Details

analyze255.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

933×	`associate-/l/_binary64`
444×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
386×	`+-commutative_binary64`
378×	`distribute-rgt-in_binary64`
346×	`distribute-lft-in_binary64`
335×	`distribute-lft-out_binary64`
333×	`associate-/r*_binary64`
301×	`times-frac_binary64`
233×	`distribute-rgt-out_binary64` `associate-r_binary64`
230×	`associate-l_binary64`
207×	`associate-/r/_binary64`
188×	`associate-*l/_binary64`
166×	`associate-+r+_binary64`
159×	`associate-/l*_binary64`
146×	`associate-+l+_binary64`
137×	`sqr-pow_binary64`
116×	`associate-*r/_binary64`
109×	`cube-prod_binary64`
71×	`distribute-rgt1-in_binary64`
49×	`*-lft-identity_binary64`
45×	`unpow3_binary64`
44×	`remove-double-div_binary64`
43×	`/-rgt-identity_binary64` `pow-sqr_binary64`
41×	`*-rgt-identity_binary64`
37×	`cube-mult_binary64`
32×	`distribute-lft1-in_binary64`
25×	`cube-div_binary64`
23×	`rem-sqrt-square_binary64`
20×	`swap-sqr_binary64`
12×	`pow-plus_binary64` `cube-unmult_binary64`
7×	`unpow2_binary64`
6×	`unpow1_binary64`
4×	`unpow1/2_binary64` `lft-mult-inverse_binary64`
2×	`*-inverses_binary64`
1×	`1-exp_binary64` `swap-x-y`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	50	50
2	156	50
3	472	50
4	1451	50
5	2156	50
6	2637	50
7	2625	50
8	2700	50
9	2752	50
10	2836	50
11	3638	50
12	4861	50
13	4737	50
14	4955	50
15	4977	50
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%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Symmetry

(sort x y)

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 35 to 21 computations (40% saved)

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

985×	`associate-/l*_binary64`
739×	`distribute-lft-out_binary64`
711×	`*-commutative_binary64`
475×	`distribute-rgt-out_binary64`
391×	`+-commutative_binary64`
315×	`distribute-rgt-in_binary64`
304×	`associate-/l/_binary64`
285×	`distribute-lft-in_binary64`
275×	`times-frac_binary64`
251×	`associate-/r*_binary64`
205×	`sqr-pow_binary64`
192×	`associate-l_binary64`
178×	`associate-r_binary64`
168×	`unswap-sqr_binary64`
149×	`associate-+r+_binary64`
146×	`associate-/r/_binary64`
139×	`associate-+l+_binary64`
118×	`remove-double-div_binary64` `associate-*l/_binary64`
84×	`cube-prod_binary64`
77×	`associate-*r/_binary64`
61×	`pow-sqr_binary64`
44×	`cube-div_binary64` `distribute-rgt1-in_binary64`
38×	`unpow3_binary64`
34×	`/-rgt-identity_binary64`
32×	`cube-mult_binary64`
30×	`*-lft-identity_binary64`
27×	`*-rgt-identity_binary64`
26×	`swap-sqr_binary64`
21×	`distribute-lft1-in_binary64`
13×	`pow-plus_binary64` `rem-sqrt-square_binary64`
11×	`cube-unmult_binary64`
8×	`unpow2_binary64`
6×	`unpow1_binary64`
5×	`unpow1/2_binary64`
2×	`*-inverses_binary64`
1×	`1-exp_binary64` `lft-mult-inverse_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	39	25
2	131	25
3	440	25
4	1275	25
5	1861	25
6	2328	25
7	2306	25
8	2359	25
9	2416	25
10	2509	25
11	3695	25
12	3827	25
13	4248	25
14	4684	25
15	4953	25

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.7b

Counts

1 → 1

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
18.5b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite244.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

60×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*l/_binary64`
27×	`*-un-lft-identity_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*r/_binary64`
15×	`pow1_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`associate-r_binary64` `distribute-lft-out_binary64`
8×	`add-cube-cbrt_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `swap-sqr_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64`

