Details

analyze1.2s (9.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

601×	`div-sub_binary64`
570×	`cancel-sign-sub-inv_binary64`
453×	`distribute-rgt-neg-in_binary64`
423×	`distribute-lft-neg-in_binary64`
348×	`distribute-rgt-in_binary64`
263×	`associate-r_binary64`
198×	`associate-l_binary64`
146×	`sub-neg_binary64`
129×	`*-commutative_binary64`
127×	`associate-/r*_binary64`
108×	`distribute-neg-frac_binary64`
93×	`associate-/l*_binary64`
75×	`distribute-neg-in_binary64`
67×	`neg-sub0_binary64`
64×	`neg-mul-1_binary64`
48×	`distribute-lft-in_binary64` `+-commutative_binary64`
47×	`associate-/r/_binary64`
42×	`times-frac_binary64`
36×	`associate--l+_binary64`
33×	`distribute-rgt-neg-out_binary64`
30×	`distribute-lft-neg-out_binary64` `associate-/l/_binary64`
28×	`associate-+r+_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+l-_binary64`
15×	`unsub-neg_binary64`
14×	`associate--r+_binary64`
12×	`distribute-frac-neg_binary64` `associate-+r-_binary64`
10×	`sub0-neg_binary64` `associate-*r/_binary64`
8×	`associate--l-_binary64`
6×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
4×	`unswap-sqr_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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	54	172
1	169	172
2	504	148
3	1846	148
4	4482	148
5	5367	148
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 30 to 25 computations (16.7% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
10.0ms	138×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-rgt-neg-in_binary64`
464×	`div-sub_binary64`
442×	`neg-mul-1_binary64`
380×	`associate-l_binary64`
365×	`associate-r_binary64`
208×	`associate-/r*_binary64`
147×	`sub-neg_binary64`
145×	`distribute-neg-frac_binary64` `associate-/l*_binary64`
144×	`distribute-rgt-neg-out_binary64`
143×	`cancel-sign-sub-inv_binary64`
128×	`distribute-lft-neg-in_binary64`
127×	`distribute-lft-neg-out_binary64`
114×	`associate-/r/_binary64`
110×	`*-commutative_binary64`
109×	`distribute-neg-in_binary64`
103×	`distribute-rgt-in_binary64`
100×	`distribute-lft-in_binary64`
91×	`neg-sub0_binary64`
78×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
49×	`unsub-neg_binary64`
32×	`associate-*l/_binary64`
24×	`div0_binary64` `cancel-sign-sub_binary64` `+-commutative_binary64`
21×	`associate-+l-_binary64`
18×	`remove-double-neg_binary64` `associate-+r+_binary64`
15×	`associate-+l+_binary64`
14×	`times-frac_binary64` `associate--l+_binary64`
11×	`associate--r+_binary64`
10×	`sub0-neg_binary64` `associate-+r-_binary64`
8×	`associate--r-_binary64`
7×	`associate--l-_binary64`
6×	`associate-*r/_binary64`
3×	`+-rgt-identity_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_binary64` `unswap-sqr_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` `*-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` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	59	43
2	163	37
3	598	37
4	2634	37
5	4741	37
6	4999	37

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

8.6b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
5.8b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
11.1b	(.f64 r (.f64 w w))

rewrite408.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

109×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64`
18×	`difference-of-squares_binary64`
17×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
11×	`pow1_binary64` `associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64` `associate-/l*_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-l/_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

25.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
7.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 5799 to 3251 computations (43.9% saved)

series253.0ms (2%)

Error

8.1b

Counts

4 → 54

Calls

4 calls:

72.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
61.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
51.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
30.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3150 to 2576 computations (18.2% saved)

