Details

analyze1.0s (15.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

749×	`times-frac_binary64`
718×	`div-sub_binary64`
530×	`sub-neg_binary64`
212×	`unsub-neg_binary64`
193×	`cancel-sign-sub-inv_binary64`
174×	`neg-mul-1_binary64`
164×	`+-commutative_binary64`
160×	`neg-sub0_binary64`
121×	`associate-/l*_binary64`
116×	`associate-+l+_binary64`
102×	`distribute-rgt-in_binary64`
101×	`*-commutative_binary64`
92×	`distribute-rgt-neg-in_binary64`
88×	`distribute-lft-neg-in_binary64`
86×	`distribute-lft-in_binary64`
76×	`associate--r+_binary64`
75×	`associate-r_binary64` `associate-+l-_binary64`
74×	`distribute-neg-in_binary64`
68×	`associate-+r+_binary64`
66×	`associate--l+_binary64`
65×	`associate-/r/_binary64`
61×	`distribute-neg-frac_binary64`
50×	`associate--r-_binary64`
45×	`associate-+r-_binary64`
43×	`associate-*l/_binary64`
36×	`associate-l_binary64`
30×	`sub0-neg_binary64`
27×	`associate-/r*_binary64`
22×	`associate--l-_binary64`
19×	`distribute-rgt-neg-out_binary64`
14×	`remove-double-neg_binary64` `distribute-frac-neg_binary64`
12×	`+-rgt-identity_binary64`
11×	`distribute-rgt1-in_binary64`
10×	`distribute-lft-neg-out_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `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-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	209
1	156	209
2	463	209
3	1087	209
4	2829	209
5	5129	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample32.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	212×	body	128	valid
2.0ms	17×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	24×	body	128	invalid
1.0ms	10×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify139.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1201×	`div-sub_binary64`
620×	`sub-neg_binary64`
553×	`unsub-neg_binary64`
363×	`neg-mul-1_binary64` `neg-sub0_binary64`
307×	`distribute-rgt-in_binary64`
258×	`associate-/r/_binary64`
253×	`associate-/l/_binary64`
243×	`distribute-frac-neg_binary64`
241×	`times-frac_binary64`
230×	`distribute-neg-in_binary64`
225×	`+-commutative_binary64`
218×	`distribute-lft-in_binary64`
215×	`*-commutative_binary64`
191×	`distribute-rgt-neg-in_binary64`
180×	`associate-+r+_binary64`
175×	`distribute-lft-neg-in_binary64`
173×	`distribute-neg-frac_binary64`
169×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
164×	`distribute-lft-neg-out_binary64`
162×	`distribute-neg-out_binary64`
161×	`associate-+l+_binary64`
159×	`cancel-sign-sub-inv_binary64`
157×	`associate-/l*_binary64`
153×	`distribute-rgt-out_binary64`
133×	`associate--r+_binary64`
124×	`associate-/r*_binary64`
87×	`cancel-sign-sub_binary64`
85×	`remove-double-neg_binary64`
75×	`associate--l+_binary64`
73×	`associate--r-_binary64`
69×	`distribute-lft-out_binary64`
53×	`associate-r_binary64`
46×	`/-rgt-identity_binary64`
42×	`*-lft-identity_binary64` `associate--l-_binary64` `associate-+l-_binary64`
38×	`associate-l_binary64` `associate-+r-_binary64`
36×	`mul0-lft_binary64`
35×	`mul0-rgt_binary64`
34×	`distribute-lft-out--_binary64`
29×	`*-rgt-identity_binary64`
23×	`div0_binary64`
19×	`sub0-neg_binary64`
15×	`associate-*l/_binary64`
10×	`+-rgt-identity_binary64` `+-lft-identity_binary64`
5×	`--rgt-identity_binary64`
4×	`mul-1-neg_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64`
3×	`remove-double-div_binary64` `associate-*r/_binary64`
2×	`lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`
1×	`1-exp_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	23	19
2	58	19
3	138	19
4	315	19
5	841	19
6	1801	19
7	3103	19
8	3317	19
9	3639	19
10	3758	19
11	4023	19
12	4215	19
13	4872	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
2.2b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.4b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite133.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

9.1b

Rules

22×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
11×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
6×	`distribute-lft-out--_binary64`
5×	`pow1_binary64` `difference-of-squares_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r_binary64` `associate-l*_binary64`
4×	`associate-*l/_binary64` `associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `associate-/l/_binary64` `diff-log_binary64` `frac-sub_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `associate--l+_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

3 → 80

Calls

3 calls:

11.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
6.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 1621 to 341 computations (79% saved)

series282.0ms (4.4%)

Error

1.7b

Counts

3 → 84

Calls

3 calls:

