Details

analyze87.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64`
2×	`+-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_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	10	20
1	18	20
2	26	20
3	32	20
4	34	20
5	33	20
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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/r/_binary64` `associate-/l*_binary64`
1×	`1-exp_binary64` `+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	10

prune1.0ms (0.1%)

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

6.8b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.4b	(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite35.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`times-frac_binary64` `associate-/r*_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 324 to 194 computations (40.1% saved)

series32.0ms (2%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

22.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 247 to 170 computations (31.2% saved)

simplify75.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

683×	`times-frac_binary64`
439×	`associate-/l*_binary64`
403×	`sub-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`
198×	`distribute-rgt-in_binary64`
174×	`div-sub_binary64`
161×	`associate-/r*_binary64`
157×	`distribute-lft-in_binary64`
151×	`associate-/l/_binary64`
139×	`associate-+l+_binary64`
138×	`associate-l_binary64`
120×	`associate-+l-_binary64`
113×	`associate-r_binary64`
104×	`distribute-rgt-out_binary64` `associate-*l/_binary64`
91×	`unsub-neg_binary64`
84×	`associate--l+_binary64`
83×	`neg-mul-1_binary64`
74×	`distribute-rgt-out--_binary64` `associate-/r/_binary64`
73×	`neg-sub0_binary64`
69×	`associate-*r/_binary64`
66×	`*-commutative_binary64`
64×	`unswap-sqr_binary64`
57×	`distribute-rgt-neg-in_binary64`
53×	`associate-+r-_binary64`
51×	`distribute-lft-out_binary64`
44×	`associate--r+_binary64`
43×	`distribute-lft-neg-in_binary64` `associate--l-_binary64`
41×	`log-prod_binary64` `distribute-neg-frac_binary64`
39×	`cube-prod_binary64`
38×	`log-div_binary64` `+-commutative_binary64`
31×	`cube-div_binary64` `distribute-lft-out--_binary64`
26×	`*-rgt-identity_binary64`
25×	`swap-sqr_binary64`
24×	`sqr-pow_binary64` `associate-+r+_binary64`
19×	`unpow3_binary64`
15×	`exp-prod_binary64`
14×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
13×	`cube-mult_binary64` `distribute-neg-in_binary64`
11×	`+-rgt-identity_binary64`
10×	`associate--r-_binary64`
9×	`/-rgt-identity_binary64` `sub0-neg_binary64` `distribute-lft-neg-out_binary64`
8×	`cube-unmult_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
5×	`log-rec_binary64` `pow-plus_binary64`
3×	`log-pow_binary64`
2×	`rem-sqrt-square_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `1-exp_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64`

Counts

40 → 21

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	560
1	210	489
2	673	486
3	2816	483
4	4490	483
5	5165	483

prune14.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

Counts

22 → 3

Compiler

Compiled 181 to 104 computations (42.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))

rewrite67.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 70

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
5.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 915 to 570 computations (37.7% saved)

series41.0ms (2.6%)

Error

Counts

2 → 27

Calls

2 calls:

21.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
11.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 442 to 333 computations (24.7% saved)

simplify130.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

519×	`cancel-sign-sub-inv_binary64`
355×	`times-frac_binary64`
325×	`sub-neg_binary64`
301×	`associate-l_binary64`
293×	`associate-/l*_binary64`
254×	`associate-r_binary64`
207×	`associate-*r/_binary64`
206×	`associate-*l/_binary64`
190×	`distribute-rgt-in_binary64`
162×	`distribute-rgt-out--_binary64`
142×	`associate-/r*_binary64`
124×	`distribute-rgt-out_binary64`
118×	`div-sub_binary64`
115×	`neg-mul-1_binary64`
102×	`*-commutative_binary64`
101×	`neg-sub0_binary64`
100×	`unsub-neg_binary64`
94×	`distribute-rgt-neg-in_binary64`
87×	`associate-/l/_binary64`
75×	`distribute-lft-neg-in_binary64`
74×	`unswap-sqr_binary64`
65×	`distribute-lft-out_binary64`
64×	`log-prod_binary64` `+-commutative_binary64`
61×	`associate-/r/_binary64`
60×	`*-lft-identity_binary64`
57×	`log-div_binary64`
56×	`distribute-lft-out--_binary64`
53×	`cube-div_binary64`
52×	`cube-prod_binary64` `distribute-neg-frac_binary64`
45×	`*-rgt-identity_binary64` `associate--l+_binary64`
43×	`exp-prod_binary64` `associate-+l-_binary64`
39×	`associate-+r+_binary64`
37×	`sqr-pow_binary64` `associate-+l+_binary64`
33×	`associate-+r-_binary64`
28×	`/-rgt-identity_binary64` `associate--r+_binary64`
25×	`swap-sqr_binary64`
24×	`distribute-rgt1-in_binary64`
23×	`distribute-lft-in_binary64`
22×	`unpow3_binary64`
19×	`+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64`
17×	`cube-mult_binary64`
16×	`sub0-neg_binary64`
13×	`log-rec_binary64` `distribute-lft-neg-out_binary64`
9×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64`
8×	`pow-plus_binary64`
5×	`remove-double-div_binary64` `pow-sqr_binary64`
4×	`log-pow_binary64`
3×	`unpow1/2_binary64` `exp-sum_binary64`
2×	`sqr-neg_binary64` `difference-of-sqr-1_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

