Details

analyze1.9s (13.1%)

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)

sample104.0ms (0.7%)

Algorithm

1×

intervals

Results

45.0ms	80×	body	1024	valid
20.0ms	128×	body	128	valid
13.0ms	34×	body	512	valid
4.0ms	14×	body	256	valid
3.0ms	24×	body	128	invalid
1.0ms	5×	body	128	nan

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify142.0ms (1%)

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

prune9.0ms (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

13.0b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.1b	(/.f64 F (sin.f64 B))
5.6b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
16.9b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite238.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

10.6b

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))
9.0ms	(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)

series273.0ms (1.9%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

87.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
66.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
45.0ms	(/.f64 x (tan.f64 B))
27.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3094 to 2333 computations (24.6% saved)

simplify170.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-/l*_binary64`
428×	`associate-*l/_binary64`
320×	`associate-*r/_binary64`
210×	`associate-/r*_binary64`
195×	`times-frac_binary64`
183×	`cancel-sign-sub-inv_binary64`
161×	`associate-/l/_binary64`
130×	`associate-l_binary64` `associate-r_binary64`
123×	`associate-/r/_binary64`
122×	`*-commutative_binary64`
116×	`log-div_binary64`
106×	`distribute-rgt-neg-in_binary64`
97×	`distribute-lft-neg-in_binary64`
85×	`sub-neg_binary64`
74×	`sqr-pow_binary64`
63×	`unswap-sqr_binary64`
60×	`log-prod_binary64`
59×	`distribute-neg-frac_binary64`
57×	`neg-sub0_binary64`
55×	`neg-mul-1_binary64`
53×	`exp-prod_binary64`
47×	`cube-div_binary64`
44×	`cube-prod_binary64` `+-commutative_binary64`
43×	`distribute-rgt-in_binary64`
37×	`exp-sum_binary64` `div-sub_binary64`
31×	`distribute-lft-in_binary64`
25×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
22×	`unsub-neg_binary64`
19×	`log-pow_binary64`
18×	`associate--r+_binary64`
15×	`log-rec_binary64` `cube-unmult_binary64`
14×	`unpow3_binary64` `exp-diff_binary64` `*-lft-identity_binary64` `associate--l+_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`swap-sqr_binary64`
10×	`rem-exp-log_binary64`
9×	`cube-mult_binary64` `/-rgt-identity_binary64` `associate-+l+_binary64`
8×	`pow-sqr_binary64`
6×	`distribute-rgt-out_binary64`
5×	`prod-exp_binary64` `exp-neg_binary64`
4×	`pow-base-1_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64`
2×	`pow-plus_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-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` `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

157 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	3543
1	689	3337
2	1875	3329
3	4594	3299
4	4968	3299
5	4935	3299

prune139.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	12	100

Error

0.0b

Counts

100 → 12

Compiler

Compiled 2781 to 1490 computations (46.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.3b	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
0.7b	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
16.9b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite203.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 93

Calls

4 calls:

10.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
9.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 2680 to 1408 computations (47.5% saved)

series279.0ms (1.9%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

85.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
54.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
44.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
43.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 3468 to 2670 computations (23% saved)

simplify160.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
313×	`associate-/l/_binary64`
248×	`associate-/r/_binary64`
239×	`cancel-sign-sub-inv_binary64`
143×	`distribute-rgt-neg-in_binary64`
137×	`neg-mul-1_binary64`
133×	`distribute-lft-neg-in_binary64`
132×	`associate-r_binary64`
124×	`associate-/l*_binary64`
123×	`associate-l_binary64`
119×	`log-prod_binary64`
112×	`sub-neg_binary64`
105×	`*-commutative_binary64`
85×	`log-div_binary64`
80×	`exp-prod_binary64`
77×	`cube-prod_binary64`
74×	`sqr-pow_binary64`
73×	`unswap-sqr_binary64`
72×	`associate-*l/_binary64`
68×	`distribute-neg-frac_binary64`
67×	`neg-sub0_binary64`
55×	`associate-/r*_binary64`
52×	`+-commutative_binary64`
48×	`div-sub_binary64` `distribute-rgt-in_binary64`
46×	`associate-*r/_binary64`
45×	`exp-sum_binary64`
40×	`cube-div_binary64`
32×	`distribute-lft-in_binary64`
29×	`unsub-neg_binary64`
28×	`*-rgt-identity_binary64`
26×	`distribute-neg-in_binary64`
25×	`associate--l+_binary64`
24×	`associate--r+_binary64`
19×	`log-pow_binary64` `unpow3_binary64`
18×	`log-rec_binary64` `*-lft-identity_binary64`
16×	`exp-diff_binary64`
15×	`/-rgt-identity_binary64`
14×	`cube-unmult_binary64`
13×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64` `associate-+l+_binary64`
10×	`cube-mult_binary64`
9×	`rem-exp-log_binary64`
8×	`pow-sqr_binary64`
7×	`distribute-rgt-out_binary64`
5×	`prod-exp_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64`
4×	`pow-base-1_binary64` `div-exp_binary64` `distribute-lft-out_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64`
2×	`pow-plus_binary64` `unpow1_binary64` `rec-exp_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+r+_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-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` `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` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

