Details

analyze300.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`div-sub_binary64`
469×	`associate-/l/_binary64`
260×	`distribute-rgt-in_binary64`
232×	`distribute-lft-in_binary64`
188×	`times-frac_binary64`
184×	`distribute-rgt-neg-in_binary64`
169×	`distribute-lft-neg-in_binary64`
167×	`exp-sum_binary64`
159×	`sub-neg_binary64`
156×	`associate-/l*_binary64`
148×	`associate-r_binary64`
142×	`exp-prod_binary64`
133×	`sqr-pow_binary64`
110×	`distribute-neg-frac_binary64` `associate-/r*_binary64`
96×	`associate-l_binary64`
95×	`unsub-neg_binary64`
92×	`distribute-lft-out_binary64`
68×	`distribute-frac-neg_binary64`
66×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
64×	`exp-diff_binary64`
60×	`distribute-lft-out--_binary64`
55×	`distribute-lft-neg-out_binary64`
54×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
52×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
51×	`neg-mul-1_binary64`
48×	`associate--r+_binary64`
46×	`neg-sub0_binary64` `*-commutative_binary64`
44×	`*-rgt-identity_binary64`
40×	`+-commutative_binary64`
36×	`/-rgt-identity_binary64` `associate-+l-_binary64`
34×	`*-lft-identity_binary64` `associate-+l+_binary64`
32×	`associate-*l/_binary64`
28×	`associate-/r/_binary64`
24×	`associate-+r+_binary64`
22×	`sub0-neg_binary64` `associate-*r/_binary64`
20×	`associate-+r-_binary64`
12×	`--rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64` `associate--l+_binary64`
10×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`exp-neg_binary64` `remove-double-neg_binary64`
6×	`div0_binary64`
4×	`pow-plus_binary64` `mul-1-neg_binary64` `distribute-neg-out_binary64`
2×	`unpow1/2_binary64` `div-exp_binary64` `rec-exp_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_binary64` `associate--l-_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` `unpow3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `e-exp-1_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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	101	90
2	283	82
3	691	82
4	2382	82
5	4905	82
6	5348	82
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample61.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	61×	body	1024	valid
11.0ms	140×	body	128	valid
8.0ms	35×	body	512	valid
3.0ms	5×	body	2048	valid
2.0ms	15×	body	256	valid
1.0ms	9×	body	128	overflowed
0.0ms	5×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
720×	`div-sub_binary64`
534×	`cancel-sign-sub-inv_binary64`
478×	`associate-/l*_binary64`
197×	`associate-/l/_binary64`
163×	`neg-mul-1_binary64`
161×	`sub-neg_binary64`
153×	`neg-sub0_binary64`
146×	`associate-/r/_binary64`
132×	`unsub-neg_binary64`
125×	`distribute-rgt-in_binary64`
109×	`distribute-lft-in_binary64`
89×	`exp-prod_binary64`
88×	`distribute-rgt-neg-in_binary64`
81×	`distribute-lft-neg-in_binary64`
80×	`exp-sum_binary64`
77×	`associate-r_binary64`
72×	`sqr-pow_binary64`
51×	`distribute-neg-frac_binary64` `associate-/r*_binary64`
49×	`associate-l_binary64`
43×	`distribute-lft-out_binary64`
35×	`distribute-neg-in_binary64`
34×	`distribute-lft-out--_binary64`
32×	`distribute-rgt-out_binary64`
28×	`exp-diff_binary64` `distribute-frac-neg_binary64`
26×	`pow-sqr_binary64`
25×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
24×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
22×	`distribute-rgt-out--_binary64`
21×	`+-commutative_binary64`
19×	`/-rgt-identity_binary64`
17×	`*-lft-identity_binary64` `associate-+l+_binary64`
16×	`associate-*l/_binary64` `associate-+l-_binary64`
12×	`associate-+r+_binary64`
11×	`sub0-neg_binary64` `associate-*r/_binary64`
8×	`rec-exp_binary64` `associate-+r-_binary64`
7×	`--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`associate--l+_binary64`
5×	`exp-neg_binary64` `+-rgt-identity_binary64` `associate--r-_binary64`
4×	`remove-double-neg_binary64`
3×	`div-exp_binary64` `div0_binary64`
2×	`pow-plus_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-lft-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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `e-exp-1_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-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	56	45
2	151	41
3	373	41
4	1232	41
5	3992	41
6	4908	41
7	5212	41

prune4.0ms (0.1%)

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

28.7b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(*.f64 (+.f64 1 eps) x)
2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite635.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

