Details

analyze110.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
325×	`sqr-pow_binary64`
312×	`exp-prod_binary64`
277×	`*-commutative_binary64`
255×	`associate-/l*_binary64`
252×	`associate-l_binary64`
231×	`swap-sqr_binary64`
223×	`pow-sqr_binary64`
199×	`associate-/r*_binary64`
197×	`div-exp_binary64`
190×	`distribute-neg-frac_binary64`
177×	`times-frac_binary64`
171×	`associate-/l/_binary64` `associate-r_binary64`
163×	`distribute-rgt-neg-in_binary64`
160×	`div-sub_binary64`
149×	`associate-/r/_binary64`
117×	`cube-prod_binary64`
103×	`distribute-rgt-in_binary64`
96×	`distribute-lft-neg-in_binary64`
77×	`unpow3_binary64`
67×	`/-rgt-identity_binary64`
64×	`associate-*r/_binary64`
62×	`pow-plus_binary64`
52×	`prod-exp_binary64`
49×	`neg-mul-1_binary64`
47×	`sub-neg_binary64`
45×	`exp-sum_binary64`
44×	`neg-sub0_binary64`
43×	`exp-diff_binary64`
40×	`distribute-neg-in_binary64`
39×	`cube-mult_binary64`
38×	`rem-sqrt-square_binary64`
37×	`associate-*l/_binary64`
34×	`cancel-sign-sub-inv_binary64`
31×	`exp-sqrt_binary64`
30×	`distribute-lft-in_binary64`
29×	`*-lft-identity_binary64`
27×	`cube-div_binary64` `distribute-lft-neg-out_binary64`
23×	`distribute-rgt-out_binary64`
21×	`distribute-rgt-neg-out_binary64`
19×	`associate-+l-_binary64`
17×	`exp-lft-sqr_binary64`
16×	`remove-double-div_binary64`
15×	`remove-double-neg_binary64` `associate--r+_binary64`
13×	`unpow1/2_binary64` `cube-unmult_binary64` `unsub-neg_binary64`
12×	`unpow1_binary64` `rec-exp_binary64`
11×	`+-rgt-identity_binary64`
10×	`unpow2_binary64` `distribute-frac-neg_binary64`
7×	`*-rgt-identity_binary64` `+-commutative_binary64`
5×	`distribute-neg-out_binary64`
4×	`distribute-lft-out_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`unpow-1_binary64` `rem-square-sqrt_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	20	13
3	27	13
4	42	13
5	72	13
6	138	13
7	259	13
8	643	13
9	1835	13
10	2573	13
11	3150	13
12	4095	13
13	4757	13
14	4783	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify93.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
325×	`sqr-pow_binary64`
312×	`exp-prod_binary64`
277×	`*-commutative_binary64`
255×	`associate-/l*_binary64`
252×	`associate-l_binary64`
231×	`swap-sqr_binary64`
223×	`pow-sqr_binary64`
199×	`associate-/r*_binary64`
197×	`div-exp_binary64`
190×	`distribute-neg-frac_binary64`
177×	`times-frac_binary64`
171×	`associate-/l/_binary64` `associate-r_binary64`
163×	`distribute-rgt-neg-in_binary64`
160×	`div-sub_binary64`
149×	`associate-/r/_binary64`
117×	`cube-prod_binary64`
103×	`distribute-rgt-in_binary64`
96×	`distribute-lft-neg-in_binary64`
77×	`unpow3_binary64`
67×	`/-rgt-identity_binary64`
64×	`associate-*r/_binary64`
62×	`pow-plus_binary64`
52×	`prod-exp_binary64`
49×	`neg-mul-1_binary64`
47×	`sub-neg_binary64`
45×	`exp-sum_binary64`
44×	`neg-sub0_binary64`
43×	`exp-diff_binary64`
40×	`distribute-neg-in_binary64`
39×	`cube-mult_binary64`
38×	`rem-sqrt-square_binary64`
37×	`associate-*l/_binary64`
34×	`cancel-sign-sub-inv_binary64`
31×	`exp-sqrt_binary64`
30×	`distribute-lft-in_binary64`
29×	`*-lft-identity_binary64`
27×	`cube-div_binary64` `distribute-lft-neg-out_binary64`
23×	`distribute-rgt-out_binary64`
21×	`distribute-rgt-neg-out_binary64`
19×	`associate-+l-_binary64`
17×	`exp-lft-sqr_binary64`
16×	`remove-double-div_binary64`
15×	`remove-double-neg_binary64` `associate--r+_binary64`
13×	`unpow1/2_binary64` `cube-unmult_binary64` `unsub-neg_binary64`
12×	`unpow1_binary64` `rec-exp_binary64`
11×	`+-rgt-identity_binary64`
10×	`unpow2_binary64` `distribute-frac-neg_binary64`
7×	`*-rgt-identity_binary64` `+-commutative_binary64`
5×	`distribute-neg-out_binary64`
4×	`distribute-lft-out_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`unpow-1_binary64` `rem-square-sqrt_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	20	13
3	27	13
4	42	13
5	72	13
6	138	13
7	259	13
8	643	13
9	1835	13
10	2573	13
11	3150	13
12	4095	13
13	4757	13
14	4783	13

