Details

analyze31.0ms (0.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

44×	`sub-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
28×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
25×	`associate--r+_binary64`
21×	`associate--r-_binary64`
16×	`neg-mul-1_binary64`
15×	`associate-+l-_binary64` `+-commutative_binary64`
14×	`distribute-neg-in_binary64`
13×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
11×	`neg-sub0_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`sub0-neg_binary64` `*-commutative_binary64`
7×	`associate-+r-_binary64` `associate-+r+_binary64`
6×	`distribute-lft-neg-in_binary64` `associate--l-_binary64` `associate-+l+_binary64`
5×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
4×	`+-rgt-identity_binary64`
3×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
2×	`remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	48×	body	1024	valid
5.0ms	150×	body	128	valid
4.0ms	41×	body	512	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
28×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
25×	`associate--r+_binary64`
21×	`associate--r-_binary64`
16×	`neg-mul-1_binary64`
15×	`associate-+l-_binary64` `+-commutative_binary64`
14×	`distribute-neg-in_binary64`
13×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
11×	`neg-sub0_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`sub0-neg_binary64` `*-commutative_binary64`
7×	`associate-+r-_binary64` `associate-+r+_binary64`
6×	`distribute-lft-neg-in_binary64` `associate--l-_binary64` `associate-+l+_binary64`
5×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
4×	`+-rgt-identity_binary64`
3×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
2×	`remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.9b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.6b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite299.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

Rules

112×	`*-un-lft-identity_binary64`
74×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
26×	`cancel-sign-sub-inv_binary64`
18×	`distribute-lft-out--_binary64`
17×	`distribute-lft-out_binary64`
14×	`associate-+l+_binary64` `difference-of-squares_binary64`
12×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `associate-/r*_binary64`
10×	`div-inv_binary64`
8×	`add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`div-exp_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
3×	`frac-add_binary64` `flip3--_binary64` `flip--_binary64`
2×	`diff-log_binary64` `sum-log_binary64` `frac-sub_binary64` `flip3-+_binary64` `flip-+_binary64` `sub-neg_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 161

Calls

4 calls:

46.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3271 to 2646 computations (19.1% saved)

series93.0ms (2.1%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

21.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
14.0ms	(/.f64 1 (+.f64 x 1))
13.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
12.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1437 to 1208 computations (15.9% saved)

simplify142.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

360×	`distribute-rgt-in_binary64`
305×	`associate-/l*_binary64`
287×	`associate-*l/_binary64`
280×	`distribute-lft-in_binary64`
236×	`times-frac_binary64`
193×	`div-sub_binary64`
189×	`associate-/r*_binary64`
161×	`cancel-sign-sub-inv_binary64`
135×	`sub-neg_binary64`
119×	`distribute-rgt-neg-in_binary64`
108×	`exp-prod_binary64`
103×	`+-commutative_binary64`
99×	`associate-/l/_binary64`
95×	`distribute-neg-in_binary64`
92×	`*-commutative_binary64`
87×	`associate-/r/_binary64`
85×	`neg-sub0_binary64` `distribute-lft-neg-in_binary64`
83×	`neg-mul-1_binary64`
76×	`distribute-neg-frac_binary64`
58×	`associate-*r/_binary64`
57×	`cube-prod_binary64`
54×	`distribute-rgt-out_binary64`
51×	`associate-l_binary64` `associate-+r+_binary64`
49×	`unsub-neg_binary64`
47×	`associate-+l+_binary64`
46×	`distribute-lft-out_binary64`
43×	`associate-r_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`cube-div_binary64`
39×	`exp-sum_binary64`
37×	`sqr-pow_binary64`
33×	`associate--r+_binary64`
29×	`distribute-rgt-neg-out_binary64`
27×	`*-rgt-identity_binary64`
17×	`exp-diff_binary64` `*-lft-identity_binary64` `associate--l+_binary64`
16×	`distribute-frac-neg_binary64` `associate-+r-_binary64`
13×	`div-exp_binary64` `distribute-rgt-out--_binary64`
12×	`swap-sqr_binary64`
11×	`unpow3_binary64` `/-rgt-identity_binary64`
10×	`unswap-sqr_binary64`
9×	`log-prod_binary64`
8×	`prod-exp_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64`
7×	`+-rgt-identity_binary64` `distribute-lft-out--_binary64`
6×	`log-div_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
5×	`difference-of-squares_binary64`
4×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64`
3×	`log-rec_binary64`
2×	`unpow1_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`

