Details

analyze79.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`associate-/r*_binary64`
2×	`*-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-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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	18	14
3	18	14
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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_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` `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-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` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7
3	11	7

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 x (*.f64 y 3))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`pow1_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 x (*.f64 y 3))

Compiler

Compiled 207 to 133 computations (35.7% saved)

series16.0ms (0.6%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

14.0ms

(/.f64 x (*.f64 y 3))

Compiler

Compiled 65 to 65 computations (0% saved)

simplify135.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

792×	`associate-/r/_binary64`
735×	`div-sub_binary64`
652×	`associate-/l*_binary64`
613×	`*-commutative_binary64`
418×	`sub-neg_binary64`
385×	`associate-/r*_binary64`
347×	`associate-*l/_binary64`
316×	`sqr-pow_binary64`
254×	`distribute-rgt-in_binary64`
189×	`times-frac_binary64`
176×	`associate-*r/_binary64`
159×	`pow-sqr_binary64`
149×	`+-commutative_binary64`
139×	`unsub-neg_binary64`
122×	`cancel-sign-sub-inv_binary64`
119×	`associate-l_binary64`
114×	`div0_binary64` `distribute-neg-in_binary64`
112×	`associate-r_binary64`
104×	`associate--l-_binary64`
91×	`associate--r+_binary64`
87×	`distribute-lft-in_binary64`
83×	`associate--l+_binary64`
80×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l/_binary64`
73×	`associate-+r+_binary64`
61×	`associate-+l-_binary64`
51×	`neg-mul-1_binary64` `associate--r-_binary64`
49×	`unswap-sqr_binary64`
45×	`neg-sub0_binary64`
37×	`distribute-rgt-neg-in_binary64`
35×	`associate-+r-_binary64`
25×	`distribute-lft-neg-in_binary64`
19×	`distribute-lft-neg-out_binary64`
17×	`--rgt-identity_binary64`
16×	`swap-sqr_binary64` `distribute-neg-out_binary64`
15×	`log-div_binary64` `remove-double-neg_binary64` `associate-+l+_binary64`
14×	`sub0-neg_binary64`
13×	`cube-div_binary64`
12×	`log-prod_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
11×	`cube-prod_binary64`
10×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64`
9×	`distribute-rgt-out_binary64`
8×	`unpow3_binary64` `exp-prod_binary64` `distribute-lft-out_binary64`
7×	`cube-mult_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64`
5×	`+-rgt-identity_binary64`
4×	`exp-diff_binary64` `cube-unmult_binary64` `*-lft-identity_binary64`
3×	`exp-cbrt_binary64`
2×	`log-rec_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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` `*-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`

Counts

27 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	287
1	112	238
2	321	238
3	993	238
4	1815	238
5	1939	238
6	2441	238
7	2958	238
8	3224	238
9	3339	238
10	3788	238
11	4085	238
12	4786	238
13	4849	238

prune14.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Error

0.0b

Counts

16 → 6

Compiler

Compiled 146 to 100 computations (31.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 x (/.f64 1/3 y))
0.3b	(/.f64 1/3 y)

rewrite66.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64`
2×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 1/3 y))
3.0ms	(/.f64 1/3 y)

Compiler

Compiled 643 to 423 computations (34.2% saved)

series21.0ms (0.7%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

14.0ms	(*.f64 x (/.f64 1/3 y))
5.0ms	(/.f64 1/3 y)

Compiler

Compiled 100 to 98 computations (2% saved)

