Details

analyze1.9s (15.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

568×	`unswap-sqr_binary64`
433×	`sub-neg_binary64`
412×	`div-sub_binary64`
386×	`distribute-neg-frac_binary64`
354×	`distribute-rgt-neg-in_binary64`
328×	`associate-/l*_binary64`
264×	`distribute-lft-neg-in_binary64`
254×	`*-commutative_binary64`
231×	`unsub-neg_binary64`
208×	`associate-/r*_binary64`
194×	`neg-mul-1_binary64`
192×	`cancel-sign-sub-inv_binary64`
191×	`associate-l_binary64`
182×	`neg-sub0_binary64`
170×	`associate-r_binary64`
163×	`associate-/r/_binary64`
144×	`distribute-rgt-in_binary64`
128×	`distribute-lft-in_binary64`
116×	`associate-*r/_binary64`
96×	`associate-*l/_binary64`
68×	`distribute-lft-neg-out_binary64`
65×	`mul0-rgt_binary64` `mul0-lft_binary64`
64×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
55×	`remove-double-neg_binary64`
48×	`associate-/l/_binary64`
47×	`distribute-neg-in_binary64`
43×	`*-rgt-identity_binary64`
38×	`div0_binary64`
36×	`pow-plus_binary64`
33×	`*-lft-identity_binary64`
32×	`associate--r+_binary64`
24×	`associate-+l+_binary64`
22×	`sub0-neg_binary64` `associate-+l-_binary64`
20×	`unpow3_binary64` `cube-unmult_binary64` `cube-prod_binary64`
16×	`associate-+r+_binary64`
13×	`/-rgt-identity_binary64`
12×	`pow-sqr_binary64`
11×	`sqr-neg_binary64`
10×	`--rgt-identity_binary64`
8×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
6×	`tan-neg_binary64` `sin-neg_binary64` `swap-sqr_binary64`
4×	`unpow1_binary64` `cube-mult_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64` `associate-+r-_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `cos-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-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-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` `times-frac_binary64` `mul-1-neg_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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	148
1	135	128
2	284	128
3	618	128
4	1384	128
5	3011	128
6	4044	128
7	4747	128
8	4990	128
9	4999	128
10	4785	128
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample102.0ms (0.9%)

Algorithm

1×

intervals

Results

46.0ms	69×	body	1024	valid
17.0ms	127×	body	128	valid
15.0ms	39×	body	512	valid
5.0ms	21×	body	256	valid
2.0ms	20×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`div-sub_binary64`
640×	`distribute-rgt-neg-in_binary64`
603×	`sub-neg_binary64`
418×	`distribute-lft-neg-in_binary64`
381×	`distribute-neg-frac_binary64`
288×	`associate-/l*_binary64`
251×	`unsub-neg_binary64`
244×	`unswap-sqr_binary64`
224×	`associate-/r*_binary64`
201×	`neg-mul-1_binary64`
182×	`neg-sub0_binary64` `associate-l_binary64`
181×	`associate-+l-_binary64`
174×	`cancel-sign-sub-inv_binary64`
157×	`distribute-rgt-in_binary64`
154×	`sqr-pow_binary64`
150×	`*-commutative_binary64`
140×	`associate-r_binary64`
136×	`distribute-lft-in_binary64`
122×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
120×	`div0_binary64`
119×	`+-commutative_binary64`
114×	`associate-*l/_binary64`
109×	`distribute-rgt-neg-out_binary64`
95×	`associate-*r/_binary64`
92×	`distribute-neg-in_binary64`
88×	`cube-prod_binary64`
68×	`associate-/l/_binary64`
61×	`remove-double-neg_binary64`
54×	`pow-sqr_binary64`
49×	`mul0-rgt_binary64` `mul0-lft_binary64`
42×	`pow-plus_binary64` `swap-sqr_binary64`
38×	`unpow3_binary64`
34×	`cube-mult_binary64`
23×	`sub0-neg_binary64`
21×	`cancel-sign-sub_binary64`
17×	`distribute-frac-neg_binary64`
14×	`associate--r+_binary64` `associate-+l+_binary64`
12×	`*-lft-identity_binary64`
11×	`associate--l-_binary64`
10×	`unpow2_binary64` `associate--l+_binary64`
9×	`unpow1_binary64` `sqr-neg_binary64`
8×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
7×	`unpow1/2_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
5×	`*-rgt-identity_binary64` `associate-+r+_binary64`
4×	`associate-+r-_binary64`
3×	`+-lft-identity_binary64`
2×	`cube-neg_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `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-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` `times-frac_binary64` `mul-1-neg_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` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	37
1	48	32
2	91	32
3	167	32
4	340	32
5	966	32
6	2349	32
7	3829	32
8	4128	32
9	4267	32
10	4587	32
11	4955	32
12	4666	32

