Details

analyze618.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

676×	`sub-neg_binary64`
627×	`times-frac_binary64`
614×	`unsub-neg_binary64`
570×	`div-sub_binary64`
462×	`neg-sub0_binary64`
417×	`neg-mul-1_binary64`
396×	`distribute-neg-in_binary64`
267×	`distribute-rgt-in_binary64`
243×	`distribute-neg-out_binary64`
237×	`associate-/l*_binary64`
220×	`distribute-frac-neg_binary64` `+-commutative_binary64`
203×	`distribute-rgt-out--_binary64`
202×	`distribute-lft-in_binary64`
199×	`*-commutative_binary64`
188×	`distribute-rgt-neg-out_binary64`
184×	`distribute-lft-neg-out_binary64`
164×	`associate--r+_binary64`
152×	`distribute-rgt-neg-in_binary64`
144×	`associate-/r*_binary64`
135×	`associate--l+_binary64`
126×	`associate-+r-_binary64`
125×	`associate-+l-_binary64`
124×	`associate--l-_binary64`
120×	`distribute-neg-frac_binary64`
113×	`associate--r-_binary64`
104×	`remove-double-neg_binary64`
97×	`distribute-rgt-out_binary64`
96×	`cancel-sign-sub-inv_binary64`
82×	`distribute-lft-neg-in_binary64`
78×	`associate-l_binary64`
69×	`associate-r_binary64`
64×	`distribute-rgt1-in_binary64`
56×	`associate-/l/_binary64`
52×	`cancel-sign-sub_binary64`
51×	`associate-/r/_binary64`
45×	`associate-+r+_binary64`
40×	`associate-+l+_binary64`
30×	`mul-1-neg_binary64` `distribute-lft-out--_binary64`
27×	`distribute-lft-out_binary64`
26×	`div0_binary64`
24×	`associate-*l/_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
21×	`/-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
19×	`*-rgt-identity_binary64`
18×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
14×	`sub0-neg_binary64`
12×	`+-rgt-identity_binary64` `associate-*r/_binary64`
9×	`+-lft-identity_binary64`
8×	`--rgt-identity_binary64`
4×	`*-inverses_binary64` `+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `difference-of-sqr-1_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	24
2	29	24
3	43	24
4	87	24
5	117	24
6	175	24
7	376	24
8	788	24
9	1321	24
10	2683	24
11	3470	24
12	4204	24
13	4847	24
14	4853	24
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	61×	body	1024	valid
6.0ms	154×	body	128	valid
3.0ms	27×	body	512	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

676×	`sub-neg_binary64`
627×	`times-frac_binary64`
614×	`unsub-neg_binary64`
570×	`div-sub_binary64`
462×	`neg-sub0_binary64`
417×	`neg-mul-1_binary64`
396×	`distribute-neg-in_binary64`
267×	`distribute-rgt-in_binary64`
243×	`distribute-neg-out_binary64`
237×	`associate-/l*_binary64`
220×	`distribute-frac-neg_binary64` `+-commutative_binary64`
203×	`distribute-rgt-out--_binary64`
202×	`distribute-lft-in_binary64`
199×	`*-commutative_binary64`
188×	`distribute-rgt-neg-out_binary64`
184×	`distribute-lft-neg-out_binary64`
164×	`associate--r+_binary64`
152×	`distribute-rgt-neg-in_binary64`
144×	`associate-/r*_binary64`
135×	`associate--l+_binary64`
126×	`associate-+r-_binary64`
125×	`associate-+l-_binary64`
124×	`associate--l-_binary64`
120×	`distribute-neg-frac_binary64`
113×	`associate--r-_binary64`
104×	`remove-double-neg_binary64`
97×	`distribute-rgt-out_binary64`
96×	`cancel-sign-sub-inv_binary64`
82×	`distribute-lft-neg-in_binary64`
78×	`associate-l_binary64`
69×	`associate-r_binary64`
64×	`distribute-rgt1-in_binary64`
56×	`associate-/l/_binary64`
52×	`cancel-sign-sub_binary64`
51×	`associate-/r/_binary64`
45×	`associate-+r+_binary64`
40×	`associate-+l+_binary64`
30×	`mul-1-neg_binary64` `distribute-lft-out--_binary64`
27×	`distribute-lft-out_binary64`
26×	`div0_binary64`
24×	`associate-*l/_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
21×	`/-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
19×	`*-rgt-identity_binary64`
18×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
14×	`sub0-neg_binary64`
12×	`+-rgt-identity_binary64` `associate-*r/_binary64`
9×	`+-lft-identity_binary64`
8×	`--rgt-identity_binary64`
4×	`*-inverses_binary64` `+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `difference-of-sqr-1_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	24
2	29	24
3	43	24
4	87	24
5	117	24
6	175	24
7	376	24
8	788	24
9	1321	24
10	2683	24
11	3470	24
12	4204	24
13	4847	24
14	4853	24

