Details

analyze627.0ms (9.2%)

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)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	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)

simplify110.0ms (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

0.4b

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))

rewrite207.0ms (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:

6.0ms	(/.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)

series105.0ms (1.5%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

32.0ms	(/.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))
17.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
15.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 932 to 705 computations (24.4% saved)

simplify138.0ms (2%)

Algorithm

1×	egg-herbie

Rules

548×	`cancel-sign-sub-inv_binary64`
292×	`associate-l_binary64`
243×	`associate-r_binary64`
212×	`unswap-sqr_binary64`
184×	`exp-prod_binary64`
154×	`div-sub_binary64` `associate-/l*_binary64`
153×	`sub-neg_binary64`
144×	`log-prod_binary64`
118×	`times-frac_binary64` `distribute-neg-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`
49×	`cube-prod_binary64`
46×	`log-div_binary64` `associate-+r+_binary64`
44×	`swap-sqr_binary64`
36×	`associate-*r/_binary64`
33×	`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×	`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-pow_binary64` `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×	`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-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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

134 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	2714
1	338	2463
2	893	2441
3	2856	2427
4	4792	2173
5	4936	2173

prune145.0ms (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 2067 to 1271 computations (38.5% saved)

localize16.0ms (0.2%)

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)

rewrite201.0ms (3%)

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

Compiler

Compiled 2295 to 1345 computations (41.4% saved)

series140.0ms (2.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

23.0ms	(pow.f64 (tan.f64 x) 6)
23.0ms	(pow.f64 (tan.f64 x) 4)
18.0ms	(pow.f64 (tan.f64 x) 2)
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1695 to 1231 computations (27.4% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

347×	`log-prod_binary64`
339×	`times-frac_binary64`
331×	`exp-prod_binary64`
296×	`associate-/l*_binary64`
261×	`associate-+l+_binary64`
241×	`unswap-sqr_binary64`
208×	`associate-+r+_binary64`
206×	`sqr-pow_binary64`
167×	`associate-/r*_binary64`
136×	`cube-prod_binary64`
118×	`*-commutative_binary64`
102×	`associate-*r/_binary64`
101×	`associate-*l/_binary64`
100×	`distribute-rgt-in_binary64`
92×	`unpow3_binary64`
90×	`associate-/l/_binary64`
76×	`distribute-lft-in_binary64`
75×	`associate-l_binary64`
69×	`associate-r_binary64`
67×	`pow-sqr_binary64`
62×	`log-pow_binary64`
57×	`swap-sqr_binary64` `associate-/r/_binary64`
47×	`pow-plus_binary64` `+-commutative_binary64`
42×	`rem-sqrt-square_binary64`
28×	`distribute-rgt-out_binary64`
22×	`cube-unmult_binary64`
16×	`distribute-lft-out_binary64`
13×	`unpow1/2_binary64`
10×	`cube-mult_binary64`
9×	`unpow2_binary64`
8×	`count-2_binary64`
7×	`unpow1_binary64` `*-rgt-identity_binary64`
5×	`*-lft-identity_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`rem-cbrt-cube_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_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` `/-rgt-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` `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 → 73

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1048
1	260	983
2	641	974
3	1600	974
4	4657	968
5	5045	968

prune132.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	73	12	85

Error

0.0b

Counts

85 → 12

Compiler

Compiled 1775 to 1142 computations (35.7% saved)

localize12.0ms (0.2%)

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))))

rewrite411.0ms (6.1%)

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:

43.0ms	(-.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)

series149.0ms (2.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

50.0ms	(-.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))))
18.0ms	(pow.f64 (tan.f64 x) 2)
17.0ms	(pow.f64 (tan.f64 x) 2)
16.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1302 to 1046 computations (19.7% saved)

