Details

analyze396.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

642×	`div-sub_binary64`
482×	`associate-*l/_binary64`
396×	`associate-/r*_binary64`
392×	`cancel-sign-sub-inv_binary64`
336×	`associate-/r/_binary64`
326×	`associate-*r/_binary64`
296×	`associate-/l/_binary64`
234×	`neg-mul-1_binary64`
184×	`distribute-rgt-in_binary64`
178×	`sub-neg_binary64`
160×	`associate-/l*_binary64`
134×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
122×	`distribute-lft-in_binary64`
114×	`times-frac_binary64`
104×	`distribute-rgt-neg-in_binary64`
96×	`associate-r_binary64`
90×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
82×	`*-commutative_binary64`
80×	`unsub-neg_binary64`
58×	`distribute-rgt-neg-out_binary64`
56×	`distribute-frac-neg_binary64`
54×	`distribute-lft-neg-out_binary64`
44×	`div0_binary64`
42×	`*-lft-identity_binary64`
32×	`sqr-pow_binary64`
26×	`mul0-rgt_binary64`
24×	`+-commutative_binary64`
22×	`*-rgt-identity_binary64` `mul0-lft_binary64`
20×	`unswap-sqr_binary64`
16×	`pow-sqr_binary64`
12×	`sub0-neg_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
10×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
8×	`/-rgt-identity_binary64`
6×	`exp-diff_binary64` `exp-sum_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `associate--r+_binary64` `associate-+r-_binary64`
4×	`unpow3_binary64` `exp-prod_binary64` `cube-prod_binary64` `--rgt-identity_binary64` `associate-+l+_binary64`
2×	`sinh-def_binary64` `pow-plus_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `associate-+r+_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` `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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	61	22
3	136	22
4	300	22
5	665	22
6	1827	22
7	3936	22
8	4736	22
9	4854	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample57.0ms (1.4%)

Algorithm

1×

intervals

Results

15.0ms	62×	body	1024	valid
8.0ms	48×	body	1024	invalid
6.0ms	141×	body	128	valid
5.0ms	35×	body	512	invalid
4.0ms	34×	body	512	valid
2.0ms	16×	body	256	invalid
2.0ms	19×	body	256	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

624×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
354×	`cancel-sign-sub-inv_binary64`
341×	`unsub-neg_binary64`
307×	`associate-l_binary64`
301×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`
236×	`neg-mul-1_binary64`
212×	`associate-*l/_binary64`
210×	`neg-sub0_binary64`
196×	`distribute-rgt-neg-in_binary64`
184×	`distribute-lft-in_binary64`
181×	`distribute-neg-frac_binary64`
177×	`associate-/r*_binary64`
158×	`distribute-lft-neg-in_binary64`
151×	`associate-/r/_binary64`
145×	`associate-/l/_binary64`
144×	`associate-*r/_binary64`
120×	`distribute-lft-neg-out_binary64`
116×	`distribute-rgt-neg-out_binary64`
100×	`sub-neg_binary64`
99×	`*-commutative_binary64`
68×	`distribute-frac-neg_binary64`
40×	`distribute-neg-in_binary64`
34×	`*-lft-identity_binary64`
27×	`*-rgt-identity_binary64`
22×	`div0_binary64` `+-commutative_binary64`
16×	`associate--r+_binary64`
15×	`/-rgt-identity_binary64`
14×	`sqr-pow_binary64` `unswap-sqr_binary64`
13×	`mul0-rgt_binary64`
12×	`exp-prod_binary64` `associate-+l-_binary64`
11×	`mul0-lft_binary64` `associate--l-_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`sub0-neg_binary64`
7×	`pow-sqr_binary64` `associate-+r-_binary64`
6×	`exp-diff_binary64` `exp-sum_binary64` `associate-+l+_binary64`
5×	`cube-unmult_binary64` `cube-prod_binary64`
4×	`exp-lft-sqr_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64`
3×	`exp-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64`
2×	`unpow3_binary64` `pow-plus_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`sinh-def_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `remove-double-neg_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` `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` `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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	157	11
5	344	11
6	932	11
7	2927	11
8	4087	11
9	5030	11

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 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite61.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sinh-def_binary64` `associate-/l/_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 824 to 201 computations (75.6% saved)

series76.0ms (1.8%)

Error

0.0b

Counts

2 → 16

Calls

2 calls:

44.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
15.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 663 to 485 computations (26.8% saved)