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

1 → 1

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite233.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

31×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
15×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
8×	`tan-quot_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 110

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2443 to 939 computations (61.6% saved)

series110.0ms (1.6%)

Error

0.3b

Counts

4 → 22

Calls

4 calls:

36.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
19.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
16.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 870 to 661 computations (24% saved)

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Rules

544×	`cancel-sign-sub-inv_binary64`
277×	`associate-l_binary64`
228×	`associate-r_binary64`
190×	`unswap-sqr_binary64`
154×	`div-sub_binary64` `associate-/l*_binary64`
153×	`sub-neg_binary64`
144×	`log-prod_binary64`
121×	`exp-prod_binary64`
118×	`times-frac_binary64` `distribute-neg-frac_binary64`
113×	`distribute-rgt-in_binary64`
112×	`associate-/r*_binary64`
107×	`distribute-rgt-neg-out_binary64`
92×	`distribute-lft-in_binary64`
77×	`unsub-neg_binary64`
76×	`*-commutative_binary64`
75×	`distribute-rgt-neg-in_binary64`
69×	`sqr-pow_binary64`
68×	`neg-sub0_binary64`
65×	`associate-/r/_binary64`
63×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
61×	`associate-/l/_binary64` `associate-*l/_binary64`
50×	`+-commutative_binary64`
48×	`cube-prod_binary64`
46×	`log-div_binary64`
44×	`swap-sqr_binary64` `associate-+l+_binary64`
36×	`associate-*r/_binary64`
33×	`unpow3_binary64`
32×	`*-lft-identity_binary64`
31×	`associate-+r+_binary64`
30×	`*-rgt-identity_binary64`
25×	`distribute-frac-neg_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
23×	`associate--r+_binary64`
21×	`cube-div_binary64`
18×	`/-rgt-identity_binary64`
17×	`associate--l+_binary64`
16×	`exp-sum_binary64` `sub0-neg_binary64`
15×	`pow-plus_binary64`
14×	`cube-unmult_binary64`
13×	`distribute-rgt-out_binary64`
12×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64`
11×	`difference-of-sqr-1_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r-_binary64`
9×	`log-pow_binary64` `log-rec_binary64`
7×	`exp-diff_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`unpow1/2_binary64` `distribute-lft-out_binary64`
4×	`cube-mult_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `remove-double-div_binary64`
2×	`difference-of-sqr--1_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64`

Counts

132 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2652
1	327	2401
2	851	2379
3	2753	2365
4	4851	2365
5	4910	2365

prune72.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	62	10	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	10	73

Error

0.1b

Counts

73 → 10

Compiler

Compiled 1267 to 612 computations (51.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x)))
0.2b	(/.f64 (+.f64 (sqrt.f64 1) (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(+.f64 (sqrt.f64 1) (tan.f64 x))

rewrite544.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

204×	`times-frac_binary64`
203×	`*-un-lft-identity_binary64`
153×	`add-sqr-sqrt_binary64`
94×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
19×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
11×	`pow1_binary64`
7×	`div-inv_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`tan-quot_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 224

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (sqrt.f64 1) (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
7.0ms	(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x)))
6.0ms	(+.f64 (sqrt.f64 1) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 6074 to 3340 computations (45% saved)

series126.0ms (1.8%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

38.0ms	(/.f64 (+.f64 (sqrt.f64 1) (tan.f64 x)) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x))))
27.0ms	(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (tan.f64 x)))
19.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
12.0ms	(+.f64 (sqrt.f64 1) (tan.f64 x))

Compiler

Compiled 980 to 717 computations (26.8% saved)

simplify273.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

725×	`times-frac_binary64`
443×	`associate-/r/_binary64`
386×	`distribute-rgt-in_binary64`
377×	`associate-/l/_binary64`
335×	`distribute-lft-in_binary64`
129×	`associate-*l/_binary64`
127×	`*-commutative_binary64`
126×	`neg-mul-1_binary64`
125×	`neg-sub0_binary64`
94×	`cancel-sign-sub-inv_binary64`
80×	`associate-r_binary64`
77×	`associate-l_binary64`
71×	`associate-/l*_binary64`
63×	`div-sub_binary64`
61×	`log-prod_binary64`
58×	`associate-*r/_binary64`
55×	`unswap-sqr_binary64`
54×	`*-rgt-identity_binary64` `+-commutative_binary64`
53×	`exp-prod_binary64`
51×	`sub-neg_binary64`
50×	`cube-prod_binary64`
44×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
40×	`distribute-rgt-neg-out_binary64`
39×	`*-lft-identity_binary64`
38×	`distribute-lft-neg-in_binary64`
37×	`sqr-pow_binary64`
32×	`associate-/r*_binary64`
24×	`associate-+r+_binary64`
22×	`associate-+l+_binary64`
21×	`distribute-rgt-out_binary64`
14×	`cube-unmult_binary64`
13×	`pow-plus_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
11×	`distribute-neg-in_binary64`
10×	`log-div_binary64` `exp-sum_binary64` `swap-sqr_binary64`
9×	`unpow3_binary64`
8×	`/-rgt-identity_binary64` `associate--r+_binary64`
7×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
6×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64`
5×	`unpow1/2_binary64` `cube-div_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `cube-mult_binary64` `remove-double-div_binary64` `pow-sqr_binary64`
3×	`unpow1_binary64` `distribute-lft-out--_binary64`
2×	`exp-diff_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div0_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

