Details

analyze370.0ms (10.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

357×	`associate-+l+_binary64`
171×	`associate-+r+_binary64`
25×	`+-commutative_binary64`
9×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64` `count-2_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`distribute-lft1-in_binary64` `distribute-lft-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `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-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	64
1	58	52
2	185	52
3	321	52
4	373	52
5	378	52
6	378	52
7	376	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	236×	body	128	valid
1.0ms	9×	body	512	valid
1.0ms	6×	body	1024	valid
0.0ms	3×	body	2048	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

141×	`associate-+l+_binary64`
75×	`associate-+r+_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`count-2_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `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-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	13
2	58	13
3	123	13
4	148	13
5	153	13
6	149	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64` `*-un-lft-identity_binary64`
1×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

11.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 242 to 129 computations (46.7% saved)

series42.0ms (1.2%)

Error

0.1b

Counts

1 → 18

Calls

1 calls:

31.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 226 to 232 computations (-2.7% saved)

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

515×	`prod-exp_binary64`
478×	`sub-neg_binary64`
374×	`associate-l_binary64`
281×	`associate--l-_binary64`
261×	`distribute-rgt-in_binary64`
255×	`associate-r_binary64`
239×	`distribute-lft-in_binary64`
206×	`+-commutative_binary64`
195×	`associate--r+_binary64`
192×	`associate--r-_binary64`
178×	`distribute-neg-in_binary64`
165×	`distribute-rgt-out_binary64`
161×	`associate--l+_binary64`
116×	`*-commutative_binary64`
105×	`distribute-lft-neg-in_binary64`
103×	`distribute-rgt-neg-in_binary64`
98×	`cancel-sign-sub-inv_binary64`
88×	`associate-+l+_binary64`
85×	`unsub-neg_binary64`
78×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
76×	`associate-+r+_binary64`
70×	`associate-+l-_binary64`
60×	`neg-sub0_binary64`
58×	`associate-+r-_binary64`
54×	`neg-mul-1_binary64`
39×	`distribute-lft-neg-out_binary64`
37×	`distribute-rgt-neg-out_binary64`
33×	`sub0-neg_binary64`
30×	`+-rgt-identity_binary64`
28×	`exp-sum_binary64` `unswap-sqr_binary64`
27×	`sqr-pow_binary64`
16×	`distribute-lft-out--_binary64`
15×	`cancel-sign-sub_binary64`
11×	`exp-prod_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
5×	`unpow3_binary64`
4×	`swap-sqr_binary64` `count-2_binary64`
3×	`unpow1_binary64` `exp-lft-sqr_binary64`
2×	`cube-mult_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`unpow1/2_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-lft1-in_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-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-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-*l/_binary64`

Counts

32 → 25

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	453
1	116	426
2	342	426
3	1316	426
4	2644	419
5	4693	419
6	5241	419

prune16.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.0b

Counts

26 → 5

Compiler

Compiled 268 to 141 computations (47.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64`
6×	`sum-log_binary64`
1×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 256 to 118 computations (53.9% saved)

series34.0ms (1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

31.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 226 to 232 computations (-2.7% saved)

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

553×	`sub-neg_binary64`
455×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
386×	`*-commutative_binary64`
336×	`+-commutative_binary64`
264×	`associate--r-_binary64`
209×	`distribute-rgt-out_binary64`
204×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
201×	`associate--r+_binary64`
200×	`distribute-neg-in_binary64`
167×	`distribute-rgt-neg-in_binary64`
156×	`associate-+l+_binary64`
155×	`associate-l_binary64`
153×	`distribute-lft-neg-in_binary64`
137×	`associate--l+_binary64`
121×	`associate-r_binary64`
113×	`associate-+r+_binary64`
104×	`associate-+l-_binary64`
101×	`distribute-rgt-out--_binary64`
94×	`unsub-neg_binary64`
80×	`associate-+r-_binary64`
63×	`neg-sub0_binary64`
58×	`unswap-sqr_binary64`
50×	`distribute-lft-out_binary64`
42×	`distribute-lft-neg-out_binary64`
36×	`sqr-pow_binary64`
34×	`prod-exp_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64`
28×	`exp-sum_binary64`
25×	`+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
13×	`count-2_binary64`
9×	`distribute-neg-out_binary64`
7×	`cube-unmult_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
6×	`unpow3_binary64` `cancel-sign-sub_binary64`
5×	`associate-/l/_binary64`
4×	`pow-plus_binary64` `exp-prod_binary64` `cube-mult_binary64` `swap-sqr_binary64` `associate-*r/_binary64`
3×	`sqr-neg_binary64` `associate-/l*_binary64`
2×	`exp-diff_binary64` `cube-prod_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_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` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--l-_binary64`