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite61.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`cosh-undef_binary64` `distribute-lft-out_binary64` `associate-/r*_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 734 to 267 computations (63.6% saved)

series31.0ms (1.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

12.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 249 to 221 computations (11.2% saved)

simplify112.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-l_binary64`
465×	`associate-r_binary64`
292×	`times-frac_binary64`
257×	`distribute-rgt-in_binary64`
251×	`log-prod_binary64`
225×	`distribute-lft-in_binary64`
214×	`cancel-sign-sub-inv_binary64`
190×	`associate-/r*_binary64`
183×	`exp-prod_binary64`
135×	`associate-/l*_binary64`
122×	`cube-prod_binary64`
92×	`div-sub_binary64`
86×	`log-div_binary64`
81×	`sub-neg_binary64`
77×	`neg-mul-1_binary64`
70×	`log-pow_binary64` `distribute-rgt-neg-in_binary64`
66×	`distribute-lft-neg-in_binary64`
62×	`associate-/l/_binary64`
59×	`*-commutative_binary64`
57×	`associate-*l/_binary64`
55×	`associate-+l-_binary64`
54×	`unswap-sqr_binary64`
51×	`associate-/r/_binary64`
48×	`distribute-rgt-out_binary64`
46×	`associate-*r/_binary64`
45×	`prod-exp_binary64` `+-commutative_binary64`
43×	`exp-sum_binary64` `associate-+l+_binary64`
40×	`distribute-lft-out_binary64`
38×	`associate-+r+_binary64`
35×	`sqr-pow_binary64`
32×	`div-exp_binary64`
27×	`associate--r+_binary64`
26×	`cube-div_binary64` `associate--l+_binary64`
23×	`neg-sub0_binary64` `distribute-rgt-out--_binary64`
22×	`distribute-lft-out--_binary64` `associate-+r-_binary64`
15×	`cube-unmult_binary64` `unsub-neg_binary64`
14×	`pow-plus_binary64` `swap-sqr_binary64`
13×	`exp-diff_binary64` `*-rgt-identity_binary64` `distribute-neg-in_binary64`
12×	`unpow3_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
10×	`log-rec_binary64`
9×	`*-lft-identity_binary64` `associate--l-_binary64`
8×	`rec-exp_binary64` `pow-sqr_binary64`
7×	`cube-mult_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
6×	`rem-log-exp_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64`
4×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64`
3×	`difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`exp-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul0-lft_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64`
1×	`cosh-def_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_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` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_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` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

62 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1122
1	233	1030
2	504	1026
3	1075	1026
4	4039	1026
5	4848	1026
6	5031	1026

prune20.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

Counts

31 → 3

Compiler

Compiled 294 to 173 computations (41.2% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

rewrite129.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
41×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
36×	`associate-r_binary64`
14×	`cosh-undef_binary64` `distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`unswap-sqr_binary64` `associate-l_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 130

Calls

3 calls:

19.0ms	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 2216 to 1158 computations (47.7% saved)

series62.0ms (3.7%)

Error

Counts

3 → 18

Calls

3 calls:

23.0ms	(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
17.0ms	(/.f64 (sqrt.f64 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 654 to 605 computations (7.5% saved)

simplify161.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

398×	`associate-/l*_binary64`
278×	`cancel-sign-sub-inv_binary64`
243×	`associate-*l/_binary64`
224×	`div-sub_binary64`
211×	`associate-/l/_binary64`
197×	`associate-*r/_binary64`
194×	`distribute-rgt-in_binary64`
176×	`*-commutative_binary64`
168×	`distribute-lft-in_binary64`
162×	`times-frac_binary64`
154×	`sub-neg_binary64`
130×	`associate-+l-_binary64`
122×	`distribute-rgt-neg-in_binary64`
111×	`associate-r_binary64`
107×	`associate-l_binary64`
102×	`distribute-lft-neg-in_binary64`
101×	`associate--l+_binary64`
94×	`associate-/r*_binary64`
92×	`unswap-sqr_binary64`
79×	`associate-/r/_binary64`
76×	`*-lft-identity_binary64`
73×	`exp-prod_binary64`
65×	`*-rgt-identity_binary64`
62×	`associate--r+_binary64`
59×	`+-commutative_binary64`
58×	`remove-double-div_binary64`
56×	`sqr-pow_binary64` `associate-+l+_binary64`
50×	`associate-+r+_binary64`
48×	`associate--l-_binary64`
45×	`cube-prod_binary64` `distribute-neg-frac_binary64`
44×	`neg-mul-1_binary64`
43×	`neg-sub0_binary64`
37×	`exp-sum_binary64` `/-rgt-identity_binary64`
34×	`distribute-lft-out_binary64` `associate-+r-_binary64`
33×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
31×	`log-div_binary64`
29×	`log-prod_binary64`
28×	`unsub-neg_binary64`
27×	`cube-div_binary64`
22×	`distribute-rgt-out_binary64`
20×	`prod-exp_binary64`
19×	`swap-sqr_binary64` `associate--r-_binary64`
18×	`exp-diff_binary64` `distribute-neg-in_binary64`
17×	`unpow3_binary64` `+-rgt-identity_binary64`
15×	`sub0-neg_binary64`
12×	`pow-sqr_binary64`
11×	`cube-unmult_binary64`
10×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
8×	`log-rec_binary64`
7×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64`
6×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
5×	`div-exp_binary64`
4×	`unpow1/2_binary64`
3×	`log-pow_binary64` `difference-of-sqr--1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `exp-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64`
1×	`cosh-def_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `lft-mult-inverse_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` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

