Details

analyze143.0ms (2.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

868×	`unswap-sqr_binary64`
394×	`associate-l_binary64`
352×	`exp-prod_binary64`
334×	`distribute-neg-frac_binary64`
316×	`associate-/l/_binary64`
260×	`associate-r_binary64`
254×	`associate-/r/_binary64`
240×	`sqr-pow_binary64`
224×	`associate-/l_binary64` `-commutative_binary64`
152×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
150×	`times-frac_binary64`
142×	`div-sub_binary64`
134×	`associate-/r*_binary64`
114×	`pow-plus_binary64`
110×	`exp-diff_binary64`
108×	`associate-*l/_binary64`
106×	`cube-prod_binary64`
102×	`pow-sqr_binary64`
100×	`distribute-rgt-neg-in_binary64`
82×	`distribute-lft-neg-in_binary64`
64×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`
60×	`exp-sqrt_binary64`
54×	`unpow3_binary64`
52×	`prod-exp_binary64` `rem-sqrt-square_binary64`
44×	`swap-sqr_binary64`
34×	`sub-neg_binary64`
28×	`cube-mult_binary64`
26×	`exp-lft-sqr_binary64` `cube-unmult_binary64`
24×	`distribute-rgt-out_binary64`
20×	`unpow2_binary64` `*-lft-identity_binary64`
14×	`unpow1_binary64` `exp-sum_binary64` `*-rgt-identity_binary64`
12×	`div-exp_binary64` `distribute-rgt-in_binary64`
10×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
8×	`unpow1/2_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`rec-exp_binary64` `remove-double-neg_binary64`
4×	`fabs-mul_binary64` `sub0-neg_binary64` `remove-double-div_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-in_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`
2×	`unpow-1_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	29	30
2	41	30
3	56	30
4	99	30
5	196	30
6	419	30
7	1110	30
8	2748	30
9	3722	30
10	4852	30
11	4864	30
12	4987	30
13	4999	30
14	4811	30
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample31.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	60×	body	1024	valid
4.0ms	143×	body	128	valid
3.0ms	29×	body	512	valid
2.0ms	7×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
351×	`associate-/l*_binary64`
345×	`exp-prod_binary64`
324×	`distribute-neg-frac_binary64`
252×	`*-commutative_binary64`
197×	`associate-l_binary64`
158×	`associate-/l/_binary64`
138×	`prod-exp_binary64`
132×	`exp-diff_binary64`
130×	`associate-r_binary64`
127×	`associate-/r/_binary64`
120×	`distribute-rgt-neg-in_binary64`
113×	`sqr-pow_binary64`
101×	`rec-exp_binary64`
98×	`div-sub_binary64`
87×	`cancel-sign-sub-inv_binary64`
82×	`sub-neg_binary64`
77×	`distribute-lft-neg-in_binary64`
76×	`associate-*r/_binary64`
73×	`cube-prod_binary64`
70×	`div-exp_binary64`
67×	`associate-/r*_binary64`
66×	`pow-plus_binary64`
56×	`rem-sqrt-square_binary64`
51×	`fabs-mul_binary64`
48×	`pow-sqr_binary64`
44×	`exp-sum_binary64` `neg-mul-1_binary64`
41×	`exp-sqrt_binary64`
40×	`neg-sub0_binary64`
34×	`unpow3_binary64`
30×	`unsub-neg_binary64`
28×	`distribute-rgt-out_binary64`
26×	`distribute-rgt-in_binary64`
23×	`*-rgt-identity_binary64`
22×	`swap-sqr_binary64`
20×	`cube-mult_binary64`
18×	`exp-lft-sqr_binary64`
16×	`cube-unmult_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`associate-+l-_binary64`
11×	`associate-+r-_binary64`
10×	`unpow2_binary64` `*-lft-identity_binary64`
9×	`distribute-lft-out_binary64` `associate--l-_binary64`
8×	`remove-double-div_binary64`
7×	`distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--r+_binary64`
6×	`unpow1_binary64` `fabs-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`distribute-lft-in_binary64` `associate--l+_binary64`
3×	`remove-double-neg_binary64`
2×	`unpow1/2_binary64` `unpow-1_binary64` `fabs-sqr_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_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` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	33	15
4	57	15
5	109	15
6	227	15
7	585	15
8	1455	15
9	2454	15
10	4306	15
11	4537	15
12	4924	15
13	4813	15

