Details

analyze519.0ms (21.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

376×	`distribute-rgt-in_binary64`
360×	`unsub-neg_binary64`
336×	`sub-neg_binary64`
225×	`associate-+r+_binary64`
220×	`distribute-lft-in_binary64`
207×	`associate-+l+_binary64`
195×	`associate-+l-_binary64`
174×	`associate--r+_binary64`
147×	`distribute-neg-in_binary64`
132×	`cancel-sign-sub-inv_binary64`
102×	`associate--r-_binary64`
99×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
93×	`associate--l+_binary64`
81×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
75×	`sub0-neg_binary64` `distribute-rgt-neg-in_binary64`
66×	`associate-+r-_binary64`
60×	`distribute-neg-out_binary64`
57×	`-rgt-identity_binary64` `associate-l*_binary64`
55×	`*-commutative_binary64`
51×	`associate-r_binary64`
37×	`+-commutative_binary64`
36×	`distribute-rgt-out_binary64`
33×	`distribute-rgt-out--_binary64`
21×	`*-lft-identity_binary64` `remove-double-neg_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`
15×	`+-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
12×	`--rgt-identity_binary64`
9×	`+-lft-identity_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `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` `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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	28	40
2	80	40
3	174	40
4	394	40
5	720	40
6	988	40
7	1832	40
8	1400	40
9	1481	40
10	1481	40
11	1487	40
12	1487	40
13	1429	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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample26.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

145×	`distribute-rgt-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`
114×	`associate--r+_binary64`
105×	`unsub-neg_binary64`
78×	`distribute-lft-in_binary64`
75×	`associate-+r+_binary64`
72×	`associate-+l-_binary64`
69×	`associate-+l+_binary64`
62×	`distribute-neg-in_binary64`
46×	`associate--r-_binary64`
39×	`neg-mul-1_binary64`
37×	`neg-sub0_binary64`
36×	`distribute-lft-neg-out_binary64`
27×	`distribute-rgt-neg-out_binary64` `associate-l_binary64`
26×	`associate--l+_binary64` `*-commutative_binary64`
25×	`*-rgt-identity_binary64` `sub0-neg_binary64`
24×	`associate-r_binary64`
20×	`distribute-neg-out_binary64` `distribute-rgt-neg-in_binary64`
16×	`distribute-rgt-out--_binary64`
14×	`associate-+r-_binary64` `+-commutative_binary64`
12×	`distribute-rgt-out_binary64`
11×	`remove-double-neg_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`*-lft-identity_binary64`
7×	`+-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
5×	`--rgt-identity_binary64`
4×	`associate--l-_binary64`
3×	`+-lft-identity_binary64` `distribute-lft-out--_binary64`
2×	`mul-1-neg_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-rgt1-in_binary64` `distribute-lft1-in_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 38

Calls

1 calls:

9.0ms

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

Compiler

Compiled 584 to 289 computations (50.5% saved)

series35.0ms (1.4%)

Error

Counts

1 → 18

Calls

1 calls:

29.0ms

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

Compiler

Compiled 276 to 215 computations (22.1% saved)

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
426×	`unsub-neg_binary64`
274×	`distribute-lft-neg-out_binary64`
273×	`distribute-rgt-neg-out_binary64`
223×	`exp-prod_binary64`
219×	`*-commutative_binary64`
164×	`exp-sum_binary64`
140×	`exp-diff_binary64`
115×	`cancel-sign-sub-inv_binary64`
94×	`associate-l_binary64`
92×	`sub-neg_binary64` `associate-+l+_binary64`
90×	`exp-neg_binary64`
89×	`neg-sub0_binary64`
85×	`neg-mul-1_binary64`
80×	`associate-r_binary64`
76×	`associate-+r+_binary64`
71×	`distribute-neg-out_binary64`
64×	`*-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
63×	`*-rgt-identity_binary64`
50×	`distribute-lft-neg-in_binary64`
37×	`sqr-pow_binary64` `+-commutative_binary64`
24×	`associate-+l-_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
18×	`unswap-sqr_binary64`
17×	`swap-sqr_binary64` `associate-+r-_binary64`
15×	`cube-prod_binary64`
14×	`distribute-neg-in_binary64`
13×	`distribute-rgt-out_binary64`
12×	`cancel-sign-sub_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`log-prod_binary64` `sub0-neg_binary64` `associate--l+_binary64`
8×	`+-rgt-identity_binary64`
7×	`associate--r+_binary64`
6×	`pow-sqr_binary64`
5×	`unpow3_binary64` `cube-unmult_binary64`
4×	`unpow1/2_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out_binary64`
3×	`cube-mult_binary64` `div-sub_binary64` `distribute-rgt1-in_binary64`
2×	`mul-1-neg_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `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` `prod-exp_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_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--r-_binary64` `associate--l-_binary64`

Counts

56 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	846
1	287	732
2	897	732
3	2775	732
4	4512	732
5	4978	732

prune24.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Error

Counts

51 → 3

Compiler

Compiled 437 to 229 computations (47.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.0b	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))
11.6b	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))

rewrite75.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 66

Calls

2 calls:

13.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))
8.0ms	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))

Compiler

Compiled 1528 to 749 computations (51% saved)

series122.0ms (5%)

Error

Counts

2 → 36

Calls

2 calls:

66.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))
45.0ms	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))

