Details

analyze561.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

822×	`times-frac_binary64`
477×	`associate-l_binary64`
460×	`associate-r_binary64`
450×	`distribute-rgt-in_binary64`
344×	`cancel-sign-sub-inv_binary64`
308×	`distribute-lft-in_binary64`
251×	`unsub-neg_binary64`
217×	`associate-/l*_binary64`
187×	`distribute-lft-neg-out_binary64`
170×	`*-commutative_binary64`
163×	`distribute-rgt-neg-out_binary64`
161×	`div-sub_binary64`
160×	`distribute-rgt-neg-in_binary64`
140×	`neg-sub0_binary64`
123×	`distribute-lft-neg-in_binary64`
107×	`associate-*r/_binary64`
102×	`neg-mul-1_binary64` `associate-*l/_binary64`
101×	`associate-+l-_binary64`
82×	`associate-+l+_binary64`
76×	`sub-neg_binary64`
74×	`associate-+r+_binary64`
73×	`+-commutative_binary64`
46×	`*-lft-identity_binary64`
40×	`sqr-pow_binary64`
39×	`associate-+r-_binary64`
38×	`associate-/r*_binary64`
34×	`associate--r+_binary64`
32×	`*-rgt-identity_binary64`
26×	`distribute-frac-neg_binary64`
24×	`exp-prod_binary64`
20×	`pow-sqr_binary64`
19×	`associate-/r/_binary64`
18×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`exp-diff_binary64` `associate-/l/_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`exp-sum_binary64` `distribute-neg-in_binary64`
11×	`+-rgt-identity_binary64`
10×	`mul-1-neg_binary64`
8×	`cube-unmult_binary64` `--rgt-identity_binary64` `unswap-sqr_binary64`
7×	`associate--l-_binary64`
4×	`unpow3_binary64` `exp-neg_binary64` `cube-prod_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	168
1	106	168
2	212	168
3	446	168
4	1066	168
5	2389	168
6	3907	168
7	5058	168
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample101.0ms (1.6%)

Algorithm

1×

intervals

Results

22.0ms	54×	body	1024	valid
16.0ms	59×	body	1024	invalid
9.0ms	42×	body	512	valid
8.0ms	128×	body	128	valid
8.0ms	124×	body	128	invalid
6.0ms	17×	body	256	invalid
4.0ms	23×	body	512	invalid
4.0ms	31×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

720×	`div-sub_binary64`
424×	`times-frac_binary64`
411×	`associate-/l*_binary64`
370×	`cancel-sign-sub-inv_binary64`
355×	`distribute-neg-frac_binary64`
322×	`associate-l_binary64`
298×	`neg-sub0_binary64`
288×	`*-commutative_binary64`
278×	`neg-mul-1_binary64`
276×	`associate-/r*_binary64`
264×	`distribute-rgt-neg-in_binary64`
250×	`associate-r_binary64`
232×	`sub-neg_binary64`
228×	`distribute-rgt-in_binary64`
201×	`unsub-neg_binary64`
166×	`distribute-lft-neg-in_binary64`
152×	`distribute-lft-in_binary64`
138×	`distribute-rgt-neg-out_binary64`
128×	`distribute-lft-neg-out_binary64`
124×	`unswap-sqr_binary64`
75×	`associate-*r/_binary64`
73×	`associate-*l/_binary64`
59×	`associate-/l/_binary64`
56×	`distribute-neg-in_binary64`
50×	`associate--r+_binary64`
46×	`+-commutative_binary64`
44×	`mul0-rgt_binary64`
43×	`mul0-lft_binary64`
40×	`associate-+l-_binary64`
34×	`*-lft-identity_binary64` `sqr-pow_binary64`
29×	`associate-/r/_binary64`
28×	`*-rgt-identity_binary64`
24×	`distribute-frac-neg_binary64`
22×	`exp-prod_binary64`
21×	`remove-double-neg_binary64`
18×	`mul-1-neg_binary64`
17×	`+-lft-identity_binary64`
16×	`pow-plus_binary64` `pow-sqr_binary64`
15×	`sub0-neg_binary64` `associate-+l+_binary64`
14×	`cube-unmult_binary64` `cube-prod_binary64` `associate-+r+_binary64`
13×	`associate--l+_binary64`
10×	`/-rgt-identity_binary64` `div0_binary64`
8×	`swap-sqr_binary64`
7×	`unpow3_binary64` `exp-sum_binary64` `--rgt-identity_binary64`
6×	`exp-lft-sqr_binary64`
5×	`exp-diff_binary64`
4×	`exp-sqrt_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
2×	`rec-exp_binary64` `sqr-neg_binary64` `distribute-rgt-out--_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `distribute-rgt-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` `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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	28	24
2	50	24
3	96	24
4	205	24
5	441	24
6	997	24
7	1569	24
8	2735	24
9	3755	24
10	4991	24
11	4999	24
12	4815	24