119.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
83.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
28.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 3631 to 2297 computations (36.7% saved)

simplify172.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

627×	`cancel-sign-sub-inv_binary64`
366×	`sub-neg_binary64`
257×	`div-sub_binary64`
171×	`associate-/l*_binary64`
144×	`+-commutative_binary64`
142×	`associate--l+_binary64`
126×	`*-commutative_binary64`
114×	`neg-sub0_binary64`
109×	`associate-l_binary64`
108×	`times-frac_binary64`
107×	`associate--r+_binary64`
104×	`associate-+l+_binary64`
103×	`neg-mul-1_binary64`
98×	`associate-r_binary64`
93×	`distribute-rgt-in_binary64`
88×	`distribute-lft-in_binary64`
82×	`unsub-neg_binary64`
69×	`associate-*l/_binary64`
64×	`associate-+r+_binary64`
59×	`associate-*r/_binary64`
54×	`exp-prod_binary64` `associate-/r*_binary64`
45×	`sqr-pow_binary64`
37×	`associate-/r/_binary64`
36×	`log-prod_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64`
35×	`log-div_binary64`
34×	`distribute-rgt-neg-in_binary64`
30×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
25×	`unpow3_binary64` `distribute-lft-neg-out_binary64`
23×	`cube-div_binary64`
20×	`/-rgt-identity_binary64`
19×	`cube-prod_binary64` `unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
18×	`exp-sum_binary64`
14×	`exp-diff_binary64` `swap-sqr_binary64`
12×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
11×	`*-lft-identity_binary64`
9×	`cube-mult_binary64`
7×	`mul-1-neg_binary64` `div0_binary64`
6×	`log-rec_binary64` `associate--r-_binary64`
5×	`div-exp_binary64` `distribute-rgt-out_binary64`
4×	`associate-+r-_binary64`
3×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
1×	`log-pow_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_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` `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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `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` `count-2_binary64` `associate--l-_binary64`

Counts

164 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3911
1	851	3752
2	3299	3746
3	4965	3746
4	5000	3746
5	4966	3746

prune103.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	129	12	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Error

1.8b

Counts

142 → 12

Compiler

Compiled 2225 to 600 computations (73% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))))
0.0b	(/.f64 y (-.f64 a t))
4.4b	(-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
12.8b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

rewrite156.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

45×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64`
5×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64` `associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

13.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
5.0ms	(/.f64 y (-.f64 a t))
5.0ms	(+.f64 x (-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))))
4.0ms	(-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))

Compiler

Compiled 2258 to 517 computations (77.1% saved)

series404.0ms (6.3%)

Error

1.3b

Counts

4 → 121

Calls

4 calls:

116.0ms	(+.f64 x (-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))))
86.0ms	(-.f64 y (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
81.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
44.0ms	(/.f64 y (-.f64 a t))

Compiler

Compiled 5548 to 3513 computations (36.7% saved)

simplify185.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

837×	`times-frac_binary64`
448×	`sub-neg_binary64`
192×	`associate--l+_binary64`
179×	`+-commutative_binary64`
166×	`associate--r+_binary64`
156×	`associate-/l*_binary64`
122×	`associate-l_binary64`
117×	`associate-+l+_binary64`
108×	`*-commutative_binary64`
102×	`associate-r_binary64`
84×	`neg-sub0_binary64`
78×	`associate-+r+_binary64`
77×	`associate-*r/_binary64`
76×	`distribute-rgt-in_binary64`
75×	`neg-mul-1_binary64`
71×	`div-sub_binary64` `unsub-neg_binary64`
68×	`distribute-lft-in_binary64`
62×	`associate-*l/_binary64`
51×	`associate-/r*_binary64`
42×	`associate-/r/_binary64`
41×	`distribute-neg-in_binary64`
34×	`cancel-sign-sub-inv_binary64`
32×	`associate-/l/_binary64`
25×	`distribute-rgt-neg-in_binary64`
24×	`sqr-pow_binary64`
22×	`log-prod_binary64`
20×	`exp-prod_binary64` `distribute-neg-frac_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`cube-prod_binary64`
15×	`exp-sum_binary64`
14×	`log-div_binary64`
11×	`unpow3_binary64`
10×	`cube-div_binary64` `mul-1-neg_binary64`
9×	`cube-mult_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
6×	`exp-diff_binary64` `distribute-rgt-out_binary64`
5×	`associate-+r-_binary64`
4×	`swap-sqr_binary64` `associate--r-_binary64`
3×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64` `unswap-sqr_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` `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` `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` `rem-square-sqrt_binary64` `-lft-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` `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-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