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/l*_binary64`
421×	`associate-*l/_binary64`
414×	`times-frac_binary64`
204×	`associate-/r*_binary64`
163×	`exp-prod_binary64`
149×	`distribute-rgt-in_binary64`
142×	`associate-/l/_binary64`
126×	`distribute-lft-in_binary64`
117×	`distribute-neg-frac_binary64`
108×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-neg-in_binary64`
104×	`sub-neg_binary64`
98×	`neg-sub0_binary64`
90×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
88×	`associate-/r/_binary64`
85×	`*-commutative_binary64`
83×	`cube-div_binary64`
80×	`cube-prod_binary64`
73×	`distribute-lft-neg-in_binary64` `associate-*r/_binary64`
62×	`div-sub_binary64`
60×	`associate-r_binary64`
55×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
49×	`sqr-pow_binary64`
45×	`associate-l_binary64`
38×	`unswap-sqr_binary64`
35×	`log-prod_binary64`
31×	`exp-sum_binary64`
30×	`distribute-frac-neg_binary64`
25×	`log-pow_binary64`
23×	`distribute-rgt-out_binary64`
21×	`log-div_binary64`
18×	`cube-unmult_binary64`
16×	`unpow3_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
14×	`exp-diff_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
13×	`pow-plus_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64`
12×	`cube-mult_binary64`
11×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
9×	`associate-+r+_binary64`
8×	`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-sqrt-square_binary64`
2×	`log-rec_binary64` `exp-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_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` `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` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_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 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	4421
1	574	4078
2	1563	3554
3	4459	3538
4	4989	3538
5	4943	3538

prune178.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	119	14	133

Error

0.0b

Counts

133 → 14

Compiler

Compiled 2056 to 1464 computations (28.8% 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)

rewrite404.0ms (5.9%)

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:

13.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
8.0ms	(*.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)

series157.0ms (2.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

25.0ms	(pow.f64 (tan.f64 x) 6)
23.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 2163 to 1425 computations (34.1% saved)

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-/l*_binary64`
334×	`associate-/r*_binary64`
304×	`associate-+l+_binary64`
275×	`unswap-sqr_binary64`
238×	`log-prod_binary64`
217×	`associate-*l/_binary64`
175×	`associate-r/_binary64` `-commutative_binary64`
169×	`sqr-pow_binary64`
157×	`associate-/l/_binary64`
152×	`associate-l_binary64`
144×	`exp-prod_binary64`
138×	`associate-r_binary64`
110×	`cube-prod_binary64`
103×	`associate-/r/_binary64`
95×	`distribute-rgt-in_binary64`
88×	`times-frac_binary64`
80×	`distribute-lft-in_binary64`
71×	`unpow3_binary64`
63×	`swap-sqr_binary64`
50×	`associate-+r+_binary64`
47×	`+-commutative_binary64`
46×	`pow-sqr_binary64`
42×	`log-pow_binary64`
31×	`pow-plus_binary64`
29×	`rem-sqrt-square_binary64`
24×	`distribute-rgt-out_binary64`
23×	`cube-unmult_binary64`
14×	`distribute-lft-out_binary64`
10×	`count-2_binary64`
9×	`*-rgt-identity_binary64`
8×	`cube-mult_binary64` `*-lft-identity_binary64`
5×	`unpow1/2_binary64`
4×	`unpow1_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64`
2×	`rem-cbrt-cube_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_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` `/-rgt-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` `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 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1659
1	280	1437
2	717	1361
3	1748	1351
4	4862	1351
5	4922	1351

prune203.0ms (3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	11	12
Picked	1	0	1
Done	1	0	1
Total	147	12	159

Error

0.0b

Counts

159 → 12

Compiler

Compiled 2627 to 1489 computations (43.3% saved)

regimes1.7s (24.6%)

Accuracy

Total 0.3b remaining (80.1%)

Threshold costs 0.3b (80.1%)

Compiler

Compiled 28440 to 19446 computations (31.6% 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` `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)

sample1.3s (19.8%)

Algorithm

1×

intervals

Results

344.0ms	2054×	body	1024	valid
197.0ms	4512×	body	128	valid
119.0ms	963×	body	512	valid
40.0ms	462×	body	256	valid
2.0ms	9×	body	2048	valid

Compiler

Compiled 408 to 307 computations (24.8% saved)

Details

analyze627.0ms (9.2%)

sample31.0ms (0.5%)

simplify110.0ms (1.6%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite207.0ms (3%)

series105.0ms (1.5%)

simplify138.0ms (2%)

prune145.0ms (2.1%)

localize16.0ms (0.2%)

rewrite201.0ms (3%)

series140.0ms (2.1%)

simplify86.0ms (1.3%)

prune132.0ms (1.9%)

localize12.0ms (0.2%)

rewrite411.0ms (6.1%)

series149.0ms (2.2%)

simplify186.0ms (2.7%)

prune178.0ms (2.6%)

localize18.0ms (0.3%)

rewrite404.0ms (5.9%)

series157.0ms (2.3%)

simplify109.0ms (1.6%)

prune203.0ms (3%)

regimes1.7s (24.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.3s (19.8%)

Profiling