Details

analyze2.1s (13.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

924×	`times-frac_binary64`
401×	`associate-l_binary64`
388×	`associate-*l/_binary64`
366×	`associate-r_binary64`
302×	`associate-*r/_binary64`
196×	`distribute-rgt-out_binary64`
190×	`associate-/r*_binary64`
164×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
158×	`*-commutative_binary64`
152×	`associate-/l*_binary64`
120×	`associate-/r/_binary64`
78×	`*-lft-identity_binary64`
56×	`*-rgt-identity_binary64`
50×	`/-rgt-identity_binary64`
46×	`sqr-pow_binary64`
28×	`unswap-sqr_binary64`
24×	`distribute-lft-out_binary64`
20×	`associate-/l/_binary64`
17×	`unpow3_binary64`
16×	`associate-+l+_binary64`
14×	`cube-unmult_binary64`
12×	`associate-+r+_binary64`
11×	`pow-plus_binary64`
8×	`distribute-rgt1-in_binary64` `+-commutative_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64`
3×	`cube-mult_binary64` `cube-div_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-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	167	140
2	627	140
3	3317	140
4	4968	140
5	4998	140
6	5000	140
7	4978	140
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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample101.0ms (0.6%)

Algorithm

1×

intervals

Results

43.0ms	86×	body	1024	valid
16.0ms	44×	body	512	valid
13.0ms	108×	body	128	valid
4.0ms	36×	body	128	invalid
4.0ms	17×	body	256	valid
3.0ms	8×	body	512	invalid
2.0ms	4×	body	1024	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
371×	`distribute-rgt-out_binary64`
316×	`associate-/l*_binary64`
280×	`*-commutative_binary64`
225×	`associate-+l+_binary64`
201×	`times-frac_binary64`
146×	`distribute-lft-out_binary64`
127×	`unswap-sqr_binary64`
100×	`associate-l_binary64`
97×	`associate-*l/_binary64`
91×	`associate-r_binary64`
83×	`associate-/l/_binary64`
79×	`count-2_binary64`
75×	`associate-*r/_binary64`
43×	`*-lft-identity_binary64`
41×	`associate-+r+_binary64`
38×	`*-rgt-identity_binary64`
35×	`sqr-pow_binary64`
26×	`distribute-rgt1-in_binary64`
16×	`/-rgt-identity_binary64`
8×	`cube-unmult_binary64`
7×	`pow-plus_binary64`
6×	`pow-sqr_binary64`
5×	`unpow3_binary64` `distribute-lft1-in_binary64`
4×	`+-commutative_binary64`
3×	`unpow2_binary64`
2×	`swap-sqr_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-sqrt-square_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	178	35
3	866	35
4	3022	35
5	4619	35
6	4978	35
7	4931	35

prune8.0ms (0.1%)

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

31.3b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
3.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite333.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

108×	`add-exp-log_binary64`
58×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
28×	`times-frac_binary64`
26×	`cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
24×	`div-exp_binary64`
20×	`pow1_binary64`
19×	`*-un-lft-identity_binary64`
18×	`associate-l_binary64`
17×	`add-cube-cbrt_binary64`
16×	`associate-*l/_binary64`
12×	`associate-/l*_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-r_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `tan-quot_binary64`
6×	`associate-*r/_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `*-commutative_binary64`
2×	`div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64`

Counts

4 → 159

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
12.0ms	(.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 4439 to 2333 computations (47.4% saved)

series382.0ms (2.4%)

Error

23.0b

Counts

4 → 41

Calls

4 calls:

177.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
89.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
64.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
29.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2374 to 1976 computations (16.8% saved)

simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-l_binary64`
525×	`unswap-sqr_binary64`
397×	`associate-r_binary64`
262×	`log-prod_binary64`
225×	`*-commutative_binary64`
159×	`times-frac_binary64`
154×	`associate-/l*_binary64`
130×	`associate-*l/_binary64`
116×	`distribute-rgt-in_binary64`
115×	`distribute-lft-in_binary64`
99×	`associate-/r*_binary64`
83×	`log-div_binary64`
77×	`exp-prod_binary64`
75×	`associate-*r/_binary64`
70×	`sqr-pow_binary64`
66×	`cube-prod_binary64`
61×	`swap-sqr_binary64`
60×	`cancel-sign-sub-inv_binary64`
46×	`+-commutative_binary64`
40×	`sub-neg_binary64`
36×	`*-lft-identity_binary64`
34×	`cube-div_binary64`
24×	`*-rgt-identity_binary64`
22×	`log-pow_binary64` `associate-+l+_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-/r/_binary64`
14×	`pow-sqr_binary64`
13×	`cube-unmult_binary64`
11×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
10×	`associate-+l-_binary64`
9×	`pow-plus_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
8×	`unpow3_binary64` `rem-sqrt-square_binary64`
6×	`cube-mult_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`exp-sum_binary64` `associate-+r-_binary64`
3×	`associate--l+_binary64`
2×	`unsub-neg_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `count-2_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

200 → 158

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	5236
1	728	4472
2	3268	4445
3	4860	4445
4	5102	4445

prune131.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	150	8	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	8	159

Error

15.3b

Counts

159 → 8

Compiler

Compiled 2253 to 1273 computations (43.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.3b	(*.f64 (sin.f64 k) (/.f64 t l))
3.9b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.4b	(/.f64 (*.f64 t t) l)
10.6b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite358.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

120×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
70×	`prod-exp_binary64` `cbrt-unprod_binary64`
34×	`frac-times_binary64`
31×	`associate-*r/_binary64`
29×	`pow1_binary64`
27×	`associate-*l/_binary64`
21×	`div-exp_binary64` `cbrt-undiv_binary64` `add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
18×	`*-un-lft-identity_binary64`
17×	`pow-prod-down_binary64`
16×	`add-cube-cbrt_binary64` `tan-quot_binary64`
13×	`times-frac_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`-commutative_binary64` `associate-/r_binary64`
2×	`div-inv_binary64` `unswap-sqr_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 159

Calls

4 calls:

27.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5760 to 1898 computations (67% saved)

series354.0ms (2.3%)

Error

15.3b

Counts

4 → 42

Calls

4 calls:

175.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
91.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
47.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
22.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2466 to 1936 computations (21.5% saved)

simplify225.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-r_binary64`
485×	`distribute-rgt-in_binary64`
335×	`*-commutative_binary64`
222×	`associate-*l/_binary64`
200×	`log-prod_binary64`
180×	`distribute-lft-in_binary64`
169×	`associate-/l*_binary64`
150×	`associate-*r/_binary64`
148×	`cube-prod_binary64`
144×	`unswap-sqr_binary64`
127×	`exp-prod_binary64`
118×	`times-frac_binary64`
93×	`associate-l_binary64`
90×	`log-div_binary64` `distribute-rgt-out_binary64`
76×	`cube-div_binary64`
68×	`sqr-pow_binary64`
66×	`associate-/r*_binary64`
61×	`+-commutative_binary64`
57×	`sub-neg_binary64`
49×	`swap-sqr_binary64`
43×	`associate-+l+_binary64`
41×	`unpow3_binary64`
36×	`*-rgt-identity_binary64` `associate-/l/_binary64`
35×	`cube-mult_binary64`
33×	`cancel-sign-sub-inv_binary64`
32×	`associate-/r/_binary64`
27×	`distribute-neg-frac_binary64`
23×	`distribute-rgt-neg-in_binary64`
21×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`associate-+r+_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
15×	`cube-unmult_binary64`
14×	`associate-+l-_binary64`
13×	`log-pow_binary64`
11×	`pow-plus_binary64`
8×	`unpow1/2_binary64` `exp-sum_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
7×	`pow-sqr_binary64`
6×	`associate--r+_binary64` `associate-+r-_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `unsub-neg_binary64` `*-lft-identity_binary64`
3×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `count-2_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

201 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	6659
1	987	4881
2	3336	4787
3	4535	4787
4	4954	4787
5	4955	4787

prune143.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	156	7	163
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	161	10	171

Error

9.6b

Counts

171 → 10

Compiler

Compiled 2513 to 1341 computations (46.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
3.3b	(*.f64 (sin.f64 k) (/.f64 t l))
3.9b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
10.6b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite445.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

