Details

analyze291.0ms (14.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`associate-l_binary64` `associate-r_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` `1-exp_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	16	40
1	33	40
2	37	40
3	37	40
0	3	3
1	3	3

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%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-l_binary64` `associate-r_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` `1-exp_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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	13	10
3	13	10

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite38.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 (.f64 y z) z)
3.0ms	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 380 to 102 computations (73.2% saved)

series53.0ms (2.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

31.0ms	(+.f64 x (.f64 (.f64 y z) z))
15.0ms	(.f64 (.f64 y z) z)

Compiler

Compiled 259 to 266 computations (-2.7% saved)

simplify115.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

556×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
284×	`unswap-sqr_binary64`
220×	`*-commutative_binary64`
208×	`cancel-sign-sub-inv_binary64`
193×	`unsub-neg_binary64`
186×	`sub-neg_binary64`
180×	`distribute-rgt-neg-in_binary64`
164×	`log-prod_binary64`
152×	`+-commutative_binary64`
149×	`distribute-lft-neg-in_binary64`
146×	`neg-mul-1_binary64`
143×	`sqr-pow_binary64`
137×	`distribute-rgt-out_binary64`
122×	`associate-+l+_binary64`
115×	`associate-l_binary64` `associate-+r+_binary64`
84×	`associate-r_binary64`
77×	`times-frac_binary64`
75×	`neg-sub0_binary64`
74×	`distribute-neg-in_binary64`
68×	`log-div_binary64`
64×	`cube-prod_binary64`
63×	`exp-prod_binary64`
61×	`associate-+l-_binary64`
55×	`pow-sqr_binary64`
46×	`cancel-sign-sub_binary64`
43×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
42×	`mul0-rgt_binary64` `mul0-lft_binary64`
41×	`associate--r+_binary64`
36×	`swap-sqr_binary64`
34×	`div-sub_binary64` `associate-/l*_binary64`
33×	`cube-div_binary64` `sub0-neg_binary64`
31×	`rem-sqrt-square_binary64`
30×	`distribute-lft-out_binary64`
27×	`distribute-neg-out_binary64`
25×	`associate-/l/_binary64`
23×	`unpow3_binary64`
21×	`associate-*r/_binary64`
20×	`remove-double-neg_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
18×	`*-rgt-identity_binary64`
17×	`cube-mult_binary64`
16×	`exp-sum_binary64`
14×	`distribute-lft-neg-out_binary64` `associate-/r*_binary64`
13×	`exp-diff_binary64` `*-lft-identity_binary64` `+-rgt-identity_binary64`
10×	`log-pow_binary64` `associate--l+_binary64`
8×	`unpow1/2_binary64` `sqr-neg_binary64`
7×	`cube-neg_binary64` `distribute-neg-frac_binary64` `count-2_binary64` `associate--r-_binary64`
6×	`pow-plus_binary64`
4×	`log-rec_binary64` `exp-sqrt_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
3×	`associate-*l/_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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`

Counts

53 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	534
1	164	510
2	535	507
3	999	505
4	2011	505
5	4110	505
6	4512	505
7	4911	505
8	4953	505

prune16.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

0.0b

Counts

43 → 4

Compiler

Compiled 275 to 94 computations (65.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 z z) y))
7.3b	(.f64 (.f64 z z) y)

rewrite31.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
1×	`unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) y)
5.0ms	(+.f64 x (.f64 (.f64 z z) y))

Compiler

Compiled 391 to 105 computations (73.1% saved)

series50.0ms (2.5%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

33.0ms	(+.f64 x (.f64 (.f64 z z) y))
15.0ms	(.f64 (.f64 z z) y)