97 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1306
1	313	1205
2	983	1199
3	3038	1193
4	4417	1193
5	4970	1193
6	4949	1193

prune23.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 406 to 234 computations (42.4% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (/.f64 -1 y))
0.1b	(/.f64 x (+.f64 y (/.f64 -1 y)))
5.2b	(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))

rewrite110.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
18×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-r_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `associate-*r/_binary64` `div-inv_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 98

Calls

3 calls:

16.0ms	(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))
7.0ms	(/.f64 x (+.f64 y (/.f64 -1 y)))
6.0ms	(+.f64 y (/.f64 -1 y))

Compiler

Compiled 1803 to 1193 computations (33.8% saved)

series77.0ms (4.9%)

Error

Counts

3 → 36

Calls

3 calls:

29.0ms	(/.f64 x (+.f64 y (/.f64 -1 y)))
26.0ms	(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))
8.0ms	(+.f64 y (/.f64 -1 y))

Compiler

Compiled 780 to 559 computations (28.3% saved)

simplify111.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

414×	`div-sub_binary64`
361×	`times-frac_binary64`
342×	`associate-/l*_binary64`
330×	`distribute-rgt-in_binary64`
306×	`associate-*l/_binary64`
259×	`distribute-lft-in_binary64`
211×	`associate-*r/_binary64`
170×	`associate-/r*_binary64`
104×	`cancel-sign-sub-inv_binary64`
86×	`associate-l_binary64` `*-commutative_binary64`
74×	`associate-r_binary64`
71×	`sub-neg_binary64`
63×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64`
60×	`associate-/l/_binary64`
57×	`+-commutative_binary64`
50×	`distribute-lft-neg-in_binary64` `associate-+l-_binary64`
48×	`associate-+r-_binary64`
45×	`distribute-rgt-out_binary64`
41×	`distribute-neg-in_binary64` `associate--r+_binary64`
39×	`cube-prod_binary64`
38×	`neg-sub0_binary64`
36×	`neg-mul-1_binary64`
35×	`distribute-lft-out_binary64` `associate--l+_binary64`
34×	`cube-div_binary64`
33×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
32×	`unsub-neg_binary64`
30×	`distribute-rgt-out--_binary64`
29×	`sqr-pow_binary64`
28×	`log-prod_binary64`
27×	`log-div_binary64`
26×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
25×	`mul-1-neg_binary64`
24×	`distribute-neg-frac_binary64`
22×	`*-rgt-identity_binary64`
20×	`associate-+l+_binary64`
14×	`exp-sum_binary64` `*-lft-identity_binary64`
13×	`swap-sqr_binary64`
12×	`exp-diff_binary64`
10×	`distribute-lft-out--_binary64`
9×	`unswap-sqr_binary64`
8×	`distribute-rgt1-in_binary64`
7×	`log-rec_binary64` `unpow3_binary64` `exp-neg_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
5×	`cube-mult_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
4×	`cube-neg_binary64` `associate--r-_binary64`
3×	`unpow1/2_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
2×	`difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `pow-sqr_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

134 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2391
1	483	2212
2	1447	2200
3	4532	2184
4	5418	2184

prune59.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Compiler

Compiled 1489 to 943 computations (36.7% saved)

regimes123.0ms (7.9%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Compiler

Compiled 1061 to 835 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 *-commutative_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 sub-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	7	10
1	11	10
2	10	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample534.0ms (34.2%)

Algorithm

1×

intervals

Results

200.0ms

8000×

body

128

valid

Compiler

Compiled 80 to 62 computations (22.5% saved)

Details

analyze87.0ms (5.6%)

sample15.0ms (1%)

simplify10.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite35.0ms (2.2%)

series32.0ms (2%)

simplify75.0ms (4.8%)

prune14.0ms (0.9%)

localize4.0ms (0.3%)

rewrite67.0ms (4.3%)

series41.0ms (2.6%)

simplify130.0ms (8.3%)

prune23.0ms (1.5%)

localize7.0ms (0.4%)

rewrite110.0ms (7%)

series77.0ms (4.9%)

simplify111.0ms (7.1%)

prune59.0ms (3.8%)

regimes123.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample534.0ms (34.2%)

Profiling