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

12.3b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 F (sin.f64 B))
0.1b	(/.f64 x (tan.f64 B))
7.2b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
15.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite238.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

44×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
22×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `associate-/r_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-pow_binary64` `associate-l/_binary64` `-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 115

Calls

4 calls:

14.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
10.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
3.0ms	(/.f64 x (tan.f64 B))
3.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3318 to 1540 computations (53.6% saved)

series283.0ms (2.4%)

Error

0.1b

Counts

4 → 43

Calls

4 calls:

95.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
72.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
46.0ms	(/.f64 x (tan.f64 B))
25.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3366 to 2529 computations (24.9% saved)

simplify172.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l*_binary64`
400×	`times-frac_binary64`
323×	`associate-/r*_binary64`
194×	`cancel-sign-sub-inv_binary64`
184×	`associate-/l/_binary64`
157×	`associate-/r/_binary64`
137×	`associate-r_binary64`
134×	`*-commutative_binary64`
132×	`associate-l_binary64`
118×	`log-div_binary64`
111×	`associate-*l/_binary64`
105×	`sub-neg_binary64`
104×	`distribute-rgt-neg-in_binary64`
94×	`distribute-lft-neg-in_binary64`
82×	`associate-*r/_binary64`
78×	`sqr-pow_binary64`
74×	`unswap-sqr_binary64`
63×	`log-prod_binary64`
60×	`+-commutative_binary64`
54×	`exp-prod_binary64` `neg-sub0_binary64`
52×	`neg-mul-1_binary64` `distribute-neg-frac_binary64`
47×	`cube-div_binary64`
41×	`distribute-rgt-in_binary64`
38×	`exp-sum_binary64`
32×	`associate--l+_binary64`
31×	`distribute-lft-in_binary64`
28×	`*-rgt-identity_binary64`
24×	`unsub-neg_binary64` `associate--r+_binary64`
23×	`associate-+l+_binary64`
22×	`log-pow_binary64`
19×	`distribute-neg-in_binary64`
18×	`associate-+r+_binary64`
16×	`log-rec_binary64`
15×	`unpow3_binary64` `cube-unmult_binary64` `*-lft-identity_binary64`
14×	`exp-diff_binary64` `cube-prod_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`swap-sqr_binary64`
10×	`rem-exp-log_binary64` `/-rgt-identity_binary64`
9×	`cube-mult_binary64` `distribute-rgt-out_binary64`
8×	`pow-sqr_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64`
4×	`unpow1/2_binary64` `pow-base-1_binary64` `prod-exp_binary64`
3×	`exp-to-pow_binary64` `unpow1_binary64`
2×	`unpow2_binary64` `div-exp_binary64` `div-sub_binary64` `mul-1-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `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-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

158 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	325	3682
1	754	3465
2	2127	3450
3	4674	3420
4	4950	3420
5	4915	3420

prune134.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Error

0.0b

Counts

101 → 11

Compiler

Compiled 2800 to 1486 computations (46.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.2b	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
0.3b	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
15.7b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite285.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`add-sqr-sqrt_binary64`
54×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
25×	`unpow-prod-down_binary64` `associate-r_binary64`
22×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
10×	`associate-/l*_binary64`
9×	`sqr-pow_binary64`
7×	`pow1_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `cbrt-unprod_binary64`
1×	`pow-pow_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 138

Calls

4 calls:

17.0ms	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
9.0ms	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4498 to 2383 computations (47% saved)

series354.0ms (3%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

94.0ms	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
92.0ms	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
57.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
42.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4424 to 3320 computations (25% saved)

simplify188.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

702×	`times-frac_binary64`
443×	`associate-/l/_binary64`
251×	`cancel-sign-sub-inv_binary64`
162×	`associate-/l*_binary64`
161×	`associate-r_binary64` `*-commutative_binary64`
160×	`associate-l_binary64`
144×	`sub-neg_binary64`
132×	`associate-*r/_binary64`
125×	`associate-*l/_binary64`
123×	`distribute-rgt-neg-in_binary64`
110×	`distribute-lft-neg-in_binary64`
109×	`associate-/r*_binary64`
84×	`unswap-sqr_binary64`
80×	`distribute-neg-frac_binary64`
79×	`+-commutative_binary64`
78×	`sqr-pow_binary64`
65×	`neg-sub0_binary64`
61×	`neg-mul-1_binary64`
49×	`associate--l+_binary64`
46×	`*-rgt-identity_binary64` `distribute-rgt-in_binary64`
35×	`associate-/r/_binary64`
34×	`associate--r+_binary64`
33×	`associate-+l+_binary64`
32×	`*-lft-identity_binary64` `distribute-lft-in_binary64`
31×	`unsub-neg_binary64`
26×	`log-div_binary64` `log-prod_binary64`
23×	`associate-+r+_binary64`
20×	`distribute-neg-in_binary64`
18×	`exp-prod_binary64`
17×	`/-rgt-identity_binary64`
14×	`exp-sum_binary64` `distribute-rgt-out_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`log-pow_binary64`
11×	`cube-prod_binary64`
10×	`cube-unmult_binary64` `cube-div_binary64` `swap-sqr_binary64`
8×	`log-rec_binary64` `pow-sqr_binary64`
7×	`exp-diff_binary64`
6×	`distribute-lft-out_binary64`
5×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
4×	`rem-exp-log_binary64` `div-sub_binary64`
3×	`unpow3_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `cube-mult_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`unpow-1_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

