Details

analyze833.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

530×	`times-frac_binary64`
484×	`associate-l_binary64`
456×	`associate-r_binary64`
362×	`associate-/l*_binary64`
244×	`associate-/r*_binary64`
236×	`distribute-rgt-in_binary64`
222×	`distribute-lft-in_binary64`
220×	`associate-/r/_binary64`
152×	`div-sub_binary64`
144×	`unswap-sqr_binary64`
136×	`cancel-sign-sub-inv_binary64`
134×	`associate-/l/_binary64`
104×	`associate-*l/_binary64`
92×	`associate-*r/_binary64`
72×	`/-rgt-identity_binary64`
62×	`*-commutative_binary64`
44×	`*-rgt-identity_binary64`
42×	`sub-neg_binary64` `*-lft-identity_binary64`
34×	`sqr-pow_binary64`
32×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`
22×	`mul-1-neg_binary64` `pow-sqr_binary64`
20×	`unsub-neg_binary64`
14×	`+-commutative_binary64`
12×	`cube-prod_binary64` `remove-double-div_binary64`
10×	`pow-plus_binary64`
8×	`cube-unmult_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
6×	`unpow3_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
4×	`distribute-rgt-out_binary64`
2×	`unpow2_binary64` `cube-mult_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64` `associate-+r-_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` `unpow1/2_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-div_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-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` `difference-of-squares_binary64` `swap-sqr_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-lft-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	17	44
1	48	44
2	119	44
3	301	44
4	864	44
5	4464	44
6	4904	44
7	4977	44
0	2	2
1	2	2

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
3.1%	96.8%	0.1%	6
15.6%	81.2%	3.2%	7
23.4%	72.6%	4%	8
32.4%	56.2%	11.4%	9
36.3%	51.7%	12%	10
40.7%	42.9%	16.4%	11
42.6%	40.3%	17.1%	12
44.5%	35.7%	19.8%	13
45.5%	34.4%	20.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample142.0ms (1.1%)

Algorithm

1×

intervals

Results

72.0ms	56×	body	2048	valid
34.0ms	69×	body	1024	valid
8.0ms	38×	body	512	valid
5.0ms	80×	body	128	valid
4.0ms	11×	body	512	invalid
3.0ms	5×	body	1024	invalid
2.0ms	13×	body	256	valid
1.0ms	11×	body	128	invalid
1.0ms	4×	body	256	invalid
1.0ms	13×	body	128	nan

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64`
484×	`associate-/r*_binary64`
474×	`associate-*l/_binary64`
421×	`associate-/l/_binary64`
396×	`associate-*r/_binary64`
304×	`unswap-sqr_binary64`
244×	`associate-l_binary64`
229×	`associate-r_binary64`
137×	`div-sub_binary64`
130×	`associate-/l*_binary64`
118×	`distribute-rgt-in_binary64`
111×	`distribute-lft-in_binary64`
90×	`*-commutative_binary64`
65×	`cancel-sign-sub-inv_binary64`
63×	`distribute-rgt-neg-in_binary64`
58×	`neg-sub0_binary64` `*-rgt-identity_binary64`
56×	`*-lft-identity_binary64`
55×	`distribute-lft-neg-in_binary64`
51×	`distribute-neg-frac_binary64`
50×	`neg-mul-1_binary64`
45×	`sub-neg_binary64`
40×	`distribute-rgt-out_binary64`
28×	`distribute-lft-out_binary64`
27×	`unsub-neg_binary64`
25×	`sqr-pow_binary64`
21×	`cube-prod_binary64`
17×	`difference-of-sqr--1_binary64` `distribute-lft-neg-out_binary64`
15×	`pow-sqr_binary64`
13×	`unpow3_binary64`
12×	`+-commutative_binary64`
11×	`pow-plus_binary64` `mul-1-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
7×	`cube-mult_binary64` `/-rgt-identity_binary64`
5×	`cube-unmult_binary64` `difference-of-sqr-1_binary64`
4×	`distribute-rgt-out--_binary64`
3×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `div0_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `remove-double-neg_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` `unpow1/2_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-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-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_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-squares_binary64` `swap-sqr_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	29	22
2	66	22
3	158	22
4	444	22
5	1676	22
6	4664	22
7	4987	22
8	4974	22
9	5036	22

