Details

analyze407.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64`
690×	`sub-neg_binary64`
581×	`neg-mul-1_binary64`
491×	`neg-sub0_binary64`
476×	`associate-/r*_binary64`
402×	`distribute-neg-frac_binary64`
321×	`distribute-rgt-neg-in_binary64`
280×	`distribute-rgt-neg-out_binary64`
252×	`distribute-lft-neg-out_binary64`
251×	`distribute-lft-neg-in_binary64`
232×	`+-commutative_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
217×	`associate-*l/_binary64`
201×	`associate-+l-_binary64`
198×	`remove-double-neg_binary64`
195×	`distribute-rgt-in_binary64`
184×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
141×	`unsub-neg_binary64`
131×	`associate-/l/_binary64`
119×	`associate-*r/_binary64`
117×	`associate--r+_binary64`
106×	`distribute-lft-in_binary64`
93×	`distribute-frac-neg_binary64`
88×	`sub0-neg_binary64`
76×	`cancel-sign-sub_binary64`
72×	`*-lft-identity_binary64`
71×	`associate--l-_binary64`
68×	`distribute-neg-in_binary64`
63×	`*-commutative_binary64`
61×	`+-lft-identity_binary64`
57×	`associate--r-_binary64`
54×	`/-rgt-identity_binary64`
53×	`+-rgt-identity_binary64`
45×	`associate-r_binary64`
41×	`associate-+r-_binary64`
40×	`associate-+l+_binary64`
36×	`div0_binary64`
26×	`associate-l_binary64`
24×	`--rgt-identity_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
17×	`associate-+r+_binary64`
6×	`*-rgt-identity_binary64`
3×	`sqr-neg_binary64` `swap-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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample36.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
8.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify342.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64`
1150×	`div-sub_binary64`
772×	`distribute-rgt-in_binary64`
702×	`distribute-lft-in_binary64`
619×	`times-frac_binary64`
576×	`associate-/r*_binary64`
479×	`associate-/r/_binary64`
467×	`cancel-sign-sub-inv_binary64`
429×	`*-commutative_binary64`
426×	`sub-neg_binary64`
423×	`unsub-neg_binary64`
407×	`associate-/l/_binary64`
225×	`distribute-rgt-neg-in_binary64`
208×	`distribute-rgt-out--_binary64`
201×	`neg-mul-1_binary64`
197×	`distribute-lft-neg-in_binary64`
192×	`distribute-neg-frac_binary64`
188×	`associate-*l/_binary64`
163×	`neg-sub0_binary64`
156×	`distribute-rgt-out_binary64`
136×	`distribute-rgt-neg-out_binary64`
121×	`associate--r+_binary64`
112×	`+-commutative_binary64`
99×	`distribute-lft-neg-out_binary64`
80×	`distribute-lft-out_binary64`
77×	`associate--r-_binary64`
73×	`distribute-frac-neg_binary64`
72×	`distribute-lft-out--_binary64`
68×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
66×	`associate-*r/_binary64`
62×	`mul0-rgt_binary64`
60×	`associate-r_binary64`
59×	`associate--l-_binary64`
55×	`div0_binary64`
54×	`mul0-lft_binary64`
51×	`associate-l_binary64`
33×	`remove-double-neg_binary64`
32×	`associate-+r-_binary64`
30×	`+-lft-identity_binary64`
28×	`/-rgt-identity_binary64` `associate--l+_binary64`
27×	`remove-double-div_binary64`
22×	`distribute-neg-in_binary64`
19×	`sub0-neg_binary64` `--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
14×	`mul-1-neg_binary64` `associate-+l+_binary64`
13×	`associate-+l-_binary64`
7×	`associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
3×	`swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune3.0ms (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

29.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
29.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite115.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `sqrt-prod_binary64` `times-frac_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-lft-out--_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `sqrt-div_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 74

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1900 to 1105 computations (41.8% saved)

series215.0ms (3.3%)

Error

0.8b

Counts

4 → 72

Calls

4 calls:

