Details

analyze365.0ms (15.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

322×	`cancel-sign-sub-inv_binary64`
134×	`sub-neg_binary64`
126×	`distribute-rgt-in_binary64`
123×	`associate--r+_binary64`
93×	`unsub-neg_binary64`
91×	`distribute-rgt-neg-in_binary64`
75×	`distribute-lft-in_binary64`
69×	`distribute-neg-in_binary64`
62×	`associate-+l-_binary64`
49×	`neg-mul-1_binary64`
48×	`associate-+l+_binary64`
47×	`+-commutative_binary64`
46×	`distribute-lft-neg-out_binary64`
44×	`distribute-lft-neg-in_binary64`
43×	`associate--l+_binary64`
37×	`associate-r_binary64`
36×	`associate-+r+_binary64`
35×	`*-commutative_binary64`
34×	`sub0-neg_binary64`
28×	`associate--r-_binary64`
27×	`neg-sub0_binary64` `distribute-rgt-out--_binary64`
22×	`+-lft-identity_binary64`
20×	`*-lft-identity_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64`
17×	`distribute-rgt-neg-out_binary64`
12×	`remove-double-neg_binary64`
11×	`associate-+r-_binary64`
8×	`associate-l_binary64`
6×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `--rgt-identity_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` `/-rgt-identity_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify22.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

95×	`cancel-sign-sub-inv_binary64`
50×	`sub-neg_binary64`
42×	`distribute-rgt-neg-in_binary64`
39×	`associate--r+_binary64`
38×	`distribute-rgt-in_binary64`
35×	`unsub-neg_binary64`
25×	`distribute-neg-in_binary64`
23×	`associate-+l-_binary64`
22×	`distribute-lft-neg-out_binary64`
21×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
20×	`distribute-lft-in_binary64`
16×	`associate-r_binary64` `+-commutative_binary64`
15×	`neg-sub0_binary64` `*-commutative_binary64`
13×	`associate-+l+_binary64`
12×	`associate--l+_binary64`
11×	`sub0-neg_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r+_binary64`
9×	`associate--r-_binary64`
8×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64`
7×	`remove-double-neg_binary64`
6×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`associate-+r-_binary64`
4×	`+-rgt-identity_binary64`
2×	`--rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-l_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `/-rgt-identity_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (+.f64 y z))

rewrite57.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
3×	`associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

2 → 39

Calls

2 calls:

6.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
6.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 502 to 144 computations (71.3% saved)

series65.0ms (2.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

30.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
24.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 430 to 344 computations (20% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
383×	`associate-r_binary64`
370×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
323×	`neg-sub0_binary64`
319×	`neg-mul-1_binary64`
249×	`distribute-rgt-out_binary64`
203×	`exp-prod_binary64`
168×	`+-commutative_binary64`
165×	`distribute-lft-out_binary64`
157×	`distribute-lft-neg-out_binary64`
155×	`distribute-rgt-neg-out_binary64`
130×	`cancel-sign-sub-inv_binary64`
105×	`times-frac_binary64`
86×	`*-commutative_binary64`
75×	`exp-sum_binary64`
72×	`unswap-sqr_binary64`
64×	`associate-+l+_binary64` `associate-+r+_binary64`
56×	`sqr-pow_binary64`
48×	`unsub-neg_binary64`
46×	`swap-sqr_binary64`
43×	`associate--l+_binary64`
38×	`sub-neg_binary64`
35×	`exp-diff_binary64`
33×	`*-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
32×	`distribute-lft-neg-in_binary64`
30×	`*-rgt-identity_binary64`
28×	`cube-prod_binary64`
27×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
20×	`distribute-neg-in_binary64`
18×	`difference-of-squares_binary64` `associate-+l-_binary64`
17×	`log-prod_binary64`
16×	`distribute-lft-out--_binary64`
14×	`associate-+r-_binary64`
12×	`div-sub_binary64` `associate--r+_binary64`
11×	`unpow3_binary64` `exp-neg_binary64` `cube-unmult_binary64`
9×	`associate-/l*_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`+-rgt-identity_binary64`
6×	`mul-1-neg_binary64` `pow-sqr_binary64`
5×	`cube-neg_binary64` `sub0-neg_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
3×	`div-exp_binary64` `cube-mult_binary64` `associate-*r/_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r*_binary64` `associate--r-_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` `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-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-neg-out_binary64` `associate-l/_binary64` `associate--l-_binary64`

Counts

72 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	682
1	208	661
2	602	655
3	2202	655
4	4147	655
5	5136	655

prune25.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 353 to 108 computations (69.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0b	(*.f64 (-.f64 x 1) z)

rewrite37.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-l*_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 538 to 298 computations (44.6% saved)

series55.0ms (2.4%)

Error

Counts

2 → 27

Calls

2 calls:

31.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
18.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 399 to 309 computations (22.6% saved)