Compiler

Compiled 259 to 266 computations (-2.7% saved)

simplify88.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

674×	`unswap-sqr_binary64`
462×	`associate-l_binary64`
370×	`distribute-rgt-out_binary64`
322×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`
255×	`distribute-rgt-in_binary64`
225×	`distribute-lft-in_binary64`
210×	`distribute-rgt-neg-in_binary64`
176×	`distribute-lft-neg-in_binary64`
97×	`sqr-pow_binary64` `associate-+l+_binary64`
96×	`*-commutative_binary64`
91×	`associate-+r+_binary64`
82×	`unsub-neg_binary64`
71×	`sub-neg_binary64`
69×	`distribute-rgt-out--_binary64`
62×	`log-prod_binary64`
55×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
53×	`*-lft-identity_binary64`
50×	`*-rgt-identity_binary64`
45×	`exp-prod_binary64`
42×	`distribute-lft-out_binary64`
36×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
33×	`+-commutative_binary64`
22×	`pow-sqr_binary64`
18×	`distribute-rgt-neg-out_binary64`
14×	`unpow3_binary64` `associate-+l-_binary64`
12×	`sub0-neg_binary64` `associate-/l*_binary64`
11×	`log-pow_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r-_binary64`
10×	`swap-sqr_binary64` `distribute-neg-out_binary64`
9×	`distribute-neg-in_binary64`
8×	`pow-plus_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
7×	`cube-unmult_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64`
4×	`unpow1/2_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
3×	`count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

54 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	546
1	157	519
2	470	519
3	1424	519
4	3020	519
5	4970	519
6	4930	519

prune10.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Error

0.0b

Counts

39 → 4

Compiler

Compiled 193 to 67 computations (65.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.3b	(.f64 (.f64 z z) y)
7.3b	(.f64 (.f64 z z) y)
17.5b	(sqrt.f64 (.f64 (.f64 z z) y))
17.5b	(sqrt.f64 (.f64 (.f64 z z) y))

rewrite62.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow-prod-down_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sqrt-pow1_binary64` `-un-lft-identity_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r*_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/2_binary64` `sqrt-prod_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

6.0ms	(sqrt.f64 (.f64 (.f64 z z) y))
6.0ms	(.f64 (.f64 z z) y)
6.0ms	(.f64 (.f64 z z) y)
4.0ms	(sqrt.f64 (.f64 (.f64 z z) y))

Compiler

Compiled 1106 to 222 computations (79.9% saved)

series75.0ms (3.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

20.0ms	(sqrt.f64 (.f64 (.f64 z z) y))
18.0ms	(.f64 (.f64 z z) y)
16.0ms	(sqrt.f64 (.f64 (.f64 z z) y))
16.0ms	(.f64 (.f64 z z) y)

Compiler

Compiled 826 to 618 computations (25.2% saved)

simplify89.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-/l*_binary64`
549×	`unswap-sqr_binary64`
392×	`associate-l_binary64`
313×	`*-commutative_binary64`
278×	`sqr-pow_binary64`
254×	`associate-r_binary64`
200×	`times-frac_binary64`
196×	`distribute-rgt-in_binary64`
179×	`distribute-lft-in_binary64`
121×	`associate-/l/_binary64`
117×	`pow-sqr_binary64`
105×	`log-prod_binary64`
104×	`exp-prod_binary64`
101×	`distribute-lft-out_binary64` `associate-+l+_binary64`
84×	`associate-/r/_binary64`
80×	`cube-prod_binary64`
73×	`associate-*r/_binary64`
69×	`associate-/r*_binary64`
66×	`associate-+r+_binary64`
62×	`distribute-rgt-out_binary64`
55×	`+-commutative_binary64`
49×	`*-lft-identity_binary64`
48×	`*-rgt-identity_binary64`
42×	`log-div_binary64` `cube-div_binary64` `rem-sqrt-square_binary64`
41×	`swap-sqr_binary64`
29×	`count-2_binary64`
24×	`associate-*l/_binary64`
21×	`unpow3_binary64`
20×	`pow-plus_binary64`
19×	`log-pow_binary64`
17×	`cube-mult_binary64`
15×	`distribute-rgt-neg-in_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`sub-neg_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`unpow1/2_binary64`
8×	`cube-unmult_binary64` `neg-sub0_binary64` `unsub-neg_binary64`
7×	`exp-sqrt_binary64` `/-rgt-identity_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
6×	`neg-mul-1_binary64`
4×	`unpow2_binary64` `exp-lft-sqr_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft1-in_binary64`
3×	`sub0-neg_binary64` `--rgt-identity_binary64` `associate-+l-_binary64`
2×	`unpow1_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

