Details

analyze2.4s (11%)

Algorithm

1×	search
2×	egg-herbie

Rules

872×	`times-frac_binary64`
354×	`associate-l_binary64`
324×	`associate-*l/_binary64`
318×	`associate-r_binary64`
230×	`associate-*r/_binary64`
186×	`associate-/r*_binary64`
176×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
152×	`associate-/l*_binary64`
146×	`*-commutative_binary64`
120×	`associate-/r/_binary64`
90×	`div-sub_binary64`
71×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
52×	`distribute-neg-frac_binary64`
49×	`unswap-sqr_binary64`
33×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
28×	`sqr-pow_binary64` `associate-/l/_binary64`
20×	`+-commutative_binary64`
16×	`unsub-neg_binary64` `sub-neg_binary64`
14×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`difference-of-sqr-1_binary64`
11×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
10×	`unpow3_binary64`
8×	`distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
7×	`neg-sub0_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
3×	`cube-mult_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `neg-mul-1_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	153	140
2	593	128
3	3065	128
4	4952	128
5	5088	128
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample368.0ms (1.7%)

Algorithm

1×

intervals

Results

107.0ms	38×	body	4096	invalid
61.0ms	119×	body	1024	valid
58.0ms	30×	body	2048	invalid
33.0ms	12×	body	4096	valid
27.0ms	32×	body	2048	valid
25.0ms	47×	body	512	valid
14.0ms	29×	body	1024	invalid
7.0ms	21×	body	512	invalid
4.0ms	32×	body	128	valid
4.0ms	29×	body	128	invalid
3.0ms	14×	body	256	valid
3.0ms	11×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64`
739×	`associate-*r/_binary64`
417×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`
280×	`associate-/l*_binary64`
194×	`times-frac_binary64`
88×	`associate-l_binary64`
80×	`associate-/l/_binary64`
79×	`associate-r_binary64`
40×	`distribute-rgt-out_binary64`
37×	`*-commutative_binary64`
35×	`distribute-lft-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
15×	`distribute-lft-neg-in_binary64`
13×	`distribute-neg-frac_binary64`
10×	`unswap-sqr_binary64`
9×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
8×	`sqr-pow_binary64`
5×	`+-commutative_binary64`
4×	`unsub-neg_binary64` `sub-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
2×	`cube-unmult_binary64` `neg-sub0_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	172	32
3	806	32
4	5185	32

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

37.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
1.2b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
15.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
26.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite430.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

21.9b

Rules

228×	`add-exp-log_binary64`
139×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
51×	`div-exp_binary64`
37×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`pow-exp_binary64`
26×	`cbrt-unprod_binary64`
24×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
23×	`pow-to-exp_binary64` `unpow-prod-down_binary64`
18×	`associate-l_binary64`
12×	`associate-/l*_binary64`
11×	`pow1_binary64`
10×	`associate-*l/_binary64` `cube-prod_binary64`
8×	`cbrt-undiv_binary64`
5×	`sqr-pow_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `tan-quot_binary64` `pow-prod-down_binary64`
3×	`div-inv_binary64` `*-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`frac-times_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 187

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
16.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4542 to 2196 computations (51.7% saved)

series301.0ms (1.4%)

Error

20.2b

Counts

4 → 42

Calls

4 calls:

96.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
93.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
60.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
25.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2224 to 1837 computations (17.4% saved)