247 → 229

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	9310
1	703	8929
2	2215	8860
3	4590	8251
4	5010	8251

prune401.0ms (5.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	221	8	229
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	226	13	239

Error

0.1b

Counts

239 → 13

Compiler

Compiled 4874 to 3136 computations (35.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(+.f64 (sqrt.f64 1) (tan.f64 x))
0.2b	(+.f64 1 (tan.f64 x))

rewrite194.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
4×	`add-cbrt-cube_binary64`
2×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 60

Calls

4 calls:

4.0ms	(+.f64 (sqrt.f64 1) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(+.f64 1 (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1672 to 1130 computations (32.4% saved)

series123.0ms (1.7%)

Error

0.1b

Counts

4 → 22

Calls

4 calls:

19.0ms	(pow.f64 (tan.f64 x) 2)
19.0ms	(pow.f64 (tan.f64 x) 2)
14.0ms	(+.f64 1 (tan.f64 x))
13.0ms	(+.f64 (sqrt.f64 1) (tan.f64 x))

Compiler

Compiled 1409 to 1072 computations (23.9% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

564×	`unswap-sqr_binary64`
468×	`difference-of-squares_binary64`
300×	`*-commutative_binary64`
257×	`times-frac_binary64`
189×	`sqr-pow_binary64`
183×	`log-prod_binary64`
177×	`exp-prod_binary64`
165×	`cube-prod_binary64`
163×	`associate-l_binary64`
161×	`distribute-rgt-in_binary64`
139×	`associate-r_binary64`
123×	`associate-+l+_binary64`
122×	`distribute-lft-in_binary64`
115×	`distribute-rgt-out_binary64`
104×	`associate-+r+_binary64`
96×	`cancel-sign-sub-inv_binary64`
67×	`sub-neg_binary64`
63×	`distribute-lft-out_binary64`
60×	`associate-/l*_binary64`
55×	`pow-sqr_binary64`
49×	`+-commutative_binary64`
45×	`pow-plus_binary64`
42×	`distribute-rgt-neg-in_binary64`
39×	`rem-sqrt-square_binary64`
36×	`cube-unmult_binary64`
32×	`distribute-lft-neg-in_binary64`
28×	`log-pow_binary64` `neg-mul-1_binary64`
27×	`neg-sub0_binary64`
26×	`difference-of-sqr--1_binary64`
25×	`associate-/r*_binary64`
22×	`unpow3_binary64`
21×	`*-rgt-identity_binary64`
19×	`associate-/l/_binary64`
17×	`distribute-rgt-out--_binary64`
16×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
14×	`difference-of-sqr-1_binary64`
13×	`unsub-neg_binary64`
12×	`swap-sqr_binary64` `associate-*r/_binary64`
11×	`associate-*l/_binary64`
10×	`unpow1/2_binary64`
9×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
8×	`cube-mult_binary64`
7×	`unpow2_binary64` `unpow1_binary64` `distribute-lft1-in_binary64`
6×	`sub0-neg_binary64` `distribute-lft-out--_binary64`
5×	`associate-+r-_binary64`
4×	`+-rgt-identity_binary64`
3×	`mul-1-neg_binary64` `count-2_binary64` `associate--r+_binary64`
2×	`exp-sum_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

82 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	874
1	190	770
2	398	764
3	1100	764
4	2987	764
5	5589	764

prune126.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	51	13	64

Error

0.1b

Counts

64 → 13

Compiler

Compiled 1454 to 969 computations (33.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (exp.f64 (+.f64 1 (tan.f64 x))))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(+.f64 1 (tan.f64 x))
0.3b	(exp.f64 (+.f64 1 (tan.f64 x)))

rewrite171.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64`
11×	`add-cube-cbrt_binary64`
9×	`add-log-exp_binary64`
8×	`exp-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`log-pow_binary64`
4×	`tan-quot_binary64` `log-prod_binary64`
3×	`distribute-lft-out_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`exp-sum_binary64` `sum-log_binary64` `rem-exp-log_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `rem-log-exp_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms	(exp.f64 (+.f64 1 (tan.f64 x)))
4.0ms	(log.f64 (exp.f64 (+.f64 1 (tan.f64 x))))
3.0ms	(+.f64 1 (tan.f64 x))

