Details

analyze156.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

582×	`unsub-neg_binary64`
528×	`sub-neg_binary64`
494×	`associate-l_binary64`
478×	`distribute-rgt-neg-in_binary64`
340×	`distribute-lft-neg-in_binary64`
336×	`sqr-pow_binary64`
328×	`associate-r_binary64`
324×	`neg-sub0_binary64`
316×	`neg-mul-1_binary64`
200×	`associate--r+_binary64`
186×	`cancel-sign-sub-inv_binary64`
184×	`distribute-rgt-out--_binary64`
166×	`distribute-lft-out--_binary64`
164×	`unswap-sqr_binary64`
156×	`distribute-rgt-in_binary64`
154×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
152×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
148×	`+-commutative_binary64`
130×	`associate--r-_binary64`
128×	`distribute-rgt-neg-out_binary64`
122×	`distribute-lft-out_binary64`
120×	`remove-double-neg_binary64`
118×	`distribute-lft-in_binary64`
110×	`*-commutative_binary64`
100×	`pow-sqr_binary64`
96×	`associate-+r-_binary64`
92×	`associate--l+_binary64`
70×	`associate-+l-_binary64`
62×	`--rgt-identity_binary64` `associate--l-_binary64`
58×	`pow-plus_binary64`
54×	`unpow3_binary64`
50×	`mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`
44×	`cube-mult_binary64` `swap-sqr_binary64`
38×	`sub0-neg_binary64`
32×	`+-lft-identity_binary64`
24×	`+-rgt-identity_binary64` `associate-+r+_binary64`
20×	`unpow2_binary64`
14×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `associate-+l+_binary64`
12×	`unpow1_binary64` `sqr-neg_binary64`
10×	`unpow1/2_binary64` `cube-neg_binary64`
8×	`mul-1-neg_binary64`
2×	`*-rgt-identity_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` `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	41	44
2	108	44
3	222	44
4	585	44
5	1746	44
6	3413	44
7	3731	44
8	4413	44
9	4435	44
10	4735	44
11	4845	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample22.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify133.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-rgt-neg-in_binary64`
625×	`unswap-sqr_binary64`
442×	`sqr-pow_binary64`
441×	`cancel-sign-sub-inv_binary64`
414×	`unsub-neg_binary64`
269×	`associate-l_binary64`
231×	`sub-neg_binary64`
221×	`distribute-lft-neg-in_binary64`
217×	`*-commutative_binary64`
189×	`neg-sub0_binary64`
186×	`associate-r_binary64`
183×	`neg-mul-1_binary64`
180×	`distribute-rgt-in_binary64`
168×	`cube-prod_binary64`
155×	`pow-sqr_binary64`
130×	`associate--r+_binary64`
117×	`distribute-lft-in_binary64`
100×	`distribute-lft-neg-out_binary64`
91×	`distribute-neg-in_binary64`
90×	`distribute-rgt-neg-out_binary64`
79×	`pow-plus_binary64`
76×	`unpow3_binary64`
74×	`distribute-rgt-out--_binary64`
73×	`+-commutative_binary64`
70×	`remove-double-neg_binary64`
65×	`cube-mult_binary64`
58×	`distribute-rgt-out_binary64`
53×	`associate-+l-_binary64`
50×	`mul0-rgt_binary64` `mul0-lft_binary64`
40×	`swap-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
37×	`sub0-neg_binary64`
36×	`rem-sqrt-square_binary64` `--rgt-identity_binary64`
31×	`cancel-sign-sub_binary64`
30×	`distribute-lft-out_binary64`
28×	`associate--l+_binary64`
21×	`associate-+l+_binary64`
19×	`associate-+r+_binary64`
17×	`+-lft-identity_binary64` `associate--l-_binary64`
16×	`unpow2_binary64`
15×	`sqr-neg_binary64` `associate-+r-_binary64`
14×	`unpow1_binary64` `*-lft-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
13×	`cube-unmult_binary64`
12×	`unpow1/2_binary64`
11×	`cube-neg_binary64`
8×	`*-rgt-identity_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` `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` `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	13	22
1	27	22
2	67	22
3	131	22
4	340	22
5	1006	22
6	1753	22
7	3299	22
8	3144	22
9	3473	22
10	3735	22
11	4129	22
12	5255	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

52.0b

Counts

1 → 1

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

23.0b

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

rewrite28.0ms (1.8%)

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 445 to 328 computations (26.3% saved)

series43.0ms (2.8%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

41.0ms

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

Compiler

Compiled 283 to 243 computations (14.1% saved)

simplify82.0ms (5.3%)

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 139 to 105 computations (24.5% saved)

localize11.0ms (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))

rewrite60.0ms (3.9%)

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))
6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1143 to 884 computations (22.7% saved)

series88.0ms (5.7%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

43.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
41.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 629 to 546 computations (13.2% saved)

simplify75.0ms (4.8%)

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

prune17.0ms (1.1%)

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 438 to 331 computations (24.4% saved)

regimes42.0ms (2.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 410 to 394 computations (3.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

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)

sample771.0ms (49.7%)

Algorithm

1×

intervals

Results

308.0ms	8000×	body	128	valid
154.0ms	8000×	pre	128	true

Compiler

Compiled 44 to 48 computations (-9.1% saved)

Details

analyze156.0ms (10%)

sample22.0ms (1.5%)

simplify133.0ms (8.6%)

prune1.0ms (0.1%)

localize9.0ms (0.6%)

rewrite28.0ms (1.8%)

series43.0ms (2.8%)

simplify82.0ms (5.3%)

prune7.0ms (0.4%)

localize11.0ms (0.7%)

rewrite60.0ms (3.9%)

series88.0ms (5.7%)

simplify75.0ms (4.8%)

prune17.0ms (1.1%)

regimes42.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample771.0ms (49.7%)

Profiling