simplify190.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

603×	`unswap-sqr_binary64`
514×	`associate-l_binary64`
377×	`associate-r_binary64`
310×	`log-prod_binary64`
197×	`*-commutative_binary64`
159×	`associate-*l/_binary64`
152×	`times-frac_binary64`
151×	`associate-/l*_binary64`
106×	`log-div_binary64`
99×	`associate-/r*_binary64`
98×	`sqr-pow_binary64`
88×	`associate-*r/_binary64`
64×	`cube-prod_binary64`
51×	`exp-prod_binary64`
50×	`*-lft-identity_binary64`
46×	`+-commutative_binary64`
45×	`associate-+l+_binary64`
40×	`sub-neg_binary64`
36×	`*-rgt-identity_binary64`
35×	`log-pow_binary64`
25×	`cube-div_binary64` `associate-/r/_binary64`
22×	`associate-+r+_binary64`
20×	`cube-unmult_binary64`
19×	`swap-sqr_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
13×	`pow-sqr_binary64`
12×	`pow-plus_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub-inv_binary64`
11×	`associate-/l/_binary64`
9×	`associate-+l-_binary64`
7×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64`
6×	`unpow3_binary64` `associate--r+_binary64`
5×	`cube-mult_binary64` `fabs-mul_binary64`
4×	`fabs-div_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
3×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

229 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5820
1	739	5130
2	3270	5081
3	4703	5081
4	5042	5081

prune163.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	196	9	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	9	206

Error

14.8b

Counts

206 → 9

Compiler

Compiled 2724 to 1445 computations (47% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
2.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.4b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.9b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite298.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

10.6b

Rules

163×	`add-exp-log_binary64`
102×	`prod-exp_binary64`
87×	`add-cbrt-cube_binary64`
48×	`cbrt-unprod_binary64`
27×	`div-exp_binary64`
15×	`cbrt-undiv_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
9×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
7×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
2×	`*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow-pow_binary64`

Counts

4 → 124

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3346 to 1274 computations (61.9% saved)

series189.0ms (0.9%)

Error

14.8b

Counts

4 → 36

Calls

4 calls:

88.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
32.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
28.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
10.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1713 to 1306 computations (23.8% saved)

simplify164.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

513×	`times-frac_binary64`
459×	`associate-/l/_binary64`
313×	`associate-/r/_binary64`
259×	`cancel-sign-sub-inv_binary64`
244×	`associate-l_binary64`
231×	`associate-r_binary64`
222×	`log-prod_binary64`
220×	`associate-/l*_binary64`
176×	`log-div_binary64`
174×	`associate-/r*_binary64`
133×	`distribute-rgt-neg-in_binary64`
121×	`distribute-lft-neg-in_binary64`
109×	`*-commutative_binary64`
89×	`sub-neg_binary64`
84×	`unswap-sqr_binary64`
58×	`sqr-pow_binary64`
53×	`swap-sqr_binary64`
52×	`exp-prod_binary64`
44×	`+-commutative_binary64`
39×	`associate--l+_binary64`
36×	`cube-prod_binary64`
35×	`neg-mul-1_binary64` `neg-sub0_binary64`
32×	`associate-*l/_binary64`
28×	`associate-*r/_binary64`
26×	`associate--r+_binary64`
23×	`associate-+l+_binary64`
22×	`log-pow_binary64`
20×	`distribute-rgt-out--_binary64`
19×	`*-rgt-identity_binary64`
18×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
17×	`distribute-lft-out--_binary64`
15×	`cube-div_binary64` `unsub-neg_binary64`
13×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
12×	`cube-unmult_binary64`
11×	`pow-sqr_binary64`
9×	`pow-plus_binary64`
8×	`distribute-rgt-in_binary64`
7×	`distribute-lft-neg-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`log-rec_binary64`
3×	`fabs-mul_binary64`
2×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
1×	`unpow3_binary64` `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` `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-mult_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

160 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	4198
1	516	3113
2	2550	3101
3	4639	3073
4	4992	3073
5	4965	3073

prune74.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	113	13	126

Error

10.6b

Counts

126 → 13

Compiler

Compiled 1091 to 603 computations (44.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
2.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
10.0b	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
13.1b	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))

rewrite369.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

156×	`add-exp-log_binary64`
92×	`add-cbrt-cube_binary64`
76×	`div-exp_binary64`
47×	`prod-exp_binary64`
45×	`times-frac_binary64`
44×	`cbrt-undiv_binary64`
25×	`add-sqr-sqrt_binary64`
23×	`cbrt-unprod_binary64`
19×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-/r_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64` `div-inv_binary64` `associate-r_binary64`
7×	`unpow-prod-down_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `unswap-sqr_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `associate-l_binary64` `pow-unpow_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`
1×	`*-commutative_binary64` `pow-pow_binary64`

