Details

analyze344.0ms (11.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

200×	`cancel-sign-sub-inv_binary64`
163×	`sub-neg_binary64`
156×	`distribute-rgt-in_binary64`
154×	`associate--r+_binary64`
94×	`associate-+l-_binary64`
80×	`unsub-neg_binary64`
61×	`distribute-neg-in_binary64`
56×	`associate--l+_binary64` `+-commutative_binary64`
51×	`distribute-rgt-neg-in_binary64`
49×	`neg-mul-1_binary64`
47×	`distribute-lft-neg-out_binary64`
40×	`distribute-lft-in_binary64` `associate-+r+_binary64` `*-commutative_binary64`
39×	`associate-l_binary64`
38×	`neg-sub0_binary64`
36×	`associate-+l+_binary64`
34×	`distribute-rgt-neg-out_binary64`
32×	`associate-r_binary64`
24×	`associate--r-_binary64`
23×	`sub0-neg_binary64`
21×	`distribute-lft-neg-in_binary64`
14×	`*-lft-identity_binary64`
13×	`*-rgt-identity_binary64`
12×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
10×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
8×	`distribute-lft-out--_binary64`
6×	`sin-neg_binary64`
4×	`associate--l-_binary64`
3×	`cos-neg_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` `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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-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	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample38.0ms (1.3%)

Algorithm

1×

intervals

Results

11.0ms	184×	body	128	valid
9.0ms	34×	body	1024	valid
4.0ms	21×	body	512	valid
2.0ms	16×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

66×	`cancel-sign-sub-inv_binary64`
46×	`sub-neg_binary64`
44×	`distribute-rgt-in_binary64` `associate--r+_binary64`
35×	`unsub-neg_binary64`
24×	`neg-mul-1_binary64`
21×	`associate-+l-_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`neg-sub0_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-in_binary64` `distribute-lft-in_binary64` `associate--l+_binary64`
15×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
11×	`*-commutative_binary64`
10×	`associate-+r+_binary64`
9×	`sub0-neg_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64`
8×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
5×	`*-rgt-identity_binary64` `remove-double-neg_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r-_binary64`
3×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
2×	`associate-l_binary64`
1×	`1-exp_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` `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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `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	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(+.f64 x (cos.f64 y))

Compiler

Compiled 403 to 115 computations (71.5% saved)

series51.0ms (1.7%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

21.0ms	(*.f64 z (sin.f64 y))
18.0ms	(+.f64 x (cos.f64 y))

Compiler

Compiled 422 to 327 computations (22.5% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

454×	`unsub-neg_binary64`
437×	`cancel-sign-sub-inv_binary64`
388×	`sub-neg_binary64`
341×	`distribute-rgt-neg-in_binary64`
279×	`distribute-neg-out_binary64`
277×	`distribute-lft-neg-in_binary64`
255×	`*-commutative_binary64`
214×	`distribute-rgt-in_binary64`
207×	`unswap-sqr_binary64` `+-commutative_binary64`
203×	`associate-l_binary64`
198×	`neg-mul-1_binary64`
183×	`neg-sub0_binary64`
165×	`distribute-lft-in_binary64`
164×	`associate-r_binary64`
161×	`sqr-pow_binary64`
140×	`associate-+l-_binary64`
135×	`associate--r+_binary64`
103×	`distribute-rgt-out_binary64`
101×	`associate-+l+_binary64`
89×	`associate-+r+_binary64`
85×	`associate--l+_binary64`
62×	`associate-+r-_binary64`
60×	`distribute-neg-in_binary64`
54×	`pow-sqr_binary64` `associate--l-_binary64`
53×	`sub0-neg_binary64`
52×	`distribute-lft-neg-out_binary64`
47×	`distribute-lft-out_binary64`
46×	`distribute-rgt-out--_binary64`
36×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
33×	`cube-prod_binary64`
32×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
28×	`associate-/l/_binary64`
27×	`cube-unmult_binary64`
25×	`distribute-lft-out--_binary64`
24×	`exp-prod_binary64`
23×	`-lft-identity_binary64` `associate-/l_binary64`
22×	`+-rgt-identity_binary64`
19×	`pow-plus_binary64`
17×	`-rgt-identity_binary64` `associate-r/_binary64`
16×	`swap-sqr_binary64`
14×	`unpow3_binary64` `associate-/r/_binary64`
13×	`log-prod_binary64`
12×	`exp-sum_binary64` `rem-sqrt-square_binary64`
10×	`exp-diff_binary64` `times-frac_binary64`
8×	`log-div_binary64` `cube-div_binary64` `count-2_binary64`
7×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-/r*_binary64`
6×	`unpow2_binary64` `sqr-neg_binary64`
4×	`unpow1/2_binary64` `cube-neg_binary64` `difference-of-squares_binary64`
3×	`exp-sqrt_binary64` `cube-mult_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64`
2×	`exp-lft-sqr_binary64` `distribute-lft1-in_binary64` `associate-*l/_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `distribute-frac-neg_binary64`