Counts

32 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	458
1	126	431
2	477	425
3	2135	425
4	3208	425
5	4919	425
6	5060	425

prune13.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Error

0.0b

Counts

29 → 5

Compiler

Compiled 241 to 117 computations (51.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (+.f64 y y) z) (*.f64 3 x))
0.1b	(.f64 x (.f64 x 9))
4.9b	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (*.f64 x 9)))
31.1b	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (.f64 x 9))) (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)))

rewrite150.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-log-exp_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `flip--_binary64` `diff-log_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `associate--l+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

35.0ms	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (.f64 x 9))) (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)))
18.0ms	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (*.f64 x 9)))
10.0ms	(-.f64 (+.f64 (+.f64 y y) z) (*.f64 3 x))
5.0ms	(.f64 x (.f64 x 9))

Compiler

Compiled 3228 to 1115 computations (65.5% saved)

series269.0ms (7.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

106.0ms	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (.f64 x 9))) (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)))
88.0ms	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 x (*.f64 x 9)))
39.0ms	(-.f64 (+.f64 (+.f64 y y) z) (*.f64 3 x))
8.0ms	(.f64 x (.f64 x 9))

Compiler

Compiled 3216 to 2290 computations (28.8% saved)

simplify145.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

485×	`times-frac_binary64`
326×	`div-sub_binary64`
303×	`cancel-sign-sub-inv_binary64`
209×	`distribute-rgt-neg-in_binary64`
182×	`distribute-lft-neg-in_binary64`
175×	`exp-prod_binary64`
160×	`associate-/l*_binary64`
150×	`associate-l_binary64`
149×	`associate-r_binary64`
107×	`unswap-sqr_binary64`
101×	`distribute-neg-frac_binary64` `*-commutative_binary64`
90×	`sub-neg_binary64`
84×	`exp-sum_binary64`
77×	`distribute-rgt-in_binary64`
76×	`distribute-lft-in_binary64`
70×	`+-commutative_binary64`
61×	`cube-prod_binary64`
55×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
52×	`log-prod_binary64`
49×	`distribute-neg-in_binary64`
48×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
43×	`associate-+r+_binary64`
40×	`associate-+l+_binary64`
38×	`associate-/r*_binary64`
35×	`distribute-lft-neg-out_binary64`
31×	`associate--l+_binary64`
29×	`associate-*l/_binary64`
28×	`swap-sqr_binary64` `associate-*r/_binary64`
26×	`associate-/r/_binary64`
24×	`unpow3_binary64`
21×	`exp-diff_binary64` `distribute-lft-out_binary64`
19×	`log-div_binary64` `cube-div_binary64`
18×	`cube-mult_binary64`
17×	`associate-/l/_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
12×	`difference-of-squares_binary64` `associate--r+_binary64`
11×	`div-exp_binary64`
10×	`exp-lft-cube_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
9×	`pow-plus_binary64`
8×	`rem-sqrt-square_binary64`
7×	`unpow1_binary64` `cube-unmult_binary64` `pow-sqr_binary64`
6×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
4×	`prod-exp_binary64` `*-inverses_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64` `exp-lft-sqr_binary64`
2×	`cube-neg_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `sqr-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_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` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

142 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	3643
1	593	3346
2	2294	3122
3	4520	3120
4	5218	3120

prune81.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Error

0.0b

Counts

133 → 5

Compiler

Compiled 2715 to 1161 computations (57.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x x) -9)
0.2b	(/.f64 1 (/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9))))
4.9b	(+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (.f64 x x) -9))
31.2b	(/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9)))

rewrite245.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`times-frac_binary64`
97×	`*-un-lft-identity_binary64`
66×	`add-sqr-sqrt_binary64`
65×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`
21×	`associate-/r*_binary64`
16×	`add-cbrt-cube_binary64` `distribute-lft-out_binary64`
11×	`associate-/r/_binary64`
10×	`pow1_binary64`
8×	`div-exp_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`associate-+r-_binary64` `div-sub_binary64` `sum-log_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

