Details

analyze335.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

729×	`div-sub_binary64`
432×	`cancel-sign-sub-inv_binary64`
372×	`unsub-neg_binary64`
310×	`associate-l_binary64`
297×	`associate-r_binary64`
290×	`unswap-sqr_binary64`
213×	`sub-neg_binary64`
192×	`neg-mul-1_binary64`
158×	`distribute-rgt-in_binary64`
157×	`distribute-lft-in_binary64`
118×	`*-commutative_binary64`
105×	`neg-sub0_binary64`
96×	`associate-+l+_binary64`
93×	`associate-*l/_binary64`
91×	`associate-+r+_binary64`
74×	`times-frac_binary64`
72×	`associate-/l*_binary64`
65×	`*-lft-identity_binary64`
64×	`*-rgt-identity_binary64`
63×	`associate-*r/_binary64`
61×	`associate-/r*_binary64`
56×	`+-commutative_binary64`
49×	`sqr-pow_binary64`
46×	`associate-+l-_binary64`
40×	`swap-sqr_binary64`
35×	`pow-plus_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
30×	`associate-+r-_binary64`
28×	`difference-of-squares_binary64`
24×	`cube-prod_binary64` `associate--r+_binary64`
21×	`cube-unmult_binary64`
18×	`distribute-rgt-neg-in_binary64`
17×	`unpow3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate--r-_binary64` `associate--l+_binary64`
12×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
11×	`sqr-neg_binary64` `+-rgt-identity_binary64`
10×	`rem-sqrt-square_binary64` `+-lft-identity_binary64`
9×	`/-rgt-identity_binary64`
8×	`--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `associate--l-_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
6×	`div0_binary64`
4×	`remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	144
1	129	132
2	296	132
3	938	132
4	2843	132
5	4501	132
6	4959	132
7	4999	132
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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 24 to 21 computations (12.5% saved)

sample76.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	181×	body	128	valid
17.0ms	23×	body	4096	valid
15.0ms	26×	body	2048	valid
6.0ms	14×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	4×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

763×	`div-sub_binary64`
378×	`cancel-sign-sub-inv_binary64`
353×	`associate-/r/_binary64`
331×	`distribute-rgt-in_binary64`
294×	`associate-/l/_binary64`
282×	`neg-mul-1_binary64`
257×	`neg-sub0_binary64`
255×	`distribute-lft-in_binary64`
231×	`unsub-neg_binary64`
179×	`associate-l_binary64`
163×	`times-frac_binary64`
153×	`distribute-rgt-neg-out_binary64`
148×	`unswap-sqr_binary64`
138×	`associate-r_binary64`
132×	`distribute-lft-neg-out_binary64`
109×	`sub-neg_binary64` `distribute-rgt-out_binary64`
107×	`distribute-rgt-neg-in_binary64`
103×	`associate-/r*_binary64`
98×	`associate-*l/_binary64`
80×	`distribute-lft-neg-in_binary64`
76×	`associate-/l*_binary64`
73×	`distribute-neg-frac_binary64`
71×	`associate-*r/_binary64`
68×	`associate-+r+_binary64`
65×	`distribute-frac-neg_binary64` `associate-+l+_binary64`
59×	`distribute-rgt-out--_binary64`
51×	`*-commutative_binary64`
44×	`distribute-neg-out_binary64`
32×	`+-commutative_binary64`
27×	`sqr-pow_binary64` `associate--r+_binary64`
24×	`pow-plus_binary64` `*-rgt-identity_binary64`
23×	`associate-+l-_binary64`
22×	`*-lft-identity_binary64`
21×	`distribute-lft-out_binary64`
19×	`unpow3_binary64` `cube-prod_binary64` `associate--r-_binary64`
18×	`cube-div_binary64` `sub0-neg_binary64`
16×	`swap-sqr_binary64` `cancel-sign-sub_binary64`
13×	`mul0-rgt_binary64`
12×	`+-rgt-identity_binary64` `mul0-lft_binary64` `associate--l+_binary64`
11×	`distribute-neg-in_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `associate-+r-_binary64`
8×	`associate--l-_binary64`
7×	`rem-sqrt-square_binary64`
6×	`remove-double-neg_binary64`
5×	`sqr-neg_binary64` `/-rgt-identity_binary64` `div0_binary64`
4×	`unpow2_binary64`
3×	`--rgt-identity_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_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` `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` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	44	33
2	92	33
3	250	33
4	624	33
5	1837	33
6	4068	33
7	4861	33
8	4970	33

