Details

analyze279.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Rules

354×	`unsub-neg_binary64`
337×	`sub-neg_binary64`
286×	`distribute-rgt-neg-in_binary64`
252×	`distribute-rgt-in_binary64`
248×	`div-sub_binary64`
230×	`distribute-lft-in_binary64`
210×	`associate-/l*_binary64`
187×	`distribute-neg-in_binary64`
135×	`associate-+l-_binary64`
132×	`distribute-neg-frac_binary64`
124×	`cancel-sign-sub-inv_binary64`
118×	`associate--r-_binary64`
113×	`distribute-lft-neg-in_binary64`
110×	`neg-mul-1_binary64`
98×	`neg-sub0_binary64` `associate-/r*_binary64`
97×	`distribute-lft-neg-out_binary64`
95×	`associate--r+_binary64`
88×	`associate--l+_binary64`
82×	`distribute-rgt-out--_binary64`
80×	`+-commutative_binary64`
76×	`associate-/r/_binary64`
70×	`associate--l-_binary64`
68×	`distribute-rgt-neg-out_binary64` `associate-l_binary64` `associate-+l+_binary64`
64×	`distribute-rgt-out_binary64`
58×	`associate-+r-_binary64` `associate-+r+_binary64`
54×	`associate-/l/_binary64` `associate-r_binary64`
51×	`*-commutative_binary64`
44×	`*-rgt-identity_binary64`
42×	`mul0-rgt_binary64` `associate-*l/_binary64`
38×	`mul0-lft_binary64`
33×	`remove-double-neg_binary64`
32×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
31×	`sub0-neg_binary64` `--rgt-identity_binary64`
28×	`associate-*r/_binary64`
14×	`div0_binary64`
13×	`+-rgt-identity_binary64`
8×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
6×	`cancel-sign-sub_binary64`
2×	`distribute-rgt1-in_binary64` `distribute-lft1-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `distribute-frac-neg_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	52	42
2	117	42
3	290	42
4	498	42
5	875	42
6	1161	42
7	1818	42
8	2171	42
9	2113	42
10	2119	42
11	2130	42
12	2134	42
13	2319	42
14	2208	42
15	2208	42
16	2208	42
17	2214	42
18	2024	42
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	8×	body	128	nan
0.0ms	6×	body	128	invalid

Compiler

Compiled 41 to 41 computations (0% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

189×	`distribute-rgt-in_binary64`
173×	`cancel-sign-sub-inv_binary64`
159×	`sub-neg_binary64`
156×	`distribute-lft-in_binary64`
149×	`unsub-neg_binary64`
146×	`distribute-rgt-neg-in_binary64`
109×	`distribute-neg-in_binary64`
105×	`div-sub_binary64`
100×	`associate-/l*_binary64`
95×	`associate--r+_binary64`
68×	`distribute-neg-frac_binary64`
63×	`associate--r-_binary64`
59×	`distribute-lft-neg-in_binary64`
57×	`distribute-lft-neg-out_binary64`
56×	`neg-mul-1_binary64` `cancel-sign-sub_binary64`
53×	`neg-sub0_binary64`
52×	`associate--l+_binary64`
47×	`associate-+l-_binary64`
46×	`associate-/r*_binary64`
38×	`associate-l_binary64`
37×	`associate-/r/_binary64`
35×	`distribute-rgt-out--_binary64`
34×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
33×	`associate--l-_binary64`
32×	`associate-+l+_binary64`
30×	`associate-r_binary64`
29×	`associate-/l/_binary64`
28×	`associate-+r+_binary64`
27×	`associate-+r-_binary64`
25×	`*-commutative_binary64`
24×	`mul0-rgt_binary64`
23×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
22×	`mul0-lft_binary64`
21×	`associate-*l/_binary64`
18×	`*-lft-identity_binary64`
15×	`associate-*r/_binary64`
12×	`remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64`
7×	`+-rgt-identity_binary64` `div0_binary64`
4×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
1×	`1-exp_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_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` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	32	21
2	71	21
3	150	21
4	266	21
5	460	21
6	618	21
7	987	21
8	1185	21
9	1148	21
10	1191	21
11	1190	21
12	1187	21
13	1049	21