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-r_binary64`
283×	`associate-l_binary64`
211×	`*-commutative_binary64`
187×	`associate-/l*_binary64`
176×	`associate-/r/_binary64`
158×	`associate-*r/_binary64`
151×	`div-sub_binary64`
137×	`cancel-sign-sub-inv_binary64`
130×	`associate-/r*_binary64`
129×	`distribute-rgt-in_binary64`
127×	`times-frac_binary64`
126×	`exp-prod_binary64`
125×	`associate-*l/_binary64`
123×	`associate-/l/_binary64`
118×	`distribute-lft-in_binary64`
117×	`log-prod_binary64`
102×	`sub-neg_binary64`
94×	`unswap-sqr_binary64`
89×	`log-div_binary64`
69×	`+-commutative_binary64`
67×	`distribute-neg-frac_binary64`
65×	`*-rgt-identity_binary64`
55×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
49×	`*-lft-identity_binary64`
39×	`cube-prod_binary64`
38×	`sqr-pow_binary64`
36×	`unpow3_binary64` `swap-sqr_binary64` `associate-+r+_binary64`
31×	`associate-+l+_binary64`
28×	`/-rgt-identity_binary64`
27×	`unsub-neg_binary64`
25×	`cube-div_binary64`
24×	`distribute-neg-in_binary64`
21×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
20×	`exp-diff_binary64` `distribute-lft-out_binary64`
16×	`distribute-lft-neg-in_binary64`
14×	`distribute-rgt-out_binary64`
12×	`log-rec_binary64`
9×	`exp-sum_binary64`
7×	`cube-unmult_binary64` `associate--r-_binary64`
6×	`pow-plus_binary64`
5×	`log-pow_binary64` `remove-double-div_binary64` `associate-+r-_binary64`
4×	`unpow1/2_binary64` `mul-1-neg_binary64` `pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64`
2×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_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` `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-neg_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

231 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	5825
1	831	5134
2	3706	5134
3	4737	5104
4	4942	5104

prune265.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	203	7	210
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	204	8	212

Error

2.0b

Counts

212 → 8

Compiler

Compiled 4754 to 2614 computations (45% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2 (*.f64 r r))
0.9b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
3.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
5.8b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite462.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

112×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
45×	`add-cube-cbrt_binary64`
35×	`associate-r_binary64`
19×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`difference-of-squares_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 179

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
11.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
9.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 5914 to 3364 computations (43.1% saved)

series239.0ms (1.9%)

Error

2.0b

Counts

4 → 51

Calls

4 calls:

72.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
60.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
51.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
10.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3025 to 2468 computations (18.4% saved)

simplify226.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

347×	`associate-r_binary64`
343×	`associate-l_binary64`
221×	`associate-/l*_binary64`
192×	`*-commutative_binary64`
190×	`associate-/r/_binary64`
174×	`times-frac_binary64`
167×	`cancel-sign-sub-inv_binary64`
161×	`associate-/r*_binary64`
141×	`associate-*r/_binary64`
136×	`div-sub_binary64`
127×	`associate-*l/_binary64`
126×	`distribute-rgt-in_binary64`
116×	`distribute-lft-in_binary64`
114×	`log-prod_binary64`
111×	`associate-/l/_binary64`
108×	`sub-neg_binary64`
93×	`log-div_binary64` `unswap-sqr_binary64`
72×	`+-commutative_binary64`
65×	`*-rgt-identity_binary64`
54×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
48×	`*-lft-identity_binary64`
44×	`exp-prod_binary64`
39×	`cube-prod_binary64`
35×	`sqr-pow_binary64` `associate-+r+_binary64`
34×	`unpow3_binary64`
32×	`swap-sqr_binary64` `associate-+l+_binary64`
25×	`cube-div_binary64`
24×	`unsub-neg_binary64`
23×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
22×	`/-rgt-identity_binary64`
21×	`associate--r+_binary64`
20×	`distribute-lft-out_binary64`
18×	`distribute-lft-neg-in_binary64`
14×	`distribute-rgt-out_binary64`
10×	`log-rec_binary64` `distribute-neg-frac_binary64`
9×	`exp-sum_binary64` `cube-unmult_binary64`
7×	`log-pow_binary64` `associate--r-_binary64`
5×	`exp-diff_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64`
2×	`cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `div0_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` `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-neg_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` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

230 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	5926
1	920	5220
2	3862	5211
3	4848	5211
4	4994	5211
5	4947	5211

prune240.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	187	9	196
Fresh	5	1	6
Picked	1	0	1
Done	1	0	1
Total	194	10	204