Counts

48 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	455
1	189	416
2	443	410
3	976	407
4	1667	407
5	2754	407
6	3837	407
7	4832	407

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Error

0.0b

Counts

18 → 3

Compiler

Compiled 252 to 103 computations (59.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 (cos.f64 y) x))
0.4b	(cbrt.f64 (+.f64 (cos.f64 y) x))
0.4b	(cbrt.f64 (+.f64 (cos.f64 y) x))
0.4b	(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (cbrt.f64 (+.f64 (cos.f64 y) x)))

rewrite94.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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` `swap-sqr_binary64` `distribute-lft-out_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:

14.0ms	(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (cbrt.f64 (+.f64 (cos.f64 y) x)))
3.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))
3.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))
3.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))

Compiler

Compiled 2585 to 412 computations (84.1% saved)

series245.0ms (8.1%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

55.0ms	(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (cbrt.f64 (+.f64 (cos.f64 y) x)))
50.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))
49.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))
49.0ms	(cbrt.f64 (+.f64 (cos.f64 y) x))

Compiler

Compiled 3839 to 2453 computations (36.1% saved)

simplify209.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

327×	`*-commutative_binary64`
242×	`unswap-sqr_binary64`
232×	`cancel-sign-sub-inv_binary64`
217×	`distribute-rgt-neg-in_binary64`
212×	`distribute-lft-neg-in_binary64`
187×	`distribute-rgt-in_binary64`
178×	`associate-+l+_binary64`
172×	`neg-mul-1_binary64`
170×	`sqr-pow_binary64`
168×	`distribute-lft-in_binary64`
161×	`neg-sub0_binary64`
142×	`associate-+r+_binary64`
140×	`log-prod_binary64`
135×	`associate-r_binary64`
113×	`sub-neg_binary64`
106×	`associate-l_binary64` `+-commutative_binary64`
93×	`associate-/r*_binary64`
90×	`exp-prod_binary64`
75×	`unsub-neg_binary64`
68×	`log-pow_binary64`
64×	`associate-+l-_binary64`
56×	`cube-prod_binary64`
55×	`associate-/l/_binary64`
54×	`exp-sum_binary64`
35×	`associate--l+_binary64` `associate-+r-_binary64`
30×	`distribute-rgt-out_binary64` `associate--r+_binary64`
27×	`swap-sqr_binary64`
26×	`pow-plus_binary64` `rem-sqrt-square_binary64`
25×	`log-div_binary64` `+-rgt-identity_binary64`
23×	`div-sub_binary64`
22×	`unpow1/3_binary64`
21×	`pow-sqr_binary64`
20×	`exp-diff_binary64`
19×	`unpow3_binary64` `associate-/l*_binary64`
18×	`distribute-lft-out_binary64`
15×	`-rgt-identity_binary64` `-lft-identity_binary64`
14×	`cube-unmult_binary64` `difference-of-squares_binary64`
12×	`cube-mult_binary64` `sub0-neg_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`count-2_binary64`
8×	`unpow2_binary64` `times-frac_binary64` `distribute-lft-neg-out_binary64`
7×	`unpow1/2_binary64` `associate-*r/_binary64`
5×	`log-rec_binary64` `exp-to-pow_binary64` `unpow1_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
4×	`rem-exp-log_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
3×	`exp-neg_binary64` `cube-div_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `+-lft-identity_binary64`
1×	`log-E_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `distribute-rgt1-in_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` `pow-base-0_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

144 → 131

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	170	2946
1	413	2748
2	1120	2688
3	2304	2664
4	4401	2609
5	4959	2609
6	5000	2609
7	4892	2609

prune79.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 2736 to 857 computations (68.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (cos.f64 y))
0.2b	(*.f64 (sin.f64 y) (sqrt.f64 z))
0.2b	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))

rewrite50.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
9×	`associate-l_binary64`
8×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

7.0ms	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))
5.0ms	(*.f64 (sin.f64 y) (sqrt.f64 z))
3.0ms	(+.f64 x (cos.f64 y))

