Details

analyze720.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Rules

280×	`sub-neg_binary64`
266×	`unsub-neg_binary64`
250×	`cancel-sign-sub-inv_binary64`
182×	`distribute-rgt-in_binary64`
134×	`associate--r+_binary64`
131×	`associate-/l*_binary64`
130×	`distribute-rgt-neg-in_binary64` `*-commutative_binary64`
110×	`distribute-lft-in_binary64`
108×	`div-sub_binary64` `associate--r-_binary64`
88×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
86×	`distribute-lft-neg-out_binary64` `associate-r_binary64` `associate-+l-_binary64`
79×	`distribute-rgt-neg-out_binary64`
78×	`+-commutative_binary64`
73×	`cancel-sign-sub_binary64`
70×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
66×	`associate--l+_binary64`
64×	`associate-/r*_binary64`
63×	`neg-sub0_binary64`
48×	`sub0-neg_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64`
42×	`associate--l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
40×	`associate-/l/_binary64`
37×	`associate-/r/_binary64`
36×	`associate-+l+_binary64`
30×	`distribute-neg-out_binary64`
20×	`remove-double-neg_binary64`
19×	`+-rgt-identity_binary64` `distribute-frac-neg_binary64`
15×	`associate-*l/_binary64`
12×	`*-rgt-identity_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64`
8×	`mul0-lft_binary64` `div0_binary64`
6×	`*-lft-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64`
4×	`/-rgt-identity_binary64`
1×	`1-exp_binary64` `swap-y-z`
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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	112
1	86	112
2	185	112
3	369	112
4	694	112
5	1336	112
6	1627	112
7	1650	112
8	1662	112
9	1662	112
10	1664	112
11	1664	112
12	1579	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Symmetry

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

113×	`cancel-sign-sub-inv_binary64`
62×	`sub-neg_binary64`
58×	`unsub-neg_binary64`
50×	`distribute-rgt-neg-in_binary64`
39×	`associate-/l*_binary64`
37×	`distribute-rgt-in_binary64`
31×	`associate--r+_binary64`
29×	`distribute-lft-neg-in_binary64`
28×	`neg-mul-1_binary64`
24×	`distribute-neg-in_binary64`
23×	`neg-sub0_binary64`
22×	`div-sub_binary64` `*-commutative_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`associate-/r*_binary64` `associate-+l-_binary64` `+-commutative_binary64`
18×	`distribute-neg-frac_binary64`
16×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
14×	`distribute-lft-in_binary64`
13×	`associate--l+_binary64`
11×	`sub0-neg_binary64` `+-lft-identity_binary64`
10×	`associate-/r/_binary64`
9×	`associate-*l/_binary64`
8×	`remove-double-neg_binary64` `mul0-rgt_binary64` `associate-/l/_binary64` `associate-l_binary64` `associate-r_binary64`
7×	`*-lft-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
6×	`mul0-lft_binary64` `associate--l-_binary64` `associate-+l+_binary64`
4×	`-rgt-identity_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `div0_binary64` `associate-r/_binary64`
2×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_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` `/-rgt-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	26	16
2	47	16
3	88	16
4	164	16
5	257	16
6	348	16
7	437	16
8	494	16
9	491	16
10	417	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))

rewrite81.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cancel-sign-sub-inv_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l+_binary64`
3×	`pow1_binary64` `div-inv_binary64` `associate-/r*_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `sum-log_binary64`
1×	`flip3--_binary64` `flip--_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

3 → 61

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
6.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
4.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 1131 to 711 computations (37.1% saved)

series116.0ms (2.1%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

51.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
37.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
14.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 767 to 780 computations (-1.7% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