62.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
50.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
40.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
38.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2358 to 1932 computations (18.1% saved)

simplify133.0ms (2%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64`
230×	`distribute-rgt-in_binary64`
199×	`distribute-lft-in_binary64`
182×	`cancel-sign-sub-inv_binary64`
181×	`div-sub_binary64`
165×	`distribute-rgt-neg-in_binary64`
151×	`distribute-lft-neg-in_binary64`
127×	`exp-prod_binary64`
119×	`associate-r_binary64`
111×	`associate-l_binary64`
98×	`sub-neg_binary64`
92×	`*-commutative_binary64`
91×	`unswap-sqr_binary64`
80×	`associate-/l*_binary64`
71×	`neg-sub0_binary64`
69×	`neg-mul-1_binary64`
65×	`distribute-neg-frac_binary64`
63×	`distribute-neg-in_binary64`
58×	`associate-/r*_binary64`
52×	`sqr-pow_binary64`
45×	`+-commutative_binary64`
44×	`cube-prod_binary64`
31×	`distribute-rgt-out_binary64`
30×	`associate-*l/_binary64`
27×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `associate-*r/_binary64`
25×	`exp-sum_binary64`
23×	`associate--r+_binary64`
22×	`associate-+r+_binary64`
20×	`associate-+l+_binary64`
17×	`unpow3_binary64`
16×	`exp-diff_binary64` `distribute-lft-out_binary64`
15×	`swap-sqr_binary64`
14×	`associate-/r/_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`cube-mult_binary64`
10×	`cube-unmult_binary64`
9×	`associate-+r-_binary64`
8×	`pow-plus_binary64` `difference-of-squares_binary64`
7×	`+-rgt-identity_binary64`
6×	`rem-sqrt-square_binary64`
5×	`log-div_binary64` `unpow2_binary64` `mul-1-neg_binary64`
4×	`log-prod_binary64` `exp-sqrt_binary64` `pow-sqr_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `cube-div_binary64` `associate--l+_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_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-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-cbrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

146 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3603
1	550	3323
2	1858	3272
3	4753	3272
4	5207	3272

prune74.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	110	12	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	12	123

Error

0.6b

Counts

123 → 12

Compiler

Compiled 2020 to 1145 computations (43.3% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite365.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

156×	`add-exp-log_binary64`
72×	`prod-exp_binary64`
60×	`div-exp_binary64`
46×	`pow-to-exp_binary64` `pow-exp_binary64`
32×	`add-cbrt-cube_binary64`
26×	`times-frac_binary64` `associate-/r*_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`unpow-prod-down_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`associate-r_binary64`
10×	`cbrt-unprod_binary64` `cube-prod_binary64`
8×	`cbrt-undiv_binary64` `sqr-pow_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `unswap-sqr_binary64`
3×	`frac-2neg_binary64` `unpow3_binary64` `cube-mult_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 186

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 6718 to 4019 computations (40.2% saved)

series234.0ms (3.6%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

73.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
66.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
58.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
31.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2829 to 2178 computations (23% saved)

simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

545×	`unswap-sqr_binary64`
366×	`associate-/l*_binary64`
360×	`times-frac_binary64`
271×	`associate-l_binary64`
235×	`associate-r_binary64`
226×	`associate-/r*_binary64`
158×	`log-prod_binary64`
106×	`associate-/l/_binary64`
101×	`associate-*l/_binary64`
94×	`log-div_binary64`
93×	`cube-prod_binary64`
83×	`sqr-pow_binary64`
79×	`*-commutative_binary64`
65×	`associate-*r/_binary64`
58×	`sub-neg_binary64` `associate-/r/_binary64`
57×	`cube-div_binary64`
52×	`*-rgt-identity_binary64`
45×	`exp-prod_binary64`
44×	`log-pow_binary64`
32×	`distribute-rgt-neg-in_binary64`
29×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-neg-in_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate--l+_binary64`
25×	`cube-unmult_binary64`
20×	`/-rgt-identity_binary64` `+-commutative_binary64`
17×	`pow-plus_binary64`
16×	`pow-sqr_binary64` `swap-sqr_binary64`
15×	`log-rec_binary64` `*-lft-identity_binary64`
12×	`rem-sqrt-square_binary64`
10×	`unpow3_binary64` `distribute-neg-frac_binary64`
9×	`cube-mult_binary64` `associate-+l+_binary64`
5×	`unsub-neg_binary64`
4×	`div-sub_binary64`
3×	`distribute-lft-neg-out_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `count-2_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