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-l_binary64`
331×	`cancel-sign-sub-inv_binary64`
322×	`associate-r_binary64`
308×	`associate-/l*_binary64`
277×	`associate-*r/_binary64`
274×	`div-sub_binary64`
270×	`times-frac_binary64`
257×	`associate-*l/_binary64`
170×	`*-commutative_binary64`
158×	`associate-/r*_binary64`
128×	`sub-neg_binary64`
125×	`associate-/l/_binary64`
120×	`log-div_binary64`
102×	`associate-/r/_binary64`
80×	`unswap-sqr_binary64`
64×	`+-commutative_binary64`
62×	`log-prod_binary64`
53×	`associate-+l+_binary64`
52×	`*-rgt-identity_binary64`
51×	`*-lft-identity_binary64`
48×	`cube-prod_binary64` `sqr-pow_binary64`
46×	`exp-prod_binary64` `neg-sub0_binary64`
45×	`distribute-rgt-neg-in_binary64`
43×	`cube-div_binary64`
40×	`neg-mul-1_binary64`
37×	`swap-sqr_binary64`
36×	`associate-+r+_binary64`
34×	`distribute-lft-neg-in_binary64`
32×	`distribute-neg-frac_binary64`
30×	`distribute-rgt-in_binary64`
25×	`/-rgt-identity_binary64` `distribute-lft-in_binary64`
19×	`associate-+l-_binary64`
15×	`associate-+r-_binary64`
14×	`distribute-rgt-out_binary64`
13×	`log-rec_binary64`
11×	`unsub-neg_binary64`
10×	`+-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
9×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
8×	`cube-unmult_binary64` `associate--l+_binary64`
7×	`unpow3_binary64` `exp-sum_binary64` `pow-sqr_binary64`
6×	`exp-diff_binary64` `associate--l-_binary64`
5×	`sub0-neg_binary64` `distribute-lft-out--_binary64`
4×	`cube-mult_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `pow-plus_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-sqrt_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
1×	`sinh-def_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `distribute-rgt-neg-out_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` `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-lft-sqr_binary64` `exp-cbrt_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

76 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1251
1	379	1150
2	1154	1074
3	3530	1074
4	4964	1074
5	4975	1074

prune28.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 364 to 162 computations (55.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
0.0b	(*.f64 1/120 (pow.f64 y 4))
0.1b	(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite111.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`pow1_binary64` `associate-r_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-l_binary64`
7×	`prod-exp_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `unpow-prod-down_binary64`
3×	`*-commutative_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `sqr-pow_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
6.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
5.0ms	(.f64 1/6 (.f64 y y))
5.0ms	(*.f64 1/120 (pow.f64 y 4))

Compiler

Compiled 1844 to 1105 computations (40.1% saved)

series89.0ms (2.1%)

Error

Counts

4 → 21

Calls

4 calls:

41.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
20.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
10.0ms	(.f64 1/6 (.f64 y y))
9.0ms	(*.f64 1/120 (pow.f64 y 4))

Compiler

Compiled 737 to 569 computations (22.8% saved)

simplify131.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

433×	`*-commutative_binary64`
278×	`cancel-sign-sub-inv_binary64` `distribute-lft-out_binary64`
249×	`distribute-rgt-out_binary64`
247×	`distribute-rgt-in_binary64`
236×	`distribute-lft-in_binary64`
218×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-neg-in_binary64`
196×	`associate-+l+_binary64`
191×	`sub-neg_binary64`
185×	`associate-l_binary64`
184×	`associate-r_binary64`
155×	`exp-prod_binary64`
138×	`unswap-sqr_binary64`
110×	`sqr-pow_binary64`
91×	`neg-mul-1_binary64`
88×	`log-prod_binary64`
87×	`neg-sub0_binary64`
83×	`distribute-rgt-out--_binary64`
75×	`swap-sqr_binary64`
64×	`cube-prod_binary64`
53×	`unsub-neg_binary64`
37×	`rem-sqrt-square_binary64`
32×	`*-lft-identity_binary64`
31×	`*-rgt-identity_binary64` `distribute-lft-out--_binary64`
28×	`unpow3_binary64`
22×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
21×	`associate-/l*_binary64`
20×	`+-commutative_binary64`
18×	`log-pow_binary64` `fabs-mul_binary64` `associate-+l-_binary64`
15×	`pow-plus_binary64` `pow-sqr_binary64` `associate-+r+_binary64`
13×	`times-frac_binary64` `distribute-neg-in_binary64`
12×	`associate-+r-_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
6×	`distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
5×	`unpow2_binary64` `+-rgt-identity_binary64`
4×	`exp-sum_binary64` `fabs-sqr_binary64` `associate-/r/_binary64` `associate--r+_binary64`
3×	`unpow1_binary64` `sub0-neg_binary64` `associate--l+_binary64`
2×	`difference-of-squares_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_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-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