Counts

209 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	3436
1	710	3348
2	1967	3305
3	4541	3303
4	5060	3303

prune94.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	4	174

Error

0.2b

Counts

174 → 4

Compiler

Compiled 2038 to 1600 computations (21.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
0.0b	(-.f64 x (+.f64 2 (*.f64 x 2)))
13.6b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite187.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

25×	`cancel-sign-sub-inv_binary64`
23×	`*-un-lft-identity_binary64`
19×	`flip3-+_binary64` `flip-+_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-log-exp_binary64` `frac-add_binary64`
12×	`frac-times_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64`
11×	`add-cube-cbrt_binary64`
10×	`flip3--_binary64` `flip--_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
5×	`sum-log_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`+-commutative_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-+r+_binary64` `associate--r+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
12.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
6.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 4755 to 2770 computations (41.7% saved)

series53.0ms (1.2%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

17.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
12.0ms	(+.f64 x (*.f64 x x))
10.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
5.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 836 to 574 computations (31.3% saved)

simplify176.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

456×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
398×	`associate-l_binary64`
362×	`associate-r_binary64`
236×	`distribute-rgt-neg-out_binary64`
232×	`distribute-lft-neg-out_binary64`
222×	`*-commutative_binary64`
195×	`cancel-sign-sub-inv_binary64`
161×	`exp-prod_binary64`
100×	`distribute-rgt-neg-in_binary64`
78×	`distribute-lft-neg-in_binary64`
73×	`sub-neg_binary64`
72×	`+-commutative_binary64`
68×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
65×	`associate-+l+_binary64`
63×	`associate-+r+_binary64`
58×	`exp-sum_binary64`
53×	`unsub-neg_binary64`
41×	`log-prod_binary64`
39×	`neg-sub0_binary64`
38×	`sqr-pow_binary64`
37×	`exp-diff_binary64`
36×	`cube-prod_binary64`
32×	`neg-mul-1_binary64`
31×	`exp-neg_binary64`
30×	`*-lft-identity_binary64`
26×	`swap-sqr_binary64`
24×	`*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
22×	`unpow3_binary64`
21×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64`
19×	`associate--r+_binary64`
16×	`prod-exp_binary64`
13×	`cube-mult_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
11×	`pow-plus_binary64`
8×	`div-exp_binary64` `cube-unmult_binary64`
7×	`exp-lft-sqr_binary64`
6×	`associate-+r-_binary64`
5×	`div-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `associate-/r*_binary64` `associate--l+_binary64` `associate-+l-_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64`
1×	`unpow2_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_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` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

140 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4159
1	810	3780
2	3279	3261
3	4673	3261
4	4995	3261
5	4938	3261

prune89.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	119	2	121

Error

0.2b

Counts

121 → 2

Compiler

Compiled 2796 to 1643 computations (41.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) 3)) (-.f64 (pow.f64 x 3) x))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(*.f64 (-.f64 -2 x) (+.f64 x -1))
13.6b	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))