Compiler

Compiled 1489 to 827 computations (44.5% saved)

series115.0ms (1.6%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

25.0ms	(log.f64 (exp.f64 (+.f64 1 (tan.f64 x))))
17.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
15.0ms	(exp.f64 (+.f64 1 (tan.f64 x)))
13.0ms	(+.f64 1 (tan.f64 x))

Compiler

Compiled 1102 to 779 computations (29.3% saved)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary64`
403×	`*-commutative_binary64`
326×	`associate-l_binary64`
249×	`associate-r_binary64`
237×	`unswap-sqr_binary64`
202×	`distribute-rgt-out_binary64`
200×	`associate-+l+_binary64`
186×	`sqr-pow_binary64`
150×	`associate-+r+_binary64`
148×	`log-prod_binary64` `distribute-rgt-in_binary64`
143×	`exp-prod_binary64`
111×	`log-pow_binary64`
106×	`cancel-sign-sub-inv_binary64`
100×	`swap-sqr_binary64` `distribute-lft-out_binary64`
99×	`distribute-lft-in_binary64`
97×	`cube-prod_binary64`
74×	`distribute-rgt-neg-in_binary64`
72×	`distribute-rgt1-in_binary64`
68×	`+-commutative_binary64`
65×	`unpow3_binary64`
62×	`pow-plus_binary64` `distribute-lft-neg-in_binary64`
56×	`prod-exp_binary64` `pow-sqr_binary64`
55×	`associate-/l*_binary64`
49×	`neg-mul-1_binary64`
43×	`distribute-lft1-in_binary64`
42×	`sub-neg_binary64`
38×	`exp-sum_binary64` `associate-/r*_binary64`
31×	`distribute-rgt-out--_binary64`
29×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
26×	`difference-of-squares_binary64`
24×	`cube-mult_binary64` `*-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
16×	`neg-sub0_binary64`
15×	`exp-to-pow_binary64`
14×	`associate-/l/_binary64`
13×	`unpow1/2_binary64` `unsub-neg_binary64` `distribute-neg-in_binary64`
12×	`associate-*r/_binary64`
11×	`rem-log-exp_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`unpow2_binary64` `associate-+l-_binary64`
8×	`associate-*l/_binary64`
7×	`count-2_binary64`
6×	`unpow1_binary64` `sub0-neg_binary64`
5×	`log-div_binary64` `rem-exp-log_binary64` `associate-+r-_binary64`
4×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr--1_binary64`
3×	`exp-sqrt_binary64` `difference-of-sqr-1_binary64` `associate--r+_binary64`
2×	`associate--l+_binary64`
1×	`exp-lft-sqr_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

94 → 58

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	123	997
1	241	918
2	587	912
3	1553	876
4	3129	843
5	4619	837
6	4859	837
7	4905	837

prune99.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	58	13	71

Error

0.1b

Counts

71 → 13

Compiler

Compiled 1002 to 597 computations (40.4% saved)

regimes2.0s (29%)

Accuracy

Total 0.3b remaining (78.2%)

Threshold costs 0.3b (78.2%)

Compiler

Compiled 30379 to 19790 computations (34.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	19	24
2	24	24
3	27	24
4	28	24
5	27	24

end1.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

sample1.3s (17.9%)

Algorithm

1×

intervals

Results

325.0ms	1952×	body	1024	valid
186.0ms	4484×	body	128	valid
126.0ms	1007×	body	512	valid
54.0ms	552×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 363 to 241 computations (33.6% saved)

Details

analyze618.0ms (8.8%)

sample29.0ms (0.4%)

simplify111.0ms (1.6%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite233.0ms (3.3%)

series110.0ms (1.6%)

simplify141.0ms (2%)

prune72.0ms (1%)

localize10.0ms (0.1%)

rewrite544.0ms (7.7%)

series126.0ms (1.8%)

simplify273.0ms (3.9%)

prune401.0ms (5.7%)

localize14.0ms (0.2%)

rewrite194.0ms (2.8%)

series123.0ms (1.7%)

simplify76.0ms (1.1%)

prune126.0ms (1.8%)

localize13.0ms (0.2%)

rewrite171.0ms (2.4%)

series115.0ms (1.6%)

simplify121.0ms (1.7%)

prune99.0ms (1.4%)

regimes2.0s (29%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.3s (17.9%)

Profiling