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

17.5b

Counts

1 → 1

Compiler

Compiled 15 to 14 computations (6.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64`
2×	`sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 68

Calls

3 calls:

9.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1506 to 558 computations (62.9% saved)

series93.0ms (1.5%)

Error

0.0b

Counts

3 → 19

Calls

3 calls:

50.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
24.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 831 to 673 computations (19% saved)

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

602×	`neg-mul-1_binary64`
357×	`*-commutative_binary64`
276×	`times-frac_binary64`
269×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
230×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
217×	`cancel-sign-sub-inv_binary64`
204×	`exp-prod_binary64`
197×	`associate-l_binary64`
158×	`associate-r_binary64`
93×	`sub-neg_binary64`
91×	`unswap-sqr_binary64`
84×	`div-sub_binary64`
80×	`sqr-pow_binary64`
77×	`neg-sub0_binary64`
62×	`exp-sum_binary64`
54×	`*-lft-identity_binary64`
49×	`*-rgt-identity_binary64`
42×	`exp-neg_binary64`
37×	`+-commutative_binary64`
35×	`exp-diff_binary64` `distribute-rgt-neg-in_binary64`
33×	`swap-sqr_binary64`
32×	`associate-*r/_binary64`
31×	`cube-prod_binary64`
30×	`distribute-lft-neg-in_binary64`
28×	`associate-*l/_binary64`
26×	`associate-/l*_binary64`
25×	`log-prod_binary64`
23×	`associate-+r-_binary64`
22×	`associate-+r+_binary64`
21×	`associate-+l+_binary64`
19×	`distribute-neg-frac_binary64`
18×	`mul0-lft_binary64`
17×	`mul0-rgt_binary64` `pow-sqr_binary64`
16×	`difference-of-squares_binary64`
15×	`associate-+l-_binary64`
13×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64`
11×	`cube-unmult_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
10×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
9×	`unpow3_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
8×	`prod-exp_binary64`
7×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
6×	`sqr-neg_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`
5×	`unpow1/2_binary64`
4×	`rec-exp_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
3×	`div-exp_binary64` `associate-/r*_binary64`
2×	`cube-div_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`sinh-def_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `lft-mult-inverse_binary64` `associate-/l/_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` `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` `pow-plus_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`

Counts

87 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1721
1	326	1473
2	1042	1449
3	2404	1449
4	4659	1449
5	5408	1449

prune42.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

0.0b

Counts

63 → 2

Compiler

Compiled 805 to 379 computations (52.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
0.0b	(.f64 (.f64 2 J) (sinh.f64 l))
0.1b	(.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`sinh-def_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`
1×	`associate-*l/_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 52

Calls

3 calls:

8.0ms	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
8.0ms	(.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
5.0ms	(.f64 (.f64 2 J) (sinh.f64 l))

Compiler

Compiled 1069 to 689 computations (35.5% saved)

series206.0ms (3.2%)

Error

0.0b

Counts

3 → 35

Calls

3 calls:

97.0ms	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
62.0ms	(.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
28.0ms	(.f64 (.f64 2 J) (sinh.f64 l))

Compiler

Compiled 1438 to 1161 computations (19.3% saved)