prune2.0ms (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

42.8b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.8b	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
7.9b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
9.5b	(pow.f64 (+.f64 1 (/.f64 i n)) n)

rewrite668.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

42.6b

Rules

584×	`times-frac_binary64`
486×	`add-sqr-sqrt_binary64`
367×	`*-un-lft-identity_binary64`
225×	`add-cube-cbrt_binary64`
174×	`associate-r_binary64`
168×	`difference-of-squares_binary64`
88×	`unpow-prod-down_binary64`
85×	`sqr-pow_binary64`
84×	`difference-of-sqr-1_binary64`
29×	`div-inv_binary64`
28×	`distribute-lft-out--_binary64`
19×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
13×	`associate-/l_binary64` `associate-/r_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-unpow_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`distribute-lft-out_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 451

Calls

4 calls:

57.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
18.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
10.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
7.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 10982 to 6006 computations (45.3% saved)

series290.0ms (2.2%)

Error

1.9b

Counts

4 → 47

Calls

4 calls:

81.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
74.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
45.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
40.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 3623 to 2662 computations (26.5% saved)

simplify492.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

369×	`associate-/r/_binary64`
352×	`associate-/l*_binary64`
296×	`associate-r_binary64`
226×	`associate-*r/_binary64`
211×	`associate-*l/_binary64`
197×	`associate-/l/_binary64`
182×	`associate-l_binary64`
161×	`*-commutative_binary64`
145×	`sub-neg_binary64`
121×	`associate-/r*_binary64`
116×	`times-frac_binary64`
108×	`cancel-sign-sub-inv_binary64`
100×	`div-sub_binary64` `associate--l+_binary64`
64×	`+-commutative_binary64`
44×	`exp-prod_binary64`
36×	`sqr-pow_binary64`
33×	`neg-sub0_binary64` `distribute-rgt-in_binary64`
32×	`neg-mul-1_binary64`
30×	`distribute-lft-in_binary64`
29×	`distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
27×	`log-prod_binary64`
25×	`distribute-lft-neg-in_binary64`
24×	`log-div_binary64` `distribute-neg-in_binary64`
15×	`distribute-rgt-out_binary64`
14×	`exp-diff_binary64`
13×	`/-rgt-identity_binary64`
12×	`log-pow_binary64`
11×	`associate--r+_binary64`
9×	`unswap-sqr_binary64` `distribute-lft-out_binary64`
8×	`pow-sqr_binary64`
7×	`log-rec_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-neg-frac_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `cube-prod_binary64` `associate--r-_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64`
3×	`pow-base-1_binary64` `exp-sum_binary64` `cube-mult_binary64` `remove-double-div_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
2×	`rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_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` `pow-plus_binary64` `exp-to-pow_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-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-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

498 → 475

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	586	16384
1	1634	15947
2	4882	15947
3	4998	15947
4	4946	15947

prune301.0ms (2.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	467	8	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	8	476

Error

0.5b

Counts

476 → 8

Compiler

Compiled 8876 to 4634 computations (47.8% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 100 (*.f64 i 50))
0.0b	(-.f64 (.f64 n (+.f64 100 (.f64 i 50))) (*.f64 i 50))
0.3b	(.f64 n (+.f64 100 (.f64 i 50)))

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 47

Calls

3 calls:

5.0ms	(-.f64 (.f64 n (+.f64 100 (.f64 i 50))) (*.f64 i 50))
5.0ms	(.f64 n (+.f64 100 (.f64 i 50)))
3.0ms	(+.f64 100 (*.f64 i 50))

Compiler

Compiled 883 to 674 computations (23.7% saved)

series68.0ms (0.5%)

Error

0.5b

Counts

3 → 27

Calls

3 calls:

30.0ms	(-.f64 (.f64 n (+.f64 100 (.f64 i 50))) (*.f64 i 50))
20.0ms	(.f64 n (+.f64 100 (.f64 i 50)))
9.0ms	(+.f64 100 (*.f64 i 50))