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

28.3b

Counts

1 → 1

Compiler

Compiled 10 to 11 computations (-10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.2b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite97.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

24×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-/r*_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

2 → 54

Calls

2 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Compiler

Compiled 956 to 874 computations (8.6% saved)

series28.0ms (0.5%)

Error

0.0b

Counts

2 → 8

Calls

2 calls:

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

Compiler

Compiled 166 to 173 computations (-4.2% saved)

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

646×	`distribute-rgt-in_binary64`
496×	`distribute-lft-in_binary64`
339×	`times-frac_binary64`
284×	`associate-l_binary64`
260×	`distribute-rgt-out_binary64`
213×	`associate-r_binary64`
198×	`unswap-sqr_binary64`
153×	`div-sub_binary64`
142×	`distribute-lft-out_binary64`
133×	`associate-/l*_binary64`
95×	`associate-/r*_binary64`
94×	`associate-/l/_binary64`
92×	`*-commutative_binary64`
89×	`associate-+l+_binary64`
88×	`associate-+r+_binary64`
87×	`distribute-rgt-neg-in_binary64`
79×	`sub-neg_binary64`
75×	`distribute-lft-neg-in_binary64`
74×	`cancel-sign-sub-inv_binary64`
70×	`associate-*l/_binary64`
68×	`sqr-pow_binary64`
46×	`cube-prod_binary64`
42×	`unsub-neg_binary64`
41×	`associate-/r/_binary64`
40×	`associate-*r/_binary64`
37×	`exp-prod_binary64` `distribute-rgt1-in_binary64` `+-commutative_binary64`
31×	`exp-sum_binary64` `*-rgt-identity_binary64`
30×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
26×	`*-lft-identity_binary64`
25×	`distribute-lft-neg-out_binary64`
23×	`distribute-rgt-neg-out_binary64`
21×	`log-prod_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64`
20×	`cube-div_binary64`
19×	`log-div_binary64` `unpow3_binary64` `cube-unmult_binary64`
18×	`prod-exp_binary64`
16×	`pow-sqr_binary64` `associate-+r-_binary64`
13×	`pow-plus_binary64`
12×	`mul-1-neg_binary64`
11×	`/-rgt-identity_binary64`
9×	`difference-of-sqr-1_binary64`
8×	`rem-sqrt-square_binary64` `sub0-neg_binary64`
7×	`cube-mult_binary64` `distribute-neg-frac_binary64`
5×	`log-rec_binary64` `div-exp_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
4×	`exp-lft-sqr_binary64` `fabs-mul_binary64` `difference-of-sqr--1_binary64` `swap-sqr_binary64` `associate--l+_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
2×	`unpow1_binary64` `unpow-1_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `sqr-neg_binary64` `remove-double-div_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `+-lft-identity_binary64` `+-inverses_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

62 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1230
1	203	1185
2	427	1174
3	918	1171
4	2179	1171
5	4662	1171
6	4876	1171

prune62.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Error

27.8b

Counts

55 → 5

Compiler

Compiled 805 to 742 computations (7.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))
3.2b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))) -1)

rewrite356.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

77×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
23×	`distribute-lft-out_binary64`
12×	`difference-of-sqr--1_binary64`
11×	`pow1_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
9×	`associate-/l*_binary64`
8×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64`
4×	`associate-/r/_binary64` `frac-times_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

4 → 137

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))
16.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))) -1)
10.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 5024 to 4509 computations (10.3% saved)

series93.0ms (1.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

29.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))
18.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))) -1)
12.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
11.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 959 to 914 computations (4.7% saved)

