Details

analyze229.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`times-frac_binary64`
558×	`sub-neg_binary64`
440×	`neg-mul-1_binary64`
438×	`associate-/l*_binary64`
424×	`distribute-neg-frac_binary64`
418×	`neg-sub0_binary64`
402×	`distribute-rgt-neg-in_binary64`
392×	`div-sub_binary64`
354×	`unsub-neg_binary64`
288×	`distribute-lft-neg-out_binary64`
282×	`cancel-sign-sub-inv_binary64`
248×	`distribute-neg-in_binary64`
218×	`distribute-lft-neg-in_binary64`
214×	`associate-*l/_binary64`
204×	`+-commutative_binary64`
186×	`distribute-rgt-in_binary64`
166×	`associate-/r/_binary64`
154×	`remove-double-neg_binary64`
152×	`associate--r+_binary64`
146×	`distribute-rgt-out--_binary64`
142×	`distribute-lft-in_binary64`
140×	`distribute-frac-neg_binary64`
138×	`associate-r_binary64`
134×	`associate-l_binary64`
128×	`distribute-rgt-neg-out_binary64`
116×	`associate--r-_binary64`
108×	`distribute-lft-out--_binary64` `associate--l+_binary64`
106×	`distribute-lft-out_binary64`
92×	`*-rgt-identity_binary64` `associate-/l/_binary64`
90×	`*-commutative_binary64`
82×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
72×	`associate-*r/_binary64`
62×	`div0_binary64` `associate-+r+_binary64`
60×	`associate-+l-_binary64`
48×	`*-lft-identity_binary64` `associate--l-_binary64`
46×	`cancel-sign-sub_binary64` `associate-+r-_binary64`
44×	`sub0-neg_binary64` `remove-double-div_binary64` `associate-+l+_binary64`
40×	`distribute-neg-out_binary64`
22×	`distribute-rgt1-in_binary64`
20×	`/-rgt-identity_binary64`
16×	`+-rgt-identity_binary64`
14×	`mul-1-neg_binary64`
12×	`--rgt-identity_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`+-lft-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` `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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	124	36
3	259	36
4	373	36
5	571	36
6	1299	36
7	2252	36
8	3840	36
9	4270	36
10	4338	36
11	4785	36
12	4903	36
13	4977	36
14	4830	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 29 to 29 computations (0% saved)

simplify149.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

326×	`associate-/l*_binary64`
318×	`cancel-sign-sub-inv_binary64`
290×	`distribute-rgt-neg-in_binary64`
248×	`distribute-rgt-in_binary64`
231×	`unsub-neg_binary64`
221×	`div-sub_binary64`
205×	`distribute-lft-in_binary64`
173×	`associate-/l/_binary64`
159×	`sub-neg_binary64`
134×	`distribute-neg-frac_binary64`
127×	`times-frac_binary64`
119×	`distribute-lft-neg-out_binary64`
117×	`associate-/r*_binary64`
110×	`distribute-lft-neg-in_binary64`
108×	`associate--r+_binary64`
104×	`associate-/r/_binary64`
102×	`associate-l_binary64`
99×	`associate-r_binary64`
90×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
82×	`neg-mul-1_binary64`
79×	`neg-sub0_binary64`
78×	`distribute-rgt-out_binary64`
77×	`distribute-neg-in_binary64`
60×	`*-commutative_binary64`
55×	`associate-*l/_binary64`
48×	`associate-+l-_binary64`
40×	`associate-*r/_binary64`
38×	`mul0-rgt_binary64`
37×	`mul0-lft_binary64`
36×	`remove-double-neg_binary64`
34×	`associate--r-_binary64`
32×	`*-rgt-identity_binary64` `+-commutative_binary64`
31×	`associate--l+_binary64`
28×	`distribute-lft-out_binary64`
23×	`*-lft-identity_binary64` `distribute-lft-out--_binary64`
20×	`associate-+l+_binary64`
18×	`sub0-neg_binary64`
17×	`associate-+r+_binary64`
15×	`div0_binary64`
11×	`distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
9×	`associate-+r-_binary64`
8×	`+-rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `associate--l-_binary64`
4×	`+-lft-identity_binary64`
3×	`--rgt-identity_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	68	18
3	137	18
4	197	18
5	297	18
6	671	18
7	1065	18
8	1544	18
9	1657	18
10	1839	18
11	1771	18
12	1745	18
13	1745	18
14	1943	18
15	1776	18
16	1776	18
17	1776	18
18	1583	18