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-+l+_binary64`
332×	`associate-l_binary64`
303×	`neg-mul-1_binary64`
263×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`
244×	`associate-r_binary64`
181×	`distribute-lft-neg-out_binary64`
176×	`distribute-rgt-neg-out_binary64`
140×	`cancel-sign-sub-inv_binary64` `associate--r+_binary64`
113×	`*-commutative_binary64`
110×	`distribute-rgt-out_binary64`
106×	`distribute-rgt-neg-in_binary64`
102×	`distribute-neg-in_binary64`
94×	`associate--l+_binary64`
86×	`exp-prod_binary64`
77×	`distribute-lft-neg-in_binary64`
72×	`sub-neg_binary64`
71×	`unsub-neg_binary64`
69×	`associate-+r-_binary64`
67×	`cube-prod_binary64`
63×	`associate-+l-_binary64`
61×	`exp-sum_binary64`
59×	`unswap-sqr_binary64`
52×	`distribute-lft-out_binary64`
43×	`log-prod_binary64`
42×	`exp-diff_binary64`
41×	`sqr-pow_binary64`
36×	`neg-sub0_binary64`
30×	`*-rgt-identity_binary64`
29×	`*-lft-identity_binary64` `+-commutative_binary64`
26×	`distribute-rgt-out--_binary64`
24×	`div-sub_binary64`
17×	`mul-1-neg_binary64` `associate-+r+_binary64`
15×	`associate--r-_binary64`
14×	`+-rgt-identity_binary64` `swap-sqr_binary64`
13×	`unpow3_binary64`
10×	`cube-unmult_binary64`
9×	`cube-neg_binary64` `sqr-neg_binary64` `associate--l-_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow-sqr_binary64` `associate-/l*_binary64`
5×	`cube-mult_binary64` `remove-double-neg_binary64`
4×	`exp-neg_binary64` `sub0-neg_binary64`
3×	`difference-of-sqr-1_binary64` `associate-*r/_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr--1_binary64` `count-2_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `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-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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

62 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	681
1	200	624
2	592	624
3	1897	615
4	4615	615
5	5092	615

prune29.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Compiler

Compiled 441 to 160 computations (63.7% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))
0.6b	(cbrt.f64 (+.f64 z y))
0.6b	(cbrt.f64 (+.f64 z y))
0.6b	(cbrt.f64 (+.f64 y z))

rewrite87.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `swap-sqr_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))
3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 2155 to 507 computations (76.5% saved)

series145.0ms (6.2%)

Error

Counts

4 → 42

Calls

4 calls:

35.0ms	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))
32.0ms	(cbrt.f64 (+.f64 y z))
31.0ms	(cbrt.f64 (+.f64 z y))
28.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 2410 to 1779 computations (26.2% saved)

simplify177.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-l_binary64`
279×	`unswap-sqr_binary64`
260×	`associate-r_binary64`
239×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
192×	`sqr-pow_binary64`
164×	`log-prod_binary64`
163×	`sub-neg_binary64`
153×	`exp-sum_binary64`
141×	`unsub-neg_binary64`
139×	`exp-prod_binary64`
115×	`*-commutative_binary64`
105×	`neg-mul-1_binary64`
103×	`neg-sub0_binary64`
102×	`cancel-sign-sub-inv_binary64`
92×	`distribute-rgt-out_binary64`
81×	`distribute-lft-out_binary64`
80×	`associate-+r+_binary64`
75×	`associate-+l+_binary64`
64×	`distribute-rgt-neg-in_binary64`
61×	`log-pow_binary64`
60×	`log-div_binary64`
59×	`exp-diff_binary64`
58×	`distribute-lft-neg-in_binary64`
57×	`unpow3_binary64`
52×	`cube-prod_binary64` `*-lft-identity_binary64`
51×	`*-rgt-identity_binary64`
46×	`div-sub_binary64`
45×	`pow-sqr_binary64` `+-commutative_binary64`
41×	`pow-plus_binary64` `+-lft-identity_binary64`
40×	`associate--r+_binary64`
38×	`prod-exp_binary64`
33×	`associate-+l-_binary64`
32×	`div-exp_binary64` `cube-div_binary64`
31×	`cube-unmult_binary64` `sub0-neg_binary64`
29×	`exp-to-pow_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
26×	`swap-sqr_binary64`
24×	`distribute-lft-neg-out_binary64`
20×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
17×	`unpow1/3_binary64`
16×	`rem-sqrt-square_binary64`
14×	`difference-of-squares_binary64`
13×	`+-rgt-identity_binary64` `associate-/l/_binary64` `associate-/l*_binary64`
10×	`log-rec_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64`
9×	`rem-exp-log_binary64`
8×	`unpow1/2_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
7×	`associate-*r/_binary64`
6×	`unpow2_binary64` `unpow-1_binary64` `rec-exp_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `count-2_binary64`
5×	`unpow1_binary64` `times-frac_binary64`
4×	`mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--l+_binary64`
3×	`rem-3cbrt-lft_binary64`
2×	`remove-double-div_binary64` `associate--l-_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-inverses_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

137 → 101

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	2011
1	269	2001
2	560	1928
3	1658	1908
4	3818	1740
5	4596	1740
6	4887	1740
7	4888	1740

prune42.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Error

Counts

103 → 2

Compiler

Compiled 1198 to 382 computations (68.1% saved)

regimes400.0ms (17%)

Accuracy

Total 0.0b remaining (37.4%)

Threshold costs 0.0b (37.4%)

Compiler

Compiled 3774 to 2886 computations (23.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-lft-identity_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	22	13
3	24	13
4	25	13
5	24	13

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample625.0ms (26.6%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
22.0ms	650×	body	128	invalid

Compiler

Compiled 49 to 50 computations (-2% saved)

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Details

analyze365.0ms (15.6%)

sample18.0ms (0.8%)

simplify22.0ms (0.9%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite57.0ms (2.4%)

series65.0ms (2.8%)

simplify79.0ms (3.4%)

prune25.0ms (1.1%)

localize7.0ms (0.3%)

rewrite37.0ms (1.6%)

series55.0ms (2.4%)

simplify88.0ms (3.7%)

prune29.0ms (1.2%)

localize11.0ms (0.5%)

rewrite87.0ms (3.7%)

series145.0ms (6.2%)

simplify177.0ms (7.5%)

prune42.0ms (1.8%)

regimes400.0ms (17%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample625.0ms (26.6%)

Profiling

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10