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 48 to 45 computations (6.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/3) 9)
0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
0.2b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
0.2b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

rewrite210.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`associate-*l/_binary64`
7×	`associate-r_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `associate-/r*_binary64` `frac-times_binary64`
3×	`associate-/l*_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`associate-/r/_binary64` `sqrt-pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow1/2_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
8.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
7.0ms	(*.f64 (-.f64 a 1/3) 9)
5.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 2228 to 1765 computations (20.8% saved)

series85.0ms (1.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

33.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
24.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
10.0ms	(*.f64 (-.f64 a 1/3) 9)
7.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 697 to 624 computations (10.5% saved)

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

682×	`distribute-rgt-in_binary64`
667×	`distribute-lft-in_binary64`
297×	`associate-*l/_binary64`
279×	`associate-*r/_binary64`
216×	`times-frac_binary64`
197×	`associate-/l*_binary64`
132×	`associate-/r*_binary64`
116×	`associate-l_binary64`
93×	`associate-r_binary64`
90×	`*-commutative_binary64`
70×	`div-sub_binary64`
49×	`associate-/l/_binary64`
39×	`exp-sum_binary64`
35×	`exp-prod_binary64`
32×	`*-lft-identity_binary64`
31×	`*-rgt-identity_binary64`
25×	`sub-neg_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `+-commutative_binary64`
24×	`cancel-sign-sub-inv_binary64`
18×	`log-prod_binary64`
16×	`cube-prod_binary64`
13×	`swap-sqr_binary64` `distribute-neg-frac_binary64`
12×	`distribute-rgt-neg-in_binary64`
11×	`log-div_binary64` `cube-div_binary64` `distribute-lft-neg-out_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`distribute-rgt-out_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+l+_binary64`
6×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
5×	`unpow3_binary64` `exp-diff_binary64`
4×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate-+l-_binary64`
3×	`cube-mult_binary64`
2×	`log-rec_binary64` `unpow1/2_binary64` `pow-plus_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

123 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2238
1	454	2076
2	1357	2067
3	4812	2067
4	5010	2067

prune140.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Error

Counts

101 → 7

Compiler

Compiled 1873 to 1480 computations (21% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.0b	(+.f64 (-.f64 a 1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
0.3b	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.4b	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))

rewrite158.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `associate-r/_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
9×	`add-log-exp_binary64` `associate-r_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `associate-+l+_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64`
1×	`diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `sub-neg_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+.f64 (-.f64 a 1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
8.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
8.0ms	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
3.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 1624 to 1244 computations (23.4% saved)

series73.0ms (1.6%)

Error

Counts

4 → 24

Calls

4 calls:

22.0ms	(+.f64 (-.f64 a 1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
21.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
17.0ms	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
6.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 631 to 561 computations (11.1% saved)

simplify111.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

389×	`*-commutative_binary64`
380×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
351×	`cancel-sign-sub-inv_binary64`
273×	`distribute-rgt-out_binary64`
238×	`distribute-rgt-neg-in_binary64`
203×	`distribute-lft-neg-in_binary64`
184×	`neg-mul-1_binary64`
176×	`neg-sub0_binary64`
154×	`associate-r_binary64`
137×	`associate-l_binary64`
123×	`exp-prod_binary64`
107×	`associate--r+_binary64`
87×	`sub-neg_binary64`
84×	`distribute-rgt-out--_binary64`
80×	`associate-+l+_binary64`
72×	`associate--l+_binary64`
67×	`associate-+r+_binary64`
64×	`associate-+l-_binary64`
61×	`sqr-pow_binary64`
60×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
59×	`log-prod_binary64`
58×	`cube-prod_binary64`
55×	`associate-+r-_binary64`
53×	`unsub-neg_binary64`
49×	`exp-sum_binary64`
45×	`+-commutative_binary64`
43×	`distribute-rgt-neg-out_binary64`
37×	`distribute-lft-out--_binary64`
30×	`swap-sqr_binary64`
25×	`exp-diff_binary64`
24×	`unswap-sqr_binary64`
20×	`*-rgt-identity_binary64`
18×	`associate-/l*_binary64`
16×	`*-lft-identity_binary64`
13×	`associate--r-_binary64`
12×	`associate-/r*_binary64`
10×	`pow-sqr_binary64`
8×	`distribute-lft-out_binary64`
7×	`unpow3_binary64` `times-frac_binary64`
6×	`div-exp_binary64` `cube-mult_binary64` `associate-*r/_binary64`
5×	`unpow1/3_binary64` `div-sub_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-/l/_binary64`
4×	`unpow1/2_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `associate-/r/_binary64` `associate--l-_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
2×	`prod-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `count-2_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` `pow-base-0_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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

