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(cos.f64 im)

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`add-exp-log_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`add-log-exp_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 25

Calls

2 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(cos.f64 im)

Compiler

Compiled 242 to 67 computations (72.3% saved)

series41.0ms (2%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

23.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(cos.f64 im)

Compiler

Compiled 393 to 294 computations (25.2% saved)

simplify106.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

378×	`sub-neg_binary64`
367×	`distribute-rgt-neg-in_binary64`
360×	`cancel-sign-sub-inv_binary64`
303×	`*-commutative_binary64`
287×	`distribute-lft-neg-in_binary64`
271×	`distribute-rgt-in_binary64`
264×	`distribute-lft-in_binary64`
260×	`associate-+l+_binary64`
239×	`associate-l_binary64`
221×	`associate-+r+_binary64`
212×	`distribute-lft-out_binary64`
211×	`unswap-sqr_binary64`
198×	`associate-r_binary64`
180×	`distribute-rgt-out_binary64`
163×	`neg-mul-1_binary64`
148×	`neg-sub0_binary64`
95×	`distribute-lft-out--_binary64`
88×	`distribute-rgt-out--_binary64`
83×	`distribute-neg-in_binary64`
73×	`sqr-pow_binary64`
72×	`unsub-neg_binary64` `+-commutative_binary64`
71×	`associate--l+_binary64` `associate-+l-_binary64`
60×	`cube-prod_binary64`
49×	`pow-sqr_binary64`
47×	`exp-prod_binary64`
46×	`exp-sum_binary64`
43×	`remove-double-neg_binary64`
37×	`associate--l-_binary64`
36×	`sub0-neg_binary64`
32×	`associate-+r-_binary64`
30×	`log-prod_binary64` `unpow3_binary64`
29×	`distribute-lft-neg-out_binary64`
26×	`distribute-rgt1-in_binary64`
25×	`associate--r-_binary64`
22×	`pow-plus_binary64` `cube-unmult_binary64`
20×	`+-rgt-identity_binary64` `associate--r+_binary64`
17×	`*-rgt-identity_binary64`
16×	`*-lft-identity_binary64`
15×	`cube-mult_binary64`
13×	`rem-sqrt-square_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
12×	`distribute-rgt-neg-out_binary64` `associate-/l*_binary64`
11×	`log-pow_binary64`
10×	`swap-sqr_binary64`
9×	`div-sub_binary64` `--rgt-identity_binary64`
7×	`cancel-sign-sub_binary64` `associate-/l/_binary64`
5×	`unpow1/2_binary64` `cube-neg_binary64` `sqr-neg_binary64`
4×	`exp-to-pow_binary64` `rem-log-exp_binary64` `associate-*r/_binary64`
3×	`unpow1_binary64` `prod-exp_binary64` `associate-/r*_binary64`
2×	`unpow2_binary64` `exp-lft-sqr_binary64` `exp-diff_binary64` `rem-exp-log_binary64` `associate-/r/_binary64`
1×	`cos-neg_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_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` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `+-lft-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` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

43 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	534
1	192	487
2	522	468
3	1294	458
4	2916	458
5	4608	458
6	4805	458
7	4900	458

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

0b

Counts

27 → 2

Compiler

Compiled 240 to 111 computations (53.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(cos.f64 im)
0.0b	(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
0.1b	(exp.f64 (cos.f64 im))
0.3b	(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))

rewrite45.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64` `exp-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64`
4×	`add-cbrt-cube_binary64` `pow-pow_binary64`
3×	`rem-log-exp_binary64` `pow-unpow_binary64`
2×	`sqr-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`log-pow_binary64` `rem-exp-log_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
3.0ms	(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))
2.0ms	(exp.f64 (cos.f64 im))
1.0ms	(cos.f64 im)

Compiler

Compiled 687 to 193 computations (71.9% saved)

series138.0ms (6.8%)

Error

0b

Counts

4 → 36

Calls

4 calls:

54.0ms	(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))
45.0ms	(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
8.0ms	(exp.f64 (cos.f64 im))
8.0ms	(cos.f64 im)

Compiler

Compiled 1405 to 892 computations (36.5% saved)

simplify138.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

455×	`*-commutative_binary64`
321×	`distribute-rgt-neg-in_binary64`
316×	`sub-neg_binary64`
292×	`cancel-sign-sub-inv_binary64`
283×	`associate-+l+_binary64`
239×	`associate-+r+_binary64`
202×	`associate-r_binary64`
183×	`distribute-rgt-out_binary64`
167×	`+-commutative_binary64`
148×	`associate-l_binary64`
145×	`unswap-sqr_binary64`
128×	`sqr-pow_binary64`
113×	`log-prod_binary64`
108×	`associate--r+_binary64`
107×	`log-pow_binary64`
100×	`exp-prod_binary64`
96×	`distribute-lft-neg-in_binary64`
89×	`associate--l+_binary64`
77×	`neg-mul-1_binary64` `neg-sub0_binary64`
73×	`distribute-lft-out_binary64`
63×	`distribute-rgt-in_binary64`
60×	`unsub-neg_binary64`
58×	`distribute-neg-in_binary64`
49×	`distribute-lft-in_binary64`
48×	`pow-sqr_binary64`
36×	`associate-+l-_binary64`
33×	`cube-prod_binary64`
27×	`prod-exp_binary64` `associate-+r-_binary64`
25×	`unpow3_binary64` `swap-sqr_binary64`
23×	`exp-sum_binary64`
22×	`exp-to-pow_binary64`
18×	`pow-plus_binary64`
16×	`distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
15×	`sub0-neg_binary64` `+-rgt-identity_binary64`
14×	`cube-unmult_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`*-lft-identity_binary64`
11×	`log-div_binary64`
10×	`rem-sqrt-square_binary64` `-rgt-identity_binary64` `count-2_binary64` `associate-/l_binary64`
7×	`unpow1/2_binary64` `cube-mult_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
6×	`associate-*r/_binary64`
5×	`pow-base-1_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
4×	`unpow2_binary64` `rem-log-exp_binary64`
3×	`cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
2×	`log-rec_binary64` `exp-sqrt_binary64` `rem-exp-log_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`log-E_binary64` `exp-lft-sqr_binary64` `e-exp-1_binary64` `1-exp_binary64` `/-rgt-identity_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_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` `times-frac_binary64` `div-sub_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` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64`

Counts

92 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1569
1	453	1442
2	1471	1319
3	3861	1319
4	4783	1319
5	4982	1319
6	4958	1319

prune30.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

0b

Counts

62 → 2

Compiler

Compiled 685 to 324 computations (52.7% saved)

regimes72.0ms (3.6%)

Accuracy

Total 0.0b remaining (29.3%)

Threshold costs 0.0b (29.3%)

Compiler

Compiled 207 to 270 computations (-30.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

sample1.2s (59.4%)

Algorithm

1×

intervals

Results

306.0ms	1302×	body	1024	valid
231.0ms	5667×	body	128	valid
113.0ms	677×	body	1024	invalid
87.0ms	705×	body	512	valid
35.0ms	310×	body	512	invalid
26.0ms	322×	body	256	valid
12.0ms	151×	body	256	invalid
9.0ms	185×	body	128	invalid
1.0ms	4×	body	2048	valid

Compiler

Compiled 26 to 34 computations (-30.8% saved)

Details

analyze154.0ms (7.6%)

sample39.0ms (1.9%)

simplify8.0ms (0.4%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite21.0ms (1%)

series41.0ms (2%)

simplify106.0ms (5.2%)

prune15.0ms (0.8%)

localize8.0ms (0.4%)

rewrite45.0ms (2.2%)

series138.0ms (6.8%)

simplify138.0ms (6.8%)

prune30.0ms (1.5%)

regimes72.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.2s (59.4%)

Profiling