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.1b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
0.0b	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B))
1.0b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
36.2b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite195.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

28.0b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
7×	`pow1_binary64` `sqrt-prod_binary64`
6×	`sqrt-div_binary64`
4×	`frac-sub_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

15.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
13.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B))
8.0ms	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

Compiler

Compiled 3036 to 1492 computations (50.9% saved)

series423.0ms (4.4%)

Error

6.1b

Counts

4 → 74

Calls

4 calls:

115.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
106.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
78.0ms	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
36.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B))

Compiler

Compiled 5611 to 4382 computations (21.9% saved)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

521×	`cancel-sign-sub-inv_binary64`
360×	`sub-neg_binary64`
229×	`distribute-rgt-neg-in_binary64`
195×	`distribute-neg-in_binary64`
167×	`+-commutative_binary64`
163×	`*-commutative_binary64`
128×	`neg-sub0_binary64`
126×	`neg-mul-1_binary64`
121×	`times-frac_binary64`
109×	`associate-r_binary64`
104×	`associate-/l*_binary64`
99×	`associate--l+_binary64`
96×	`associate--r+_binary64`
91×	`associate-l_binary64`
88×	`unswap-sqr_binary64`
85×	`associate-/r*_binary64`
84×	`associate-+l+_binary64`
83×	`unsub-neg_binary64`
81×	`distribute-neg-frac_binary64`
67×	`associate-*r/_binary64`
62×	`associate-+r+_binary64`
52×	`sqr-pow_binary64` `associate-*l/_binary64`
49×	`distribute-rgt-in_binary64`
48×	`distribute-lft-in_binary64`
46×	`distribute-lft-neg-out_binary64`
34×	`distribute-lft-neg-in_binary64`
27×	`exp-prod_binary64`
23×	`difference-of-squares_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`div-sub_binary64` `associate-/l/_binary64`
12×	`cube-prod_binary64` `associate-/r/_binary64`
11×	`unpow3_binary64`
10×	`cube-mult_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
9×	`cube-unmult_binary64`
7×	`exp-sum_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
6×	`exp-diff_binary64` `swap-sqr_binary64`
5×	`log-prod_binary64`
4×	`log-div_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
3×	`pow-plus_binary64` `div-exp_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
2×	`rem-3cbrt-lft_binary64` `sub0-neg_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

159 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	5560
1	1021	5228
2	3207	5219
3	4994	5219

prune145.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	128	11	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	11	140

Error

6.1b

Counts

140 → 11

Compiler

Compiled 3872 to 1876 computations (51.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))
0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
0.0b	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)
0.0b	(/.f64 (+.f64 B (-.f64 C A)) B)

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

50×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
8×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`pow1_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`associate-+r-_binary64` `div-sub_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

8.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
7.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
5.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))
3.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

Compiler

Compiled 2086 to 543 computations (74% saved)

series128.0ms (1.3%)

Error

6.1b

Counts

4 → 45

Calls

4 calls:

38.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
37.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
27.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)
17.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))

Compiler

Compiled 1058 to 968 computations (8.5% saved)

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-+l+_binary64`
384×	`associate-/r*_binary64`
300×	`div-sub_binary64`
297×	`associate-/r/_binary64`
283×	`distribute-rgt-in_binary64`
269×	`distribute-lft-in_binary64`
202×	`associate-*l/_binary64`
194×	`associate-*r/_binary64`
174×	`associate-/l*_binary64`
151×	`associate-l_binary64`
127×	`*-commutative_binary64`
124×	`sub-neg_binary64`
123×	`associate-/l/_binary64`
104×	`associate-r_binary64`
81×	`distribute-rgt-neg-out_binary64`
79×	`times-frac_binary64` `unsub-neg_binary64`
73×	`distribute-lft-neg-out_binary64`
72×	`associate-+l-_binary64`
65×	`associate--r+_binary64`
57×	`cancel-sign-sub-inv_binary64`
54×	`associate--l+_binary64`
43×	`associate-+r-_binary64` `associate-+r+_binary64`
40×	`neg-sub0_binary64`
36×	`associate--l-_binary64`
34×	`+-commutative_binary64`
31×	`associate--r-_binary64`
30×	`neg-mul-1_binary64`
29×	`distribute-frac-neg_binary64`
26×	`distribute-neg-in_binary64`
25×	`distribute-rgt-out_binary64`
23×	`sqr-pow_binary64`
19×	`/-rgt-identity_binary64`
16×	`log-div_binary64`
15×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
13×	`*-rgt-identity_binary64` `+-rgt-identity_binary64`
11×	`*-lft-identity_binary64`
10×	`cube-div_binary64`
9×	`log-prod_binary64`
8×	`cube-unmult_binary64` `cube-prod_binary64` `sub0-neg_binary64` `swap-sqr_binary64`
7×	`distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
6×	`exp-prod_binary64` `distribute-neg-out_binary64`
5×	`exp-diff_binary64` `mul-1-neg_binary64`
3×	`unpow3_binary64` `exp-sum_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
2×	`cube-mult_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `unswap-sqr_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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

