Details

analyze278.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

87×	`div-sub_binary64`
74×	`associate-/l*_binary64`
63×	`times-frac_binary64`
56×	`unsub-neg_binary64`
50×	`distribute-rgt-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64`
37×	`associate-/r*_binary64`
34×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
31×	`associate-r_binary64`
29×	`associate-l_binary64`
27×	`distribute-lft-in_binary64`
26×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
25×	`associate-/r/_binary64` `associate-*l/_binary64`
24×	`neg-sub0_binary64`
23×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
17×	`neg-mul-1_binary64`
15×	`associate--r+_binary64`
13×	`*-commutative_binary64` `+-commutative_binary64`
12×	`associate-+l-_binary64`
11×	`mul0-rgt_binary64`
10×	`remove-double-neg_binary64` `mul0-lft_binary64`
8×	`*-rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64`
7×	`/-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
6×	`sub0-neg_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `associate-+l+_binary64`
5×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
4×	`*-lft-identity_binary64` `distribute-lft-out_binary64`
3×	`distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `swap-sqr_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	5
75%	25%	0%	6
78.1%	21.9%	0%	7
78.1%	21.9%	0%	8
78.1%	21.9%	0%	9
78.1%	21.9%	0%	10
78.1%	21.9%	0%	11
78.1%	21.9%	0%	12
78.1%	21.9%	0%	13
78.1%	21.8%	0%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample55.0ms (0.7%)

Algorithm

1×

intervals

Results

27.0ms	63×	body	2048	valid
7.0ms	61×	body	512	valid
7.0ms	34×	body	1024	valid
3.0ms	74×	body	128	valid
2.0ms	23×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

87×	`div-sub_binary64`
74×	`associate-/l*_binary64`
63×	`times-frac_binary64`
56×	`unsub-neg_binary64`
50×	`distribute-rgt-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64`
37×	`associate-/r*_binary64`
34×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
31×	`associate-r_binary64`
29×	`associate-l_binary64`
27×	`distribute-lft-in_binary64`
26×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
25×	`associate-/r/_binary64` `associate-*l/_binary64`
24×	`neg-sub0_binary64`
23×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
17×	`neg-mul-1_binary64`
15×	`associate--r+_binary64`
13×	`*-commutative_binary64` `+-commutative_binary64`
12×	`associate-+l-_binary64`
11×	`mul0-rgt_binary64`
10×	`remove-double-neg_binary64` `mul0-lft_binary64`
8×	`*-rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64`
7×	`/-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
6×	`sub0-neg_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `associate-+l+_binary64`
5×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
4×	`*-lft-identity_binary64` `distribute-lft-out_binary64`
3×	`distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `swap-sqr_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.4b

Counts

1 → 1

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.9b	(-.f64 1 (cos.f64 x))
15.3b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite82.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`times-frac_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`distribute-lft-out--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
4.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 668 to 336 computations (49.7% saved)

series22.0ms (0.3%)

Error

0.7b

Counts

2 → 8

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
6.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 178 to 142 computations (20.2% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