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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 1/9 x)

rewrite165.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `associate-r_binary64`
9×	`add-log-exp_binary64` `times-frac_binary64`
6×	`distribute-lft-out_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-prod_binary64` `associate-l_binary64` `flip3-+_binary64` `frac-add_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `sum-log_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

15.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
11.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
6.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1644 to 1144 computations (30.4% saved)

series81.0ms (1.8%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

32.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
25.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
7.0ms	(*.f64 3 (sqrt.f64 x))
6.0ms	(/.f64 1/9 x)

Compiler

Compiled 724 to 633 computations (12.6% saved)

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Rules

903×	`distribute-rgt-in_binary64`
819×	`distribute-lft-in_binary64`
215×	`associate-l_binary64`
184×	`associate-r_binary64`
127×	`exp-prod_binary64`
121×	`times-frac_binary64`
116×	`*-commutative_binary64`
83×	`cancel-sign-sub-inv_binary64`
49×	`sub-neg_binary64`
44×	`distribute-rgt-out_binary64`
37×	`log-prod_binary64`
32×	`distribute-rgt-neg-in_binary64`
29×	`+-commutative_binary64`
27×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
24×	`distribute-lft-out_binary64`
23×	`unsub-neg_binary64`
22×	`*-rgt-identity_binary64`
21×	`*-lft-identity_binary64`
18×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-/r_binary64` `associate-l/_binary64`
17×	`distribute-neg-in_binary64`
16×	`cube-prod_binary64`
15×	`swap-sqr_binary64` `associate-*r/_binary64`
14×	`unpow3_binary64` `distribute-lft-neg-out_binary64` `associate-/l*_binary64`
13×	`associate-+l+_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`exp-lft-cube_binary64` `associate-+r+_binary64`
9×	`exp-sum_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64`
8×	`associate--r+_binary64`
7×	`unswap-sqr_binary64`
6×	`log-div_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`
5×	`prod-exp_binary64` `cube-mult_binary64` `cube-div_binary64`
4×	`exp-diff_binary64` `cube-unmult_binary64`
3×	`pow-plus_binary64` `div-sub_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`log-rec_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `distribute-lft1-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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-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` `sub0-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

119 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1624
1	462	1483
2	1591	1466
3	4913	1466
4	5014	1466

prune72.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	61	12	73

Error

0.0b

Counts

73 → 12

Compiler

Compiled 1086 to 802 computations (26.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
0.2b	(sqrt.f64 (/.f64 1 x))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite212.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`add-sqr-sqrt_binary64`
33×	`sqrt-prod_binary64`
31×	`*-un-lft-identity_binary64`
29×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`times-frac_binary64`
15×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`associate-r/_binary64` `-commutative_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`sqrt-div_binary64` `div-inv_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow1/2_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`

Counts

4 → 117

Calls

4 calls:

9.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2256 to 1677 computations (25.7% saved)

series56.0ms (1.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

26.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
10.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
8.0ms	(*.f64 3 (sqrt.f64 x))
7.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 673 to 590 computations (12.3% saved)

simplify126.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

498×	`unsub-neg_binary64`
330×	`*-commutative_binary64`
232×	`exp-prod_binary64`
223×	`associate-/l*_binary64`
214×	`times-frac_binary64`
191×	`distribute-rgt-in_binary64`
174×	`distribute-lft-in_binary64`
157×	`associate-l_binary64`
150×	`+-commutative_binary64`
147×	`distribute-neg-in_binary64`
145×	`neg-sub0_binary64`
127×	`neg-mul-1_binary64`
125×	`associate-r_binary64`
122×	`associate-*l/_binary64`
118×	`sqr-pow_binary64`
113×	`associate-/r*_binary64`
110×	`distribute-frac-neg_binary64`
98×	`distribute-rgt-neg-out_binary64`
97×	`associate-*r/_binary64`
96×	`distribute-lft-neg-out_binary64`
77×	`cancel-sign-sub-inv_binary64`
76×	`exp-neg_binary64`
75×	`exp-diff_binary64` `div-sub_binary64`
65×	`sub-neg_binary64`
56×	`associate-+l+_binary64`
52×	`associate-+r+_binary64`
47×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
39×	`*-lft-identity_binary64`
38×	`associate-/l/_binary64`
34×	`exp-sum_binary64`
33×	`*-rgt-identity_binary64`
30×	`log-prod_binary64` `swap-sqr_binary64`
28×	`pow-sqr_binary64` `associate-/r/_binary64`
25×	`cube-prod_binary64` `unswap-sqr_binary64`
23×	`prod-exp_binary64` `mul-1-neg_binary64`
20×	`/-rgt-identity_binary64`
19×	`associate-+r-_binary64`
18×	`distribute-neg-frac_binary64`
17×	`unpow3_binary64`
15×	`exp-lft-cube_binary64`
13×	`sub0-neg_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
12×	`+-rgt-identity_binary64`
11×	`rem-sqrt-square_binary64`
10×	`remove-double-neg_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`unpow1/2_binary64` `div-exp_binary64` `cube-mult_binary64`
6×	`cube-unmult_binary64` `remove-double-div_binary64`
4×	`log-div_binary64` `pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr-1_binary64`
3×	`div0_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
2×	`rec-exp_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_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-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