149 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3003
1	334	2726
2	892	2724
3	2488	2724
4	5203	2724

prune85.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Error

6.1b

Counts

142 → 12

Compiler

Compiled 1889 to 948 computations (49.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 C A) B)
0.0b	(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180))
0.0b	(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)
1.0b	(.f64 (sqrt.f64 180) (.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180)))

rewrite148.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

51×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-l_binary64`
11×	`pow1_binary64`
8×	`sqrt-prod_binary64` `associate-/l*_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
6×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`div-inv_binary64`
2×	`associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 126

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 180) (.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180)))
12.0ms	(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180))
7.0ms	(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)
6.0ms	(/.f64 (-.f64 C A) B)

Compiler

Compiled 2962 to 1791 computations (39.5% saved)

series185.0ms (1.9%)

Error

6.1b

Counts

4 → 42

Calls

4 calls:

57.0ms	(.f64 (sqrt.f64 180) (.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180)))
49.0ms	(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64) (sqrt.f64 180))
36.0ms	(/.f64 (-.f64 C A) B)
34.0ms	(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)

Compiler

Compiled 1495 to 1397 computations (6.6% saved)

simplify222.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-l_binary64`
404×	`associate-*l/_binary64`
349×	`distribute-rgt-in_binary64`
346×	`associate-r_binary64`
338×	`distribute-lft-in_binary64`
336×	`associate-*r/_binary64`
251×	`associate-/l*_binary64`
186×	`div-sub_binary64`
152×	`*-commutative_binary64`
107×	`associate-/l/_binary64` `associate-/r*_binary64`
105×	`log-prod_binary64`
104×	`times-frac_binary64`
100×	`distribute-rgt-neg-out_binary64`
95×	`log-div_binary64`
94×	`sub-neg_binary64`
93×	`distribute-lft-neg-out_binary64`
81×	`cube-div_binary64`
64×	`exp-prod_binary64`
63×	`distribute-frac-neg_binary64`
60×	`associate-/r/_binary64`
51×	`sqr-pow_binary64`
44×	`cube-prod_binary64`
43×	`neg-sub0_binary64`
42×	`*-rgt-identity_binary64`
35×	`+-commutative_binary64`
32×	`neg-mul-1_binary64` `*-lft-identity_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
31×	`exp-sum_binary64`
26×	`unpow3_binary64` `cancel-sign-sub-inv_binary64`
24×	`/-rgt-identity_binary64`
23×	`cube-mult_binary64` `unsub-neg_binary64`
21×	`associate-+r+_binary64`
20×	`exp-diff_binary64` `distribute-neg-frac_binary64`
18×	`associate-+l-_binary64`
16×	`log-rec_binary64` `cube-unmult_binary64` `associate-+l+_binary64`
15×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `associate-+r-_binary64`
13×	`distribute-lft-neg-in_binary64`
8×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
7×	`pow-sqr_binary64` `associate--l-_binary64`
6×	`log-pow_binary64` `mul-1-neg_binary64`
4×	`unpow1/2_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `associate--r+_binary64`
3×	`exp-neg_binary64` `remove-double-div_binary64` `associate--l+_binary64`
2×	`cube-neg_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `div0_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` `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` `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` `+-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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

168 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	3863
1	439	3279
2	1040	3279
3	3020	3271
4	4696	3271
5	4992	3271
6	4998	3271
7	4947	3271

prune80.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Error

6.1b

Counts

139 → 12

Compiler

Compiled 1969 to 1238 computations (37.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
36.2b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
36.2b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
36.2b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite189.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`sqrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
9×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
7×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-sub_binary64` `associate--l+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`associate--l-_binary64`

