Details

analyze108.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Rules

116×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-in_binary64`
68×	`sub-neg_binary64`
62×	`unsub-neg_binary64`
58×	`associate--r+_binary64`
56×	`distribute-neg-in_binary64`
54×	`distribute-lft-in_binary64`
44×	`distribute-rgt-neg-in_binary64`
38×	`associate-+r+_binary64`
32×	`neg-mul-1_binary64`
30×	`associate-+l-_binary64`
29×	`+-commutative_binary64`
26×	`associate--l+_binary64` `associate-+l+_binary64`
25×	`*-commutative_binary64`
20×	`neg-sub0_binary64`
17×	`distribute-lft-neg-out_binary64` `associate-l_binary64`
16×	`associate-+r-_binary64`
14×	`distribute-rgt-out--_binary64`
12×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-neg-in_binary64`
10×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
9×	`remove-double-neg_binary64` `associate-r_binary64`
8×	`*-lft-identity_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`+-rgt-identity_binary64`
4×	`+-lft-identity_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
3×	`*-rgt-identity_binary64`
2×	`distribute-lft1-in_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` `mul-1-neg_binary64` `/-rgt-identity_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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	20	20
2	41	20
3	73	20
4	153	20
5	281	20
6	530	20
7	493	20
8	465	20
9	465	20
10	418	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify20.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

73×	`cancel-sign-sub-inv_binary64`
51×	`sub-neg_binary64`
46×	`distribute-rgt-in_binary64`
38×	`associate--r+_binary64`
31×	`distribute-neg-in_binary64`
29×	`distribute-lft-in_binary64`
27×	`unsub-neg_binary64`
25×	`distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
21×	`associate-+l+_binary64`
19×	`associate-+r+_binary64`
18×	`+-commutative_binary64`
17×	`neg-mul-1_binary64`
15×	`associate--l+_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`associate-l_binary64`
11×	`neg-sub0_binary64` `associate-r_binary64` `*-commutative_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`sub0-neg_binary64` `associate--r-_binary64` `associate-+r-_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-neg-in_binary64`
6×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
5×	`*-lft-identity_binary64` `remove-double-neg_binary64`
3×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	25	10
3	41	10
4	84	10
5	138	10
6	260	10
7	333	10
8	308	10
9	295	10
10	256	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 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (2.8%)

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-l_binary64`
3×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`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 → 35

Calls

2 calls:

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

Compiler

Compiled 466 to 301 computations (35.4% saved)

series42.0ms (2.7%)

Error

Counts

2 → 21

Calls

2 calls:

18.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
15.0ms	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 250 to 189 computations (24.4% saved)

simplify113.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

323×	`associate-l_binary64`
293×	`distribute-rgt-in_binary64`
285×	`distribute-lft-in_binary64`
269×	`associate-r_binary64`
266×	`exp-prod_binary64`
257×	`unswap-sqr_binary64`
254×	`distribute-rgt-out_binary64`
228×	`unsub-neg_binary64`
191×	`+-commutative_binary64`
154×	`neg-sub0_binary64`
149×	`neg-mul-1_binary64`
144×	`sub-neg_binary64`
128×	`distribute-lft-out_binary64`
111×	`cancel-sign-sub-inv_binary64`
109×	`sqr-pow_binary64`
106×	`difference-of-squares_binary64`
77×	`distribute-lft-neg-out_binary64`
74×	`distribute-rgt-neg-out_binary64`
71×	`exp-sum_binary64`
64×	`*-commutative_binary64`
60×	`times-frac_binary64`
52×	`exp-diff_binary64` `associate-+r+_binary64`
51×	`associate--l+_binary64` `associate-+l+_binary64`
45×	`cube-prod_binary64`
31×	`*-lft-identity_binary64`
29×	`*-rgt-identity_binary64`
26×	`associate--r+_binary64`
25×	`pow-sqr_binary64`
22×	`distribute-rgt-neg-in_binary64`
21×	`distribute-lft-neg-in_binary64`
20×	`log-prod_binary64` `sqr-neg_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
19×	`associate-+l-_binary64`
17×	`distribute-lft1-in_binary64`
16×	`unpow3_binary64`
15×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
14×	`cube-unmult_binary64` `associate-+r-_binary64`
13×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
12×	`+-rgt-identity_binary64`
10×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-lft-out--_binary64`
7×	`div-sub_binary64` `associate-/l*_binary64`
6×	`unpow1/2_binary64` `mul-1-neg_binary64`
5×	`cube-mult_binary64`
4×	`cube-neg_binary64` `rem-sqrt-square_binary64` `difference-of-sqr--1_binary64` `associate-*r/_binary64`
3×	`div-exp_binary64` `exp-neg_binary64` `--rgt-identity_binary64`
2×	`distribute-neg-out_binary64`
1×	`unpow2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_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` `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` `+-lft-identity_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-frac-neg_binary64` `associate-l/_binary64` `associate--l-_binary64`