706×	`distribute-rgt-in_binary64`
629×	`distribute-lft-in_binary64`
245×	`times-frac_binary64`
192×	`associate-l_binary64`
191×	`associate-r_binary64`
154×	`div-sub_binary64`
146×	`cancel-sign-sub-inv_binary64`
134×	`associate-/l*_binary64`
115×	`distribute-lft-neg-out_binary64`
114×	`distribute-rgt-neg-out_binary64`
111×	`associate-/r*_binary64`
105×	`distribute-rgt-neg-in_binary64`
93×	`distribute-lft-neg-in_binary64`
91×	`exp-prod_binary64` `unswap-sqr_binary64`
62×	`*-commutative_binary64`
59×	`associate-*l/_binary64`
58×	`sub-neg_binary64`
43×	`sqr-pow_binary64`
42×	`cube-prod_binary64` `associate-/l/_binary64`
38×	`associate-*r/_binary64`
37×	`neg-sub0_binary64` `unsub-neg_binary64`
36×	`distribute-rgt-out_binary64`
35×	`neg-mul-1_binary64`
32×	`distribute-neg-frac_binary64`
27×	`*-lft-identity_binary64` `associate-/r/_binary64`
24×	`*-rgt-identity_binary64` `distribute-lft-out_binary64`
23×	`swap-sqr_binary64` `+-commutative_binary64`
21×	`distribute-frac-neg_binary64`
19×	`exp-sum_binary64`
18×	`log-prod_binary64`
17×	`/-rgt-identity_binary64`
14×	`log-div_binary64`
13×	`distribute-neg-in_binary64`
11×	`cube-div_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`exp-diff_binary64` `cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
7×	`sub0-neg_binary64`
6×	`pow-plus_binary64`
5×	`unpow3_binary64` `distribute-rgt1-in_binary64` `associate-+l+_binary64`
4×	`remove-double-neg_binary64` `pow-sqr_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`sub-1-cos_binary64` `1-sub-cos_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-div_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` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

55 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	795
1	214	705
2	523	705
3	1976	705
4	4996	705

prune24.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Error

0.4b

Counts

29 → 7

Compiler

Compiled 350 to 201 computations (42.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
0.5b	(+.f64 1 (cos.f64 x))
15.1b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite165.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`div-exp_binary64` `cbrt-undiv_binary64`
11×	`pow1_binary64` `associate-/l*_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
5×	`distribute-lft-out_binary64` `associate-/r*_binary64`
4×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`sqr-sin-a_binary64` `div-sub_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `sin-mult_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
7.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
4.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
3.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 2336 to 893 computations (61.8% saved)

series56.0ms (0.7%)

Error

0.4b

Counts

4 → 16

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
13.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
8.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
7.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 526 to 374 computations (28.9% saved)

simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-*l/_binary64`
540×	`associate-/r/_binary64`
448×	`associate-*r/_binary64`
249×	`*-commutative_binary64`
244×	`log-div_binary64`
154×	`log-prod_binary64`
144×	`cube-div_binary64`
142×	`distribute-rgt-in_binary64`
141×	`associate-/l*_binary64`
128×	`distribute-lft-in_binary64`
126×	`cube-prod_binary64`
118×	`times-frac_binary64`
108×	`div-sub_binary64`
93×	`associate-/r*_binary64`
90×	`exp-prod_binary64`
82×	`associate-/l/_binary64`
67×	`associate-l_binary64`
64×	`sub-neg_binary64`
62×	`cancel-sign-sub-inv_binary64`
61×	`associate-r_binary64`
51×	`distribute-rgt-neg-in_binary64`
43×	`distribute-lft-neg-in_binary64`
42×	`associate-+l+_binary64`
34×	`unswap-sqr_binary64`
31×	`associate-+l-_binary64` `+-commutative_binary64`
27×	`sqr-pow_binary64`
25×	`associate--l+_binary64`
23×	`associate-+r+_binary64`
22×	`unpow3_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-rgt-identity_binary64`
20×	`cube-mult_binary64`
19×	`associate--l-_binary64`
18×	`log-pow_binary64` `log-rec_binary64`
15×	`/-rgt-identity_binary64` `distribute-neg-frac_binary64`
14×	`pow-plus_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
13×	`exp-diff_binary64` `*-lft-identity_binary64`
10×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sum_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
5×	`unsub-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
4×	`unpow1/2_binary64` `count-2_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `*-inverses_binary64`
1×	`cos-0_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `1-sub-cos_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `distribute-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` `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` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-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` `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-lft1-in_binary64` `distribute-lft-out_binary64`

