Details

analyze166.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

656×	`sub-neg_binary64`
524×	`cancel-sign-sub-inv_binary64`
504×	`associate-l_binary64`
330×	`associate-r_binary64`
320×	`distribute-rgt-neg-in_binary64`
304×	`sqr-pow_binary64`
268×	`distribute-neg-in_binary64`
264×	`distribute-lft-neg-in_binary64`
254×	`unsub-neg_binary64`
244×	`associate--r+_binary64`
240×	`distribute-rgt-in_binary64`
236×	`neg-sub0_binary64`
228×	`neg-mul-1_binary64`
226×	`associate-+l-_binary64`
196×	`+-commutative_binary64`
180×	`distribute-lft-in_binary64`
152×	`unswap-sqr_binary64`
150×	`distribute-lft-neg-out_binary64`
134×	`sub0-neg_binary64`
132×	`associate--r-_binary64`
118×	`cube-prod_binary64`
116×	`*-commutative_binary64`
114×	`--rgt-identity_binary64`
102×	`distribute-rgt-neg-out_binary64`
100×	`pow-sqr_binary64`
98×	`associate--l+_binary64`
92×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
88×	`remove-double-neg_binary64`
80×	`unpow3_binary64`
72×	`distribute-lft-out_binary64`
70×	`cube-mult_binary64` `swap-sqr_binary64`
62×	`associate-+r-_binary64`
60×	`distribute-rgt-out_binary64`
56×	`pow-plus_binary64`
42×	`distribute-neg-out_binary64`
40×	`associate--l-_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r+_binary64`
26×	`+-rgt-identity_binary64`
22×	`sqr-neg_binary64`
20×	`cancel-sign-sub_binary64`
18×	`associate-+l+_binary64`
10×	`unpow2_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64`
8×	`unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `cube-neg_binary64`
6×	`+-lft-identity_binary64`
2×	`mul-1-neg_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` `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` `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-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` `/-rgt-identity_binary64` `-rgt-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_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	18	44
1	45	44
2	128	44
3	292	44
4	605	44
5	1611	44
6	3140	44
7	3420	44
8	4075	44
9	4184	44
10	4637	44
11	4959	44
12	4793	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample21.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify144.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-neg-in_binary64`
530×	`cancel-sign-sub-inv_binary64`
519×	`distribute-lft-neg-in_binary64`
486×	`sqr-pow_binary64`
309×	`neg-mul-1_binary64`
307×	`neg-sub0_binary64`
267×	`*-commutative_binary64`
212×	`sub-neg_binary64`
204×	`unswap-sqr_binary64`
201×	`cube-prod_binary64`
174×	`pow-sqr_binary64`
165×	`distribute-lft-neg-out_binary64`
146×	`distribute-rgt-neg-out_binary64`
131×	`associate--r+_binary64`
130×	`unpow3_binary64`
125×	`unsub-neg_binary64`
124×	`associate-l_binary64`
114×	`remove-double-neg_binary64`
108×	`distribute-neg-in_binary64`
97×	`associate-r_binary64`
91×	`+-commutative_binary64`
87×	`distribute-rgt-in_binary64`
79×	`cube-mult_binary64`
69×	`distribute-lft-in_binary64`
62×	`cancel-sign-sub_binary64`
60×	`pow-plus_binary64`
56×	`sqr-neg_binary64`
55×	`associate-+l-_binary64`
42×	`sub0-neg_binary64`
36×	`mul0-rgt_binary64` `mul0-lft_binary64`
35×	`swap-sqr_binary64`
34×	`--rgt-identity_binary64`
25×	`rem-sqrt-square_binary64`
24×	`*-lft-identity_binary64`
23×	`associate--l+_binary64`
14×	`associate-+r+_binary64`
13×	`*-rgt-identity_binary64`
12×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
11×	`cube-neg_binary64` `distribute-rgt-out--_binary64`
10×	`cube-unmult_binary64` `associate--r-_binary64` `associate-+l+_binary64`
4×	`associate-+r-_binary64`
2×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `distribute-neg-out_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` `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-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` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	27	22
2	73	22
3	157	22
4	285	22
5	593	22
6	1042	22
7	1815	22
8	2169	22
9	2308	22
10	2558	22
11	2851	22
12	3174	22
13	4093	22
14	4954	22
15	4710	22

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

62.0b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize13.0ms (0.7%)

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite26.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

8×	`associate--r+_binary64`
7×	`cancel-sign-sub-inv_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 20

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 549 to 311 computations (43.4% saved)

series25.0ms (1.5%)

Error

57.8b

Counts

1 → 7

Calls

1 calls:

22.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 157 to 153 computations (2.5% saved)

simplify69.0ms (4%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64`
366×	`associate-r_binary64`
293×	`cancel-sign-sub-inv_binary64`
258×	`associate-+l+_binary64`
200×	`distribute-rgt-neg-in_binary64`
197×	`associate-+r+_binary64`
195×	`distribute-lft-neg-in_binary64`
186×	`exp-prod_binary64`
163×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
137×	`unswap-sqr_binary64`
136×	`times-frac_binary64`
135×	`+-commutative_binary64`
104×	`distribute-lft-neg-out_binary64`
97×	`distribute-rgt-out_binary64`
94×	`distribute-rgt-neg-out_binary64`
91×	`*-commutative_binary64`
83×	`exp-sum_binary64`
79×	`distribute-neg-in_binary64`
71×	`distribute-lft-out_binary64`
68×	`sqr-pow_binary64` `associate--r+_binary64`
51×	`cube-prod_binary64`
47×	`sub-neg_binary64`
45×	`exp-diff_binary64`
38×	`neg-sub0_binary64`
34×	`unsub-neg_binary64`
32×	`neg-mul-1_binary64`
24×	`unpow3_binary64` `swap-sqr_binary64` `associate-+l-_binary64`
23×	`associate-/l*_binary64`
21×	`associate--l+_binary64`
16×	`cube-mult_binary64`
15×	`pow-plus_binary64`
14×	`difference-of-squares_binary64`
13×	`cube-unmult_binary64`
12×	`pow-sqr_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
8×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`sub0-neg_binary64`
5×	`+-rgt-identity_binary64` `associate-*r/_binary64`
4×	`exp-neg_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64`
3×	`associate-/l/_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `associate-/r/_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_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` `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` `unpow-1_binary64` `exp-lft-cube_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` `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` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