410×	`associate-l_binary64`
358×	`associate-r_binary64`
319×	`distribute-neg-frac_binary64`
284×	`associate-/l*_binary64`
243×	`associate-*l/_binary64`
207×	`associate-*r/_binary64`
181×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
172×	`log-div_binary64`
136×	`sub-neg_binary64`
135×	`distribute-rgt-in_binary64`
127×	`unsub-neg_binary64`
125×	`distribute-lft-in_binary64`
123×	`log-prod_binary64`
122×	`associate-/l/_binary64`
92×	`exp-prod_binary64`
87×	`neg-sub0_binary64`
83×	`div-sub_binary64`
78×	`neg-mul-1_binary64`
76×	`associate-/r/_binary64`
73×	`distribute-rgt-neg-in_binary64`
68×	`times-frac_binary64`
66×	`sqr-pow_binary64`
63×	`+-commutative_binary64`
59×	`cancel-sign-sub-inv_binary64`
58×	`distribute-lft-neg-in_binary64`
56×	`swap-sqr_binary64`
55×	`associate-/r*_binary64`
47×	`exp-sum_binary64`
43×	`cube-prod_binary64` `associate-+l+_binary64`
39×	`unswap-sqr_binary64`
37×	`cube-div_binary64` `associate-+r+_binary64`
35×	`distribute-neg-in_binary64`
33×	`cancel-sign-sub_binary64`
30×	`distribute-frac-neg_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`associate-+l-_binary64`
24×	`exp-diff_binary64`
21×	`associate--r+_binary64`
18×	`associate-+r-_binary64`
17×	`associate--l+_binary64`
15×	`log-rec_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
14×	`unpow3_binary64`
13×	`associate--l-_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
10×	`difference-of-squares_binary64` `distribute-neg-out_binary64`
9×	`/-rgt-identity_binary64` `associate--r-_binary64`
7×	`div0_binary64`
6×	`exp-sqrt_binary64`
4×	`prod-exp_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64`
3×	`div-exp_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
2×	`rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `remove-double-div_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` `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-cbrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

109 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1394
1	331	1361
2	886	1346
3	3502	1345
4	4743	1345
5	4931	1345

prune34.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Error

0.0b

Counts

83 → 3

Compiler

Compiled 663 to 418 computations (37% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 -1/2 (.f64 z y))
0.0b	(+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))

rewrite48.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sum-log_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

8.0ms	(+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))
5.0ms	(.f64 -1/2 (.f64 z y))

Compiler

Compiled 541 to 334 computations (38.3% saved)

series72.0ms (1.3%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

53.0ms	(+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))
15.0ms	(.f64 -1/2 (.f64 z y))

Compiler

Compiled 502 to 508 computations (-1.2% saved)

simplify142.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64`
505×	`associate-r_binary64`
399×	`distribute-rgt-neg-in_binary64`
360×	`distribute-rgt-neg-out_binary64`
318×	`distribute-lft-neg-out_binary64`
274×	`distribute-rgt-in_binary64`
250×	`distribute-lft-in_binary64`
168×	`*-commutative_binary64`
167×	`unsub-neg_binary64`
166×	`cancel-sign-sub-inv_binary64`
111×	`times-frac_binary64`
101×	`exp-prod_binary64`
99×	`sub-neg_binary64`
86×	`cube-prod_binary64`
85×	`log-prod_binary64` `neg-sub0_binary64`
79×	`distribute-neg-in_binary64` `associate-+l+_binary64`
67×	`neg-mul-1_binary64` `associate-+r+_binary64`
59×	`sqr-pow_binary64`
57×	`cancel-sign-sub_binary64`
56×	`distribute-lft-neg-in_binary64`
52×	`distribute-neg-out_binary64`
41×	`swap-sqr_binary64`
38×	`unswap-sqr_binary64`
27×	`exp-diff_binary64` `exp-sum_binary64` `+-commutative_binary64`
23×	`associate--r+_binary64`
22×	`associate--l+_binary64`
18×	`distribute-rgt-out_binary64`
17×	`unpow3_binary64`
14×	`remove-double-neg_binary64` `associate-+l-_binary64`
12×	`cube-neg_binary64`
11×	`div-sub_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
9×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
8×	`cube-unmult_binary64` `sqr-neg_binary64` `sub0-neg_binary64`
6×	`+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
5×	`unpow1/2_binary64` `prod-exp_binary64` `exp-neg_binary64` `pow-sqr_binary64`
4×	`associate-/l*_binary64` `associate--l-_binary64`
3×	`--rgt-identity_binary64`
2×	`pow-plus_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