28.0b

Rules

81×	`frac-sub_binary64`
80×	`frac-times_binary64` `exp-neg_binary64`
60×	`neg-sub0_binary64` `exp-diff_binary64`
42×	`associate-*l/_binary64`
40×	`associate-*r/_binary64`
31×	`add-sqr-sqrt_binary64` `flip3--_binary64` `flip3-+_binary64` `flip--_binary64` `flip-+_binary64`
24×	`*-un-lft-identity_binary64`
23×	`associate-l_binary64`
20×	`un-div-inv_binary64`
10×	`pow1_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `times-frac_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `difference-of-sqr-1_binary64`
2×	`div-inv_binary64` `distribute-lft-out--_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 181

Calls

4 calls:

20.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
16.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
14.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
6.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 10078 to 8138 computations (19.2% saved)

series193.0ms (2.8%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

61.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
38.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
35.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
22.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3093 to 2120 computations (31.5% saved)

simplify273.0ms (4%)

Algorithm

1×	egg-herbie

Rules

856×	`times-frac_binary64`
474×	`associate-l_binary64`
435×	`associate-r_binary64`
270×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`
258×	`*-commutative_binary64`
177×	`cancel-sign-sub-inv_binary64`
145×	`+-commutative_binary64`
134×	`sub-neg_binary64`
114×	`distribute-rgt-neg-in_binary64`
91×	`associate-+r+_binary64`
86×	`exp-prod_binary64`
85×	`associate-+l+_binary64`
83×	`distribute-lft-neg-in_binary64`
70×	`associate--l+_binary64`
60×	`associate-*l/_binary64`
59×	`associate-*r/_binary64`
55×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
39×	`exp-sum_binary64`
33×	`log-prod_binary64` `associate--r+_binary64`
31×	`cube-prod_binary64`
29×	`distribute-lft-neg-out_binary64`
24×	`sqr-pow_binary64`
22×	`distribute-neg-in_binary64`
21×	`exp-diff_binary64`
19×	`*-rgt-identity_binary64`
16×	`*-lft-identity_binary64`
15×	`distribute-rgt-out_binary64`
13×	`prod-exp_binary64`
11×	`log-pow_binary64` `unpow3_binary64`
10×	`swap-sqr_binary64`
8×	`exp-neg_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
7×	`cube-mult_binary64`
6×	`distribute-neg-frac_binary64` `associate-+l-_binary64`
5×	`cube-div_binary64` `unsub-neg_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `associate-/l*_binary64`
4×	`log-div_binary64` `rem-log-exp_binary64` `associate-/l/_binary64`
3×	`cube-unmult_binary64` `associate-/r*_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `e-exp-1_binary64` `exp-0_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` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-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` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

225 → 201

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	11147
1	1140	10183
2	3762	10155
3	5101	10155

prune158.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	3	202

Error

0.0b

Counts

202 → 3

Compiler

Compiled 4824 to 3288 computations (31.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
7.5b	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
7.7b	(/.f64 (pow.f64 x 3) (exp.f64 x))
16.3b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite283.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`times-frac_binary64`
63×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
44×	`associate-r_binary64`
39×	`pow1_binary64`
37×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
22×	`unpow-prod-down_binary64` `cube-prod_binary64`
21×	`prod-exp_binary64`
18×	`pow-prod-down_binary64`
15×	`cbrt-unprod_binary64`
12×	`associate-/l*_binary64`
9×	`div-exp_binary64`
8×	`sqr-pow_binary64`
7×	`unswap-sqr_binary64` `unpow3_binary64` `cube-mult_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64` `add-log-exp_binary64` `frac-times_binary64`
3×	`-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `associate-/r_binary64` `associate-*r/_binary64` `flip3-+_binary64` `neg-sub0_binary64` `exp-diff_binary64` `flip-+_binary64` `exp-neg_binary64`
2×	`pow2_binary64` `pow-sqr_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 191

Calls

4 calls:

17.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
9.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
9.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
7.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 6867 to 2989 computations (56.5% saved)

series133.0ms (1.9%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

45.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
34.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
23.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
11.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 2231 to 1587 computations (28.9% saved)