Counts

4 → 159

Calls

4 calls:

13.0ms	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
9.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4472 to 1922 computations (57% saved)

series235.0ms (1.1%)

Error

10.6b

Counts

4 → 39

Calls

4 calls:

87.0ms	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
76.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
26.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
11.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1859 to 1445 computations (22.3% saved)

simplify208.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

295×	`log-prod_binary64`
277×	`times-frac_binary64`
258×	`associate-/l*_binary64`
236×	`log-div_binary64` `associate-/r/_binary64`
207×	`cancel-sign-sub-inv_binary64`
179×	`associate-/l/_binary64`
165×	`associate-*l/_binary64`
160×	`associate-l_binary64`
147×	`associate-r_binary64`
146×	`associate-/r*_binary64`
145×	`exp-prod_binary64`
122×	`sub-neg_binary64`
114×	`*-commutative_binary64`
107×	`distribute-rgt-neg-in_binary64`
105×	`associate-*r/_binary64`
99×	`distribute-lft-neg-in_binary64`
84×	`unswap-sqr_binary64`
78×	`associate--r+_binary64`
71×	`+-commutative_binary64`
69×	`associate-+l+_binary64`
60×	`distribute-neg-frac_binary64`
58×	`unpow3_binary64`
56×	`associate-+r+_binary64`
55×	`associate-+l-_binary64`
53×	`sqr-pow_binary64` `swap-sqr_binary64`
52×	`*-rgt-identity_binary64`
50×	`associate--l+_binary64`
42×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64`
38×	`associate--r-_binary64`
35×	`cube-div_binary64` `cube-prod_binary64`
33×	`associate--l-_binary64`
29×	`*-lft-identity_binary64`
28×	`distribute-rgt-out_binary64`
24×	`log-pow_binary64`
21×	`distribute-rgt-in_binary64`
18×	`pow-plus_binary64`
17×	`unsub-neg_binary64`
14×	`/-rgt-identity_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`cube-unmult_binary64`
11×	`log-rec_binary64`
10×	`pow-sqr_binary64`
9×	`distribute-lft-out--_binary64`
7×	`unpow1/2_binary64` `div-sub_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`fabs-mul_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64`
2×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `div0_binary64` `remove-double-div_binary64` `distribute-rgt1-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` `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-mult_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

198 → 162

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	301	5557
1	687	4335
2	2891	4320
3	4508	4294
4	4923	4283
5	4956	4283

prune156.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	154	8	162
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	164	11	175

Error

2.2b

Counts

175 → 11

Compiler

Compiled 2192 to 1053 computations (52% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.9b	(.f64 (/.f64 k l) (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
2.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.8b	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))

rewrite326.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

156×	`add-exp-log_binary64`
92×	`add-cbrt-cube_binary64`
73×	`prod-exp_binary64`
50×	`div-exp_binary64`
39×	`cbrt-unprod_binary64`
36×	`add-sqr-sqrt_binary64`
28×	`cbrt-undiv_binary64`
25×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
23×	`associate-l_binary64`
22×	`times-frac_binary64` `associate-r_binary64`
12×	`pow1_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64`
7×	`unpow-prod-down_binary64`
6×	`frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*l/_binary64`
3×	`div-inv_binary64` `*-commutative_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
1×	`pow-pow_binary64`

Counts

4 → 162

Calls

4 calls:

14.0ms	(.f64 (/.f64 k l) (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
13.0ms	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4387 to 1821 computations (58.5% saved)

series237.0ms (1.1%)

Error

2.2b

Counts

4 → 39

Calls

4 calls:

88.0ms	(.f64 (/.f64 k l) (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
77.0ms	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))
25.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
11.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1843 to 1383 computations (25% saved)