Compiler

Compiled 561 to 479 computations (14.6% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

359×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`
293×	`distribute-neg-in_binary64`
286×	`unswap-sqr_binary64`
270×	`sub-neg_binary64`
255×	`+-commutative_binary64`
202×	`*-commutative_binary64`
193×	`times-frac_binary64`
164×	`cancel-sign-sub-inv_binary64`
138×	`unsub-neg_binary64`
115×	`neg-mul-1_binary64`
112×	`sqr-pow_binary64`
109×	`neg-sub0_binary64`
94×	`associate-l_binary64`
93×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
92×	`associate-+l+_binary64`
91×	`associate-+r+_binary64`
89×	`exp-prod_binary64`
80×	`distribute-rgt-out_binary64`
79×	`distribute-lft-neg-in_binary64`
76×	`associate-r_binary64`
53×	`associate--r+_binary64`
46×	`exp-sum_binary64`
38×	`distribute-lft-neg-out_binary64`
35×	`associate-+l-_binary64`
34×	`swap-sqr_binary64`
32×	`*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
31×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
28×	`sub0-neg_binary64`
26×	`exp-diff_binary64` `difference-of-squares_binary64`
25×	`pow-sqr_binary64`
24×	`associate-+r-_binary64`
22×	`distribute-rgt-out--_binary64`
21×	`+-rgt-identity_binary64`
19×	`associate-/l*_binary64`
13×	`cube-prod_binary64`
12×	`associate-/r*_binary64`
11×	`cancel-sign-sub_binary64`
10×	`log-prod_binary64`
9×	`distribute-lft-out_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
5×	`unpow3_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate-*r/_binary64`
4×	`unpow1/2_binary64` `div-sub_binary64` `distribute-rgt1-in_binary64`
3×	`div-exp_binary64` `cube-mult_binary64` `distribute-frac-neg_binary64` `associate-*l/_binary64`
2×	`prod-exp_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`

Counts

74 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1015
1	243	967
2	775	955
3	2156	955
4	3114	955
5	5166	955

prune46.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	48	11	59

Error

0.5b

Counts

59 → 11

Compiler

Compiled 926 to 695 computations (24.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50))) (*.f64 i 50))
0.1b	(.f64 i (.f64 i 2500))
3.6b	(.f64 n (-.f64 10000 (.f64 i (*.f64 i 2500))))
7.3b	(/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50)))

rewrite129.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`flip3--_binary64` `associate-r/_binary64` `flip--_binary64` `pow-prod-down_binary64` `associate-r*_binary64`
3×	`times-frac_binary64` `associate-/r*_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `unswap-sqr_binary64` `diff-log_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(-.f64 (/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50))) (*.f64 i 50))
8.0ms	(/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50)))
6.0ms	(.f64 n (-.f64 10000 (.f64 i (*.f64 i 2500))))
5.0ms	(.f64 i (.f64 i 2500))

Compiler

Compiled 2218 to 1655 computations (25.4% saved)

series158.0ms (1.2%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

68.0ms	(-.f64 (/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50))) (*.f64 i 50))
38.0ms	(/.f64 (.f64 n (-.f64 10000 (.f64 i (.f64 i 2500)))) (-.f64 100 (.f64 i 50)))
27.0ms	(.f64 n (-.f64 10000 (.f64 i (*.f64 i 2500))))
8.0ms	(.f64 i (.f64 i 2500))

Compiler

Compiled 1202 to 1028 computations (14.5% saved)