Counts

127 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2378
1	407	1781
2	1447	1769
3	4235	1758
4	4942	1758
5	4986	1758

prune105.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	108	8	116

Error

0.0b

Counts

116 → 8

Compiler

Compiled 1523 to 789 computations (48.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))
0.1b	(/.f64 (tan.f64 (/.f64 x 2)) x)
0.5b	(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x)))

rewrite1.3s (17.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1985×	`times-frac_binary64`
858×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
108×	`div-inv_binary64`
60×	`associate-/r*_binary64`
40×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64`
28×	`div-exp_binary64`
19×	`cbrt-undiv_binary64` `associate-/l*_binary64`
16×	`associate-/r/_binary64`
3×	`pow1_binary64` `1-exp_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`associate-/l/_binary64`
1×	`tan-quot_binary64`

Counts

3 → 754

Calls

3 calls:

23.0ms	(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x)))
9.0ms	(/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))
4.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)

Compiler

Compiled 24645 to 14971 computations (39.3% saved)

series64.0ms (0.8%)

Error

Counts

3 → 12

Calls

3 calls:

20.0ms	(/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))
18.0ms	(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x)))
14.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)

Compiler

Compiled 417 to 336 computations (19.4% saved)

simplify1.2s (15.5%)

Algorithm

1×	egg-herbie

Rules

1100×	`associate-/r/_binary64`
904×	`associate-*r/_binary64`
484×	`associate-/l/_binary64`
317×	`associate-l_binary64`
298×	`associate-/l*_binary64`
255×	`times-frac_binary64`
252×	`associate-r_binary64`
94×	`unswap-sqr_binary64`
91×	`*-rgt-identity_binary64`
57×	`cancel-sign-sub-inv_binary64`
55×	`log-prod_binary64`
54×	`log-div_binary64`
47×	`sub-neg_binary64`
46×	`sqr-pow_binary64`
41×	`exp-prod_binary64` `remove-double-div_binary64`
39×	`distribute-rgt-neg-in_binary64`
34×	`distribute-lft-neg-in_binary64`
32×	`cube-prod_binary64`
31×	`cube-div_binary64`
29×	`/-rgt-identity_binary64` `distribute-rgt-in_binary64`
27×	`associate-/r*_binary64`
25×	`swap-sqr_binary64`
23×	`distribute-neg-frac_binary64`
21×	`neg-mul-1_binary64`
20×	`neg-sub0_binary64`
15×	`unpow3_binary64`
14×	`log-rec_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
11×	`log-pow_binary64` `*-commutative_binary64`
8×	`cube-unmult_binary64`
7×	`cube-mult_binary64`
6×	`unpow1/2_binary64` `pow-sqr_binary64`
5×	`associate-*l/_binary64`
4×	`div-sub_binary64` `unsub-neg_binary64`
3×	`pow-plus_binary64` `div0_binary64` `associate--r-_binary64`
2×	`associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `+-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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-rgt-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-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

766 → 699

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	976	31988
1	2183	31091
2	4810	30617
3	4468	30501
4	4939	30496
5	4998	30496
6	4960	30496

prune464.0ms (6.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	693	6	699
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	700	7	707

Error

Counts

707 → 7

Compiler

Compiled 9897 to 5513 computations (44.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (tan.f64 (/.f64 x 2)) x)
0.2b	(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x))
0.2b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)))

rewrite159.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`prod-exp_binary64`
16×	`associate-l_binary64`
14×	`associate-r_binary64`
12×	`div-exp_binary64` `cbrt-unprod_binary64`
10×	`pow1_binary64`
7×	`cbrt-undiv_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/l/_binary64`

Counts

3 → 105

Calls

3 calls:

10.0ms	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)))
7.0ms	(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x))
4.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)

Compiler

Compiled 2183 to 1371 computations (37.2% saved)

series62.0ms (0.8%)

Error

Counts

3 → 12

Calls

3 calls:

18.0ms	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)))
18.0ms	(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x))
14.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)

Compiler

Compiled 412 to 328 computations (20.4% saved)