108 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1670
1	341	1610
2	1105	1570
3	2899	1567
4	4553	1567
5	4934	1567

prune85.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Error

Counts

76 → 7

Compiler

Compiled 1104 to 858 computations (22.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand))))
0.3b	(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
0.3b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 1/3 rand))
0.3b	(*.f64 1/3 rand)

rewrite305.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
40×	`add-cube-cbrt_binary64`
38×	`associate-l_binary64`
35×	`sqrt-prod_binary64`
34×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
15×	`pow1_binary64`
14×	`prod-exp_binary64`
8×	`cbrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
7×	`associate-r_binary64`
6×	`div-exp_binary64`
5×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `associate-/r/_binary64` `frac-times_binary64`
3×	`-commutative_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `pow-flip_binary64` `associate-/l*_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `associate-*r/_binary64`
1×	`inv-pow_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `frac-2neg_binary64` `clear-num_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 157

Calls

4 calls:

17.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 1/3 rand))
9.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand))))
7.0ms	(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
4.0ms	(*.f64 1/3 rand)

Compiler

Compiled 3539 to 2928 computations (17.3% saved)

series78.0ms (1.7%)

Error

Counts

4 → 21

Calls

4 calls:

31.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand))))
26.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 1/3 rand))
8.0ms	(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
7.0ms	(*.f64 1/3 rand)

Compiler

Compiled 677 to 611 computations (9.7% saved)

simplify97.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-in_binary64`
631×	`distribute-lft-in_binary64`
552×	`times-frac_binary64`
244×	`associate-l_binary64`
242×	`associate-r_binary64`
144×	`*-commutative_binary64`
93×	`cancel-sign-sub-inv_binary64`
63×	`distribute-rgt-neg-in_binary64`
62×	`associate-*l/_binary64`
53×	`exp-prod_binary64`
50×	`*-lft-identity_binary64`
46×	`distribute-lft-neg-in_binary64`
43×	`*-rgt-identity_binary64`
42×	`associate-/l*_binary64`
38×	`distribute-rgt-out_binary64`
35×	`sub-neg_binary64`
33×	`sqr-pow_binary64`
31×	`associate-*r/_binary64` `+-commutative_binary64`
30×	`log-prod_binary64`
27×	`unswap-sqr_binary64`
26×	`cube-prod_binary64`
22×	`swap-sqr_binary64`
15×	`neg-mul-1_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
14×	`neg-sub0_binary64`
12×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-+l+_binary64`
11×	`exp-sum_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
10×	`distribute-lft-out_binary64` `associate-+l-_binary64`
8×	`log-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
7×	`cube-div_binary64`
6×	`distribute-lft-out--_binary64`
5×	`unpow3_binary64` `cube-unmult_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64`
4×	`pow-sqr_binary64`
3×	`cube-mult_binary64` `rem-sqrt-square_binary64`
2×	`log-rec_binary64` `exp-diff_binary64` `fabs-mul_binary64` `div-sub_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`unpow1/3_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `+-lft-identity_binary64` `lft-mult-inverse_binary64` `rgt-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` `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` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