135 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1574
1	357	1468
2	917	1464
3	1817	1464
4	3250	1464
5	4703	1464
6	4956	1464

prune81.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 1120 to 854 computations (23.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/3 (pow.f64 x -1/2)) (.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1)))
0.1b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(*.f64 1/3 (pow.f64 x -1/2))

rewrite185.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`pow1_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
7×	`prod-exp_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`unpow-prod-down_binary64` `pow-prod-down_binary64` `sqrt-prod_binary64` `sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`sqr-pow_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

11.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
6.0ms	(+.f64 (.f64 1/3 (pow.f64 x -1/2)) (.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1)))
5.0ms	(*.f64 1/3 (pow.f64 x -1/2))
5.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 1964 to 1444 computations (26.5% saved)

series91.0ms (2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

39.0ms	(+.f64 (.f64 1/3 (pow.f64 x -1/2)) (.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1)))
26.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
10.0ms	(*.f64 1/3 (pow.f64 x -1/2))
8.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 823 to 701 computations (14.8% saved)

simplify125.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

763×	`times-frac_binary64`
441×	`*-commutative_binary64`
378×	`cancel-sign-sub-inv_binary64`
320×	`distribute-rgt-in_binary64`
301×	`distribute-lft-in_binary64`
283×	`distribute-rgt-neg-in_binary64`
254×	`distribute-lft-neg-in_binary64`
246×	`unsub-neg_binary64`
196×	`associate-l_binary64`
190×	`exp-prod_binary64`
169×	`associate-r_binary64`
145×	`distribute-lft-neg-out_binary64`
138×	`distribute-neg-in_binary64`
127×	`distribute-rgt-neg-out_binary64`
94×	`log-prod_binary64`
93×	`sub-neg_binary64`
89×	`cube-prod_binary64`
88×	`neg-sub0_binary64`
86×	`sqr-pow_binary64`
83×	`neg-mul-1_binary64`
58×	`unswap-sqr_binary64`
47×	`distribute-rgt-out--_binary64`
40×	`+-commutative_binary64`
39×	`exp-sum_binary64` `associate-+l+_binary64`
34×	`distribute-rgt-out_binary64`
32×	`swap-sqr_binary64` `associate-+r+_binary64`
27×	`*-lft-identity_binary64`
26×	`*-rgt-identity_binary64`
24×	`exp-diff_binary64`
21×	`associate-/r*_binary64`
20×	`unpow3_binary64`
18×	`exp-neg_binary64`
16×	`mul-1-neg_binary64` `distribute-lft-out_binary64` `associate-*l/_binary64`
15×	`cube-mult_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
14×	`associate-/l_binary64` `associate-r/_binary64` `associate--r+_binary64`
13×	`pow-sqr_binary64`
12×	`cancel-sign-sub_binary64` `associate-+l-_binary64`
11×	`+-rgt-identity_binary64` `associate--l+_binary64`
10×	`remove-double-neg_binary64`
9×	`exp-lft-cube_binary64`
8×	`distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
7×	`log-pow_binary64` `pow-plus_binary64` `sub0-neg_binary64`
6×	`cube-unmult_binary64`
5×	`pow-base-1_binary64` `prod-exp_binary64`
4×	`cube-neg_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`unpow1/2_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `difference-of-sqr-1_binary64`
2×	`unpow1/3_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate-/r/_binary64` `associate--r-_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow2_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_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` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`