190 → 148

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	5705
1	916	5335
2	2738	5320
3	4990	5320
4	4928	5320

prune218.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	149	10	159

Error

0.0b

Counts

159 → 10

Compiler

Compiled 4422 to 2491 computations (43.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (sin.f64 B)))
0.3b	(/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (sin.f64 B))
0.5b	(/.f64 1 (+.f64 2 (*.f64 F F)))
15.0b	(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))

rewrite431.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

197×	`times-frac_binary64`
133×	`add-sqr-sqrt_binary64`
123×	`sqrt-prod_binary64`
116×	`*-un-lft-identity_binary64`
114×	`add-cube-cbrt_binary64`
58×	`associate-r_binary64`
21×	`associate-/l*_binary64`
18×	`associate-/r/_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`div-inv_binary64`
9×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`associate-/r*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64`
3×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64` `cbrt-undiv_binary64` `associate-l_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64` `sqrt-div_binary64` `frac-2neg_binary64` `clear-num_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`pow1/2_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 231

Calls

4 calls:

22.0ms	(.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (sin.f64 B)))
9.0ms	(/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (sin.f64 B))
5.0ms	(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
5.0ms	(/.f64 1 (+.f64 2 (*.f64 F F)))

Compiler

Compiled 6713 to 3531 computations (47.4% saved)

series208.0ms (1.8%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

56.0ms	(.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (sin.f64 B)))
52.0ms	(/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (sin.f64 B))
23.0ms	(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
19.0ms	(/.f64 1 (+.f64 2 (*.f64 F F)))

Compiler

Compiled 2684 to 2043 computations (23.9% saved)

simplify187.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-/r*_binary64`
315×	`associate-/l/_binary64`
266×	`cancel-sign-sub-inv_binary64`
205×	`associate-/r/_binary64`
193×	`associate-r_binary64`
178×	`associate-l_binary64`
177×	`associate-/l*_binary64`
168×	`sub-neg_binary64`
150×	`times-frac_binary64`
148×	`*-commutative_binary64`
130×	`associate-*r/_binary64`
128×	`distribute-rgt-neg-in_binary64`
114×	`distribute-lft-neg-in_binary64`
101×	`distribute-neg-frac_binary64`
89×	`+-commutative_binary64`
81×	`associate-*l/_binary64`
80×	`distribute-rgt-in_binary64`
69×	`distribute-neg-in_binary64`
56×	`neg-mul-1_binary64` `neg-sub0_binary64`
52×	`distribute-lft-in_binary64`
50×	`*-rgt-identity_binary64` `associate--l+_binary64`
44×	`*-lft-identity_binary64` `associate--r+_binary64`
38×	`sqr-pow_binary64`
37×	`associate-+l+_binary64`
34×	`unswap-sqr_binary64`
30×	`unsub-neg_binary64` `associate-+r+_binary64`
19×	`/-rgt-identity_binary64`
18×	`log-prod_binary64` `exp-prod_binary64`
17×	`cube-prod_binary64`
16×	`log-div_binary64` `distribute-rgt-out_binary64`
14×	`distribute-rgt-out--_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`cube-div_binary64` `swap-sqr_binary64`
7×	`cube-unmult_binary64`
6×	`div-sub_binary64`
5×	`rem-sqrt-square_binary64` `associate-+r-_binary64`
3×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64`
2×	`log-rec_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_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` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

276 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7265
1	897	6813
2	2903	6746
3	5144	6746

prune224.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	177	10	187

Error

0.0b

Counts

187 → 10

Compiler

Compiled 4028 to 2182 computations (45.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sin.f64 B))
0.3b	(.f64 (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)) (/.f64 1 (sin.f64 B)))
0.3b	(.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))
15.7b	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)

rewrite234.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-exp-log_binary64`
31×	`prod-exp_binary64`
29×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`add-cbrt-cube_binary64` `associate-r_binary64`
18×	`times-frac_binary64`
10×	`div-exp_binary64`
8×	`pow1_binary64`
7×	`unpow-prod-down_binary64` `cbrt-unprod_binary64`
6×	`pow-to-exp_binary64` `pow-exp_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`*-commutative_binary64` `div-inv_binary64`
1×	`pow-pow_binary64` `pow-prod-down_binary64` `un-div-inv_binary64` `associate-*r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 118