simplify166.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

571×	`times-frac_binary64`
450×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
377×	`associate-/l*_binary64`
209×	`exp-prod_binary64`
154×	`associate-/l/_binary64`
128×	`cancel-sign-sub-inv_binary64`
88×	`cube-div_binary64`
87×	`associate-r_binary64`
85×	`associate-l_binary64`
75×	`associate-/r/_binary64`
65×	`distribute-rgt-neg-in_binary64`
64×	`unswap-sqr_binary64`
53×	`distribute-lft-neg-in_binary64`
52×	`sub-neg_binary64`
51×	`div-sub_binary64`
47×	`associate-*l/_binary64`
46×	`associate-/r_binary64` `-commutative_binary64`
44×	`sqr-pow_binary64`
42×	`log-prod_binary64`
40×	`associate-*r/_binary64`
38×	`cube-prod_binary64`
34×	`distribute-lft-neg-out_binary64`
33×	`+-commutative_binary64`
32×	`distribute-rgt-out_binary64`
31×	`swap-sqr_binary64`
29×	`distribute-neg-frac_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`*-rgt-identity_binary64`
24×	`unpow3_binary64` `neg-sub0_binary64`
23×	`neg-mul-1_binary64`
22×	`exp-sum_binary64` `*-lft-identity_binary64`
21×	`prod-exp_binary64`
17×	`cube-mult_binary64`
15×	`distribute-lft-out_binary64`
14×	`log-div_binary64`
13×	`pow-plus_binary64`
12×	`distribute-neg-in_binary64`
11×	`cube-unmult_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
10×	`exp-lft-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
9×	`pow-sqr_binary64`
7×	`exp-diff_binary64` `distribute-lft-out--_binary64`
6×	`log-pow_binary64` `mul-1-neg_binary64`
5×	`fabs-mul_binary64`
4×	`difference-of-sqr--1_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64`
3×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`exp-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

155 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	4989
1	540	4576
2	1481	4444
3	4605	4427
4	4959	4427

prune144.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	125	2	127

Error

Counts

127 → 2

Compiler

Compiled 2892 to 2613 computations (9.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
0.5b	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
0.5b	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
3.2b	(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) 1)

rewrite192.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64` `cbrt-prod_binary64`
10×	`difference-of-squares_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `cbrt-div_binary64`
5×	`difference-of-sqr-1_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow-prod-down_binary64` `unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

4 → 72

Calls

4 calls:

18.0ms	(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) 1)
12.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
10.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
10.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))

Compiler

Compiled 3897 to 3588 computations (7.9% saved)

series139.0ms (2.6%)

Error

Counts

4 → 17

Calls

4 calls:

32.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
30.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
29.0ms	(cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))))
25.0ms	(-.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)) 1)

Compiler

Compiled 2034 to 1920 computations (5.6% saved)

simplify151.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r/_binary64`
297×	`distribute-rgt-in_binary64`
269×	`distribute-lft-in_binary64`
267×	`associate-l_binary64`
250×	`unswap-sqr_binary64`
232×	`associate-r_binary64`
138×	`times-frac_binary64`
125×	`cube-div_binary64`
123×	`exp-prod_binary64`
121×	`associate-*l/_binary64`
115×	`log-prod_binary64`
114×	`cancel-sign-sub-inv_binary64`
111×	`cube-prod_binary64`
100×	`associate-*r/_binary64`
96×	`distribute-rgt-neg-in_binary64`
89×	`distribute-rgt-out_binary64`
87×	`sqr-pow_binary64`
78×	`distribute-lft-neg-in_binary64` `associate-/r*_binary64`
76×	`associate-/l*_binary64`
73×	`swap-sqr_binary64`
71×	`unpow3_binary64` `distribute-neg-frac_binary64`
65×	`*-commutative_binary64`
54×	`cube-mult_binary64`
47×	`sub-neg_binary64`
41×	`distribute-lft-out_binary64`
39×	`+-commutative_binary64`
26×	`cube-unmult_binary64` `fabs-mul_binary64`
24×	`pow-plus_binary64`
23×	`neg-sub0_binary64`
22×	`*-rgt-identity_binary64`
21×	`neg-mul-1_binary64`
20×	`*-lft-identity_binary64`
19×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
18×	`log-pow_binary64` `associate-/l/_binary64`
16×	`distribute-rgt1-in_binary64`
13×	`rem-sqrt-square_binary64`
10×	`prod-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
9×	`exp-lft-sqr_binary64` `exp-sum_binary64`
8×	`fabs-div_binary64`
7×	`div-sub_binary64` `associate-+l+_binary64`
6×	`unsub-neg_binary64` `/-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
5×	`unpow2_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
4×	`unpow1/2_binary64` `difference-of-sqr--1_binary64`
3×	`unpow1_binary64` `sub0-neg_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
2×	`unpow1/3_binary64` `div-exp_binary64` `rem-3cbrt-lft_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

89 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	2366
1	219	2224
2	532	2079
3	2182	2013
4	4656	2013
5	4980	2013
6	4877	2013

prune53.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 1508 to 1383 computations (8.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (pow.f64 x 3) 1/3))
0.2b	(*.f64 (pow.f64 x 3) 1/3)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
7×	`add-exp-log_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64` `cube-prod_binary64`
3×	`prod-exp_binary64` `associate-r_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `unpow3_binary64` `cube-mult_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 43