25.0ms	(/.f64 1 (/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9))))
20.0ms	(/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9)))
11.0ms	(+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (.f64 x x) -9))
6.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 6584 to 3429 computations (47.9% saved)

series405.0ms (11.4%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

146.0ms	(/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9)))
105.0ms	(/.f64 1 (/.f64 (+.f64 z (-.f64 (+.f64 y y) (.f64 x 3))) (+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (*.f64 x x) -9))))
89.0ms	(+.f64 (pow.f64 (+.f64 z (+.f64 y y)) 2) (.f64 (.f64 x x) -9))
9.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 5181 to 4143 computations (20% saved)

simplify254.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

253×	`sub-neg_binary64`
240×	`associate-/l*_binary64`
229×	`times-frac_binary64`
198×	`*-commutative_binary64`
173×	`associate-r_binary64`
172×	`associate-/r*_binary64`
161×	`+-commutative_binary64`
137×	`associate-l_binary64`
134×	`div-sub_binary64`
133×	`associate-/r/_binary64`
127×	`associate-*l/_binary64`
118×	`associate-+r+_binary64`
112×	`associate-*r/_binary64`
102×	`associate-+l+_binary64`
94×	`cancel-sign-sub-inv_binary64`
93×	`distribute-rgt-in_binary64`
91×	`associate--l+_binary64`
85×	`neg-mul-1_binary64`
82×	`neg-sub0_binary64` `distribute-lft-in_binary64`
74×	`associate-/l/_binary64`
64×	`associate--r+_binary64`
50×	`unsub-neg_binary64`
33×	`sqr-pow_binary64`
32×	`distribute-neg-in_binary64`
27×	`exp-prod_binary64`
25×	`cube-prod_binary64`
23×	`log-prod_binary64` `distribute-rgt-neg-in_binary64`
18×	`exp-sum_binary64`
15×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
9×	`log-div_binary64` `unpow3_binary64` `unpow2_binary64`
8×	`unpow1/2_binary64` `unpow1_binary64` `swap-sqr_binary64`
7×	`cube-mult_binary64`
6×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64`
5×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`log-rec_binary64` `*-rgt-identity_binary64` `associate--r-_binary64`
3×	`pow-plus_binary64` `remove-double-div_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`exp-diff_binary64` `cube-div_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64` `count-2_binary64`
1×	`log-pow_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `sub0-neg_binary64` `difference-of-squares_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

234 → 204

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	10874
1	1143	10261
2	4353	10261
3	5052	10261

prune143.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	204	5	209

Error

0.0b

Counts

209 → 5

Compiler

Compiled 5489 to 2810 computations (48.8% saved)

regimes459.0ms (12.8%)

Accuracy

Total 0.0b remaining (67.4%)

Threshold costs 0.0b (67.4%)

Compiler

Compiled 5876 to 4406 computations (25% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
2	12	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample659.0ms (18.5%)

Algorithm

1×

intervals

Results

220.0ms	7408×	body	128	valid
22.0ms	225×	body	1024	valid
12.0ms	99×	body	2048	valid
12.0ms	156×	body	512	valid
6.0ms	112×	body	256	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 111 to 92 computations (17.1% saved)

Details

analyze370.0ms (10.4%)

sample18.0ms (0.5%)

simplify12.0ms (0.3%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series42.0ms (1.2%)

simplify76.0ms (2.1%)

prune16.0ms (0.5%)

localize6.0ms (0.2%)

rewrite24.0ms (0.7%)

series34.0ms (1%)

simplify83.0ms (2.3%)

prune13.0ms (0.4%)

localize12.0ms (0.3%)

rewrite150.0ms (4.2%)

series269.0ms (7.5%)

simplify145.0ms (4.1%)

prune81.0ms (2.3%)

localize15.0ms (0.4%)

rewrite245.0ms (6.9%)

series405.0ms (11.4%)

simplify254.0ms (7.1%)

prune143.0ms (4%)

regimes459.0ms (12.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample659.0ms (18.5%)

Profiling