151×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
96×	`prod-exp_binary64` `cbrt-unprod_binary64`
61×	`pow1_binary64`
52×	`associate-*r/_binary64`
41×	`pow-prod-down_binary64`
35×	`frac-times_binary64`
28×	`associate-*l/_binary64`
21×	`associate-r_binary64`
19×	`div-exp_binary64` `cbrt-undiv_binary64` `add-sqr-sqrt_binary64`
16×	`tan-quot_binary64` `*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64` `div-inv_binary64`

Counts

4 → 177

Calls

4 calls:

28.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
11.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 6268 to 1950 computations (68.9% saved)

series397.0ms (2.5%)

Error

9.6b

Counts

4 → 47

Calls

4 calls:

173.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
88.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
67.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
46.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 2812 to 2233 computations (20.6% saved)

simplify244.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

836×	`times-frac_binary64`
499×	`distribute-rgt-in_binary64`
454×	`*-commutative_binary64`
198×	`distribute-lft-in_binary64`
146×	`associate-/l*_binary64`
144×	`log-prod_binary64`
140×	`cube-prod_binary64`
126×	`associate-*r/_binary64`
124×	`exp-prod_binary64`
112×	`associate-*l/_binary64`
107×	`unswap-sqr_binary64`
102×	`associate-l_binary64`
100×	`log-div_binary64`
71×	`sqr-pow_binary64`
68×	`+-commutative_binary64`
57×	`associate-/r*_binary64`
54×	`associate-r_binary64`
52×	`associate-+l+_binary64`
48×	`sub-neg_binary64`
45×	`swap-sqr_binary64`
44×	`cube-div_binary64`
36×	`distribute-neg-frac_binary64`
32×	`cancel-sign-sub-inv_binary64`
25×	`unpow3_binary64`
21×	`distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
20×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
18×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-/r/_binary64`
15×	`cube-unmult_binary64`
14×	`log-pow_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate-/l/_binary64`
10×	`*-rgt-identity_binary64`
9×	`pow-sqr_binary64` `associate-+l-_binary64`
8×	`unpow1/2_binary64` `pow-plus_binary64` `associate--l+_binary64`
7×	`/-rgt-identity_binary64` `associate-+r-_binary64`
6×	`exp-sum_binary64`
5×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `unsub-neg_binary64`
4×	`associate--r+_binary64`
3×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-lft-identity_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

224 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	7724
1	1033	5604
2	2541	5580
3	4492	5580
4	4971	5580
5	4988	5580

prune178.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	187	8	195
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	192	13	205

Error

8.1b

Counts

205 → 13

Compiler

Compiled 2899 to 1513 computations (47.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
1.1b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
3.3b	(*.f64 (sin.f64 k) (/.f64 t l))
14.2b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))

rewrite626.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

275×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
167×	`prod-exp_binary64` `cbrt-unprod_binary64`
84×	`associate-*r/_binary64`
59×	`pow1_binary64` `frac-times_binary64`
52×	`div-exp_binary64` `cbrt-undiv_binary64`
40×	`pow-prod-down_binary64`
35×	`associate-*l/_binary64`
24×	`tan-quot_binary64`
23×	`associate-/r/_binary64`
19×	`add-sqr-sqrt_binary64`
16×	`flip3-+_binary64` `flip-+_binary64`
15×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`times-frac_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`-commutative_binary64` `associate-/l_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 232

Calls

4 calls:

30.0ms	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
27.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
11.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
11.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 9413 to 3286 computations (65.1% saved)

series488.0ms (3.1%)

Error

8.1b

Counts

4 → 51

Calls

4 calls:

171.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
163.0ms	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
65.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
47.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3325 to 2615 computations (21.4% saved)

simplify240.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-rgt-in_binary64`
537×	`associate-/r*_binary64`
443×	`*-commutative_binary64`
229×	`associate-/l*_binary64`
215×	`times-frac_binary64`
159×	`associate-*l/_binary64`
157×	`associate-*r/_binary64`
121×	`sub-neg_binary64`
118×	`unswap-sqr_binary64`
106×	`cancel-sign-sub-inv_binary64`
98×	`distribute-lft-in_binary64`
97×	`distribute-neg-frac_binary64`
88×	`distribute-rgt-neg-in_binary64`
86×	`associate-l_binary64`
85×	`distribute-lft-neg-in_binary64`
81×	`associate-r_binary64`
71×	`sqr-pow_binary64`
63×	`distribute-neg-in_binary64`
61×	`+-commutative_binary64`
58×	`associate-+l+_binary64`
47×	`associate-/r/_binary64`
45×	`neg-mul-1_binary64` `neg-sub0_binary64`
43×	`associate--r+_binary64`
40×	`swap-sqr_binary64`
37×	`log-div_binary64`
33×	`log-prod_binary64`
32×	`exp-prod_binary64`
31×	`associate-+r+_binary64`
21×	`cube-div_binary64` `associate-/l/_binary64`
20×	`cube-prod_binary64`
16×	`unsub-neg_binary64` `associate--l+_binary64`
14×	`distribute-lft-neg-out_binary64`
11×	`cube-unmult_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`associate-+l-_binary64`
8×	`pow-sqr_binary64`
7×	`/-rgt-identity_binary64` `associate-+r-_binary64`
6×	`exp-sum_binary64` `distribute-rgt-out_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`log-pow_binary64` `unpow3_binary64` `*-rgt-identity_binary64`
3×	`cube-mult_binary64` `rem-sqrt-square_binary64`
2×	`pow-plus_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `*-lft-identity_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

283 → 255

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	12643
1	1198	8526
2	3630	8478
3	5217	8478

prune237.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	250	5	255
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	254	14	268

Error

8.1b

Counts

268 → 14

Compiler

Compiled 3299 to 1662 computations (49.6% saved)

regimes4.7s (29.7%)

Accuracy

Total 4.4b remaining (33.6%)

Threshold costs 0b (0%)

Compiler

Compiled 54811 to 40269 computations (26.5% saved)

bsearch176.0ms (1.1%)

Steps

Iters	Range	Point
6	1.4699064831653196e+172	1.677761386918916e+173	1.4907683925565132e+172
7	6.450404210228373e-109	4.570909624706362e-107	5.354982071037749e-108
7	-1.34770913205467e-119	-5.7748546168283114e-121	-1.5758904391996448e-120

Iters

Range

Point

1.4699064831653196e+172

1.677761386918916e+173

1.4907683925565132e+172

6.450404210228373e-109

4.570909624706362e-107

5.354982071037749e-108

-1.34770913205467e-119

-5.7748546168283114e-121

-1.5758904391996448e-120

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
2×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	175
1	70	175
2	70	175

end3.0ms (0%)

Compiler: Compiled 115 to 67 computations (41.7% saved)

sample3.6s (22.6%)

Algorithm

1×

intervals

Results

1.4s	2737×	body	1024	valid
465.0ms	1257×	body	512	valid
419.0ms	3417×	body	128	valid
166.0ms	1398×	body	128	invalid
149.0ms	581×	body	256	valid
45.0ms	127×	body	512	invalid
29.0ms	108×	body	256	invalid
28.0ms	59×	body	1024	invalid
6.0ms	8×	body	2048	valid

Compiler

Compiled 515 to 383 computations (25.6% saved)

Details

analyze2.1s (13.4%)

sample101.0ms (0.6%)

simplify61.0ms (0.4%)

prune8.0ms (0.1%)

localize16.0ms (0.1%)

rewrite333.0ms (2.1%)

series382.0ms (2.4%)

simplify181.0ms (1.2%)

prune131.0ms (0.8%)

localize18.0ms (0.1%)

rewrite358.0ms (2.3%)

series354.0ms (2.3%)

simplify225.0ms (1.4%)

prune143.0ms (0.9%)

localize19.0ms (0.1%)

rewrite445.0ms (2.8%)

series397.0ms (2.5%)

simplify244.0ms (1.6%)

prune178.0ms (1.1%)

localize16.0ms (0.1%)

rewrite626.0ms (4%)

series488.0ms (3.1%)

simplify240.0ms (1.5%)

prune237.0ms (1.5%)

regimes4.7s (29.7%)

bsearch176.0ms (1.1%)

simplify5.0ms (0%)

end3.0ms (0%)

sample3.6s (22.6%)

Profiling