178 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2936
1	557	2767
2	1913	2697
3	4951	2697

prune155.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Error

Counts

142 → 7

Compiler

Compiled 2084 to 1709 computations (18% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
0.2b	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
0.2b	(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
0.4b	(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))

rewrite266.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

56×	`add-sqr-sqrt_binary64`
45×	`sqrt-prod_binary64`
43×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
28×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-l_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `frac-times_binary64`
3×	`sqrt-div_binary64` `*-commutative_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`div-inv_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `inv-pow_binary64` `pow-flip_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 128

Calls

4 calls:

14.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
13.0ms	(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
8.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
6.0ms	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))

Compiler

Compiled 2997 to 2470 computations (17.6% saved)

series90.0ms (1.9%)

Error

Counts

4 → 24

Calls

4 calls:

31.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
26.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
22.0ms	(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
7.0ms	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))

Compiler

Compiled 776 to 694 computations (10.6% saved)

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

642×	`distribute-rgt-in_binary64`
618×	`distribute-lft-in_binary64`
222×	`associate-l_binary64`
219×	`associate-r_binary64`
203×	`times-frac_binary64`
144×	`associate-+l+_binary64`
122×	`*-commutative_binary64`
88×	`cancel-sign-sub-inv_binary64`
85×	`associate-+r+_binary64`
84×	`exp-prod_binary64`
70×	`exp-sum_binary64`
68×	`distribute-rgt-neg-in_binary64`
62×	`neg-mul-1_binary64`
54×	`distribute-lft-neg-in_binary64`
48×	`*-lft-identity_binary64`
46×	`associate-/l*_binary64`
45×	`*-rgt-identity_binary64`
39×	`distribute-rgt-out_binary64`
37×	`associate-/r*_binary64`
35×	`associate-*r/_binary64`
34×	`log-prod_binary64`
33×	`+-commutative_binary64`
32×	`sqr-pow_binary64` `associate-*l/_binary64`
28×	`cube-prod_binary64`
23×	`sub-neg_binary64` `swap-sqr_binary64`
22×	`associate-+l-_binary64`
20×	`associate-/r/_binary64`
15×	`neg-sub0_binary64`
13×	`associate-+r-_binary64`
12×	`distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
11×	`exp-diff_binary64` `div-sub_binary64`
9×	`associate-/l/_binary64`
8×	`distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
5×	`unpow3_binary64` `cube-unmult_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
4×	`unpow1/3_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `unswap-sqr_binary64`
3×	`unpow1/2_binary64` `fabs-div_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-frac_binary64`
2×	`fabs-mul_binary64` `unsub-neg_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_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` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

152 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2833
1	478	2641
2	1646	2631
3	4554	2631
4	4949	2631

prune128.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	106	7	113

Error

Counts

113 → 7

Compiler

Compiled 1802 to 1467 computations (18.6% saved)

regimes1.1s (23.2%)

Accuracy

Total 0.1b remaining (82.1%)

Threshold costs 0.1b (82.1%)

Compiler

Compiled 14310 to 12788 computations (10.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-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	13	24
1	22	24
2	23	24
3	21	24

end3.0ms (0.1%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

sample966.0ms (20.6%)

Algorithm

1×

intervals

Results

502.0ms	8000×	body	128	valid
15.0ms	275×	body	128	nan
15.0ms	249×	body	128	invalid

Compiler

Compiled 173 to 165 computations (4.6% saved)

Details

analyze279.0ms (6%)

sample26.0ms (0.6%)

simplify71.0ms (1.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite210.0ms (4.5%)

series85.0ms (1.8%)

simplify103.0ms (2.2%)

prune140.0ms (3%)

localize8.0ms (0.2%)

rewrite158.0ms (3.4%)

series73.0ms (1.6%)

simplify111.0ms (2.4%)

prune85.0ms (1.8%)

localize10.0ms (0.2%)

rewrite305.0ms (6.5%)

series78.0ms (1.7%)

simplify97.0ms (2.1%)

prune155.0ms (3.3%)

localize10.0ms (0.2%)

rewrite266.0ms (5.7%)

series90.0ms (1.9%)

simplify119.0ms (2.5%)

prune128.0ms (2.7%)

regimes1.1s (23.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end3.0ms (0.1%)

sample966.0ms (20.6%)

Profiling