Compiler

Compiled 1147 to 906 computations (21% saved)

simplify101.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

949×	`times-frac_binary64`
601×	`associate-/l*_binary64`
239×	`associate-*l/_binary64`
219×	`associate-/l/_binary64`
206×	`associate-/r*_binary64`
176×	`distribute-rgt-in_binary64`
155×	`distribute-lft-in_binary64`
145×	`associate-/r/_binary64`
125×	`cancel-sign-sub-inv_binary64`
120×	`exp-prod_binary64`
112×	`associate-l_binary64`
94×	`associate-r_binary64`
84×	`log-div_binary64`
83×	`cube-prod_binary64`
77×	`*-commutative_binary64`
75×	`cube-div_binary64` `div-sub_binary64` `sub-neg_binary64`
74×	`log-prod_binary64`
60×	`distribute-rgt-neg-in_binary64`
44×	`distribute-lft-neg-in_binary64`
39×	`exp-sum_binary64` `*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
38×	`*-lft-identity_binary64`
33×	`+-commutative_binary64`
32×	`distribute-rgt-neg-out_binary64`
31×	`exp-diff_binary64`
30×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
25×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
21×	`associate-*r/_binary64`
19×	`unswap-sqr_binary64`
17×	`log-rec_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
16×	`unpow3_binary64` `associate--r+_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-out_binary64`
12×	`/-rgt-identity_binary64`
11×	`cube-mult_binary64` `associate-+l+_binary64`
10×	`swap-sqr_binary64`
9×	`cube-unmult_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`pow-plus_binary64`
2×	`unpow1/2_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `associate-+l-_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-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-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

102 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2267
1	453	1926
2	1656	1879
3	4497	1879
4	4966	1879

prune43.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1130 to 589 computations (47.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y x))
0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x))))

rewrite107.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`sqrt-div_binary64`
32×	`frac-times_binary64`
23×	`flip3-+_binary64` `flip-+_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
16×	`associate-*r/_binary64`
13×	`pow1_binary64` `associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
8×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`distribute-lft-out--_binary64`

Counts

4 → 114

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x))))
10.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x)))
3.0ms	(sqrt.f64 (+.f64 y x))
3.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 2637 to 1017 computations (61.4% saved)

series110.0ms (4.5%)

Error

Counts

4 → 48

Calls

4 calls:

36.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x)))
30.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 y x))))
17.0ms	(sqrt.f64 (+.f64 x y))
17.0ms	(sqrt.f64 (+.f64 y x))

Compiler

Compiled 1565 to 1133 computations (27.6% saved)

simplify150.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
569×	`distribute-lft-in_binary64`
390×	`*-commutative_binary64`
299×	`cancel-sign-sub-inv_binary64`
245×	`distribute-lft-neg-out_binary64`
231×	`distribute-rgt-neg-out_binary64`
221×	`associate-+l-_binary64`
205×	`associate-r_binary64`
196×	`associate-l_binary64`
165×	`sub-neg_binary64`
153×	`distribute-rgt-neg-in_binary64`
120×	`distribute-lft-neg-in_binary64`
110×	`exp-prod_binary64`
93×	`neg-sub0_binary64`
90×	`neg-mul-1_binary64`
82×	`unsub-neg_binary64`
59×	`+-commutative_binary64`
55×	`distribute-rgt-out--_binary64`
54×	`*-rgt-identity_binary64`
53×	`*-lft-identity_binary64` `associate--l+_binary64` `associate--r+_binary64`
47×	`sqr-pow_binary64`
40×	`associate-+l+_binary64`
22×	`swap-sqr_binary64` `associate-+r-_binary64`
21×	`exp-sum_binary64` `associate-+r+_binary64`
18×	`unswap-sqr_binary64`
16×	`exp-diff_binary64` `cube-prod_binary64` `+-rgt-identity_binary64`
15×	`log-prod_binary64` `sub0-neg_binary64` `distribute-rgt-out_binary64`
13×	`distribute-rgt1-in_binary64`
10×	`associate-/l*_binary64`
8×	`pow-sqr_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`
7×	`div-sub_binary64` `associate-/r*_binary64` `associate--r-_binary64`
6×	`associate-*r/_binary64` `associate--l-_binary64`
5×	`rem-sqrt-square_binary64` `associate-/l/_binary64`
4×	`unpow3_binary64` `unpow1/2_binary64` `cube-unmult_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64` `associate-/r/_binary64`
2×	`difference-of-sqr-1_binary64` `difference-of-squares_binary64` `count-2_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `cancel-sign-sub_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` `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-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` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`

Counts

162 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	3229
1	495	2948
2	1293	2740
3	3026	2736
4	4974	2736
5	5018	2736

prune55.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 1869 to 738 computations (60.5% saved)

regimes279.0ms (11.4%)

Accuracy

Total 0.0b remaining (45.9%)

Threshold costs 0.0b (45.9%)

Compiler

Compiled 2280 to 2036 computations (10.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-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` `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` `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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	15	16
2	24	16
3	43	16
4	54	16
5	62	16
6	65	16
7	65	16

end6.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 33 to 24 computations (27.3% saved)

sample606.0ms (24.8%)

Algorithm

1×

intervals

Results

217.0ms	7997×	body	128	valid
15.0ms	574×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 55 to 60 computations (-9.1% saved)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

Details

analyze519.0ms (21.2%)

sample26.0ms (1.1%)

simplify37.0ms (1.5%)

prune1.0ms (0.1%)

localize6.0ms (0.2%)

rewrite42.0ms (1.7%)

series35.0ms (1.4%)

simplify79.0ms (3.2%)

prune24.0ms (1%)

localize9.0ms (0.4%)

rewrite75.0ms (3.1%)

series122.0ms (5%)

simplify101.0ms (4.1%)

prune43.0ms (1.8%)

localize11.0ms (0.4%)

rewrite107.0ms (4.4%)

series110.0ms (4.5%)

simplify150.0ms (6.1%)

prune55.0ms (2.2%)

regimes279.0ms (11.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end6.0ms (0.2%)

sample606.0ms (24.8%)

Profiling

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10