86 → 62

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	808
1	112	706
2	331	706
3	822	706
4	1228	706
5	2200	706
6	3467	706
7	5117	706

prune28.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	62	4	66

Error

0.0b

Counts

66 → 4

Compiler

Compiled 641 to 137 computations (78.6% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z))
2.2b	(*.f64 y (pow.f64 z 3/2))

rewrite52.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-exp-log_binary64`
13×	`associate-r_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`prod-exp_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `associate-l_binary64`
3×	`unswap-sqr_binary64` `sqrt-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z))
5.0ms	(*.f64 y (pow.f64 z 3/2))

Compiler

Compiled 707 to 396 computations (44% saved)

series42.0ms (2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

21.0ms	(*.f64 y (pow.f64 z 3/2))
19.0ms	(.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z))

Compiler

Compiled 270 to 245 computations (9.3% saved)

simplify134.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

480×	`distribute-rgt-in_binary64`
478×	`associate-+l+_binary64`
366×	`*-commutative_binary64`
298×	`sqr-pow_binary64`
245×	`associate-+r+_binary64`
208×	`log-prod_binary64`
188×	`unswap-sqr_binary64`
182×	`log-div_binary64`
169×	`associate-l_binary64`
144×	`associate-r_binary64`
133×	`associate-/l*_binary64`
124×	`exp-prod_binary64`
112×	`pow-sqr_binary64`
100×	`times-frac_binary64`
90×	`cube-prod_binary64`
80×	`distribute-rgt-neg-in_binary64`
74×	`swap-sqr_binary64`
70×	`distribute-lft-out_binary64`
68×	`distribute-lft-neg-in_binary64` `associate-/r*_binary64`
62×	`unpow3_binary64`
55×	`distribute-rgt-out_binary64`
52×	`associate-/l/_binary64`
50×	`distribute-lft-in_binary64` `associate-/r/_binary64`
47×	`log-pow_binary64`
40×	`rem-sqrt-square_binary64` `associate-*r/_binary64`
38×	`unsub-neg_binary64`
34×	`+-commutative_binary64`
29×	`neg-sub0_binary64`
26×	`*-lft-identity_binary64`
25×	`neg-mul-1_binary64`
24×	`cancel-sign-sub-inv_binary64`
23×	`sub-neg_binary64` `*-rgt-identity_binary64`
21×	`cube-mult_binary64`
17×	`pow-plus_binary64`
13×	`cube-div_binary64`
12×	`cube-unmult_binary64` `count-2_binary64`
10×	`unpow1/2_binary64`
9×	`mul0-rgt_binary64` `mul0-lft_binary64`
8×	`distribute-rgt1-in_binary64` `associate-*l/_binary64`
6×	`unpow2_binary64` `pow-base-1_binary64` `distribute-lft1-in_binary64`
5×	`log-rec_binary64`
4×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1_binary64` `/-rgt-identity_binary64`
2×	`exp-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate-+l-_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_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` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

59 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	709
1	207	655
2	724	655
3	1080	580
4	1709	567
5	3156	567
6	4825	567
7	4913	567
8	4924	567
9	4881	567

prune13.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	6	40

Error

0.0b

Counts

40 → 6

Compiler

Compiled 209 to 97 computations (53.6% saved)

regimes193.0ms (9.4%)

Accuracy

Total 0.1b remaining (64%)

Threshold costs 0.1b (64%)

Compiler

Compiled 1780 to 1330 computations (25.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-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` `1-exp_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	10	10
2	10	10

end1.0ms (0%)

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

sample615.0ms (30%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
16.0ms	665×	body	128	invalid

Compiler

Compiled 88 to 83 computations (5.7% saved)

Details

analyze291.0ms (14.2%)

sample16.0ms (0.8%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite38.0ms (1.9%)

series53.0ms (2.6%)

simplify115.0ms (5.6%)

prune16.0ms (0.8%)

localize5.0ms (0.2%)

rewrite31.0ms (1.5%)

series50.0ms (2.5%)

simplify88.0ms (4.3%)

prune10.0ms (0.5%)

localize8.0ms (0.4%)

rewrite62.0ms (3%)

series75.0ms (3.7%)

simplify89.0ms (4.3%)

prune28.0ms (1.4%)

localize8.0ms (0.4%)

rewrite52.0ms (2.5%)

series42.0ms (2%)

simplify134.0ms (6.5%)

prune13.0ms (0.6%)

regimes193.0ms (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample615.0ms (30%)

Profiling