Error

0.1b

Counts

204 → 10

Compiler

Compiled 4591 to 2545 computations (44.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 v))
0.3b	(/.f64 2 (*.f64 r r))
1.9b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.2b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite619.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

205×	`times-frac_binary64`
146×	`add-sqr-sqrt_binary64`
144×	`*-un-lft-identity_binary64`
105×	`add-cube-cbrt_binary64`
78×	`cbrt-prod_binary64`
32×	`add-exp-log_binary64` `associate-/r*_binary64`
27×	`add-cbrt-cube_binary64`
26×	`difference-of-squares_binary64`
14×	`cbrt-div_binary64`
13×	`associate-r_binary64` `distribute-lft-out--_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
9×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
7×	`div-inv_binary64`
6×	`pow1_binary64` `frac-times_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `pow1/3_binary64`

Counts

4 → 220

Calls

4 calls:

20.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(/.f64 2 (*.f64 r r))
3.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 9869 to 6488 computations (34.3% saved)

series277.0ms (2.2%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

113.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
78.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
17.0ms	(cbrt.f64 (-.f64 1 v))
10.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3237 to 2490 computations (23.1% saved)

simplify310.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

312×	`associate-r_binary64`
300×	`*-commutative_binary64`
282×	`associate-l_binary64`
263×	`associate-*l/_binary64`
256×	`associate-/r/_binary64`
218×	`times-frac_binary64`
207×	`associate-/l/_binary64` `associate-*r/_binary64`
188×	`associate-/l*_binary64`
169×	`cancel-sign-sub-inv_binary64`
144×	`associate-/r*_binary64`
90×	`sub-neg_binary64`
86×	`exp-prod_binary64`
82×	`log-prod_binary64`
71×	`cube-prod_binary64` `*-rgt-identity_binary64`
63×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
55×	`unswap-sqr_binary64`
53×	`log-div_binary64`
46×	`neg-sub0_binary64`
45×	`exp-sum_binary64` `neg-mul-1_binary64`
41×	`cube-div_binary64`
36×	`div-sub_binary64`
31×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
30×	`unpow3_binary64`
27×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
25×	`cube-mult_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`swap-sqr_binary64`
21×	`exp-diff_binary64`
20×	`distribute-neg-in_binary64` `associate-+r+_binary64`
18×	`associate-+l+_binary64`
14×	`unsub-neg_binary64` `/-rgt-identity_binary64`
13×	`unpow1/3_binary64` `cube-unmult_binary64`
12×	`log-pow_binary64` `associate--r+_binary64`
8×	`distribute-neg-frac_binary64`
7×	`exp-neg_binary64`
6×	`pow-plus_binary64` `pow-sqr_binary64` `associate--l+_binary64` `associate-+r-_binary64`
5×	`exp-to-pow_binary64`
4×	`unpow1/2_binary64` `rem-exp-log_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
3×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64` `associate-+l-_binary64`
2×	`div-exp_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `pow-base-0_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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

255 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	501	6750
1	1171	6147
2	4103	6113
3	4768	6087
4	4949	6087
5	4991	6087
6	4934	6087

prune289.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	160	10	170

Error

0.1b

Counts

170 → 10

Compiler

Compiled 5135 to 3358 computations (34.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2 (*.f64 r r))
0.3b	(.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
1.9b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))

rewrite1.1s (8.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

384×	`times-frac_binary64`
260×	`add-sqr-sqrt_binary64`
247×	`*-un-lft-identity_binary64`
184×	`add-cube-cbrt_binary64`
169×	`add-exp-log_binary64`
134×	`add-cbrt-cube_binary64`
127×	`cbrt-prod_binary64`
99×	`associate-r_binary64`
71×	`prod-exp_binary64` `cbrt-unprod_binary64`
59×	`div-exp_binary64` `cbrt-undiv_binary64`
42×	`difference-of-squares_binary64`
32×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
16×	`associate-l_binary64`
14×	`frac-times_binary64`
12×	`cbrt-div_binary64`
11×	`pow1_binary64` `div-inv_binary64`
10×	`associate-/r/_binary64`
9×	`associate-*r/_binary64`
8×	`associate-*l/_binary64`
6×	`associate-/l*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64`
2×	`*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 377