Calls

4 calls:

14.0ms	(.f64 (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)) (/.f64 1 (sin.f64 B)))
10.0ms	(.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))
6.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 3490 to 1970 computations (43.6% saved)

series275.0ms (2.4%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

95.0ms	(.f64 (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)) (/.f64 1 (sin.f64 B)))
59.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
53.0ms	(.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))
11.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 3775 to 2932 computations (22.3% saved)

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-/l*_binary64`
506×	`times-frac_binary64`
235×	`associate-l_binary64`
220×	`cancel-sign-sub-inv_binary64`
201×	`associate-r_binary64`
155×	`*-commutative_binary64`
151×	`associate-/r/_binary64`
128×	`sub-neg_binary64`
102×	`distribute-rgt-neg-in_binary64`
98×	`associate-/l/_binary64`
97×	`unswap-sqr_binary64`
93×	`distribute-lft-neg-in_binary64`
81×	`log-prod_binary64`
79×	`+-commutative_binary64`
78×	`sqr-pow_binary64`
75×	`associate-*r/_binary64`
73×	`exp-prod_binary64`
58×	`associate-/r*_binary64`
52×	`log-div_binary64` `associate-*l/_binary64`
50×	`associate--l+_binary64`
49×	`neg-sub0_binary64`
48×	`distribute-neg-frac_binary64`
46×	`neg-mul-1_binary64` `associate-+l+_binary64`
44×	`distribute-rgt-in_binary64`
42×	`exp-sum_binary64`
41×	`cube-prod_binary64`
34×	`unsub-neg_binary64`
33×	`*-lft-identity_binary64`
32×	`*-rgt-identity_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
31×	`associate-+r+_binary64`
27×	`cube-div_binary64` `swap-sqr_binary64`
22×	`log-pow_binary64`
18×	`distribute-neg-in_binary64`
16×	`unpow3_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`cube-mult_binary64` `associate-+r-_binary64`
10×	`log-rec_binary64` `rem-exp-log_binary64` `distribute-lft-neg-out_binary64`
9×	`/-rgt-identity_binary64` `pow-sqr_binary64`
6×	`distribute-rgt-out_binary64`
5×	`unpow1/2_binary64` `exp-neg_binary64`
4×	`pow-base-1_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
3×	`pow-plus_binary64` `exp-to-pow_binary64` `unpow1_binary64` `prod-exp_binary64` `count-2_binary64`
2×	`unpow2_binary64` `div-exp_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-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` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `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-square-sqrt_binary64` `--rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

162 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	4139
1	732	3826
2	2265	3802
3	4725	3772
4	4959	3772
5	4930	3772

prune146.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	131	10	141

Error

0.0b

Counts

141 → 10

Compiler

Compiled 2844 to 1652 computations (41.9% saved)

regimes2.5s (21.1%)

Accuracy

Total 0.2b remaining (64.1%)

Threshold costs 0.2b (64.1%)

Compiler

Compiled 29808 to 23221 computations (22.1% saved)

bsearch160.0ms (1.4%)

Steps

Iters	Range		Point
10	7867.108438164929	2.2546954357968456e+18	136482825.39378622
10	-435844076296.6583	-0.00728345505897147	-116176521.51939529

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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	38	124
1	54	124
2	68	124
3	83	124
4	91	124
5	94	124
6	92	124

end2.0ms (0%)

Compiler: Compiled 81 to 45 computations (44.4% saved)

sample3.1s (26.6%)

Algorithm

1×

intervals

Results

1.2s	2253×	body	1024	valid
526.0ms	4035×	body	128	valid
426.0ms	1133×	body	512	valid
140.0ms	576×	body	256	valid
78.0ms	638×	body	128	invalid
11.0ms	109×	body	128	nan
3.0ms	3×	body	2048	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 335 to 262 computations (21.8% saved)

Details

analyze1.9s (15.9%)

sample102.0ms (0.9%)

simplify136.0ms (1.2%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

rewrite238.0ms (2%)

series283.0ms (2.4%)

simplify172.0ms (1.5%)

prune134.0ms (1.1%)

localize16.0ms (0.1%)

rewrite285.0ms (2.4%)

series354.0ms (3%)

simplify188.0ms (1.6%)

prune218.0ms (1.9%)

localize16.0ms (0.1%)

rewrite431.0ms (3.7%)

series208.0ms (1.8%)

simplify187.0ms (1.6%)

prune224.0ms (1.9%)

localize18.0ms (0.2%)

rewrite234.0ms (2%)

series275.0ms (2.4%)

simplify178.0ms (1.5%)

prune146.0ms (1.3%)

regimes2.5s (21.1%)

bsearch160.0ms (1.4%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.1s (26.6%)

Profiling