Counts

122 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1703
1	412	1636
2	1180	1624
3	2902	1624
4	4162	1624
5	5357	1624

prune76.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Error

0.0b

Counts

93 → 10

Compiler

Compiled 1124 to 846 computations (24.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1/9 x) 1)
0.3b	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
0.4b	(/.f64 1/9 x)

rewrite171.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`add-log-exp_binary64` `associate-r/_binary64` `associate-r*_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-prod_binary64` `difference-of-squares_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `difference-of-sqr-1_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

15.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
14.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
8.0ms	(-.f64 (/.f64 1/9 x) 1)
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1767 to 1231 computations (30.3% saved)

series87.0ms (1.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

35.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
27.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
11.0ms	(-.f64 (/.f64 1/9 x) 1)
6.0ms	(/.f64 1/9 x)

Compiler

Compiled 738 to 623 computations (15.6% saved)

simplify130.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-rgt-in_binary64`
597×	`distribute-lft-in_binary64`
354×	`associate-/l/_binary64`
302×	`*-commutative_binary64`
138×	`associate-/r/_binary64`
126×	`associate-l_binary64`
122×	`associate-r_binary64`
120×	`neg-sub0_binary64`
119×	`exp-prod_binary64`
109×	`times-frac_binary64`
88×	`neg-mul-1_binary64`
77×	`sub-neg_binary64`
76×	`sqr-pow_binary64`
75×	`unsub-neg_binary64`
71×	`associate-/l*_binary64`
70×	`associate-*l/_binary64`
69×	`exp-sum_binary64`
67×	`cube-prod_binary64`
66×	`associate-/r*_binary64`
58×	`associate-*r/_binary64`
56×	`associate-+r+_binary64`
54×	`associate-+l+_binary64`
47×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
45×	`+-commutative_binary64`
44×	`*-lft-identity_binary64`
42×	`log-prod_binary64`
40×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
39×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
38×	`swap-sqr_binary64`
37×	`distribute-rgt-neg-out_binary64`
26×	`distribute-rgt-neg-in_binary64`
25×	`div-sub_binary64`
23×	`unpow3_binary64` `exp-diff_binary64`
21×	`cube-mult_binary64` `cube-div_binary64`
19×	`log-div_binary64`
18×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64` `associate-+r-_binary64`
15×	`+-rgt-identity_binary64` `pow-sqr_binary64`
14×	`distribute-neg-frac_binary64`
13×	`exp-lft-cube_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`associate--r+_binary64` `associate-+l-_binary64`
7×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `prod-exp_binary64` `sub0-neg_binary64`
5×	`cube-unmult_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
3×	`log-rec_binary64` `exp-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
2×	`sqr-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `difference-of-sqr--1_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

127 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	1915
1	390	1759
2	1154	1740
3	3653	1737
4	4643	1737
5	4978	1737

prune51.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	66	11	77

Error

0.0b

Counts

77 → 11

Compiler

Compiled 515 to 354 computations (31.3% saved)

regimes1.5s (31.9%)

Accuracy

Total 0.4b remaining (92.9%)

Threshold costs 0.4b (92.9%)

Compiler

Compiled 15593 to 13531 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	22	23
2	21	23

end1.0ms (0%)

Compiler: Compiled 15 to 14 computations (6.7% saved)

sample900.0ms (19.5%)

Algorithm

1×

intervals

Results

365.0ms	8000×	body	128	valid
9.0ms	107×	body	128	nan
3.0ms	82×	body	128	invalid

Compiler

Compiled 290 to 250 computations (13.8% saved)

Details

analyze229.0ms (4.9%)

sample24.0ms (0.5%)

simplify149.0ms (3.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite165.0ms (3.6%)

series81.0ms (1.8%)

simplify92.0ms (2%)

prune72.0ms (1.5%)

localize11.0ms (0.2%)

rewrite212.0ms (4.6%)

series56.0ms (1.2%)

simplify126.0ms (2.7%)

prune81.0ms (1.7%)

localize11.0ms (0.2%)

rewrite185.0ms (4%)

series91.0ms (2%)

simplify125.0ms (2.7%)

prune76.0ms (1.7%)

localize9.0ms (0.2%)

rewrite171.0ms (3.7%)

series87.0ms (1.9%)

simplify130.0ms (2.8%)

prune51.0ms (1.1%)

regimes1.5s (31.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample900.0ms (19.5%)

Profiling