219 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3885
1	616	3482
2	3320	3467
3	4972	3467
4	4950	3467

prune101.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	161	12	173

Error

0.6b

Counts

173 → 12

Compiler

Compiled 2346 to 1427 computations (39.2% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite378.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

88×	`add-exp-log_binary64`
68×	`times-frac_binary64`
46×	`pow1_binary64`
42×	`unpow-prod-down_binary64`
39×	`add-cbrt-cube_binary64`
37×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
36×	`prod-exp_binary64`
27×	`div-exp_binary64`
20×	`sqr-pow_binary64`
19×	`associate-/r*_binary64`
18×	`pow-prod-down_binary64`
17×	`pow-exp_binary64` `cbrt-unprod_binary64`
15×	`cube-prod_binary64`
13×	`pow-to-exp_binary64`
11×	`unpow3_binary64` `cube-mult_binary64`
9×	`associate-/l*_binary64`
6×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-plus_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`pow2_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 205

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9437 to 5370 computations (43.1% saved)

series196.0ms (3%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

73.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
61.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
30.0ms	(pow.f64 (*.f64 a c) 3)
28.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3100 to 2320 computations (25.2% saved)

simplify161.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

515×	`unswap-sqr_binary64`
466×	`times-frac_binary64`
437×	`associate-/l*_binary64`
325×	`log-div_binary64`
211×	`associate-/r*_binary64`
172×	`log-prod_binary64`
161×	`associate-r_binary64`
155×	`associate-l_binary64`
128×	`associate-/l/_binary64`
100×	`exp-prod_binary64`
88×	`cube-prod_binary64`
79×	`associate-/r/_binary64`
78×	`sqr-pow_binary64`
53×	`associate-*l/_binary64`
51×	`cube-div_binary64`
39×	`log-pow_binary64`
36×	`associate-*r/_binary64`
34×	`sub-neg_binary64`
32×	`*-commutative_binary64`
27×	`cancel-sign-sub-inv_binary64`
24×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
22×	`distribute-lft-neg-in_binary64`
20×	`cube-unmult_binary64`
18×	`swap-sqr_binary64`
17×	`pow-sqr_binary64`
16×	`*-rgt-identity_binary64`
14×	`log-rec_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64`
12×	`associate--l+_binary64`
10×	`unpow3_binary64`
9×	`associate-+l+_binary64`
8×	`cube-mult_binary64` `/-rgt-identity_binary64`
6×	`+-commutative_binary64`
5×	`distribute-neg-frac_binary64` `associate-+r+_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64`
2×	`unpow2_binary64` `rem-cbrt-cube_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64`
1×	`1-exp_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `div-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `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` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-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` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

235 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	3989
1	442	3477
2	3132	3471
3	4811	3471
4	5132	3471

prune133.0ms (2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	178	13	191

Error

0.6b

Counts

191 → 13

Compiler

Compiled 3787 to 2286 computations (39.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite317.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

97×	`add-exp-log_binary64`
45×	`prod-exp_binary64`
41×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64`
30×	`div-exp_binary64` `*-un-lft-identity_binary64`
29×	`cancel-sign-sub-inv_binary64`
28×	`add-cube-cbrt_binary64`
27×	`add-cbrt-cube_binary64`
19×	`unpow-prod-down_binary64` `associate-/r*_binary64`
18×	`pow-to-exp_binary64` `pow-exp_binary64`
17×	`associate--l+_binary64`
13×	`cube-prod_binary64`
12×	`associate-r_binary64`
9×	`add-log-exp_binary64` `cbrt-unprod_binary64`
7×	`sqr-pow_binary64`
6×	`cbrt-undiv_binary64`
4×	`pow1_binary64` `unpow3_binary64` `cube-mult_binary64` `div-inv_binary64` `unswap-sqr_binary64` `frac-sub_binary64`
3×	`diff-log_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `-commutative_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

4 → 178

Calls

4 calls:

27.0ms	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
9.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 5543 to 2848 computations (48.6% saved)

series226.0ms (3.4%)

Error

0.6b

Counts

4 → 41

Calls

4 calls:

85.0ms	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
60.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
49.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
26.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 1895 to 1511 computations (20.3% saved)

simplify147.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

337×	`times-frac_binary64`
292×	`associate-/l*_binary64`
291×	`associate-l_binary64`
283×	`associate-r_binary64`
225×	`associate-/r*_binary64`
184×	`associate-*l/_binary64`
175×	`*-commutative_binary64`
158×	`exp-prod_binary64`
152×	`associate-*r/_binary64`
125×	`log-prod_binary64`
120×	`cube-prod_binary64`
98×	`associate-/l/_binary64`
85×	`cube-div_binary64`
75×	`log-div_binary64`
73×	`sub-neg_binary64`
66×	`neg-mul-1_binary64`
62×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
48×	`associate-/r/_binary64`
46×	`distribute-lft-neg-out_binary64`
44×	`+-commutative_binary64`
43×	`sqr-pow_binary64`
42×	`distribute-neg-frac_binary64`
40×	`cancel-sign-sub-inv_binary64`
36×	`distribute-lft-neg-in_binary64`
32×	`unswap-sqr_binary64`
24×	`unpow3_binary64`
23×	`distribute-rgt-in_binary64`
21×	`distribute-lft-in_binary64`
18×	`cube-mult_binary64`
17×	`associate--l+_binary64`
16×	`cube-unmult_binary64` `associate-+l+_binary64`
15×	`log-pow_binary64` `pow-plus_binary64`
14×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
13×	`exp-diff_binary64`
11×	`div-sub_binary64` `distribute-neg-in_binary64`
10×	`associate-+r-_binary64`
9×	`unsub-neg_binary64` `associate-+r+_binary64`
7×	`exp-sum_binary64`
6×	`log-rec_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64`
5×	`associate-+l-_binary64`
4×	`rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64`
3×	`div-exp_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`

Counts

219 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	4855
1	904	4464
2	4097	4461
3	4979	4461

prune93.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	10	10
Picked	1	0	1
Done	0	2	2
Total	179	15	194

Error

0.5b

Counts

194 → 15

Compiler

Compiled 2128 to 1084 computations (49.1% saved)

regimes1.0s (15.9%)

Accuracy

Total 5.1b remaining (88.4%)

Threshold costs 0b (0%)

Compiler

Compiled 19990 to 14080 computations (29.6% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
22×	`+-commutative_binary64`
19×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
10×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
6×	`unsub-neg_binary64` `distribute-neg-in_binary64`
4×	`distribute-neg-frac_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` `1-exp_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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	63
1	45	61
2	64	61
3	86	61
4	119	61
5	146	61
6	170	61
7	184	61
8	191	61
9	193	61
10	191	61

end1.0ms (0%)

Compiler: Compiled 41 to 33 computations (19.5% saved)

sample1.6s (24.6%)

Algorithm

1×

intervals

Results

384.0ms	7716×	body	128	valid
260.0ms	8780×	pre	128	true
38.0ms	780×	body	128	nan
30.0ms	284×	body	256	valid

Compiler

Compiled 637 to 468 computations (26.5% saved)

Iter	Nodes	Cost
0	30	63
1	45	61
2	64	61
3	86	61
4	119	61
5	146	61
6	170	61
7	184	61
8	191	61
9	193	61
10	191	61

Iter	Nodes	Cost
0	30	63
1	45	61
2	64	61
3	86	61
4	119	61
5	146	61
6	170	61
7	184	61
8	191	61
9	193	61
10	191	61

Details

analyze407.0ms (6.2%)

sample36.0ms (0.5%)

simplify342.0ms (5.2%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite115.0ms (1.7%)

series215.0ms (3.3%)

simplify133.0ms (2%)

prune74.0ms (1.1%)

localize26.0ms (0.4%)

rewrite365.0ms (5.5%)

series234.0ms (3.6%)

simplify160.0ms (2.4%)

prune101.0ms (1.5%)

localize28.0ms (0.4%)

rewrite378.0ms (5.7%)

series196.0ms (3%)

simplify161.0ms (2.4%)

prune133.0ms (2%)

localize16.0ms (0.2%)

rewrite317.0ms (4.8%)

series226.0ms (3.4%)

simplify147.0ms (2.2%)

prune93.0ms (1.4%)

regimes1.0s (15.9%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.6s (24.6%)

Profiling

Iter	Nodes	Cost
0	30	63
1	45	61
2	64	61
3	86	61
4	119	61
5	146	61
6	170	61
7	184	61
8	191	61
9	193	61
10	191	61