Details

analyze648.0ms (9.3%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample32.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	61×	body	1024	valid
6.0ms	142×	body	128	valid
5.0ms	42×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify114.0ms (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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

0.4b

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))))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite212.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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)

series111.0ms (1.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

37.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
17.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
16.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 932 to 705 computations (24.4% saved)

simplify168.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

552×	`cancel-sign-sub-inv_binary64`
292×	`associate-l_binary64`
243×	`associate-r_binary64`
212×	`unswap-sqr_binary64`
191×	`exp-prod_binary64`
168×	`log-prod_binary64`
154×	`div-sub_binary64` `associate-/l*_binary64`
153×	`sub-neg_binary64`
118×	`times-frac_binary64`
113×	`distribute-rgt-in_binary64`
112×	`associate-/r*_binary64`
92×	`distribute-lft-in_binary64`
80×	`*-commutative_binary64`
77×	`unsub-neg_binary64`
75×	`distribute-rgt-neg-in_binary64`
71×	`sqr-pow_binary64`
68×	`neg-sub0_binary64`
65×	`associate-/r/_binary64` `associate-+l+_binary64` `+-commutative_binary64`
63×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
61×	`associate-/l/_binary64` `associate-*l/_binary64`
51×	`cube-prod_binary64`
46×	`associate-+r+_binary64`
44×	`swap-sqr_binary64`
41×	`log-div_binary64`
39×	`distribute-neg-frac_binary64`
36×	`associate-*r/_binary64`
34×	`unpow3_binary64`
32×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`pow-plus_binary64`
25×	`associate-+l-_binary64`
23×	`associate--r+_binary64`
21×	`cube-div_binary64`
19×	`distribute-neg-in_binary64`
18×	`/-rgt-identity_binary64`
17×	`associate--l+_binary64`
16×	`exp-sum_binary64` `sub0-neg_binary64`
15×	`log-pow_binary64` `fabs-mul_binary64` `distribute-rgt-out_binary64`
14×	`cube-unmult_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-rec_binary64`
7×	`exp-diff_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `distribute-rgt1-in_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`cube-mult_binary64`
3×	`unpow1_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `remove-double-div_binary64`
2×	`fabs-sqr_binary64` `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` `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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

134 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	2734
1	338	2455
2	894	2433
3	2861	2419
4	4734	2165
5	4978	2165
6	4905	2165

prune147.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	97	12	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Error

0.0b

Counts

110 → 12

Compiler

Compiled 2033 to 1259 computations (38.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.5b	(pow.f64 (tan.f64 x) 4)
0.6b	(pow.f64 (tan.f64 x) 6)

rewrite206.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `pow1_binary64`
9×	`unpow-prod-down_binary64` `pow-unpow_binary64` `add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `tan-quot_binary64`
3×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
1×	`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` `unpow2_binary64`

Counts

4 → 80

Calls

4 calls:

5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 6)
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 4)

Compiler

Compiled 2295 to 1345 computations (41.4% saved)

series146.0ms (2.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

27.0ms	(pow.f64 (tan.f64 x) 6)
21.0ms	(pow.f64 (tan.f64 x) 4)
20.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
19.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1695 to 1231 computations (27.4% saved)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

426×	`sqr-pow_binary64`
384×	`log-prod_binary64`
365×	`exp-prod_binary64`
339×	`times-frac_binary64`
291×	`associate-/l*_binary64`
261×	`associate-+l+_binary64`
241×	`unswap-sqr_binary64`
232×	`cube-prod_binary64`
208×	`associate-+r+_binary64`
164×	`associate-/r*_binary64`
159×	`pow-sqr_binary64`
141×	`fabs-mul_binary64`
118×	`*-commutative_binary64`
102×	`associate-*r/_binary64`
101×	`associate-*l/_binary64`
100×	`distribute-rgt-in_binary64`
98×	`unpow3_binary64`
96×	`log-pow_binary64`
90×	`associate-/l/_binary64`
76×	`distribute-lft-in_binary64`
75×	`associate-l_binary64`
69×	`associate-r_binary64`
57×	`swap-sqr_binary64`
56×	`rem-sqrt-square_binary64` `associate-/r/_binary64`
52×	`pow-plus_binary64`
47×	`+-commutative_binary64`
36×	`cube-mult_binary64`
30×	`cube-unmult_binary64`
28×	`distribute-rgt-out_binary64`
19×	`/-rgt-identity_binary64`
18×	`unpow1/2_binary64`
16×	`distribute-lft-out_binary64`
15×	`fabs-sqr_binary64` `*-rgt-identity_binary64`
14×	`unpow2_binary64`
9×	`unpow1_binary64` `*-lft-identity_binary64`
8×	`count-2_binary64`
7×	`cube-div_binary64`
3×	`rem-cbrt-cube_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_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` `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` `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-lft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-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-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