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

807×	`times-frac_binary64`
618×	`associate-/l*_binary64`
415×	`*-commutative_binary64`
274×	`associate-/r*_binary64`
228×	`associate-r_binary64`
215×	`associate-/l/_binary64`
197×	`associate-l_binary64`
174×	`log-div_binary64`
163×	`cube-div_binary64`
159×	`log-prod_binary64`
119×	`associate-/r/_binary64`
112×	`exp-prod_binary64`
97×	`cube-prod_binary64`
96×	`sub-neg_binary64`
92×	`swap-sqr_binary64`
91×	`associate-*r/_binary64`
87×	`associate-*l/_binary64`
84×	`sqr-pow_binary64`
64×	`distribute-neg-in_binary64`
60×	`unswap-sqr_binary64`
48×	`associate-+r+_binary64`
47×	`unpow3_binary64`
45×	`associate-+l-_binary64`
43×	`cube-mult_binary64`
42×	`*-lft-identity_binary64`
39×	`associate-+r-_binary64` `associate-+l+_binary64`
37×	`cancel-sign-sub-inv_binary64`
36×	`*-rgt-identity_binary64`
32×	`/-rgt-identity_binary64`
27×	`associate--r+_binary64`
25×	`neg-mul-1_binary64`
21×	`neg-sub0_binary64` `+-commutative_binary64`
18×	`log-rec_binary64`
17×	`distribute-rgt-neg-in_binary64`
16×	`distribute-lft-neg-in_binary64`
15×	`pow-sqr_binary64`
12×	`unsub-neg_binary64`
11×	`log-pow_binary64` `associate--r-_binary64`
9×	`cube-unmult_binary64`
8×	`+-rgt-identity_binary64`
7×	`unpow1/2_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64`
6×	`pow-plus_binary64`
5×	`remove-double-div_binary64`
4×	`remove-double-neg_binary64` `+-lft-identity_binary64` `associate--l-_binary64` `associate--l+_binary64`
3×	`distribute-neg-out_binary64`
2×	`--rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `+-inverses_binary64` `distribute-rgt-out--_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-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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

117 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2388
1	372	2018
2	1381	2018
3	4073	2012
4	4714	2012
5	4995	2012
6	4955	2012

prune52.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Error

Counts

77 → 7

Compiler

Compiled 714 to 453 computations (36.6% saved)

regimes1.1s (15%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

Compiler

Compiled 14174 to 10211 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 /-rgt-identity_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17
2	12	17

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample1.9s (25.6%)

Algorithm

1×

intervals

Results

933.0ms	2060×	body	2048	valid
208.0ms	1058×	body	1024	valid
190.0ms	1501×	body	512	valid
101.0ms	2556×	body	128	valid
60.0ms	720×	body	256	valid
42.0ms	105×	body	4096	valid

Compiler

Compiled 135 to 102 computations (24.4% saved)

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12

Details

analyze278.0ms (3.7%)

sample55.0ms (0.7%)

simplify24.0ms (0.3%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite82.0ms (1.1%)

series22.0ms (0.3%)

simplify61.0ms (0.8%)

prune24.0ms (0.3%)

localize10.0ms (0.1%)

rewrite165.0ms (2.2%)

series56.0ms (0.7%)

simplify125.0ms (1.7%)

prune105.0ms (1.4%)

localize10.0ms (0.1%)

rewrite1.3s (17.7%)

series64.0ms (0.8%)

simplify1.2s (15.5%)

prune464.0ms (6.1%)

localize10.0ms (0.1%)

rewrite159.0ms (2.1%)

series62.0ms (0.8%)

simplify150.0ms (2%)

prune52.0ms (0.7%)

regimes1.1s (15%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.9s (25.6%)

Profiling

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	39	12
4	69	12
5	101	12
6	141	12
7	218	12
8	331	12
9	433	12
10	453	12
11	421	12
12	366	12