61 → 37

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	803
1	197	770
2	669	770
3	2928	770
4	4651	770
5	4994	770
6	4999	770
7	4955	770

prune27.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	37	3	40

Error

0.0b

Counts

40 → 3

Compiler

Compiled 434 to 276 computations (36.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (.f64 1/8 x) t))) (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))

rewrite164.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (.f64 1/8 x) t))) (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))))
8.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))

Compiler

Compiled 4611 to 2876 computations (37.6% saved)

series1.2s (21.4%)

Error

0.0b

Counts

4 → 103

Calls

4 calls:

286.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (.f64 1/8 x) t))) (cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t))))
176.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
173.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))
170.0ms	(cbrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (+.f64 (*.f64 1/8 x) t)))

Compiler

Compiled 19332 to 14938 computations (22.7% saved)

simplify188.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-r_binary64`
332×	`times-frac_binary64`
316×	`associate-l_binary64`
248×	`associate-/l*_binary64`
206×	`associate-/r*_binary64`
170×	`*-commutative_binary64`
124×	`associate-*r/_binary64`
122×	`cancel-sign-sub-inv_binary64`
118×	`associate-*l/_binary64`
99×	`sub-neg_binary64`
83×	`sqr-pow_binary64`
58×	`+-commutative_binary64`
50×	`distribute-rgt-in_binary64`
49×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
46×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
44×	`distribute-neg-in_binary64`
41×	`associate-/r/_binary64`
30×	`exp-prod_binary64`
28×	`associate-+r+_binary64`
22×	`log-prod_binary64`
18×	`unpow1/3_binary64`
16×	`associate--r+_binary64`
15×	`unswap-sqr_binary64` `associate--l+_binary64`
7×	`log-div_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64`
6×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`cube-unmult_binary64` `cube-prod_binary64`
3×	`log-rec_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
2×	`log-pow_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_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` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

190 → 170

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	10430
1	1477	9901
2	5054	9901

prune224.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	169	4	173

Error

Counts

173 → 4

Compiler

Compiled 9339 to 5906 computations (36.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (.f64 z y) -1/2))) (+.f64 (.f64 1/8 x) t))
0.2b	(.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (*.f64 z y) -1/2)))
8.4b	(sqrt.f64 (.f64 (.f64 z y) -1/2))
8.4b	(sqrt.f64 (.f64 (.f64 z y) -1/2))

rewrite130.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

143×	`pow1_binary64`
77×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`pow-sqr_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
4×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`sum-log_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

15.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (.f64 z y) -1/2))) (+.f64 (.f64 1/8 x) t))
12.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (*.f64 z y) -1/2)))
4.0ms	(sqrt.f64 (.f64 (.f64 z y) -1/2))
4.0ms	(sqrt.f64 (.f64 (.f64 z y) -1/2))

Compiler

Compiled 1804 to 1110 computations (38.5% saved)

series133.0ms (2.4%)

Error

Counts

4 → 38

Calls

4 calls:

67.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (.f64 z y) -1/2))) (+.f64 (.f64 1/8 x) t))
21.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z y) -1/2)) (sqrt.f64 (.f64 (*.f64 z y) -1/2)))
19.0ms	(sqrt.f64 (.f64 (.f64 z y) -1/2))
17.0ms	(sqrt.f64 (.f64 (.f64 z y) -1/2))