104 → 78

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1033
1	260	957
2	642	948
3	1619	948
4	3993	936
5	4737	936
6	5006	936

prune130.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Error

0.0b

Counts

90 → 12

Compiler

Compiled 1747 to 1127 computations (35.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))

rewrite422.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

81×	`*-un-lft-identity_binary64`
70×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
38×	`cancel-sign-sub-inv_binary64`
29×	`add-cube-cbrt_binary64`
24×	`unpow-prod-down_binary64`
15×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
10×	`unpow2_binary64` `sqr-pow_binary64`
9×	`pow-unpow_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `distribute-rgt-out--_binary64`
4×	`add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 134

Calls

4 calls:

49.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 3798 to 2717 computations (28.5% saved)

series157.0ms (2.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

54.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
17.0ms	(pow.f64 (tan.f64 x) 2)
17.0ms	(pow.f64 (tan.f64 x) 2)
17.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1302 to 1046 computations (19.7% saved)

simplify176.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-/l*_binary64`
415×	`times-frac_binary64`
413×	`associate-*l/_binary64`
276×	`exp-prod_binary64`
254×	`div-sub_binary64`
199×	`associate-/r*_binary64`
146×	`distribute-rgt-in_binary64`
145×	`associate-/l/_binary64`
123×	`distribute-lft-in_binary64`
117×	`distribute-neg-frac_binary64`
112×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
102×	`sub-neg_binary64`
98×	`neg-sub0_binary64`
92×	`distribute-lft-neg-out_binary64`
90×	`neg-mul-1_binary64`
86×	`associate-/r/_binary64`
85×	`*-commutative_binary64`
82×	`cube-div_binary64`
79×	`cube-prod_binary64`
77×	`exp-diff_binary64`
76×	`distribute-lft-neg-in_binary64`
73×	`associate-*r/_binary64`
72×	`unpow3_binary64`
67×	`log-prod_binary64`
60×	`associate-r_binary64`
57×	`distribute-rgt-neg-out_binary64`
55×	`+-commutative_binary64`
54×	`log-div_binary64`
49×	`sqr-pow_binary64`
45×	`associate-l_binary64`
38×	`unswap-sqr_binary64`
30×	`distribute-frac-neg_binary64`
27×	`exp-sum_binary64`
24×	`log-pow_binary64`
23×	`distribute-rgt-out_binary64`
18×	`cube-unmult_binary64`
17×	`rem-sqrt-square_binary64`
16×	`unsub-neg_binary64` `/-rgt-identity_binary64`
15×	`fabs-mul_binary64`
14×	`pow-plus_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
13×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64`
12×	`cube-mult_binary64`
11×	`fabs-div_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
9×	`associate-+r+_binary64`
8×	`log-rec_binary64` `unpow1/2_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
7×	`unpow2_binary64` `unpow1_binary64`
6×	`+-rgt-identity_binary64`
5×	`div0_binary64` `difference-of-squares_binary64`
4×	`distribute-neg-out_binary64` `associate--r+_binary64`
3×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64`
2×	`exp-neg_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `sqr-abs_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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` `cube-neg_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

158 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	3816
1	574	3488
2	1563	3324
3	4214	3318
4	4549	3318
5	4867	3318

prune157.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	122	14	136

Error

0.0b

Counts

136 → 14

Compiler

Compiled 1839 to 1317 computations (28.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
0.6b	(pow.f64 (tan.f64 x) 6)

rewrite409.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

130×	`pow1_binary64`
40×	`tan-quot_binary64`
38×	`pow-prod-up_binary64`
25×	`pow-prod-down_binary64`
24×	`pow-sqr_binary64`
21×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64` `pow-plus_binary64`
19×	`frac-times_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`pow2_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`associate-l/_binary64` `associate-r/_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`