simplify148.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

660×	`unsub-neg_binary64`
444×	`distribute-rgt-in_binary64`
373×	`associate-/l/_binary64`
366×	`sub-neg_binary64`
319×	`associate-/r*_binary64`
311×	`pow-sqr_binary64`
289×	`associate-l_binary64`
252×	`distribute-neg-in_binary64`
238×	`sqr-pow_binary64`
230×	`*-commutative_binary64`
209×	`associate--l-_binary64`
204×	`associate-/r/_binary64`
202×	`cancel-sign-sub-inv_binary64`
196×	`associate-r_binary64`
183×	`associate-*l/_binary64`
182×	`associate-*r/_binary64`
172×	`associate-+r-_binary64`
141×	`associate-+l+_binary64`
140×	`associate-/l*_binary64`
109×	`associate--r-_binary64`
95×	`div-sub_binary64`
92×	`associate-+r+_binary64`
85×	`neg-sub0_binary64`
77×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
72×	`*-rgt-identity_binary64`
70×	`times-frac_binary64` `+-rgt-identity_binary64`
64×	`*-lft-identity_binary64`
62×	`+-commutative_binary64`
54×	`associate--l+_binary64`
51×	`rem-sqrt-square_binary64`
47×	`associate--r+_binary64`
43×	`/-rgt-identity_binary64`
38×	`distribute-neg-out_binary64`
34×	`unswap-sqr_binary64`
32×	`div0_binary64`
30×	`associate-+l-_binary64`
29×	`remove-double-neg_binary64`
27×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
26×	`log-div_binary64`
24×	`distribute-lft-neg-in_binary64`
23×	`distribute-rgt-out_binary64`
21×	`cube-div_binary64`
20×	`log-prod_binary64` `exp-prod_binary64`
18×	`swap-sqr_binary64`
17×	`cube-prod_binary64` `mul0-lft_binary64`
16×	`mul0-rgt_binary64` `distribute-lft-out_binary64`
14×	`distribute-lft-out--_binary64`
10×	`distribute-rgt-neg-out_binary64`
8×	`distribute-rgt1-in_binary64`
7×	`unpow3_binary64` `sub0-neg_binary64`
6×	`cube-mult_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `cube-unmult_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64`
4×	`remove-double-div_binary64`
3×	`distribute-rgt-out--_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow2_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` `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` `rem-square-sqrt_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

68 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	695
1	177	632
2	558	631
3	1366	631
4	2259	631
5	2690	631
6	3619	631
7	4405	631
8	4674	631
9	4915	631
10	4846	631

prune22.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	29	8	37

Error

0.0b

Counts

37 → 8

Compiler

Compiled 288 to 197 computations (31.6% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 1/3 (/.f64 x y))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 1/3 (/.f64 x y))

Compiler

Compiled 419 to 246 computations (41.3% saved)

series17.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(*.f64 1/3 (/.f64 x y))

Compiler

Compiled 91 to 91 computations (0% saved)

simplify128.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

907×	`associate-/l/_binary64`
791×	`times-frac_binary64`
464×	`pow-sqr_binary64`
407×	`associate-/l*_binary64`
338×	`associate-*l/_binary64`
302×	`*-commutative_binary64`
293×	`sqr-pow_binary64`
280×	`associate-*r/_binary64`
243×	`associate-l_binary64`
223×	`unswap-sqr_binary64`
147×	`associate-r_binary64`
126×	`associate-/r/_binary64`
120×	`associate-/r*_binary64`
67×	`cube-prod_binary64`
52×	`unpow3_binary64`
45×	`sub-neg_binary64`
44×	`cube-mult_binary64`
40×	`distribute-rgt-in_binary64`
39×	`*-rgt-identity_binary64`
34×	`cancel-sign-sub-inv_binary64`
29×	`unsub-neg_binary64`
24×	`associate--r+_binary64`
23×	`*-lft-identity_binary64`
19×	`neg-mul-1_binary64`
18×	`rem-sqrt-square_binary64` `associate--r-_binary64`
17×	`associate--l+_binary64`
15×	`distribute-neg-in_binary64` `associate-+l-_binary64`
14×	`neg-sub0_binary64`
13×	`+-commutative_binary64`
12×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
11×	`log-prod_binary64` `associate-+l+_binary64`
10×	`exp-prod_binary64` `sub0-neg_binary64` `associate-+r+_binary64`
9×	`log-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
8×	`associate-+r-_binary64`
7×	`pow-plus_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`unpow2_binary64` `distribute-lft-in_binary64`
4×	`remove-double-neg_binary64` `remove-double-div_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
3×	`unpow1_binary64`
2×	`unpow1/2_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out--_binary64`
1×	`unpow1/3_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `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` `pow-base-0_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-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` `div-sub_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

38 → 14

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	405
1	154	369
2	387	368
3	846	368
4	1890	368
5	2010	368
6	2158	368
7	2368	368
8	2854	368
9	3108	368
10	4694	368
11	4773	368
12	5017	368

prune11.0ms (0.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	14	8	22

Error

0.0b

Counts

22 → 8

Compiler

Compiled 161 to 119 computations (26.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x 3))
0.6b	(/.f64 1 (/.f64 y (/.f64 x 3)))

rewrite305.0ms (10.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64`
229×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
57×	`associate-/r*_binary64`
28×	`add-exp-log_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 274