98 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1608
1	322	1486
2	1066	1447
3	2453	1435
4	4731	1435
5	4869	1435
6	5036	1435

prune41.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Compiler

Compiled 801 to 474 computations (40.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
0.3b	(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3)

rewrite107.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
9×	`pow1_binary64`
8×	`cbrt-prod_binary64`
4×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`pow-unpow_binary64` `div-exp_binary64` `pow-exp_binary64` `associate-r/_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r*_binary64`
2×	`unpow-prod-down_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sinh-def_binary64` `associate-/l/_binary64`

Counts

4 → 103

Calls

4 calls:

7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3)
3.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))

Compiler

Compiled 1650 to 583 computations (64.7% saved)

series225.0ms (5.4%)

Error

Counts

4 → 36

Calls

4 calls:

89.0ms	(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3)
45.0ms	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
44.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
16.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 2134 to 1564 computations (26.7% saved)

simplify124.0ms (3%)

Algorithm

1×	egg-herbie

Rules

236×	`associate-r_binary64`
217×	`unswap-sqr_binary64`
185×	`associate-l_binary64`
181×	`times-frac_binary64`
156×	`distribute-rgt-in_binary64`
149×	`associate-/l*_binary64`
145×	`distribute-lft-in_binary64`
138×	`*-commutative_binary64`
136×	`cancel-sign-sub-inv_binary64`
103×	`distribute-rgt-neg-in_binary64`
102×	`log-prod_binary64`
97×	`associate-/r*_binary64`
94×	`log-div_binary64` `swap-sqr_binary64`
92×	`associate-*r/_binary64`
91×	`exp-prod_binary64`
82×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
73×	`sub-neg_binary64`
68×	`associate-*l/_binary64`
64×	`cube-prod_binary64`
59×	`distribute-neg-frac_binary64`
55×	`+-commutative_binary64`
42×	`neg-sub0_binary64`
40×	`div-sub_binary64`
37×	`associate-+r+_binary64`
34×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
32×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
31×	`associate-+l+_binary64`
26×	`*-lft-identity_binary64`
24×	`cube-div_binary64` `associate-/l/_binary64`
21×	`log-pow_binary64` `associate-/r/_binary64`
20×	`distribute-lft-neg-out_binary64`
14×	`unpow3_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
13×	`pow-sqr_binary64` `associate--l+_binary64` `associate--r+_binary64`
12×	`prod-exp_binary64` `cube-mult_binary64`
11×	`distribute-lft-out_binary64`
10×	`distribute-lft-out--_binary64`
9×	`unsub-neg_binary64` `/-rgt-identity_binary64`
7×	`cube-unmult_binary64` `distribute-rgt-neg-out_binary64`
6×	`rem-sqrt-square_binary64`
5×	`unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-cbrt-cube_binary64` `distribute-rgt1-in_binary64`
4×	`unpow2_binary64` `difference-of-squares_binary64`
3×	`distribute-frac-neg_binary64`
2×	`fabs-mul_binary64`
1×	`sinh-def_binary64` `exp-neg_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `rgt-mult-inverse_binary64` `distribute-neg-out_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` `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-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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

139 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	2583
1	662	2472
2	2731	2347
3	4968	2347
4	4990	2347

prune47.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

Counts

79 → 2

Compiler

Compiled 946 to 427 computations (54.9% saved)

regimes702.0ms (16.8%)

Accuracy

Total -0.1b remaining (-611%)

Threshold costs -0.1b (-611%)

Compiler

Compiled 6010 to 4452 computations (25.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
2	12	11

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample1.8s (43.1%)

Algorithm

1×

intervals

Results

392.0ms	1983×	body	1024	valid
350.0ms	1992×	body	1024	invalid
204.0ms	4570×	body	128	valid
137.0ms	1042×	body	512	invalid
131.0ms	979×	body	512	valid
49.0ms	468×	body	256	valid
39.0ms	448×	body	256	invalid
34.0ms	684×	body	128	invalid

Compiler

Compiled 42 to 37 computations (11.9% saved)

Details

analyze396.0ms (9.5%)

sample57.0ms (1.4%)

simplify61.0ms (1.4%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite61.0ms (1.5%)

series76.0ms (1.8%)

simplify97.0ms (2.3%)

prune28.0ms (0.7%)

localize11.0ms (0.3%)

rewrite111.0ms (2.7%)

series89.0ms (2.1%)

simplify131.0ms (3.1%)

prune41.0ms (1%)

localize8.0ms (0.2%)

rewrite107.0ms (2.5%)

series225.0ms (5.4%)

simplify124.0ms (3%)

prune47.0ms (1.1%)

regimes702.0ms (16.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.8s (43.1%)

Profiling