Compiler

Compiled 1279 to 1190 computations (7% saved)

simplify154.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

521×	`unswap-sqr_binary64`
343×	`*-commutative_binary64`
320×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
287×	`log-prod_binary64`
270×	`cancel-sign-sub-inv_binary64`
246×	`exp-prod_binary64`
182×	`unsub-neg_binary64`
140×	`associate-l_binary64`
136×	`cube-prod_binary64`
128×	`associate-r_binary64`
122×	`neg-mul-1_binary64` `neg-sub0_binary64`
110×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
105×	`sub-neg_binary64`
104×	`sqr-pow_binary64`
93×	`associate-+l+_binary64`
92×	`distribute-lft-neg-in_binary64`
81×	`associate-+r+_binary64`
64×	`cancel-sign-sub_binary64`
48×	`distribute-neg-out_binary64`
43×	`unpow3_binary64`
38×	`+-commutative_binary64`
34×	`distribute-lft-neg-out_binary64`
29×	`log-pow_binary64`
28×	`distribute-rgt-neg-out_binary64`
26×	`distribute-lft-out_binary64`
24×	`associate--r+_binary64`
23×	`distribute-rgt-out_binary64`
22×	`associate--l+_binary64`
21×	`remove-double-neg_binary64`
20×	`distribute-neg-in_binary64`
19×	`pow-sqr_binary64`
16×	`pow-plus_binary64`
15×	`exp-diff_binary64`
14×	`cube-mult_binary64`
13×	`exp-sum_binary64` `*-rgt-identity_binary64` `associate-+l-_binary64`
12×	`*-lft-identity_binary64` `difference-of-squares_binary64`
11×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
9×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
8×	`sub0-neg_binary64` `distribute-lft-out--_binary64`
7×	`unpow2_binary64`
6×	`cube-neg_binary64` `+-rgt-identity_binary64` `associate--r-_binary64`
5×	`unpow1_binary64` `prod-exp_binary64` `cube-unmult_binary64` `rem-square-sqrt_binary64`
4×	`associate-/l*_binary64` `associate--l-_binary64`
3×	`--rgt-identity_binary64`
2×	`mul-1-neg_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-div_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

141 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	1608
1	254	1389
2	946	1365
3	2789	1346
4	4676	1316
5	4974	1316
6	4948	1316

prune55.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 895 to 587 computations (34.4% saved)

regimes978.0ms (17.7%)

Accuracy

Total 0.0b remaining (19%)

Threshold costs 0.0b (19%)

Compiler

Compiled 12327 to 11022 computations (10.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`unpow1_binary64` `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` `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	16	16
1	23	16
2	21	16

end6.0ms (0.1%)

Remove: (sort y z)
Compiler: Compiled 33 to 33 computations (0% saved)

sample862.0ms (15.6%)

Algorithm

1×

intervals

Results

329.0ms	8000×	body	128	valid
41.0ms	1104×	body	128	invalid

Compiler

Compiled 136 to 135 computations (0.7% saved)

Iter	Nodes	Cost
0	15	16
1	26	16
2	47	16
3	88	16
4	164	16
5	257	16
6	348	16
7	437	16
8	494	16
9	491	16
10	417	16

Iter	Nodes	Cost
0	15	16
1	26	16
2	47	16
3	88	16
4	164	16
5	257	16
6	348	16
7	437	16
8	494	16
9	491	16
10	417	16

Details

analyze720.0ms (13%)

sample29.0ms (0.5%)

simplify30.0ms (0.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite81.0ms (1.5%)

series116.0ms (2.1%)

simplify103.0ms (1.9%)

prune34.0ms (0.6%)

localize8.0ms (0.1%)

rewrite48.0ms (0.9%)

series72.0ms (1.3%)

simplify142.0ms (2.6%)

prune27.0ms (0.5%)

localize16.0ms (0.3%)

rewrite164.0ms (3%)

series1.2s (21.4%)

simplify188.0ms (3.4%)

prune224.0ms (4.1%)

localize10.0ms (0.2%)

rewrite130.0ms (2.4%)

series133.0ms (2.4%)

simplify154.0ms (2.8%)

prune55.0ms (1%)

regimes978.0ms (17.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end6.0ms (0.1%)

sample862.0ms (15.6%)

Profiling

Iter	Nodes	Cost
0	15	16
1	26	16
2	47	16
3	88	16
4	164	16
5	257	16
6	348	16
7	437	16
8	494	16
9	491	16
10	417	16