Counts

4 → 151

Calls

4 calls:

14.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.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	(pow.f64 (tan.f64 x) 6)

Compiler

Compiled 4673 to 2196 computations (53% saved)

series161.0ms (2.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

27.0ms	(pow.f64 (tan.f64 x) 6)
23.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
21.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
19.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 2163 to 1425 computations (34.1% saved)

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/l*_binary64`
379×	`sqr-pow_binary64`
334×	`associate-/r*_binary64`
308×	`log-prod_binary64`
275×	`unswap-sqr_binary64`
222×	`exp-prod_binary64`
217×	`associate-*l/_binary64`
186×	`cube-prod_binary64`
175×	`associate-r/_binary64` `-commutative_binary64`
157×	`associate-/l/_binary64`
152×	`associate-l_binary64`
138×	`associate-r_binary64`
133×	`pow-sqr_binary64`
111×	`fabs-mul_binary64`
101×	`associate-/r/_binary64`
95×	`distribute-rgt-in_binary64`
88×	`times-frac_binary64`
80×	`distribute-lft-in_binary64`
69×	`log-pow_binary64`
65×	`associate-+l+_binary64`
63×	`swap-sqr_binary64`
50×	`associate-+r+_binary64`
48×	`unpow3_binary64`
47×	`+-commutative_binary64`
46×	`pow-plus_binary64`
40×	`rem-sqrt-square_binary64`
32×	`cube-mult_binary64`
28×	`cube-unmult_binary64`
24×	`distribute-rgt-out_binary64`
17×	`*-rgt-identity_binary64`
15×	`cube-div_binary64` `*-lft-identity_binary64`
14×	`distribute-lft-out_binary64`
13×	`fabs-sqr_binary64`
10×	`unpow1/2_binary64` `/-rgt-identity_binary64` `count-2_binary64`
8×	`unpow2_binary64`
4×	`unpow1_binary64` `distribute-rgt1-in_binary64`
3×	`rem-cbrt-cube_binary64`
2×	`fabs-fabs_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `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-lft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-neg_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-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-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

175 → 150

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	1593
1	280	1361
2	718	1345
3	1765	1335
4	4191	1310
5	4900	1310
6	4930	1310

prune203.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	11	12
Picked	1	0	1
Done	1	0	1
Total	152	12	164

Error

0.0b

Counts

164 → 12

Compiler

Compiled 2577 to 1455 computations (43.5% saved)

regimes1.7s (24.1%)

Accuracy

Total 0.3b remaining (79.8%)

Threshold costs 0.3b (79.8%)

Compiler

Compiled 28172 to 19246 computations (31.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64` `+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	23	47
2	32	47
3	38	47
4	41	47
5	39	47

end1.0ms (0%)

Compiler: Compiled 29 to 12 computations (58.6% saved)

sample1.4s (20.3%)

Algorithm

1×

intervals

Results

378.0ms	2054×	body	1024	valid
203.0ms	4512×	body	128	valid
131.0ms	963×	body	512	valid
47.0ms	462×	body	256	valid
2.0ms	9×	body	2048	valid

Compiler

Compiled 403 to 299 computations (25.8% saved)

Details

analyze648.0ms (9.3%)

sample32.0ms (0.5%)

simplify114.0ms (1.6%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite212.0ms (3%)

series111.0ms (1.6%)

simplify168.0ms (2.4%)

prune147.0ms (2.1%)

localize18.0ms (0.3%)

rewrite206.0ms (2.9%)

series146.0ms (2.1%)

simplify108.0ms (1.5%)

prune130.0ms (1.9%)

localize9.0ms (0.1%)

rewrite422.0ms (6%)

series157.0ms (2.2%)

simplify176.0ms (2.5%)

prune157.0ms (2.3%)

localize18.0ms (0.3%)

rewrite409.0ms (5.8%)

series161.0ms (2.3%)

simplify128.0ms (1.8%)

prune203.0ms (2.9%)

regimes1.7s (24.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.4s (20.3%)

Profiling