Compiler

Compiled 909 to 199 computations (78.1% saved)

series74.0ms (2.5%)

Error

0.0b

Counts

3 → 26

Calls

3 calls:

22.0ms	(+.f64 x (cos.f64 y))
21.0ms	(*.f64 (sin.f64 y) (sqrt.f64 z))
20.0ms	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))

Compiler

Compiled 856 to 600 computations (29.9% saved)

simplify135.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

495×	`unswap-sqr_binary64`
451×	`associate-l_binary64`
412×	`cancel-sign-sub-inv_binary64`
361×	`*-commutative_binary64`
320×	`distribute-rgt-neg-in_binary64`
300×	`distribute-lft-neg-in_binary64`
272×	`sub-neg_binary64`
265×	`distribute-rgt-in_binary64`
207×	`distribute-lft-in_binary64`
169×	`+-commutative_binary64`
166×	`sqr-pow_binary64`
151×	`unsub-neg_binary64`
140×	`neg-mul-1_binary64`
125×	`associate-r_binary64`
119×	`associate-+l+_binary64`
110×	`neg-sub0_binary64`
103×	`associate-+r+_binary64`
80×	`distribute-rgt-out_binary64` `associate--r+_binary64`
73×	`associate-+l-_binary64`
55×	`log-div_binary64`
49×	`pow-sqr_binary64`
48×	`cube-prod_binary64`
44×	`distribute-neg-in_binary64`
43×	`exp-prod_binary64`
41×	`mul0-rgt_binary64` `mul0-lft_binary64`
39×	`log-prod_binary64` `distribute-lft-out_binary64`
35×	`associate-+r-_binary64`
33×	`sub0-neg_binary64`
32×	`unpow3_binary64` `associate-/l*_binary64`
30×	`cube-unmult_binary64` `cube-div_binary64` `distribute-lft-out--_binary64`
26×	`pow-plus_binary64` `rem-sqrt-square_binary64`
25×	`+-rgt-identity_binary64`
22×	`associate--l+_binary64`
20×	`distribute-rgt-out--_binary64` `associate-/l/_binary64`
19×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
18×	`associate-*r/_binary64`
16×	`cube-mult_binary64` `*-lft-identity_binary64`
13×	`*-rgt-identity_binary64` `associate-/r/_binary64`
10×	`exp-sum_binary64` `remove-double-neg_binary64`
9×	`unpow2_binary64` `times-frac_binary64` `associate--r-_binary64`
8×	`exp-diff_binary64`
7×	`unpow1/2_binary64`
6×	`exp-sqrt_binary64`
5×	`associate-/r*_binary64`
4×	`log-rec_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate-*l/_binary64`
3×	`unpow1_binary64` `exp-lft-sqr_binary64` `cube-neg_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
2×	`prod-exp_binary64` `sqr-neg_binary64` `cancel-sign-sub_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

81 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	954
1	280	798
2	684	782
3	1361	774
4	2384	774
5	3995	774
6	4778	774
7	4988	774
8	4848	774

prune23.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

0.0b

Counts

51 → 3

Compiler

Compiled 547 to 167 computations (69.5% saved)

regimes139.0ms (4.6%)

Accuracy

Total 0.0b remaining (18.8%)

Threshold costs 0.0b (18.8%)

Compiler

Compiled 1276 to 950 computations (25.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	32	14
4	36	14
5	37	14
6	37	14

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample1.3s (44.6%)

Algorithm

1×

intervals

Results

385.0ms	5708×	body	128	valid
369.0ms	1306×	body	1024	valid
131.0ms	665×	body	512	valid
47.0ms	314×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 66 to 61 computations (7.6% saved)

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

Details

analyze344.0ms (11.4%)

sample38.0ms (1.3%)

simplify20.0ms (0.7%)

prune1.0ms (0%)

localize8.0ms (0.3%)

rewrite41.0ms (1.4%)

series51.0ms (1.7%)

simplify85.0ms (2.8%)

prune12.0ms (0.4%)

localize12.0ms (0.4%)

rewrite94.0ms (3.1%)

series245.0ms (8.1%)

simplify209.0ms (6.9%)

prune79.0ms (2.6%)

localize9.0ms (0.3%)

rewrite50.0ms (1.7%)

series74.0ms (2.5%)

simplify135.0ms (4.5%)

prune23.0ms (0.8%)

regimes139.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.3s (44.6%)

Profiling

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14