148 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	3258
1	420	2932
2	1264	2892
3	2977	2868
4	4526	2868
5	4886	2868

prune50.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 3

Compiler

Compiled 1086 to 601 computations (44.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (.f64 1/2 (.f64 x x)))
0.0b	(.f64 1/2 (.f64 x x))

rewrite30.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
1×	`unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(.f64 1/2 (.f64 x x))
3.0ms	(-.f64 1 (.f64 1/2 (.f64 x x)))

Compiler

Compiled 391 to 254 computations (35% saved)

series23.0ms (1.4%)

Error

Counts

2 → 9

Calls

2 calls:

14.0ms	(-.f64 1 (.f64 1/2 (.f64 x x)))
7.0ms	(.f64 1/2 (.f64 x x))

Compiler

Compiled 108 to 108 computations (0% saved)

simplify100.0ms (6%)

Algorithm

1×	egg-herbie

Rules

429×	`distribute-rgt-neg-in_binary64`
398×	`neg-mul-1_binary64`
392×	`distribute-lft-neg-in_binary64`
308×	`unsub-neg_binary64`
295×	`associate-l_binary64`
276×	`cancel-sign-sub-inv_binary64`
273×	`*-commutative_binary64`
245×	`associate-r_binary64`
186×	`distribute-neg-out_binary64`
173×	`distribute-rgt-neg-out_binary64`
172×	`unswap-sqr_binary64`
170×	`distribute-lft-neg-out_binary64`
152×	`exp-prod_binary64`
138×	`distribute-rgt-out_binary64`
133×	`distribute-rgt-in_binary64`
115×	`sqr-pow_binary64`
105×	`distribute-lft-in_binary64`
96×	`times-frac_binary64`
94×	`neg-sub0_binary64`
92×	`associate-/l*_binary64`
70×	`log-prod_binary64`
69×	`cube-prod_binary64`
44×	`log-div_binary64`
42×	`sub-neg_binary64`
40×	`associate-+l+_binary64`
36×	`associate-+r+_binary64`
34×	`rem-sqrt-square_binary64`
33×	`swap-sqr_binary64`
29×	`associate-/l/_binary64`
26×	`cube-div_binary64` `div-sub_binary64`
24×	`pow-sqr_binary64`
23×	`distribute-neg-in_binary64`
22×	`cancel-sign-sub_binary64`
21×	`pow-plus_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64`
19×	`associate-/r/_binary64`
18×	`*-rgt-identity_binary64`
17×	`log-pow_binary64` `exp-sum_binary64` `*-lft-identity_binary64` `+-commutative_binary64`
16×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
14×	`unpow3_binary64` `associate-/r*_binary64`
13×	`cube-unmult_binary64` `sqr-neg_binary64`
11×	`exp-diff_binary64`
10×	`unpow1/2_binary64`
9×	`distribute-lft1-in_binary64`
8×	`cube-mult_binary64`
7×	`associate-+l-_binary64`
6×	`sub0-neg_binary64`
4×	`log-rec_binary64` `exp-neg_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
3×	`prod-exp_binary64` `difference-of-sqr-1_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
2×	`+-rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

40 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	441
1	133	411
2	358	398
3	1143	398
4	2242	398
5	4212	398
6	4960	398
7	4844	398

prune9.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 135 to 98 computations (27.4% saved)

regimes121.0ms (7.3%)

Accuracy

Total 0.0b remaining (83.9%)

Threshold costs 0.0b (83.9%)

Compiler

Compiled 1237 to 962 computations (22.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_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` `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` `unsub-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	11	36
1	16	36
2	18	36
3	19	36
4	19	36

end1.0ms (0.1%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

sample512.0ms (30.8%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 60 to 52 computations (13.3% saved)

Details

analyze110.0ms (6.6%)

sample14.0ms (0.8%)

simplify93.0ms (5.6%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

rewrite61.0ms (3.7%)

series31.0ms (1.9%)

simplify112.0ms (6.7%)

prune20.0ms (1.2%)

localize9.0ms (0.5%)

rewrite129.0ms (7.8%)

series62.0ms (3.7%)

simplify161.0ms (9.7%)

prune50.0ms (3%)

localize4.0ms (0.3%)

rewrite30.0ms (1.8%)

series23.0ms (1.4%)

simplify100.0ms (6%)

prune9.0ms (0.5%)

regimes121.0ms (7.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0.1%)

sample512.0ms (30.8%)

Profiling