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-/r/_binary64`
612×	`associate-/l/_binary64`
316×	`associate-l_binary64`
314×	`associate-r_binary64`
306×	`associate-*r/_binary64`
302×	`associate-*l/_binary64`
201×	`associate-/l*_binary64`
200×	`*-commutative_binary64`
121×	`cancel-sign-sub-inv_binary64`
117×	`times-frac_binary64`
77×	`log-prod_binary64`
70×	`associate-/r*_binary64`
67×	`sqr-pow_binary64`
61×	`log-div_binary64`
58×	`sub-neg_binary64`
56×	`unswap-sqr_binary64`
47×	`*-rgt-identity_binary64`
45×	`distribute-rgt-neg-in_binary64`
42×	`exp-prod_binary64`
40×	`+-commutative_binary64`
39×	`distribute-lft-neg-in_binary64`
37×	`swap-sqr_binary64`
36×	`*-lft-identity_binary64`
35×	`cube-div_binary64`
33×	`associate-+r+_binary64`
32×	`cube-prod_binary64`
29×	`associate-+l+_binary64`
22×	`distribute-neg-in_binary64`
19×	`associate-+l-_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate--l+_binary64`
14×	`cube-unmult_binary64`
11×	`pow-sqr_binary64` `associate--r+_binary64`
9×	`/-rgt-identity_binary64`
7×	`log-pow_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt-in_binary64`
3×	`fabs-mul_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `unpow3_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `associate--l-_binary64`

Counts

201 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5498
1	765	4270
2	2860	4196
3	5390	4196

prune143.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	151	14	165

Error

0.2b

Counts

165 → 14

Compiler

Compiled 1850 to 870 computations (53% saved)

regimes3.5s (15.6%)

Accuracy

Total 1.9b remaining (71.1%)

Threshold costs 0b (0%)

Compiler

Compiled 46303 to 34898 computations (24.6% saved)

bsearch209.0ms (0.9%)

Steps

Iters	Range		Point
8	-1.9193576607500373e-300	-2.8042304570659867e-303	-4.238571491587023e-303
5	-5.934204274146631e-232	-2.5460540937217377e-232	-3.966348264512985e-232

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`if-if-or-not_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_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	74
1	37	74
2	37	74

end2.0ms (0%)

Compiler: Compiled 48 to 30 computations (37.5% saved)

sample12.1s (54.2%)

Algorithm

1×

intervals

Results

3.7s	1155×	body	4096	invalid
2.3s	3924×	body	1024	valid
1.8s	979×	body	2048	invalid
931.0ms	990×	body	2048	valid
884.0ms	430×	body	4096	valid
531.0ms	1410×	body	512	valid
379.0ms	690×	body	1024	invalid
174.0ms	479×	body	512	invalid
124.0ms	1025×	body	128	invalid
123.0ms	488×	body	256	valid
101.0ms	758×	body	128	valid
75.0ms	296×	body	256	invalid

Compiler

Compiled 384 to 297 computations (22.7% saved)

Details

analyze2.4s (11%)

sample368.0ms (1.7%)

simplify23.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite430.0ms (1.9%)

series301.0ms (1.4%)

simplify190.0ms (0.9%)

prune163.0ms (0.7%)

localize14.0ms (0.1%)

rewrite298.0ms (1.3%)

series189.0ms (0.9%)

simplify164.0ms (0.7%)

prune74.0ms (0.3%)

localize14.0ms (0.1%)

rewrite369.0ms (1.7%)

series235.0ms (1.1%)

simplify208.0ms (0.9%)

prune156.0ms (0.7%)

localize16.0ms (0.1%)

rewrite326.0ms (1.5%)

series237.0ms (1.1%)

simplify135.0ms (0.6%)

prune143.0ms (0.6%)

regimes3.5s (15.6%)

bsearch209.0ms (0.9%)

simplify4.0ms (0%)

end2.0ms (0%)

sample12.1s (54.2%)

Profiling