simplify210.0ms (3%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-l_binary64`
388×	`associate-r_binary64`
323×	`cancel-sign-sub-inv_binary64`
284×	`exp-prod_binary64`
257×	`log-prod_binary64`
217×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-neg-in_binary64`
181×	`associate-/l*_binary64`
160×	`*-commutative_binary64`
130×	`log-div_binary64`
112×	`associate-*r/_binary64`
105×	`cube-prod_binary64`
90×	`unpow3_binary64`
89×	`distribute-rgt-out_binary64`
76×	`associate-*l/_binary64`
73×	`swap-sqr_binary64`
71×	`log-pow_binary64` `sqr-pow_binary64`
60×	`times-frac_binary64`
56×	`sub-neg_binary64`
55×	`associate-/r*_binary64`
52×	`unswap-sqr_binary64`
51×	`distribute-rgt-in_binary64`
49×	`cube-div_binary64`
46×	`associate-/l/_binary64`
45×	`*-rgt-identity_binary64` `distribute-lft-in_binary64`
43×	`distribute-neg-frac_binary64`
42×	`*-lft-identity_binary64`
38×	`+-commutative_binary64`
31×	`distribute-rgt-out--_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
20×	`pow-plus_binary64`
19×	`log-rec_binary64` `associate-+l+_binary64`
18×	`exp-sum_binary64`
17×	`pow-sqr_binary64` `associate-/r/_binary64`
14×	`exp-to-pow_binary64`
12×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64` `associate--l+_binary64`
11×	`/-rgt-identity_binary64`
10×	`exp-diff_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
8×	`cube-mult_binary64` `associate--r+_binary64`
7×	`prod-exp_binary64`
6×	`div-sub_binary64`
5×	`distribute-lft1-in_binary64` `associate-+l-_binary64`
4×	`unpow1/2_binary64`
3×	`rem-log-exp_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `sub0-neg_binary64`
1×	`exp-lft-sqr_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-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-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-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-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

220 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	3925
1	608	3524
2	2873	3456
3	4469	3375
4	4942	3375
5	4948	3375

prune95.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	155	3	158

Error

0.0b

Counts

158 → 3

Compiler

Compiled 2933 to 1302 computations (55.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.3b	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))
16.3b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`pow1_binary64`
14×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`add-log-exp_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow2_binary64` `pow-sqr_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `diff-log_binary64`
1×	`unswap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`

Counts

2 → 44

Calls

2 calls:

9.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
6.0ms	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))

Compiler

Compiled 870 to 323 computations (62.9% saved)

series61.0ms (0.9%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

33.0ms	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))
20.0ms	(.f64 (.f64 x x) (*.f64 eps eps))

Compiler

Compiled 470 to 427 computations (9.1% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-l_binary64`
530×	`associate-r_binary64`
216×	`distribute-rgt-in_binary64`
213×	`distribute-lft-in_binary64`
197×	`+-commutative_binary64`
190×	`times-frac_binary64`
177×	`distribute-rgt-out_binary64`
176×	`exp-prod_binary64`
146×	`cancel-sign-sub-inv_binary64`
132×	`neg-mul-1_binary64`
130×	`*-commutative_binary64`
126×	`distribute-lft-out_binary64`
95×	`unswap-sqr_binary64`
87×	`distribute-rgt-neg-in_binary64`
79×	`distribute-lft-neg-in_binary64`
78×	`log-prod_binary64`
77×	`associate-+l+_binary64`
68×	`sqr-pow_binary64`
64×	`cube-prod_binary64`
58×	`exp-sum_binary64`
57×	`associate-/l*_binary64`
56×	`associate-+r+_binary64`
55×	`associate--l+_binary64`
53×	`distribute-lft-neg-out_binary64`
46×	`unsub-neg_binary64`
44×	`sub-neg_binary64`
41×	`distribute-rgt-neg-out_binary64`
33×	`swap-sqr_binary64`
31×	`unpow3_binary64`
30×	`exp-diff_binary64`
29×	`difference-of-squares_binary64`
23×	`cube-mult_binary64`
22×	`associate--r+_binary64`
21×	`neg-sub0_binary64` `associate-/r*_binary64`
20×	`log-pow_binary64` `associate-+r-_binary64`
19×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
17×	`associate-+l-_binary64`
15×	`pow-plus_binary64` `pow-sqr_binary64`
12×	`cube-unmult_binary64` `distribute-neg-in_binary64`
9×	`associate-*r/_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`div-sub_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
6×	`sqr-neg_binary64` `sub0-neg_binary64` `associate-/l/_binary64`
5×	`div-exp_binary64` `distribute-lft1-in_binary64`
4×	`count-2_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `difference-of-sqr--1_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

62 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1070
1	186	846
2	641	806
3	2563	791
4	4301	791
5	4999	791
6	4945	791

prune23.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

0.0b

Counts

44 → 3

Compiler

Compiled 381 to 200 computations (47.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 1 eps))
0.0b	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps))))
0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
2.4b	(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (-.f64 1 eps)))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))

rewrite424.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

178×	`*-un-lft-identity_binary64`
137×	`times-frac_binary64`
115×	`add-sqr-sqrt_binary64`
60×	`exp-sum_binary64`
55×	`add-cube-cbrt_binary64`
42×	`cancel-sign-sub-inv_binary64`
40×	`distribute-lft-out_binary64`
32×	`difference-of-squares_binary64`
28×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
25×	`div-inv_binary64`
17×	`distribute-lft-out--_binary64`
16×	`associate-/l*_binary64`
15×	`associate-/r*_binary64`
14×	`sub-neg_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-/l/_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `div-sub_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`
1×	`sum-log_binary64` `frac-add_binary64` `associate-+r-_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 213

