Details

analyze286.0ms (3.8%)

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` `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 (0.3%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	10×	body	128	invalid
0.0ms	6×	body	128	nan

Compiler

Compiled 41 to 41 computations (0% saved)

simplify74.0ms (1%)

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` `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

prune4.0ms (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)

localize12.0ms (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	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.4b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite214.0ms (2.9%)

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×	`pow-prod-down_binary64` `associate-/l*_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`sqrt-pow1_binary64` `associate-/r/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`pow1/2_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_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)

series95.0ms (1.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

37.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
26.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
10.0ms	(*.f64 (-.f64 a 1/3) 9)
9.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 697 to 624 computations (10.5% saved)

simplify112.0ms (1.5%)

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` `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 → 104

Iterations

Useful iterations: 2 (0.0ms)

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

prune141.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

Counts

106 → 6

Compiler

Compiled 1917 to 1512 computations (21.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite499.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

330×	`times-frac_binary64`
233×	`*-un-lft-identity_binary64`
188×	`sqrt-prod_binary64`
182×	`add-sqr-sqrt_binary64`
177×	`add-cube-cbrt_binary64`
30×	`associate-/l*_binary64`
27×	`distribute-lft-out_binary64`
18×	`sqrt-div_binary64`
16×	`associate-/r/_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
9×	`div-inv_binary64`
7×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-r_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`associate-/l/_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 302

Calls

4 calls:

46.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))))
14.0ms	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))
8.0ms	(/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
3.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 6331 to 5015 computations (20.8% saved)

series102.0ms (1.4%)

Error

Counts

4 → 24

Calls

4 calls:

34.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))))
28.0ms	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))
24.0ms	(/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
9.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 813 to 730 computations (10.2% saved)

simplify225.0ms (3%)

Algorithm

1×	egg-herbie

Rules

762×	`distribute-rgt-in_binary64`
742×	`distribute-lft-in_binary64`
429×	`times-frac_binary64`
269×	`associate-/l/_binary64`
133×	`*-commutative_binary64`
125×	`associate-/r*_binary64`
103×	`associate-l_binary64`
87×	`associate-r_binary64`
73×	`associate-*l/_binary64`
63×	`*-rgt-identity_binary64`
57×	`associate-/l*_binary64`
53×	`associate-*r/_binary64`
43×	`sub-neg_binary64`
40×	`*-lft-identity_binary64`
39×	`cancel-sign-sub-inv_binary64` `associate-/r/_binary64`
31×	`+-commutative_binary64`
26×	`exp-prod_binary64`
22×	`sqr-pow_binary64` `unswap-sqr_binary64`
21×	`/-rgt-identity_binary64`
18×	`log-prod_binary64` `distribute-neg-frac_binary64`
17×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
16×	`exp-sum_binary64`
14×	`log-div_binary64` `cube-div_binary64` `cube-prod_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
12×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
10×	`swap-sqr_binary64`
8×	`div-sub_binary64` `distribute-lft-neg-in_binary64`
6×	`associate-+l-_binary64`
5×	`cube-unmult_binary64`
4×	`unpow3_binary64`
3×	`exp-cbrt_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
2×	`exp-diff_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-neg-in_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` `pow-base-0_binary64` `unpow1/3_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-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` `sqr-abs_binary64` `sqr-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` `*-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-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`

Counts

326 → 300

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	7875
1	828	7703
2	2263	7703
3	4986	7703

prune288.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	301	5	306

Error

Counts

306 → 5

Compiler

Compiled 4271 to 3326 computations (22.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))))
0.2b	(*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))
0.2b	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.3b	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9)))

rewrite1.4s (19.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1094×	`times-frac_binary64`
740×	`add-sqr-sqrt_binary64`
698×	`sqrt-prod_binary64`
633×	`*-un-lft-identity_binary64`
499×	`add-cube-cbrt_binary64`
277×	`associate-r_binary64`
192×	`cbrt-prod_binary64`
62×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
52×	`add-exp-log_binary64`
40×	`sqrt-div_binary64` `associate-/r/_binary64`
34×	`add-cbrt-cube_binary64`
33×	`associate-/l*_binary64`
31×	`unswap-sqr_binary64`
23×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64`
22×	`div-exp_binary64`
18×	`associate-l_binary64`
17×	`associate-/r*_binary64`
13×	`cbrt-undiv_binary64` `prod-exp_binary64`
8×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `associate-l/_binary64` `associate-r/_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 750