Counts

56 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	568
1	178	547
2	500	541
3	1886	541
4	3272	541
5	4859	541
6	4971	541
7	4937	541

prune18.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Compiler

Compiled 325 to 122 computations (62.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`sum-log_binary64` `diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(-.f64 (+.f64 y (*.f64 y x)) x)
3.0ms	(+.f64 y (*.f64 y x))

Compiler

Compiled 411 to 105 computations (74.5% saved)

series40.0ms (2.6%)

Error

Counts

2 → 21

Calls

2 calls:

19.0ms	(-.f64 (+.f64 y (*.f64 y x)) x)
14.0ms	(+.f64 y (*.f64 y x))

Compiler

Compiled 250 to 189 computations (24.4% saved)

simplify83.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

391×	`distribute-rgt-out_binary64`
349×	`associate-l_binary64`
325×	`associate-r_binary64`
251×	`distribute-rgt-in_binary64`
244×	`exp-prod_binary64`
241×	`cancel-sign-sub-inv_binary64`
227×	`distribute-lft-out_binary64`
226×	`distribute-lft-in_binary64`
225×	`neg-mul-1_binary64`
115×	`distribute-lft-neg-out_binary64`
106×	`distribute-rgt-neg-out_binary64`
102×	`unswap-sqr_binary64`
86×	`times-frac_binary64`
75×	`unsub-neg_binary64`
67×	`sub-neg_binary64`
66×	`distribute-rgt-neg-in_binary64`
64×	`cube-prod_binary64` `distribute-rgt-out--_binary64` `*-commutative_binary64`
59×	`associate-+l+_binary64`
58×	`exp-sum_binary64`
57×	`distribute-lft-neg-in_binary64`
50×	`swap-sqr_binary64` `associate-+l-_binary64`
48×	`+-commutative_binary64`
46×	`sqr-pow_binary64`
44×	`distribute-lft-out--_binary64`
42×	`associate-+r-_binary64`
41×	`associate-+r+_binary64`
40×	`associate--l+_binary64`
39×	`exp-diff_binary64` `associate--r+_binary64`
25×	`neg-sub0_binary64`
22×	`difference-of-squares_binary64`
17×	`unpow3_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
16×	`associate-/l*_binary64`
15×	`sqr-neg_binary64`
13×	`distribute-lft1-in_binary64`
12×	`cube-unmult_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`cube-mult_binary64`
10×	`log-prod_binary64`
9×	`pow-plus_binary64` `div-sub_binary64`
8×	`sub0-neg_binary64`
7×	`pow-sqr_binary64`
6×	`associate-/r/_binary64` `associate-/r_binary64` `associate-r/_binary64`
5×	`div-exp_binary64` `associate-/l/_binary64`
4×	`mul-1-neg_binary64`
3×	`exp-neg_binary64` `cube-neg_binary64`
2×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_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` `unpow1/2_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

50 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	562
1	180	538
2	528	529
3	2188	529
4	4433	529
5	5047	529

prune15.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 303 to 90 computations (70.3% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite121.0ms (7.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-div_binary64`
13×	`sqrt-prod_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
10×	`associate-r/_binary64` `associate-l*_binary64`
8×	`flip3-+_binary64` `flip-+_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64` `cancel-sign-sub-inv_binary64`
2×	`associate-l/_binary64` `-commutative_binary64` `unswap-sqr_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 85

Calls

4 calls:

16.0ms	(-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1)))) x)
12.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
8.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1686 to 1222 computations (27.5% saved)

series79.0ms (5.1%)

Error

Counts

4 → 36

Calls

4 calls:

20.0ms	(-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1)))) x)
20.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
18.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
10.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 757 to 579 computations (23.5% saved)

simplify157.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-+l+_binary64`
574×	`associate-+r+_binary64`
319×	`*-commutative_binary64`
310×	`unswap-sqr_binary64`
206×	`unsub-neg_binary64`
203×	`distribute-rgt-in_binary64`
196×	`sub-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`
185×	`distribute-lft-in_binary64`
139×	`sqr-pow_binary64`
138×	`associate-r_binary64`
136×	`times-frac_binary64` `associate-l_binary64`
121×	`+-commutative_binary64`
112×	`exp-prod_binary64`
104×	`neg-mul-1_binary64`
96×	`neg-sub0_binary64`
87×	`difference-of-squares_binary64`
70×	`exp-sum_binary64`
59×	`distribute-rgt-out_binary64` `associate-+l-_binary64`
57×	`associate--l+_binary64`
56×	`distribute-rgt-neg-in_binary64`
54×	`associate--r+_binary64`
46×	`exp-diff_binary64`
42×	`distribute-lft-neg-in_binary64`
39×	`cube-prod_binary64`
38×	`+-rgt-identity_binary64`
37×	`pow-sqr_binary64`
31×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
30×	`associate-+r-_binary64`
29×	`log-prod_binary64`
28×	`sub0-neg_binary64` `swap-sqr_binary64`
24×	`distribute-lft-neg-out_binary64`
22×	`distribute-lft-out_binary64`
21×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
20×	`associate-/l*_binary64`
16×	`rem-sqrt-square_binary64`
15×	`unpow3_binary64`
13×	`distribute-rgt1-in_binary64`
12×	`distribute-lft-out--_binary64`
11×	`unpow1/2_binary64`
10×	`cube-unmult_binary64` `div-sub_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r*_binary64`
9×	`distribute-neg-in_binary64`
6×	`sqr-neg_binary64` `rem-square-sqrt_binary64`
5×	`remove-double-neg_binary64` `difference-of-sqr--1_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
4×	`cube-mult_binary64` `+-lft-identity_binary64` `associate-/r/_binary64`
3×	`pow-plus_binary64` `div-exp_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_binary64`
2×	`unpow2_binary64` `cube-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `cancel-sign-sub_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` `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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-l/_binary64` `associate--l-_binary64`

Counts

121 → 88

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	148	1700
1	329	1398
2	853	1348
3	1703	1345
4	3345	1345
5	4908	1344
6	4998	1344
7	4865	1344

prune41.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 835 to 477 computations (42.9% saved)

regimes89.0ms (5.8%)

Accuracy

Total 0.0b remaining (60.8%)

Threshold costs 0.0b (60.8%)

Compiler

Compiled 399 to 380 computations (4.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample493.0ms (32.2%)

Algorithm

1×

intervals

Results

192.0ms	7997×	body	128	valid
1.0ms	61×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 45 to 45 computations (0% saved)

Iter	Nodes	Cost
0	10	20
1	20	20
2	41	20
3	73	20
4	153	20
5	281	20
6	530	20
7	493	20
8	465	20
9	465	20
10	418	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	25	10
3	41	10
4	84	10
5	138	10
6	260	10
7	333	10
8	308	10
9	295	10
10	256	10

Iter	Nodes	Cost
0	10	20
1	20	20
2	41	20
3	73	20
4	153	20
5	281	20
6	530	20
7	493	20
8	465	20
9	465	20
10	418	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	25	10
3	41	10
4	84	10
5	138	10
6	260	10
7	333	10
8	308	10
9	295	10
10	256	10

Details

analyze108.0ms (7%)

sample17.0ms (1.1%)

simplify20.0ms (1.3%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite43.0ms (2.8%)

series42.0ms (2.7%)

simplify113.0ms (7.4%)

prune18.0ms (1.2%)

localize4.0ms (0.3%)

rewrite29.0ms (1.9%)

series40.0ms (2.6%)

simplify83.0ms (5.4%)

prune15.0ms (1%)

localize8.0ms (0.5%)

rewrite121.0ms (7.9%)

series79.0ms (5.1%)

simplify157.0ms (10.3%)

prune41.0ms (2.7%)

regimes89.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample493.0ms (32.2%)

Profiling

Iter	Nodes	Cost
0	10	20
1	20	20
2	41	20
3	73	20
4	153	20
5	281	20
6	530	20
7	493	20
8	465	20
9	465	20
10	418	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	25	10
3	41	10
4	84	10
5	138	10
6	260	10
7	333	10
8	308	10
9	295	10
10	256	10