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 y (/.f64 x 3)))
6.0ms	(/.f64 y (/.f64 x 3))

Compiler

Compiled 5248 to 3545 computations (32.5% saved)

series34.0ms (1.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 y (/.f64 x 3)))
14.0ms	(/.f64 y (/.f64 x 3))

Compiler

Compiled 156 to 154 computations (1.3% saved)

simplify378.0ms (13.4%)

Algorithm

1×	egg-herbie

Rules

413×	`associate-/r/_binary64`
382×	`unsub-neg_binary64`
381×	`distribute-neg-in_binary64`
324×	`distribute-rgt-in_binary64`
264×	`associate-*l/_binary64`
259×	`associate-/l/_binary64`
237×	`sub-neg_binary64`
226×	`distribute-lft-in_binary64`
219×	`*-commutative_binary64`
212×	`associate-*r/_binary64`
183×	`cancel-sign-sub-inv_binary64`
174×	`neg-mul-1_binary64`
167×	`neg-sub0_binary64`
157×	`associate-+r+_binary64`
149×	`associate-/r*_binary64`
142×	`associate-/l*_binary64`
124×	`sqr-pow_binary64`
120×	`associate--r+_binary64`
107×	`associate--r-_binary64`
105×	`associate-+r-_binary64`
104×	`div-sub_binary64`
98×	`*-rgt-identity_binary64`
77×	`associate-r_binary64`
74×	`associate-+l+_binary64`
70×	`times-frac_binary64`
56×	`*-lft-identity_binary64` `unswap-sqr_binary64`
52×	`associate--l+_binary64`
48×	`associate-+l-_binary64`
43×	`associate-l_binary64`
41×	`cube-prod_binary64`
38×	`+-commutative_binary64`
33×	`pow-sqr_binary64`
31×	`associate--l-_binary64`
29×	`exp-prod_binary64`
28×	`log-prod_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64`
27×	`log-div_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`cube-div_binary64`
23×	`rem-sqrt-square_binary64`
21×	`distribute-lft-neg-in_binary64`
20×	`remove-double-div_binary64`
19×	`sub0-neg_binary64`
18×	`unpow3_binary64`
17×	`+-rgt-identity_binary64` `+-lft-identity_binary64`
15×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
11×	`/-rgt-identity_binary64`
10×	`cube-mult_binary64` `--rgt-identity_binary64`
9×	`cube-unmult_binary64` `remove-double-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
8×	`log-rec_binary64`
7×	`unpow1/2_binary64`
6×	`prod-exp_binary64`
5×	`exp-diff_binary64`
4×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
3×	`exp-sum_binary64` `distribute-lft1-in_binary64`
2×	`exp-lft-cube_binary64` `exp-cbrt_binary64` `div0_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `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` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

286 → 236

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	6208
1	741	5694
2	2660	5609
3	2768	5609
4	3710	5609
5	4207	5609
6	4704	5609
7	4997	5609
8	4907	5609

prune111.0ms (3.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	235	1	236
Fresh	3	1	4
Picked	1	0	1
Done	0	3	3
Total	239	5	244

Error

Counts

244 → 5

Compiler

Compiled 2534 to 1514 computations (40.3% saved)

regimes713.0ms (25.3%)

Accuracy

Total 0.2b remaining (90.5%)

Threshold costs 0.2b (90.5%)

Compiler

Compiled 5074 to 4618 computations (9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

sample519.0ms (18.4%)

Algorithm

1×

intervals

Results

171.0ms	8000×	body	128	valid
8.0ms	176×	body	128	invalid

Compiler

Compiled 51 to 59 computations (-15.7% saved)

Details

analyze79.0ms (2.8%)

sample13.0ms (0.5%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite27.0ms (1%)

series16.0ms (0.6%)

simplify135.0ms (4.8%)

prune14.0ms (0.5%)

localize4.0ms (0.1%)

rewrite66.0ms (2.3%)

series21.0ms (0.7%)

simplify148.0ms (5.2%)

prune22.0ms (0.8%)

localize8.0ms (0.3%)

rewrite33.0ms (1.2%)

series17.0ms (0.6%)

simplify128.0ms (4.5%)

prune11.0ms (0.4%)

localize5.0ms (0.2%)

rewrite305.0ms (10.8%)

series34.0ms (1.2%)

simplify378.0ms (13.4%)

prune111.0ms (3.9%)

regimes713.0ms (25.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample519.0ms (18.4%)

Profiling