Counts

3 → 140

Calls

3 calls:

18.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
16.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 4490 to 1383 computations (69.2% saved)

series225.0ms (3%)

Error

3.5b

Counts

3 → 64

Calls

3 calls:

100.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
39.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
31.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 3413 to 2548 computations (25.3% saved)

simplify179.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

565×	`times-frac_binary64`
366×	`distribute-rgt-in_binary64`
361×	`associate-/r*_binary64`
346×	`distribute-lft-in_binary64`
320×	`associate-/l*_binary64`
105×	`*-commutative_binary64`
82×	`associate-*l/_binary64`
79×	`+-commutative_binary64`
74×	`associate-*r/_binary64`
56×	`sub-neg_binary64`
51×	`associate-+r+_binary64`
49×	`associate-l_binary64`
48×	`unswap-sqr_binary64`
33×	`cancel-sign-sub-inv_binary64`
32×	`log-div_binary64`
30×	`distribute-neg-in_binary64`
25×	`sqr-pow_binary64` `associate-/r/_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-r_binary64`
14×	`distribute-rgt-out_binary64`
12×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
10×	`log-prod_binary64` `exp-prod_binary64` `*-lft-identity_binary64`
9×	`associate--l+_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
6×	`associate-/l/_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `distribute-rgt1-in_binary64`
3×	`log-pow_binary64` `cube-mult_binary64` `cube-prod_binary64`
2×	`rem-sqrt-square_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`log-rec_binary64` `pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

204 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	6832
1	1218	6300
2	4982	6293
3	5011	6293

prune153.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	172	9	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	9	182

Error

2.2b

Counts

182 → 9

Compiler

Compiled 3911 to 1636 computations (58.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(/.f64 y (+.f64 x (+.f64 y 1)))
0.1b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
16.8b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite303.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

80×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out_binary64`
25×	`associate-r_binary64`
20×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
19×	`associate-l_binary64`
13×	`pow1_binary64` `frac-times_binary64`
10×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
7×	`associate-l/_binary64` `associate-r/_binary64`
6×	`associate-/l_binary64` `associate-/r_binary64` `swap-sqr_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 170

Calls

4 calls:

24.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
12.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
9.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
7.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))

Compiler

Compiled 4084 to 1464 computations (64.2% saved)

series287.0ms (3.8%)

Error

0.7b

Counts

4 → 81

Calls

4 calls:

102.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
53.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))
34.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
32.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 4505 to 3289 computations (27% saved)

simplify231.0ms (3%)

Algorithm

1×	egg-herbie

Rules

301×	`associate-/r*_binary64`
296×	`times-frac_binary64`
236×	`associate-/l*_binary64`
227×	`associate-r_binary64`
218×	`associate-r/_binary64` `associate-l*_binary64`
197×	`associate-*l/_binary64`
145×	`associate-+l+_binary64`
143×	`distribute-rgt-in_binary64`
131×	`distribute-lft-in_binary64`
103×	`associate--l+_binary64`
100×	`*-commutative_binary64`
97×	`associate--r+_binary64`
94×	`sub-neg_binary64`
78×	`+-commutative_binary64`
44×	`distribute-neg-in_binary64` `associate-+r+_binary64`
43×	`cancel-sign-sub-inv_binary64`
41×	`exp-prod_binary64`
37×	`log-prod_binary64` `associate-/l/_binary64`
32×	`log-div_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64`
25×	`sqr-pow_binary64`
23×	`unswap-sqr_binary64`
20×	`associate-/r/_binary64`
13×	`exp-sum_binary64` `distribute-rgt-neg-in_binary64`
11×	`cube-unmult_binary64`
10×	`associate-+l-_binary64`
9×	`distribute-lft-neg-in_binary64`
7×	`log-pow_binary64` `swap-sqr_binary64`
6×	`distribute-neg-frac_binary64` `associate-+r-_binary64`
5×	`distribute-rgt-out_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `*-rgt-identity_binary64`
3×	`pow-plus_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
2×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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-rec_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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