Calls

2 calls:

6.0ms	(*.f64 (pow.f64 x 3) 1/3)
3.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/3))

Compiler

Compiled 518 to 397 computations (23.4% saved)

series23.0ms (0.4%)

Error

Counts

2 → 9

Calls

2 calls:

13.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/3))
8.0ms	(*.f64 (pow.f64 x 3) 1/3)

Compiler

Compiled 108 to 109 computations (-0.9% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

445×	`exp-prod_binary64`
320×	`*-commutative_binary64`
310×	`distribute-rgt-neg-in_binary64`
294×	`distribute-lft-neg-in_binary64`
267×	`unswap-sqr_binary64`
238×	`times-frac_binary64`
236×	`log-prod_binary64`
218×	`distribute-rgt-in_binary64`
205×	`cube-prod_binary64`
178×	`distribute-lft-in_binary64`
175×	`associate-+l+_binary64`
166×	`associate-+r+_binary64`
165×	`unsub-neg_binary64`
161×	`cancel-sign-sub-inv_binary64`
116×	`neg-mul-1_binary64`
114×	`swap-sqr_binary64`
112×	`neg-sub0_binary64` `sqr-pow_binary64`
97×	`associate-l_binary64`
90×	`exp-sum_binary64` `sub-neg_binary64`
86×	`pow-sqr_binary64`
81×	`associate-r_binary64`
76×	`unpow3_binary64`
62×	`cube-mult_binary64`
59×	`distribute-rgt-out_binary64`
57×	`fabs-mul_binary64` `rem-sqrt-square_binary64`
47×	`mul0-rgt_binary64` `mul0-lft_binary64`
43×	`exp-diff_binary64`
42×	`log-pow_binary64`
38×	`associate-/l*_binary64`
34×	`pow-plus_binary64`
30×	`distribute-lft-out_binary64`
25×	`+-commutative_binary64`
20×	`distribute-rgt-neg-out_binary64`
19×	`distribute-rgt-out--_binary64`
18×	`cube-unmult_binary64`
17×	`distribute-lft-neg-out_binary64`
15×	`fabs-sqr_binary64`
13×	`difference-of-squares_binary64`
12×	`unpow1/3_binary64`
9×	`sqr-neg_binary64`
7×	`div-sub_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `count-2_binary64`
6×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-/r*_binary64` `associate-+l-_binary64`
5×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `cube-neg_binary64` `+-lft-identity_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_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` `prod-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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

52 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	583
1	158	561
2	620	558
3	1406	534
4	3704	525
5	4468	525
6	4819	525

prune17.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 312 to 234 computations (25% saved)

regimes2.1s (39.5%)

Accuracy

Total 0.3b remaining (90.6%)

Threshold costs 0.3b (90.6%)

Compiler

Compiled 27168 to 26308 computations (3.2% saved)

bsearch8.0ms (0.2%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	151
1	53	151
2	63	151
3	67	151
4	69	151
5	66	151

end3.0ms (0.1%)

Compiler: Compiled 98 to 89 computations (9.2% saved)

sample1.2s (21.9%)

Algorithm

1×

intervals

Results

404.0ms	1992×	body	1024	valid
149.0ms	4327×	body	128	valid
116.0ms	973×	body	512	valid
51.0ms	219×	body	2048	valid
36.0ms	489×	body	256	valid

Compiler

Compiled 164 to 156 computations (4.9% saved)

Details

analyze143.0ms (2.6%)

sample31.0ms (0.6%)

simplify98.0ms (1.8%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite97.0ms (1.8%)

series28.0ms (0.5%)

simplify101.0ms (1.9%)

prune62.0ms (1.1%)

localize11.0ms (0.2%)

rewrite356.0ms (6.6%)

series93.0ms (1.7%)

simplify166.0ms (3.1%)

prune144.0ms (2.7%)

localize17.0ms (0.3%)

rewrite192.0ms (3.5%)

series139.0ms (2.6%)

simplify151.0ms (2.8%)

prune53.0ms (1%)

localize4.0ms (0.1%)

rewrite41.0ms (0.8%)

series23.0ms (0.4%)

simplify97.0ms (1.8%)

prune17.0ms (0.3%)

regimes2.1s (39.5%)

bsearch8.0ms (0.2%)

simplify7.0ms (0.1%)

end3.0ms (0.1%)

sample1.2s (21.9%)

Profiling