Counts

4 → 76

Calls

4 calls:

17.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
8.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
8.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
8.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 5171 to 2518 computations (51.3% saved)

series631.0ms (6.6%)

Error

6.1b

Counts

4 → 100

Calls

4 calls:

124.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
114.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
112.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
111.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 16183 to 10172 computations (37.1% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

383×	`distribute-rgt-in_binary64`
356×	`cancel-sign-sub-inv_binary64`
315×	`distribute-lft-in_binary64`
277×	`sub-neg_binary64`
180×	`distribute-rgt-neg-in_binary64`
153×	`distribute-lft-neg-in_binary64`
152×	`distribute-neg-in_binary64`
131×	`+-commutative_binary64`
118×	`*-commutative_binary64`
107×	`times-frac_binary64`
104×	`neg-mul-1_binary64` `neg-sub0_binary64`
95×	`associate-r_binary64`
88×	`unswap-sqr_binary64`
73×	`associate-/r*_binary64` `associate--r+_binary64`
68×	`distribute-neg-frac_binary64`
67×	`associate-/l*_binary64`
65×	`unsub-neg_binary64`
63×	`associate-l_binary64` `associate--l+_binary64` `associate-+l+_binary64`
51×	`associate-+r+_binary64`
44×	`sqr-pow_binary64`
40×	`distribute-lft-neg-out_binary64`
37×	`distribute-rgt-out_binary64`
28×	`distribute-lft-out_binary64`
25×	`exp-prod_binary64`
24×	`associate-*r/_binary64`
23×	`difference-of-squares_binary64` `associate-*l/_binary64`
16×	`distribute-rgt-neg-out_binary64`
11×	`cube-prod_binary64`
10×	`unpow3_binary64`
9×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
8×	`associate-/r/_binary64`
7×	`exp-sum_binary64` `+-rgt-identity_binary64`
6×	`exp-diff_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
5×	`cube-unmult_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
3×	`log-prod_binary64` `pow-plus_binary64` `div-exp_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`rem-3cbrt-lft_binary64` `div-sub_binary64` `sub0-neg_binary64` `associate--l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

176 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4613
1	768	4511
2	2496	4274
3	4978	4274

prune185.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	118	11	129

Error

6.1b

Counts

129 → 11

Compiler

Compiled 7536 to 3566 computations (52.7% saved)

regimes3.1s (32.8%)

Accuracy

Total 11.7b remaining (64%)

Threshold costs 0b (0%)

Compiler

Compiled 44019 to 30292 computations (31.2% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
9×	`*-commutative_binary64`
7×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`
3×	`distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-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` `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` `unsub-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	126
1	64	124
2	79	124
3	90	124
4	96	124
5	92	124

end2.0ms (0%)

Compiler: Compiled 80 to 54 computations (32.5% saved)

sample2.7s (28.6%)

Algorithm

1×

intervals

Results

681.0ms	844×	body	4096	valid
544.0ms	5446×	body	128	valid
519.0ms	867×	body	2048	valid
222.0ms	502×	body	1024	valid
71.0ms	227×	body	512	valid
23.0ms	114×	body	256	valid

Compiler

Compiled 325 to 267 computations (17.8% saved)

Details

analyze335.0ms (3.5%)

sample76.0ms (0.8%)

simplify75.0ms (0.8%)

prune4.0ms (0%)

localize19.0ms (0.2%)

rewrite195.0ms (2%)

series423.0ms (4.4%)

simplify138.0ms (1.5%)

prune145.0ms (1.5%)

localize9.0ms (0.1%)

rewrite106.0ms (1.1%)

series128.0ms (1.3%)

simplify113.0ms (1.2%)

prune85.0ms (0.9%)

localize13.0ms (0.1%)

rewrite148.0ms (1.6%)

series185.0ms (1.9%)

simplify222.0ms (2.3%)

prune80.0ms (0.8%)

localize29.0ms (0.3%)

rewrite189.0ms (2%)

series631.0ms (6.6%)

simplify125.0ms (1.3%)

prune185.0ms (1.9%)

regimes3.1s (32.8%)

bsearch10.0ms (0.1%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample2.7s (28.6%)

Profiling