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

621×	`times-frac_binary64`
373×	`distribute-rgt-in_binary64`
363×	`distribute-lft-in_binary64`
213×	`cancel-sign-sub-inv_binary64`
209×	`distribute-rgt-neg-in_binary64`
205×	`associate-l_binary64`
182×	`associate-r_binary64`
178×	`distribute-lft-neg-in_binary64`
104×	`associate-/l*_binary64`
102×	`*-commutative_binary64`
98×	`log-prod_binary64`
65×	`div-sub_binary64`
61×	`sub-neg_binary64`
51×	`distribute-neg-frac_binary64`
49×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
44×	`neg-sub0_binary64` `sqr-pow_binary64`
41×	`exp-prod_binary64` `neg-mul-1_binary64`
40×	`log-div_binary64`
37×	`distribute-rgt-out_binary64`
34×	`+-commutative_binary64`
32×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
31×	`swap-sqr_binary64`
27×	`cube-div_binary64`
25×	`*-rgt-identity_binary64` `unswap-sqr_binary64`
24×	`associate-/l/_binary64`
21×	`distribute-neg-in_binary64` `associate-/r*_binary64`
18×	`associate-/r/_binary64`
17×	`exp-sum_binary64` `*-lft-identity_binary64`
12×	`unpow3_binary64`
11×	`/-rgt-identity_binary64`
10×	`distribute-lft-out_binary64`
8×	`unsub-neg_binary64`
7×	`exp-diff_binary64` `cube-mult_binary64` `associate-+l+_binary64`
6×	`log-rec_binary64`
5×	`pow-sqr_binary64` `associate-+r+_binary64`
4×	`distribute-rgt-out--_binary64` `associate--l+_binary64`
3×	`log-pow_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--r+_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

112 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2248
1	496	2072
2	1802	2031
3	4958	2031
4	4953	2031

prune78.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	100	10	110

Error

0.5b

Counts

110 → 10

Compiler

Compiled 1834 to 1306 computations (28.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(sqrt.f64 (-.f64 100 (*.f64 i 50)))
0.3b	(sqrt.f64 (-.f64 100 (*.f64 i 50)))
2.8b	(/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50))))
3.4b	(.f64 (/.f64 n (sqrt.f64 (-.f64 100 (.f64 i 50)))) (/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50)))))

rewrite237.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

79×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
42×	`sqrt-prod_binary64`
24×	`associate-l_binary64` `associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64`
6×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `associate-/r*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`div-inv_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 151

Calls

4 calls:

24.0ms	(.f64 (/.f64 n (sqrt.f64 (-.f64 100 (.f64 i 50)))) (/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50)))))
7.0ms	(/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50))))
3.0ms	(sqrt.f64 (-.f64 100 (*.f64 i 50)))
3.0ms	(sqrt.f64 (-.f64 100 (*.f64 i 50)))

Compiler

Compiled 5471 to 4156 computations (24% saved)

series89.0ms (0.7%)

Error

0.5b

Counts

4 → 25

Calls

4 calls:

39.0ms	(.f64 (/.f64 n (sqrt.f64 (-.f64 100 (.f64 i 50)))) (/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50)))))
12.0ms	(sqrt.f64 (-.f64 100 (*.f64 i 50)))
10.0ms	(sqrt.f64 (-.f64 100 (*.f64 i 50)))
10.0ms	(/.f64 (-.f64 10000 (.f64 2500 (.f64 i i))) (sqrt.f64 (-.f64 100 (*.f64 i 50))))

Compiler

Compiled 1142 to 944 computations (17.3% saved)

simplify225.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

384×	`associate-/l/_binary64`
281×	`distribute-rgt-in_binary64`
271×	`distribute-lft-in_binary64`
236×	`times-frac_binary64`
228×	`associate-/r/_binary64`
182×	`associate-/l*_binary64`
156×	`associate-*r/_binary64`
149×	`associate-l_binary64`
137×	`*-commutative_binary64`
131×	`associate-*l/_binary64`
122×	`associate-r_binary64`
108×	`cancel-sign-sub-inv_binary64`
75×	`distribute-rgt-neg-in_binary64`
65×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
59×	`div-sub_binary64`
50×	`sub-neg_binary64`
47×	`log-prod_binary64`
46×	`log-div_binary64`
39×	`exp-prod_binary64`
35×	`distribute-rgt-out_binary64`
30×	`exp-sum_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-out_binary64`
26×	`-rgt-identity_binary64` `associate-/r_binary64`
24×	`+-commutative_binary64`
23×	`distribute-rgt-neg-out_binary64`
21×	`*-lft-identity_binary64`
20×	`sqr-pow_binary64`
19×	`distribute-neg-in_binary64`
18×	`swap-sqr_binary64` `distribute-lft-out_binary64`
13×	`unpow3_binary64`
12×	`cube-div_binary64` `cube-prod_binary64`
11×	`cube-mult_binary64` `associate-+l+_binary64`
10×	`unswap-sqr_binary64`
9×	`/-rgt-identity_binary64`
8×	`exp-diff_binary64` `cube-unmult_binary64` `associate--r+_binary64`
7×	`associate-+r+_binary64`
5×	`unsub-neg_binary64`
4×	`associate-+l-_binary64`
3×	`log-rec_binary64` `pow-plus_binary64` `associate-+r-_binary64`
2×	`unpow1/2_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `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` `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` `mul-1-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` `count-2_binary64` `associate--l-_binary64`