rewrite389.0ms (9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

179×	`add-sqr-sqrt_binary64`
135×	`times-frac_binary64`
120×	`cbrt-prod_binary64`
115×	`*-un-lft-identity_binary64`
65×	`difference-of-squares_binary64`
62×	`add-cube-cbrt_binary64`
46×	`unpow-prod-down_binary64` `cube-prod_binary64`
34×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-add_binary64`
26×	`sqr-pow_binary64` `unpow3_binary64`
20×	`frac-times_binary64`
18×	`cube-div_binary64` `cbrt-div_binary64` `associate-/l/_binary64`
17×	`distribute-lft-out--_binary64`
16×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-out--_binary64`
15×	`associate-/l*_binary64`
11×	`add-log-exp_binary64`
10×	`associate-l/_binary64` `associate-r/_binary64` `cube-mult_binary64`
9×	`associate-/r*_binary64`
8×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64` `associate-r_binary64`
4×	`sum-log_binary64`
2×	`distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64` `+-commutative_binary64` `associate-/r/_binary64`
1×	`associate-+l+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 267

Calls

4 calls:

22.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) 3)) (-.f64 (pow.f64 x 3) x))
12.0ms	(*.f64 (-.f64 -2 x) (+.f64 x -1))
8.0ms	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 10031 to 5752 computations (42.7% saved)

series72.0ms (1.7%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

19.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) 3)) (-.f64 (pow.f64 x 3) x))
17.0ms	(*.f64 (-.f64 -2 x) (+.f64 x -1))
12.0ms	(+.f64 x (*.f64 x x))
6.0ms	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))

Compiler

Compiled 989 to 780 computations (21.1% saved)

simplify223.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

507×	`distribute-rgt-in_binary64`
488×	`distribute-lft-in_binary64`
350×	`associate-r_binary64`
348×	`associate-l_binary64`
106×	`*-commutative_binary64`
101×	`associate-/l/_binary64`
86×	`associate-/l*_binary64`
80×	`sqr-pow_binary64`
57×	`cube-prod_binary64`
49×	`cancel-sign-sub-inv_binary64`
47×	`+-commutative_binary64`
46×	`associate-/r*_binary64`
45×	`sub-neg_binary64` `swap-sqr_binary64`
40×	`unpow3_binary64`
38×	`cube-mult_binary64`
33×	`associate-/r/_binary64`
32×	`times-frac_binary64`
28×	`distribute-rgt-neg-in_binary64`
24×	`distribute-lft-neg-in_binary64`
23×	`distribute-neg-in_binary64`
22×	`rem-cbrt-cube_binary64`
21×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64`
16×	`associate-l/_binary64` `associate-r/_binary64`
14×	`distribute-rgt-out_binary64`
13×	`distribute-lft-out_binary64`
12×	`unswap-sqr_binary64`
11×	`/-rgt-identity_binary64`
9×	`exp-prod_binary64` `div-sub_binary64` `mul-1-neg_binary64`
7×	`log-prod_binary64` `unsub-neg_binary64` `distribute-lft-neg-out_binary64`
6×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64` `associate-+r+_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`cube-div_binary64`
3×	`prod-exp_binary64` `exp-sum_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
2×	`log-div_binary64` `pow-plus_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-cube-cbrt_binary64` `*-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `associate--l+_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-rec_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

297 → 252

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	13643
1	1145	12433
2	5050	12433

prune174.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	250	4	254

Error

0.2b

Counts

254 → 4

Compiler

Compiled 6162 to 3561 computations (42.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(*.f64 (-.f64 -2 x) (+.f64 x -1))
0.0b	(/.f64 (/.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) x) (-.f64 (*.f64 x x) 1))
13.6b	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))

rewrite259.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

141×	`times-frac_binary64`
88×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
69×	`add-cube-cbrt_binary64`
29×	`difference-of-squares_binary64`
19×	`flip3-+_binary64` `flip-+_binary64`
16×	`frac-add_binary64`
14×	`difference-of-sqr-1_binary64`
13×	`associate-/l*_binary64`
12×	`frac-times_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`div-inv_binary64`
6×	`pow1_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-/r*_binary64`
5×	`associate-l_binary64` `associate-r_binary64`
4×	`sum-log_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64` `+-commutative_binary64` `associate-/r/_binary64`
1×	`associate-+l+_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`