27 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	601
1	140	544
2	467	544
3	2007	544
4	4538	544
5	4947	544

prune19.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Error

52.0b

Counts

23 → 1

Compiler

Compiled 436 to 313 computations (28.2% saved)

localize10.0ms (0.6%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite26.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `unpow-prod-down_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `sqr-pow_binary64`

Counts

1 → 18

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 463 to 346 computations (25.3% saved)

series45.0ms (2.6%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

43.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 304 to 264 computations (13.2% saved)

simplify81.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64`
421×	`times-frac_binary64`
357×	`distribute-rgt-in_binary64`
328×	`associate-l_binary64`
309×	`distribute-lft-in_binary64`
302×	`associate-r_binary64`
284×	`exp-prod_binary64`
239×	`unswap-sqr_binary64`
198×	`sqr-pow_binary64`
188×	`neg-sub0_binary64`
187×	`neg-mul-1_binary64`
158×	`cancel-sign-sub-inv_binary64`
152×	`cube-prod_binary64`
90×	`distribute-lft-neg-out_binary64`
76×	`distribute-rgt-neg-in_binary64`
75×	`distribute-rgt-neg-out_binary64`
70×	`distribute-lft-neg-in_binary64`
64×	`*-commutative_binary64`
62×	`unpow3_binary64`
60×	`sub-neg_binary64`
59×	`mul0-rgt_binary64` `mul0-lft_binary64`
54×	`exp-sum_binary64` `distribute-lft-out_binary64`
50×	`pow-plus_binary64`
49×	`distribute-rgt-out_binary64`
48×	`pow-sqr_binary64`
44×	`cube-mult_binary64`
32×	`swap-sqr_binary64`
30×	`exp-diff_binary64`
28×	`associate-+r+_binary64`
27×	`cube-unmult_binary64`
24×	`rem-sqrt-square_binary64`
23×	`associate-+l+_binary64`
21×	`+-commutative_binary64`
18×	`difference-of-squares_binary64`
11×	`associate-/l*_binary64`
10×	`sqr-neg_binary64` `sub0-neg_binary64`
9×	`unpow2_binary64` `associate-+l-_binary64`
8×	`div-sub_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64`
7×	`mul-1-neg_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `--rgt-identity_binary64` `associate-+r-_binary64`
4×	`exp-neg_binary64` `associate-/r*_binary64`
3×	`associate-*r/_binary64`
2×	`cube-neg_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r+_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 146 to 112 computations (23.3% saved)

localize12.0ms (0.7%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite62.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`cube-prod_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64` `sqr-pow_binary64` `cube-div_binary64` `cbrt-div_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `pow1/3_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cbrt-cube_binary64`

Counts

2 → 41

Calls

2 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1181 to 922 computations (21.9% saved)

series93.0ms (5.4%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

45.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
44.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 671 to 588 computations (12.4% saved)

simplify73.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64`
632×	`associate-l_binary64`
601×	`associate-r_binary64`
222×	`swap-sqr_binary64`
196×	`distribute-lft-in_binary64`
195×	`distribute-rgt-in_binary64`
130×	`sqr-pow_binary64`
101×	`*-commutative_binary64`
81×	`exp-prod_binary64`
62×	`cube-prod_binary64`
41×	`unsub-neg_binary64`
35×	`neg-sub0_binary64`
29×	`sub-neg_binary64`
28×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
27×	`pow-plus_binary64`
25×	`unpow3_binary64`
24×	`cube-unmult_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`exp-sum_binary64` `pow-sqr_binary64`
20×	`distribute-lft-neg-in_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
17×	`cube-mult_binary64`
15×	`+-commutative_binary64`
12×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out_binary64`
9×	`log-prod_binary64`
8×	`rem-cbrt-cube_binary64` `associate-+l+_binary64`
7×	`exp-diff_binary64` `associate-+r+_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`mul-1-neg_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`rem-3cbrt-lft_binary64` `associate-/l*_binary64`
1×	`div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune18.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 456 to 349 computations (23.5% saved)

regimes72.0ms (4.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 879 to 775 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1
2	3	1

end0.0ms (0%)

Compiler: Compiled 1 to 3 computations (-200% saved)

sample731.0ms (42.5%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
152.0ms	8000×	pre	128	true

Compiler

Compiled 45 to 47 computations (-4.4% saved)

Details

analyze166.0ms (9.6%)

sample21.0ms (1.2%)

simplify144.0ms (8.4%)

prune1.0ms (0.1%)

localize13.0ms (0.7%)

rewrite26.0ms (1.5%)

series25.0ms (1.5%)

simplify69.0ms (4%)

prune19.0ms (1.1%)

localize10.0ms (0.6%)

rewrite26.0ms (1.5%)

series45.0ms (2.6%)

simplify81.0ms (4.7%)

prune7.0ms (0.4%)

localize12.0ms (0.7%)

rewrite62.0ms (3.6%)

series93.0ms (5.4%)

simplify73.0ms (4.2%)

prune18.0ms (1%)

regimes72.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample731.0ms (42.5%)

Profiling