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

532×	`*-commutative_binary64`
412×	`cancel-sign-sub-inv_binary64`
314×	`distribute-rgt-neg-in_binary64`
266×	`distribute-lft-neg-in_binary64`
250×	`associate-l_binary64`
183×	`associate-r_binary64`
181×	`associate-*l/_binary64`
168×	`associate-*r/_binary64`
141×	`sub-neg_binary64`
138×	`exp-prod_binary64`
130×	`times-frac_binary64`
93×	`log-prod_binary64`
92×	`distribute-lft-out_binary64`
90×	`distribute-rgt-in_binary64`
89×	`cube-prod_binary64`
88×	`sqr-pow_binary64`
83×	`div-sub_binary64`
75×	`neg-sub0_binary64` `distribute-lft-in_binary64`
74×	`neg-mul-1_binary64`
66×	`distribute-neg-frac_binary64`
61×	`unswap-sqr_binary64`
59×	`distribute-rgt-out_binary64`
54×	`swap-sqr_binary64` `+-commutative_binary64`
53×	`distribute-rgt-out--_binary64`
52×	`distribute-lft-neg-out_binary64`
46×	`associate-+r+_binary64`
45×	`associate-+l+_binary64`
43×	`exp-sum_binary64`
40×	`distribute-lft-out--_binary64`
36×	`distribute-neg-in_binary64`
35×	`associate-/l*_binary64`
32×	`*-lft-identity_binary64`
30×	`log-div_binary64` `cube-div_binary64`
29×	`distribute-rgt-neg-out_binary64`
27×	`unpow3_binary64` `*-rgt-identity_binary64`
25×	`cube-mult_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
23×	`exp-diff_binary64`
20×	`unsub-neg_binary64`
17×	`exp-sqrt_binary64`
16×	`+-rgt-identity_binary64`
15×	`pow-sqr_binary64`
14×	`associate--l+_binary64`
13×	`exp-lft-sqr_binary64` `rem-sqrt-square_binary64`
11×	`prod-exp_binary64`
10×	`sub0-neg_binary64`
8×	`exp-neg_binary64`
7×	`associate--r+_binary64`
6×	`unpow1/2_binary64`
4×	`cube-unmult_binary64`
3×	`cancel-sign-sub_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-/l/_binary64`
1×	`sinh-def_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `distribute-frac-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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `--rgt-identity_binary64` `+-lft-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` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

87 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1823
1	372	1617
2	1263	1594
3	2919	1461
4	4502	1461
5	5008	1461

prune40.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 701 to 456 computations (35% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
0.0b	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
0.1b	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)

rewrite283.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
8.0ms	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
5.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
4.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1246 to 865 computations (30.6% saved)

series186.0ms (2.9%)

Error

Counts

4 → 49

Calls

4 calls:

73.0ms	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
41.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
38.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
22.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1142 to 1080 computations (5.4% saved)

simplify134.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

495×	`*-commutative_binary64`
334×	`cancel-sign-sub-inv_binary64`
328×	`distribute-rgt-neg-in_binary64`
296×	`distribute-lft-neg-in_binary64`
261×	`unswap-sqr_binary64`
213×	`associate-r_binary64`
189×	`sqr-pow_binary64`
187×	`associate-+l+_binary64`
178×	`associate-l_binary64`
176×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`
152×	`sub-neg_binary64`
147×	`associate-+r+_binary64`
121×	`neg-mul-1_binary64`
114×	`neg-sub0_binary64`
85×	`distribute-rgt-out_binary64`
83×	`exp-prod_binary64`
75×	`swap-sqr_binary64`
70×	`log-prod_binary64` `cube-prod_binary64`
68×	`+-commutative_binary64`
67×	`pow-sqr_binary64`
52×	`distribute-rgt-out--_binary64`
50×	`distribute-neg-in_binary64`
42×	`unsub-neg_binary64`
38×	`associate-/l*_binary64`
33×	`rem-sqrt-square_binary64`
30×	`distribute-lft-out_binary64`
23×	`associate-+l-_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`unpow3_binary64`
19×	`cube-mult_binary64` `associate-/r*_binary64`
17×	`sub0-neg_binary64`
15×	`associate-+r-_binary64`
13×	`associate-/l/_binary64` `associate-*r/_binary64`
12×	`times-frac_binary64`
10×	`prod-exp_binary64` `exp-sum_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
9×	`unpow1/2_binary64` `*-rgt-identity_binary64`
8×	`*-lft-identity_binary64`
7×	`exp-lft-sqr_binary64`
6×	`associate--r+_binary64`
5×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`distribute-neg-out_binary64`
3×	`cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
2×	`difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `count-2_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` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

117 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1902
1	296	1740
2	1036	1726
3	2038	1726
4	3995	1726
5	4954	1726
6	4957	1726

prune50.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Error

Counts

100 → 3

Compiler

Compiled 853 to 565 computations (33.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l)))) U)
0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))
0.2b	(.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (sqrt.f64 l)))
0.2b	(.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l))

rewrite98.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
6×	`add-log-exp_binary64` `sqrt-prod_binary64`
3×	`*-commutative_binary64`
1×	`unswap-sqr_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(+.f64 (.f64 2 (.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l)))) U)
10.0ms	(.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (sqrt.f64 l)))
7.0ms	(.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l))
4.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