Calls

4 calls:

109.0ms	(*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))
20.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9)))
9.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))))
6.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))

Compiler

Compiled 21404 to 17880 computations (16.5% saved)

series196.0ms (2.6%)

Error

Counts

4 → 27

Calls

4 calls:

60.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))))
50.0ms	(*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 9))) (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9))))
44.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (cbrt.f64 9)))
28.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))

Compiler

Compiled 1391 to 1291 computations (7.2% saved)

simplify737.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-*l/_binary64`
582×	`associate-/l*_binary64`
511×	`associate-*r/_binary64`
282×	`associate-/r*_binary64`
210×	`*-commutative_binary64`
194×	`associate-/l/_binary64`
163×	`*-lft-identity_binary64`
135×	`times-frac_binary64`
121×	`distribute-rgt-in_binary64`
118×	`distribute-lft-in_binary64`
52×	`log-div_binary64`
50×	`associate-/r/_binary64`
28×	`cube-div_binary64`
26×	`sub-neg_binary64`
25×	`exp-prod_binary64`
24×	`cube-prod_binary64`
23×	`/-rgt-identity_binary64`
21×	`log-prod_binary64` `neg-mul-1_binary64`
19×	`*-rgt-identity_binary64`
17×	`associate-l_binary64`
15×	`cancel-sign-sub-inv_binary64`
14×	`+-commutative_binary64`
13×	`swap-sqr_binary64`
12×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
11×	`neg-sub0_binary64`
9×	`log-rec_binary64` `exp-sum_binary64` `div-sub_binary64`
8×	`cube-unmult_binary64` `sqr-pow_binary64` `unswap-sqr_binary64`
7×	`distribute-lft-neg-in_binary64` `associate-+r-_binary64`
6×	`unpow3_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64`
5×	`rem-sqrt-square_binary64`
4×	`cube-mult_binary64`
2×	`rem-square-sqrt_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_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` `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` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+l+_binary64`

Counts

777 → 625

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	25440
1	2001	24283
2	4853	24283
3	4992	24283
4	4987	24283

prune719.0ms (9.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	627	3	630

Error

Counts

630 → 3

Compiler

Compiled 11739 to 9661 computations (17.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 rand (fabs.f64 (cbrt.f64 9)))
0.1b	(/.f64 (-.f64 a 1/3) (cbrt.f64 9))
0.1b	(sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9)))
0.3b	(*.f64 (/.f64 rand (fabs.f64 (cbrt.f64 9))) (sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9))))

rewrite332.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

140×	`add-sqr-sqrt_binary64`
118×	`times-frac_binary64`
111×	`*-un-lft-identity_binary64`
74×	`sqrt-prod_binary64`
73×	`add-cube-cbrt_binary64`
51×	`cbrt-prod_binary64`
37×	`associate-r_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `associate-l_binary64`
12×	`add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
8×	`unswap-sqr_binary64` `associate-/l*_binary64`
7×	`pow1_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `sqrt-div_binary64` `rem-sqrt-square_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 204

Calls

4 calls:

22.0ms	(*.f64 (/.f64 rand (fabs.f64 (cbrt.f64 9))) (sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9))))
11.0ms	(sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9)))
8.0ms	(/.f64 (-.f64 a 1/3) (cbrt.f64 9))
3.0ms	(/.f64 rand (fabs.f64 (cbrt.f64 9)))

Compiler

Compiled 4806 to 4030 computations (16.1% saved)

series93.0ms (1.2%)

Error

Counts

4 → 18

Calls

4 calls:

42.0ms	(*.f64 (/.f64 rand (fabs.f64 (cbrt.f64 9))) (sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9))))
20.0ms	(/.f64 (-.f64 a 1/3) (cbrt.f64 9))
13.0ms	(/.f64 rand (fabs.f64 (cbrt.f64 9)))
10.0ms	(sqrt.f64 (/.f64 (-.f64 a 1/3) (cbrt.f64 9)))

Compiler

Compiled 790 to 731 computations (7.5% saved)

simplify181.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary64`
440×	`associate-*l/_binary64`
413×	`associate-/l_binary64` `associate-l*_binary64`
319×	`associate-r_binary64`
318×	`associate-*r/_binary64`
203×	`*-commutative_binary64`
152×	`times-frac_binary64`
144×	`associate-/l/_binary64`
136×	`distribute-lft-in_binary64`
129×	`associate-/r*_binary64`
114×	`div-sub_binary64`
107×	`*-rgt-identity_binary64`
93×	`distribute-lft-neg-out_binary64`
92×	`distribute-rgt-neg-out_binary64`
73×	`sub-neg_binary64`
64×	`associate-/r/_binary64`
59×	`*-lft-identity_binary64`
51×	`/-rgt-identity_binary64`
42×	`sqr-pow_binary64`
36×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64` `+-commutative_binary64`
25×	`log-div_binary64` `log-prod_binary64`
23×	`exp-prod_binary64`
21×	`unswap-sqr_binary64` `swap-sqr_binary64`
20×	`cube-div_binary64`
17×	`distribute-neg-frac_binary64`
16×	`cube-prod_binary64` `distribute-rgt-out_binary64`
15×	`unsub-neg_binary64`
12×	`distribute-frac-neg_binary64`
11×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate-+l+_binary64`
8×	`associate-+r-_binary64`
7×	`cube-unmult_binary64`
6×	`pow-sqr_binary64`
5×	`exp-diff_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-neg-in_binary64` `associate--l-_binary64`
4×	`log-rec_binary64` `unpow3_binary64` `exp-sum_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `associate--r+_binary64`
3×	`sub0-neg_binary64`
2×	`unpow1/3_binary64` `pow-plus_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `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` `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-cbrt-cube_binary64` `rem-cube-cbrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

222 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	4831
1	561	4618
2	1384	4613
3	3731	4609
4	5505	4609

prune95.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

Counts

93 → 3

Compiler

Compiled 1716 to 1413 computations (17.7% saved)

regimes686.0ms (9.2%)

Accuracy

Total 0.1b remaining (74.8%)

Threshold costs 0.1b (74.8%)

Compiler

Compiled 8594 to 7848 computations (8.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	24	33
2	25	33
3	23	33

end2.0ms (0%)

Compiler: Compiled 21 to 20 computations (4.8% saved)

sample860.0ms (11.5%)

Algorithm

1×

intervals

Results

461.0ms	8000×	body	128	valid
20.0ms	287×	body	128	invalid
15.0ms	276×	body	128	nan

Compiler

Compiled 90 to 93 computations (-3.3% saved)

Details

analyze286.0ms (3.8%)

sample26.0ms (0.3%)

simplify74.0ms (1%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite214.0ms (2.9%)

series95.0ms (1.3%)

simplify112.0ms (1.5%)

prune141.0ms (1.9%)

localize11.0ms (0.1%)

rewrite499.0ms (6.7%)

series102.0ms (1.4%)

simplify225.0ms (3%)

prune288.0ms (3.9%)

localize14.0ms (0.2%)

rewrite1.4s (19.2%)

series196.0ms (2.6%)

simplify737.0ms (9.9%)

prune719.0ms (9.7%)

localize12.0ms (0.2%)

rewrite332.0ms (4.5%)

series93.0ms (1.2%)

simplify181.0ms (2.4%)

prune95.0ms (1.3%)

regimes686.0ms (9.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample860.0ms (11.5%)

Profiling