Calls

4 calls:

140.0ms	(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (-.f64 1 eps)))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
15.0ms	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
13.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps))))
8.0ms	(*.f64 x (-.f64 1 eps))

Compiler

Compiled 6925 to 4448 computations (35.8% saved)

series266.0ms (3.9%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

109.0ms	(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (-.f64 1 eps)))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
49.0ms	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
46.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps))))
21.0ms	(*.f64 x (-.f64 1 eps))

Compiler

Compiled 3405 to 2512 computations (26.2% saved)

simplify261.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
218×	`cancel-sign-sub-inv_binary64`
196×	`sub-neg_binary64`
188×	`exp-prod_binary64`
124×	`+-commutative_binary64`
122×	`associate-l_binary64`
107×	`associate-r_binary64`
96×	`distribute-rgt-neg-in_binary64`
94×	`*-commutative_binary64`
84×	`associate-/l*_binary64`
83×	`associate-+r+_binary64`
80×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
77×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
73×	`neg-sub0_binary64`
72×	`neg-mul-1_binary64`
71×	`distribute-neg-frac_binary64`
69×	`distribute-rgt-in_binary64`
66×	`sqr-pow_binary64`
64×	`unswap-sqr_binary64`
63×	`distribute-lft-in_binary64`
62×	`associate-/l/_binary64`
58×	`associate--l+_binary64`
57×	`log-prod_binary64` `cube-prod_binary64`
54×	`div-sub_binary64`
50×	`distribute-lft-neg-out_binary64`
48×	`unsub-neg_binary64`
47×	`exp-sum_binary64`
46×	`associate--r+_binary64`
45×	`distribute-rgt-neg-out_binary64`
42×	`associate-*l/_binary64`
40×	`associate-/r*_binary64`
34×	`*-lft-identity_binary64`
33×	`-rgt-identity_binary64` `associate-r/_binary64`
26×	`prod-exp_binary64`
24×	`exp-neg_binary64`
21×	`log-pow_binary64`
20×	`associate-/r/_binary64`
19×	`exp-to-pow_binary64` `exp-diff_binary64` `/-rgt-identity_binary64`
18×	`unpow3_binary64` `swap-sqr_binary64`
14×	`cube-div_binary64` `distribute-rgt1-in_binary64`
13×	`pow-plus_binary64`
12×	`distribute-neg-out_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`log-div_binary64` `cube-mult_binary64` `pow-sqr_binary64`
9×	`rec-exp_binary64`
7×	`cube-unmult_binary64` `distribute-lft1-in_binary64`
6×	`rem-log-exp_binary64`
3×	`unpow1/2_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

258 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	7138
1	844	6937
2	2462	6916
3	4622	6916
4	4956	6916

prune136.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	208	3	211

Error

0.0b

Counts

211 → 3

Compiler

Compiled 3993 to 2503 computations (37.3% saved)

regimes1.0s (14.9%)

Accuracy

Total 0.5b remaining (94.7%)

Threshold costs 0.5b (94.7%)

Compiler

Compiled 23043 to 19415 computations (15.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	18	24
2	20	24
3	21	24
4	21	24

end1.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

sample2.0s (29.5%)

Algorithm

1×

intervals

Results

799.0ms	2002×	body	1024	valid
329.0ms	4270×	body	128	valid
258.0ms	1051×	body	512	valid
133.0ms	209×	body	2048	valid
79.0ms	468×	body	256	valid
18.0ms	223×	body	128	invalid
16.0ms	212×	body	128	overflowed
7.0ms	18×	body	1024	invalid
2.0ms	7×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 127 to 107 computations (15.7% saved)

Details

analyze300.0ms (4.3%)

sample61.0ms (0.9%)

simplify78.0ms (1.1%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

rewrite635.0ms (9.2%)

series193.0ms (2.8%)

simplify273.0ms (4%)

prune158.0ms (2.3%)

localize23.0ms (0.3%)

rewrite283.0ms (4.1%)

series133.0ms (1.9%)

simplify210.0ms (3%)

prune95.0ms (1.4%)

localize7.0ms (0.1%)

rewrite58.0ms (0.8%)

series61.0ms (0.9%)

simplify110.0ms (1.6%)

prune23.0ms (0.3%)

localize17.0ms (0.3%)

rewrite424.0ms (6.1%)

series266.0ms (3.9%)

simplify261.0ms (3.8%)

prune136.0ms (2%)

regimes1.0s (14.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.0s (29.5%)

Profiling