Compiler

Compiled 1663 to 965 computations (42% saved)

series178.0ms (2.8%)

Error

Counts

4 → 48

Calls

4 calls:

70.0ms	(+.f64 (.f64 2 (.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l)))) U)
40.0ms	(.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 l))
37.0ms	(.f64 (sqrt.f64 l) (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (sqrt.f64 l)))
22.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

Compiler

Compiled 1357 to 1213 computations (10.6% saved)

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

394×	`unswap-sqr_binary64`
291×	`distribute-rgt-neg-in_binary64`
290×	`associate-l_binary64`
285×	`associate-r_binary64`
275×	`sqr-pow_binary64`
263×	`distribute-lft-neg-in_binary64`
245×	`cancel-sign-sub-inv_binary64`
217×	`associate-+l+_binary64`
181×	`associate-+r+_binary64`
166×	`sub-neg_binary64`
147×	`neg-mul-1_binary64`
144×	`distribute-lft-in_binary64`
142×	`distribute-rgt-in_binary64`
140×	`neg-sub0_binary64`
120×	`*-commutative_binary64`
119×	`exp-prod_binary64`
112×	`cube-prod_binary64`
90×	`pow-sqr_binary64`
88×	`associate-/l*_binary64`
87×	`swap-sqr_binary64`
69×	`+-commutative_binary64`
63×	`distribute-rgt-out_binary64`
53×	`log-prod_binary64`
40×	`unsub-neg_binary64` `associate-/r*_binary64`
39×	`distribute-rgt-out--_binary64`
35×	`distribute-lft-out_binary64`
27×	`unpow3_binary64` `times-frac_binary64`
25×	`cube-mult_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
23×	`associate-+l-_binary64`
21×	`associate-/r/_binary64`
20×	`-rgt-identity_binary64` `-lft-identity_binary64`
17×	`sub0-neg_binary64`
16×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
12×	`exp-sum_binary64`
11×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64`
8×	`unpow1/2_binary64` `distribute-lft-out--_binary64`
7×	`prod-exp_binary64`
6×	`cube-unmult_binary64` `associate--r+_binary64`
5×	`exp-lft-sqr_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
3×	`unpow1_binary64` `associate--l+_binary64`
2×	`unpow2_binary64` `difference-of-squares_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-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` `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` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `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` `associate--r-_binary64` `associate--l-_binary64`

Counts

122 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2271
1	376	1823
2	1267	1809
3	2148	1809
4	4165	1809
5	5578	1809

prune46.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1023 to 614 computations (40% saved)

regimes515.0ms (8%)

Accuracy

Total 0.1b remaining (69%)

Threshold costs 0.1b (69%)

Compiler

Compiled 4955 to 4942 computations (0.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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	13	20
1	17	20
2	17	20

end1.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

sample3.2s (50.6%)

Algorithm

1×

intervals

Results

700.0ms	1639×	body	1024	valid
534.0ms	1980×	body	1024	invalid
319.0ms	4411×	body	128	valid
263.0ms	1178×	body	512	valid
244.0ms	3453×	body	128	invalid
181.0ms	936×	body	512	invalid
115.0ms	727×	body	256	valid
76.0ms	517×	body	256	invalid
29.0ms	45×	body	2048	valid

Compiler

Compiled 73 to 86 computations (-17.8% saved)

Details

analyze561.0ms (8.8%)

sample101.0ms (1.6%)

simplify103.0ms (1.6%)

prune1.0ms (0%)

localize12.0ms (0.2%)

rewrite76.0ms (1.2%)

series93.0ms (1.5%)

simplify108.0ms (1.7%)

prune42.0ms (0.7%)

localize10.0ms (0.2%)

rewrite76.0ms (1.2%)

series206.0ms (3.2%)

simplify107.0ms (1.7%)

prune40.0ms (0.6%)

localize9.0ms (0.1%)

rewrite283.0ms (4.4%)

series186.0ms (2.9%)

simplify134.0ms (2.1%)

prune50.0ms (0.8%)

localize12.0ms (0.2%)

rewrite98.0ms (1.5%)

series178.0ms (2.8%)

simplify117.0ms (1.8%)

prune46.0ms (0.7%)

regimes515.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample3.2s (50.6%)

Profiling