Counts

176 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	5738
1	592	5060
2	1927	4974
3	4804	4974
4	4992	4974
5	4937	4974

prune310.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	110	10	120

Error

0.5b

Counts

120 → 10

Compiler

Compiled 2679 to 1992 computations (25.6% saved)

regimes3.4s (26%)

Accuracy

Total 11.1b remaining (94.9%)

Threshold costs 0b (0%)

Compiler

Compiled 31230 to 22974 computations (26.4% saved)

bsearch156.0ms (1.2%)

Steps

Iters	Range		Point
10	1.4189470685179036e+217	2.40600927642737e+232	1.4026681787903786e+231
5	3.5648514821982547e-12	1.2115655670740352e-11	8.431981695178327e-12
10	-204398.9753028766	-2.330216789903324e-06	-3.311639244018977e-06

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64`
5×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	142
1	82	142
2	91	142
3	101	142
4	116	142
5	128	142
6	134	142
7	137	142
8	138	142
9	136	142

end2.0ms (0%)

Compiler: Compiled 94 to 57 computations (39.4% saved)

sample5.0s (38.4%)

Algorithm

1×

intervals

Results

2.1s	1764×	body	2048	valid
1.4s	2668×	body	1024	valid
278.0ms	1175×	body	512	valid
113.0ms	1788×	body	128	valid
112.0ms	183×	body	1024	invalid
91.0ms	250×	body	512	invalid
78.0ms	576×	body	256	valid
60.0ms	29×	body	4096	valid
39.0ms	442×	body	128	invalid
32.0ms	146×	body	256	invalid
19.0ms	20×	body	2048	invalid
13.0ms	312×	body	128	nan

Compiler

Compiled 406 to 288 computations (29.1% saved)

Iter	Nodes	Cost
0	53	142
1	82	142
2	91	142
3	101	142
4	116	142
5	128	142
6	134	142
7	137	142
8	138	142
9	136	142

Iter	Nodes	Cost
0	53	142
1	82	142
2	91	142
3	101	142
4	116	142
5	128	142
6	134	142
7	137	142
8	138	142
9	136	142

Details

analyze833.0ms (6.4%)

sample142.0ms (1.1%)

simplify78.0ms (0.6%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite668.0ms (5.1%)

series290.0ms (2.2%)

simplify492.0ms (3.8%)

prune301.0ms (2.3%)

localize6.0ms (0%)

rewrite64.0ms (0.5%)

series68.0ms (0.5%)

simplify81.0ms (0.6%)

prune46.0ms (0.4%)

localize11.0ms (0.1%)

rewrite129.0ms (1%)

series158.0ms (1.2%)

simplify113.0ms (0.9%)

prune78.0ms (0.6%)

localize13.0ms (0.1%)

rewrite237.0ms (1.8%)

series89.0ms (0.7%)

simplify225.0ms (1.7%)

prune310.0ms (2.4%)

regimes3.4s (26%)

bsearch156.0ms (1.2%)

simplify11.0ms (0.1%)

end2.0ms (0%)

sample5.0s (38.4%)

Profiling

Iter	Nodes	Cost
0	53	142
1	82	142
2	91	142
3	101	142
4	116	142
5	128	142
6	134	142
7	137	142
8	138	142
9	136	142