232 → 174

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5723
1	910	5423
2	3322	5411
3	4992	5411
4	4986	5411

prune121.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	178	8	186

Error

0.1b

Counts

186 → 8

Compiler

Compiled 2755 to 693 computations (74.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (neg.f64 (/.f64 (*.f64 y z) (-.f64 a t))))
6.3b	(/.f64 (*.f64 y z) (-.f64 a t))

rewrite61.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`times-frac_binary64` `associate-/r*_binary64`
4×	`add-cube-cbrt_binary64`
2×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64` `neg-log_binary64` `flip3-+_binary64` `unsub-neg_binary64` `flip-+_binary64` `distribute-rgt-neg-in_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

10.0ms	(+.f64 x (neg.f64 (/.f64 (*.f64 y z) (-.f64 a t))))
7.0ms	(/.f64 (*.f64 y z) (-.f64 a t))

Compiler

Compiled 704 to 197 computations (72% saved)

series140.0ms (2.2%)

Error

0.1b

Counts

2 → 62

Calls

2 calls:

73.0ms	(+.f64 x (neg.f64 (/.f64 (*.f64 y z) (-.f64 a t))))
51.0ms	(/.f64 (*.f64 y z) (-.f64 a t))

Compiler

Compiled 1471 to 1129 computations (23.2% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-/l*_binary64`
607×	`times-frac_binary64`
410×	`div-sub_binary64`
252×	`associate-/l/_binary64`
226×	`associate-/r*_binary64`
190×	`associate-/r/_binary64`
171×	`distribute-rgt-in_binary64`
146×	`cancel-sign-sub-inv_binary64`
129×	`distribute-lft-in_binary64`
110×	`distribute-neg-frac_binary64`
78×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
75×	`distribute-lft-neg-in_binary64`
66×	`cube-prod_binary64`
61×	`associate-l_binary64`
58×	`cube-div_binary64`
53×	`distribute-rgt-neg-out_binary64`
52×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
47×	`neg-sub0_binary64` `associate-r_binary64`
46×	`log-div_binary64`
45×	`log-prod_binary64`
43×	`associate-*r/_binary64`
41×	`neg-mul-1_binary64`
39×	`distribute-neg-in_binary64` `*-commutative_binary64`
36×	`unsub-neg_binary64`
34×	`+-commutative_binary64`
33×	`sqr-pow_binary64`
29×	`distribute-rgt-out_binary64`
24×	`exp-prod_binary64`
22×	`associate-+l+_binary64`
21×	`unpow3_binary64`
18×	`associate--r+_binary64`
17×	`exp-sum_binary64` `cube-mult_binary64`
16×	`*-rgt-identity_binary64` `associate-+r+_binary64`
12×	`associate--l+_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`exp-diff_binary64` `cube-neg_binary64` `unswap-sqr_binary64`
7×	`cube-unmult_binary64` `difference-of-squares_binary64`
6×	`remove-double-neg_binary64` `swap-sqr_binary64`
5×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
4×	`sqr-neg_binary64`
3×	`log-rec_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft-out_binary64` `associate--l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

105 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1847
1	351	1753
2	1303	1599
3	4588	1599
4	5721	1599

prune39.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	61	9	70

Error

0.1b

Counts

70 → 9

Compiler

Compiled 701 to 274 computations (60.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(+.f64 x (neg.f64 (*.f64 y (/.f64 z (-.f64 a t)))))
5.4b	(*.f64 y (/.f64 z (-.f64 a t)))

rewrite109.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

42×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `neg-log_binary64` `flip3-+_binary64` `unsub-neg_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 92

Calls

3 calls:

12.0ms	(*.f64 y (/.f64 z (-.f64 a t)))
5.0ms	(/.f64 z (-.f64 a t))
4.0ms	(+.f64 x (neg.f64 (*.f64 y (/.f64 z (-.f64 a t)))))

Compiler

Compiled 1522 to 431 computations (71.7% saved)

series182.0ms (2.8%)

Error

0.1b

Counts

3 → 80

Calls

3 calls:

70.0ms	(+.f64 x (neg.f64 (*.f64 y (/.f64 z (-.f64 a t)))))
52.0ms	(*.f64 y (/.f64 z (-.f64 a t)))
37.0ms	(/.f64 z (-.f64 a t))

Compiler

Compiled 2042 to 1598 computations (21.7% saved)