251 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	7021
1	1232	6414
2	4848	6278
3	5000	6278
4	4979	6278

prune176.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	198	10	208

Error

0.7b

Counts

208 → 10

Compiler

Compiled 3674 to 1840 computations (49.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
7.7b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
16.8b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite232.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`flip3-+_binary64` `flip-+_binary64` `associate-l_binary64`
18×	`associate-/r/_binary64`
15×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`
12×	`times-frac_binary64` `frac-times_binary64` `distribute-lft-out_binary64`
10×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
8×	`associate-*l/_binary64`
7×	`associate-r_binary64`
6×	`associate-r/_binary64` `associate-/r_binary64` `swap-sqr_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`div-inv_binary64` `unswap-sqr_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 137

Calls

4 calls:

17.0ms	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
14.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
9.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 3394 to 923 computations (72.8% saved)

series267.0ms (3.5%)

Error

0.0b

Counts

4 → 79

Calls

4 calls:

100.0ms	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
46.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
36.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
33.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 3831 to 2942 computations (23.2% saved)

simplify166.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

293×	`times-frac_binary64`
283×	`associate-/r*_binary64`
240×	`unswap-sqr_binary64`
231×	`associate-/l*_binary64`
227×	`sub-neg_binary64`
214×	`associate-r_binary64`
183×	`associate-l_binary64`
165×	`*-commutative_binary64`
149×	`+-commutative_binary64`
136×	`associate-+r+_binary64`
131×	`distribute-rgt-in_binary64`
128×	`associate-*l/_binary64`
119×	`distribute-lft-in_binary64`
105×	`associate-*r/_binary64`
104×	`associate-+l+_binary64`
74×	`associate--l+_binary64`
70×	`neg-mul-1_binary64` `neg-sub0_binary64`
64×	`associate--r+_binary64`
58×	`associate-/l/_binary64`
53×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
45×	`unsub-neg_binary64`
40×	`exp-prod_binary64`
39×	`log-div_binary64`
31×	`log-prod_binary64` `distribute-neg-in_binary64`
28×	`*-rgt-identity_binary64`
27×	`cube-div_binary64`
25×	`cube-prod_binary64` `/-rgt-identity_binary64`
22×	`associate-/r/_binary64`
20×	`*-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
16×	`distribute-lft-neg-in_binary64`
10×	`exp-sum_binary64` `cube-unmult_binary64` `distribute-neg-frac_binary64`
7×	`div-sub_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
6×	`swap-sqr_binary64`
5×	`pow-plus_binary64` `distribute-rgt-out_binary64`
4×	`log-rec_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64`
3×	`log-pow_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
2×	`distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_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` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

216 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	5711
1	1019	5132
2	4282	4995
3	5120	4995

prune375.0ms (4.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	192	7	199

Error

0.0b

Counts

199 → 7

Compiler

Compiled 3213 to 1543 computations (52% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.1b	(/.f64 (.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
0.2b	(.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y))))
9.3b	(*.f64 y (/.f64 x (+.f64 x y)))

rewrite310.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

105×	`add-exp-log_binary64`
62×	`*-un-lft-identity_binary64`
61×	`add-cbrt-cube_binary64`
42×	`prod-exp_binary64` `times-frac_binary64`
37×	`add-sqr-sqrt_binary64`
36×	`div-exp_binary64`
32×	`add-cube-cbrt_binary64`
22×	`cbrt-unprod_binary64`
21×	`associate-l_binary64`
19×	`cbrt-undiv_binary64` `associate-r_binary64`
16×	`distribute-lft-out_binary64`
12×	`pow1_binary64`
9×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`associate-*r/_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
3×	`associate-/l/_binary64`
2×	`unswap-sqr_binary64` `-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 170

Calls

4 calls:

20.0ms	(/.f64 (.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
15.0ms	(.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y))))
13.0ms	(*.f64 y (/.f64 x (+.f64 x y)))
5.0ms	(/.f64 1 (+.f64 x y))

Compiler

Compiled 4312 to 1507 computations (65.1% saved)

series274.0ms (3.6%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

101.0ms	(/.f64 (.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
46.0ms	(.f64 (/.f64 1 (+.f64 x y)) (.f64 y (/.f64 x (+.f64 x y))))
37.0ms	(*.f64 y (/.f64 x (+.f64 x y)))
35.0ms	(/.f64 1 (+.f64 x y))

Compiler

Compiled 4212 to 3083 computations (26.8% saved)

simplify187.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

344×	`times-frac_binary64`
342×	`associate-r_binary64`
335×	`associate-/l*_binary64`
300×	`associate-/r*_binary64`
270×	`sub-neg_binary64`
264×	`associate-l_binary64`
171×	`associate-*r/_binary64`
167×	`associate-*l/_binary64`
116×	`associate-+l+_binary64`
95×	`associate--l+_binary64`
90×	`*-commutative_binary64`
84×	`associate-/l/_binary64`
71×	`distribute-rgt-in_binary64`
69×	`neg-mul-1_binary64` `associate--r+_binary64`
68×	`neg-sub0_binary64`
60×	`+-commutative_binary64`
56×	`associate-/r/_binary64`
55×	`distribute-lft-in_binary64`
51×	`log-div_binary64`
49×	`unsub-neg_binary64`
47×	`log-prod_binary64`
44×	`cancel-sign-sub-inv_binary64`
42×	`exp-prod_binary64`
36×	`associate-+r+_binary64`
32×	`cube-prod_binary64`
31×	`distribute-neg-in_binary64`
27×	`div-sub_binary64`
26×	`cube-div_binary64`
25×	`sqr-pow_binary64`
21×	`distribute-rgt-neg-in_binary64`
16×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64`
13×	`distribute-neg-frac_binary64`
12×	`swap-sqr_binary64`
10×	`*-lft-identity_binary64` `associate-+r-_binary64`
8×	`log-rec_binary64` `cube-unmult_binary64`
6×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64`
3×	`distribute-rgt-out_binary64` `associate--l-_binary64`
2×	`log-pow_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_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` `unpow1/3_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-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` `rem-square-sqrt_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

255 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	6470
1	1100	5730
2	4529	5691
3	5063	5691

prune197.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	221	8	229

Error

Counts

229 → 8

Compiler

Compiled 3367 to 1402 computations (58.4% saved)

regimes2.4s (31.6%)

Accuracy

Total 0.1b remaining (58.1%)

Threshold costs 0.1b (58.1%)

Compiler

Compiled 41342 to 24078 computations (41.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-commutative_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	11	25
1	15	25
2	14	25

end6.0ms (0.1%)

Compiler: Compiled 51 to 27 computations (47.1% saved)

sample939.0ms (12.3%)

Algorithm

1×

intervals

Results

303.0ms

8000×

body

128

valid

Compiler

Compiled 252 to 155 computations (38.5% saved)

Details

analyze255.0ms (3.3%)

sample27.0ms (0.4%)

simplify137.0ms (1.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite244.0ms (3.2%)

series225.0ms (3%)

simplify179.0ms (2.3%)

prune153.0ms (2%)

localize9.0ms (0.1%)

rewrite303.0ms (4%)

series287.0ms (3.8%)

simplify231.0ms (3%)

prune176.0ms (2.3%)

localize8.0ms (0.1%)

rewrite232.0ms (3%)

series267.0ms (3.5%)

simplify166.0ms (2.2%)

prune375.0ms (4.9%)

localize10.0ms (0.1%)

rewrite310.0ms (4.1%)

series274.0ms (3.6%)

simplify187.0ms (2.5%)

prune197.0ms (2.6%)

regimes2.4s (31.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end6.0ms (0.1%)

sample939.0ms (12.3%)

Profiling