Calls

4 calls:

57.0ms	(.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
37.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
8.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 17974 to 11587 computations (35.5% saved)

series273.0ms (2.2%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

75.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
73.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
60.0ms	(.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
10.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3572 to 2843 computations (20.4% saved)

simplify255.0ms (2%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-*l/_binary64`
443×	`associate-/l*_binary64`
369×	`associate-/r/_binary64`
363×	`associate-/l/_binary64`
305×	`times-frac_binary64`
236×	`associate-/r*_binary64`
192×	`*-commutative_binary64`
113×	`associate-*r/_binary64`
88×	`distribute-rgt-in_binary64`
78×	`associate-r_binary64`
72×	`distribute-lft-in_binary64`
48×	`associate-l_binary64`
40×	`sub-neg_binary64`
39×	`+-commutative_binary64`
29×	`associate-+r+_binary64`
26×	`cancel-sign-sub-inv_binary64`
25×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`
21×	`distribute-neg-in_binary64`
20×	`distribute-lft-out_binary64`
19×	`distribute-rgt-neg-in_binary64`
18×	`sqr-pow_binary64`
15×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
14×	`distribute-rgt-out_binary64`
13×	`log-div_binary64` `log-prod_binary64`
12×	`associate-+l-_binary64`
11×	`exp-prod_binary64` `cube-unmult_binary64` `unswap-sqr_binary64`
10×	`/-rgt-identity_binary64`
6×	`div-sub_binary64` `distribute-neg-frac_binary64`
5×	`exp-sum_binary64`
4×	`cube-prod_binary64` `unsub-neg_binary64` `associate--r+_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`unpow1/3_binary64` `unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
1×	`log-rec_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_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` `unpow1/2_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-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` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l+_binary64`

Counts

428 → 318

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	16592
1	1778	12903
2	5431	12903

prune491.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	318	10	328

Error

0.1b

Counts

328 → 10

Compiler

Compiled 9072 to 5658 computations (37.6% saved)

regimes3.7s (29.4%)

Accuracy

Total 0.3b remaining (75.3%)

Threshold costs 0.3b (75.3%)

Compiler

Compiled 72858 to 56160 computations (22.9% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`distribute-rgt-neg-in_binary64`
16×	`*-commutative_binary64`
15×	`+-commutative_binary64`
14×	`sub-neg_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
12×	`cancel-sign-sub-inv_binary64`
8×	`distribute-neg-in_binary64`
4×	`distribute-lft-neg-out_binary64`
2×	`remove-double-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	58
1	43	58
2	68	58
3	94	58
4	131	58
5	150	58
6	158	58
7	160	58
8	153	58

end2.0ms (0%)

Compiler: Compiled 38 to 30 computations (21.1% saved)

sample1.6s (12.9%)

Algorithm

1×

intervals

Results

558.0ms	8000×	body	128	valid
318.0ms	4696×	body	128	invalid

Compiler

Compiled 383 to 313 computations (18.3% saved)

Details

analyze1.2s (9.2%)

sample44.0ms (0.4%)

simplify57.0ms (0.4%)

prune8.0ms (0.1%)

localize18.0ms (0.1%)

rewrite408.0ms (3.2%)

series253.0ms (2%)

simplify188.0ms (1.5%)

prune265.0ms (2.1%)

localize18.0ms (0.1%)

rewrite462.0ms (3.7%)

series239.0ms (1.9%)

simplify226.0ms (1.8%)

prune240.0ms (1.9%)

localize21.0ms (0.2%)

rewrite619.0ms (4.9%)

series277.0ms (2.2%)

simplify310.0ms (2.5%)

prune289.0ms (2.3%)

localize21.0ms (0.2%)

rewrite1.1s (8.9%)

series273.0ms (2.2%)

simplify255.0ms (2%)

prune491.0ms (3.9%)

regimes3.7s (29.4%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample1.6s (12.9%)

Profiling