simplify123.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-/l*_binary64`
537×	`times-frac_binary64`
347×	`div-sub_binary64`
226×	`cancel-sign-sub-inv_binary64`
193×	`distribute-rgt-in_binary64`
158×	`associate-/l/_binary64`
145×	`distribute-lft-in_binary64`
142×	`associate-/r/_binary64`
131×	`associate-l_binary64`
129×	`distribute-rgt-neg-in_binary64`
115×	`associate-r_binary64`
114×	`distribute-lft-neg-in_binary64`
93×	`distribute-neg-frac_binary64`
80×	`sub-neg_binary64`
79×	`distribute-lft-neg-out_binary64`
73×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
72×	`cube-prod_binary64`
68×	`*-commutative_binary64`
63×	`neg-sub0_binary64`
55×	`log-prod_binary64` `neg-mul-1_binary64`
53×	`distribute-rgt-out_binary64`
51×	`associate-*l/_binary64`
47×	`distribute-neg-in_binary64`
42×	`unsub-neg_binary64` `sqr-pow_binary64`
41×	`exp-prod_binary64`
40×	`associate-/r*_binary64` `+-commutative_binary64`
37×	`cube-div_binary64`
35×	`*-rgt-identity_binary64`
32×	`log-div_binary64`
24×	`associate-+l+_binary64`
22×	`*-lft-identity_binary64`
21×	`associate--r+_binary64`
19×	`exp-sum_binary64` `associate-+r+_binary64`
16×	`unpow3_binary64`
12×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
11×	`exp-diff_binary64` `cube-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
10×	`swap-sqr_binary64`
9×	`associate--l+_binary64`
8×	`remove-double-neg_binary64` `unswap-sqr_binary64`
7×	`cube-unmult_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64`
6×	`sqr-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `div0_binary64` `pow-sqr_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

172 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2802
1	475	2678
2	1725	2485
3	4580	2485
4	5500	2485

prune43.0ms (0.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	89	9	98

Error

0.1b

Counts

98 → 9

Compiler

Compiled 752 to 246 computations (67.3% saved)

regimes1.5s (23.9%)

Accuracy

Total 2.8b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 14428 to 10641 computations (26.2% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

87×	`cancel-sign-sub-inv_binary64`
86×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
56×	`neg-mul-1_binary64` `neg-sub0_binary64`
48×	`distribute-lft-neg-out_binary64`
45×	`distribute-neg-in_binary64`
39×	`sub-neg_binary64`
34×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
31×	`unsub-neg_binary64`
27×	`*-commutative_binary64`
18×	`distribute-neg-out_binary64`
14×	`remove-double-neg_binary64`
10×	`distribute-frac-neg_binary64`
3×	`distribute-neg-frac_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	166
1	66	166
2	94	166
3	123	166
4	142	166
5	159	166
6	169	166
7	179	166
8	198	166
9	218	166
10	254	166
11	308	166
12	369	166
13	428	166
14	463	166
15	484	166
16	493	166
17	495	166
18	491	166

end2.0ms (0%)

Compiler: Compiled 112 to 43 computations (61.6% saved)

sample1.3s (20.1%)

Algorithm

1×

intervals

Results

280.0ms	6829×	body	128	valid
54.0ms	420×	body	512	valid
49.0ms	349×	body	1024	valid
31.0ms	710×	body	128	invalid
24.0ms	336×	body	256	valid
12.0ms	66×	body	2048	valid

Compiler

Compiled 335 to 220 computations (34.3% saved)

Iter	Nodes	Cost
0	41	166
1	66	166
2	94	166
3	123	166
4	142	166
5	159	166
6	169	166
7	179	166
8	198	166
9	218	166
10	254	166
11	308	166
12	369	166
13	428	166
14	463	166
15	484	166
16	493	166
17	495	166
18	491	166

Iter	Nodes	Cost
0	41	166
1	66	166
2	94	166
3	123	166
4	142	166
5	159	166
6	169	166
7	179	166
8	198	166
9	218	166
10	254	166
11	308	166
12	369	166
13	428	166
14	463	166
15	484	166
16	493	166
17	495	166
18	491	166

Details

analyze1.0s (15.8%)

sample32.0ms (0.5%)

simplify139.0ms (2.2%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite133.0ms (2.1%)

series282.0ms (4.4%)

simplify172.0ms (2.7%)

prune103.0ms (1.6%)

localize9.0ms (0.1%)

rewrite156.0ms (2.4%)

series404.0ms (6.3%)

simplify185.0ms (2.9%)

prune121.0ms (1.9%)

localize8.0ms (0.1%)

rewrite61.0ms (0.9%)

series140.0ms (2.2%)

simplify95.0ms (1.5%)

prune39.0ms (0.6%)

localize8.0ms (0.1%)

rewrite109.0ms (1.7%)

series182.0ms (2.8%)

simplify123.0ms (1.9%)

prune43.0ms (0.7%)

regimes1.5s (23.9%)

bsearch5.0ms (0.1%)

simplify30.0ms (0.5%)

end2.0ms (0%)

sample1.3s (20.1%)

Profiling

Iter	Nodes	Cost
0	41	166
1	66	166
2	94	166
3	123	166
4	142	166
5	159	166
6	169	166
7	179	166
8	198	166
9	218	166
10	254	166
11	308	166
12	369	166
13	428	166
14	463	166
15	484	166
16	493	166
17	495	166
18	491	166