Counts

4 → 190

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) x) (-.f64 (*.f64 x x) 1))
9.0ms	(*.f64 (-.f64 -2 x) (+.f64 x -1))
8.0ms	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 7228 to 3729 computations (48.4% saved)

series64.0ms (1.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1))) x) (-.f64 (*.f64 x x) 1))
16.0ms	(*.f64 (-.f64 -2 x) (+.f64 x -1))
13.0ms	(+.f64 x (*.f64 x x))
4.0ms	(+.f64 (+.f64 x (.f64 x x)) (.f64 (-.f64 -2 x) (+.f64 x -1)))

Compiler

Compiled 953 to 687 computations (27.9% saved)

simplify210.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

450×	`times-frac_binary64`
436×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
225×	`*-commutative_binary64`
222×	`associate-/l/_binary64`
206×	`associate-r_binary64`
201×	`associate-l_binary64`
126×	`associate-/r*_binary64`
98×	`div-sub_binary64`
85×	`+-commutative_binary64`
81×	`associate-/l*_binary64`
57×	`neg-sub0_binary64`
53×	`associate-/r/_binary64`
49×	`sub-neg_binary64` `associate-+l+_binary64`
48×	`neg-mul-1_binary64`
42×	`cancel-sign-sub-inv_binary64` `associate-*l/_binary64` `associate-+r+_binary64`
28×	`associate-*r/_binary64`
27×	`exp-prod_binary64`
26×	`distribute-rgt-neg-in_binary64`
23×	`distribute-neg-in_binary64`
22×	`distribute-lft-neg-in_binary64`
21×	`log-prod_binary64`
20×	`exp-sum_binary64` `cube-prod_binary64` `sqr-pow_binary64`
16×	`log-div_binary64` `associate--r+_binary64`
15×	`/-rgt-identity_binary64`
13×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
9×	`mul-1-neg_binary64`
8×	`exp-diff_binary64` `cube-div_binary64`
7×	`unpow3_binary64` `unsub-neg_binary64` `distribute-lft-neg-out_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
5×	`prod-exp_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
4×	`*-rgt-identity_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64`
3×	`*-lft-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64`
2×	`difference-of-sqr-1_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64` `pow-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` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

220 → 179

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	389	9208
1	1111	8785
2	3969	8785
3	4951	8785

prune141.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	180	3	183

Error

0.2b

Counts

183 → 3

Compiler

Compiled 5070 to 2705 computations (46.6% saved)

regimes664.0ms (15.3%)

Accuracy

Total -0.2b remaining (-314.7%)

Threshold costs -0.2b (-314.7%)

Compiler

Compiled 10647 to 8327 computations (21.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_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 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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	14	13
3	12	13

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample875.0ms (20.2%)

Algorithm

1×

intervals

Results

172.0ms	1248×	body	1024	valid
170.0ms	4481×	body	128	valid
163.0ms	1530×	body	512	valid
51.0ms	741×	body	256	valid

Compiler

Compiled 101 to 84 computations (16.8% saved)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22
0	1	1
1	1	1

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22
0	1	1
1	1	1

Details

analyze31.0ms (0.7%)

sample24.0ms (0.6%)

simplify16.0ms (0.4%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite299.0ms (6.9%)

series93.0ms (2.1%)

simplify142.0ms (3.3%)

prune94.0ms (2.2%)

localize13.0ms (0.3%)

rewrite187.0ms (4.3%)

series53.0ms (1.2%)

simplify176.0ms (4.1%)

prune89.0ms (2.1%)

localize13.0ms (0.3%)

rewrite389.0ms (9%)

series72.0ms (1.7%)

simplify223.0ms (5.1%)

prune174.0ms (4%)

localize14.0ms (0.3%)

rewrite259.0ms (6%)

series64.0ms (1.5%)

simplify210.0ms (4.9%)

prune141.0ms (3.2%)

regimes664.0ms (15.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample875.0ms (20.2%)

Profiling

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	59	22
4	101	22
5	165	22
6	198	22
7	217	22
8	216	22
9	192	22
0	1	1
1	1	1