139 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	299	3439
1	680	3166
2	2002	3158
3	4429	3128
4	4929	3128
5	4924	3128

prune144.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	99	12	111

Error

0.0b

Counts

111 → 12

Compiler

Compiled 2581 to 1520 computations (41.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))))
0.3b	(.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))
0.6b	(/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2)))
16.9b	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)

rewrite286.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 127

Calls

4 calls:

12.0ms	(/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2)))
12.0ms	(/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))))
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)

Compiler

Compiled 4021 to 2283 computations (43.2% saved)

series341.0ms (2.4%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

84.0ms	(/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2)))
82.0ms	(/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))))
55.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
46.0ms	(.f64 F (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x))) -1/2))

Compiler

Compiled 4522 to 3426 computations (24.2% saved)

simplify298.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

518×	`associate-/r/_binary64`
344×	`associate-/l/_binary64`
325×	`cancel-sign-sub-inv_binary64`
192×	`associate-r_binary64`
171×	`sub-neg_binary64`
159×	`distribute-rgt-neg-in_binary64`
157×	`*-commutative_binary64`
149×	`associate-l_binary64`
148×	`distribute-lft-neg-in_binary64`
117×	`associate-/l*_binary64`
116×	`associate-/r*_binary64`
96×	`log-prod_binary64`
94×	`times-frac_binary64`
87×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
85×	`exp-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
78×	`sqr-pow_binary64`
76×	`unswap-sqr_binary64`
73×	`distribute-rgt-in_binary64`
72×	`+-commutative_binary64`
67×	`log-div_binary64` `associate-*r/_binary64`
66×	`cube-prod_binary64`
57×	`distribute-neg-in_binary64`
46×	`unsub-neg_binary64`
45×	`distribute-lft-in_binary64` `associate--l+_binary64` `associate--r+_binary64`
43×	`exp-sum_binary64`
39×	`cube-div_binary64`
33×	`*-rgt-identity_binary64`
29×	`/-rgt-identity_binary64`
26×	`log-pow_binary64`
23×	`prod-exp_binary64` `associate-+l+_binary64`
21×	`*-lft-identity_binary64`
20×	`associate-+r+_binary64`
19×	`unpow3_binary64` `swap-sqr_binary64`
17×	`log-rec_binary64`
16×	`div-exp_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`cube-mult_binary64`
13×	`exp-diff_binary64`
12×	`cube-unmult_binary64`
9×	`rem-exp-log_binary64` `div-sub_binary64`
8×	`pow-sqr_binary64` `associate--r-_binary64`
7×	`distribute-rgt-out_binary64`
4×	`unpow1/2_binary64` `pow-base-1_binary64` `rec-exp_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
3×	`exp-to-pow_binary64` `unpow1_binary64` `count-2_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
1×	`log-E_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_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` `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` `*-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-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

182 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	342	5814
1	817	5248
2	2652	5210
3	4624	5180
4	4975	5180
5	4999	5180
6	4999	5180
7	4953	5180

prune206.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	3	7	10
Picked	1	0	1
Done	1	0	1
Total	166	10	176

Error

0.0b

Counts

176 → 10

Compiler

Compiled 3924 to 2301 computations (41.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 F (.f64 (cbrt.f64 1) (cbrt.f64 1))) (/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))))
0.3b	(/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))
0.4b	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))
16.9b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite1.1s (7.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

594×	`times-frac_binary64`
307×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
155×	`associate-r_binary64`
153×	`cbrt-prod_binary64`
132×	`unpow-prod-down_binary64`
83×	`add-exp-log_binary64`
44×	`sqr-pow_binary64`
33×	`add-cbrt-cube_binary64`
32×	`associate-/r*_binary64`
31×	`div-exp_binary64`
30×	`prod-exp_binary64`
18×	`cbrt-unprod_binary64`
16×	`div-inv_binary64`
14×	`pow1_binary64`
13×	`cbrt-undiv_binary64`
9×	`associate-/l*_binary64`
6×	`pow-to-exp_binary64` `pow-exp_binary64` `pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64`
1×	`pow-pow_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 452

Calls

4 calls:

46.0ms	(.f64 (.f64 F (.f64 (cbrt.f64 1) (cbrt.f64 1))) (/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))))
16.0ms	(/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))
9.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

Compiler

Compiled 22656 to 14843 computations (34.5% saved)

series389.0ms (2.7%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

86.0ms	(/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))
83.0ms	(.f64 (.f64 F (.f64 (cbrt.f64 1) (cbrt.f64 1))) (/.f64 (cbrt.f64 1) (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))))
80.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))
56.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

Compiler

Compiled 5586 to 4323 computations (22.6% saved)

simplify586.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l*_binary64`
445×	`associate-/r/_binary64`
441×	`associate-*r/_binary64`
363×	`associate-*l/_binary64`
311×	`associate-/l/_binary64`
188×	`*-commutative_binary64`
160×	`times-frac_binary64`
153×	`associate-/r*_binary64`
144×	`associate-l_binary64`
79×	`neg-mul-1_binary64`
73×	`log-div_binary64`
66×	`sub-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
41×	`sqr-pow_binary64`
35×	`log-prod_binary64`
33×	`neg-sub0_binary64`
31×	`+-commutative_binary64`
29×	`exp-prod_binary64`
28×	`distribute-neg-in_binary64`
27×	`associate-r_binary64`
22×	`distribute-rgt-neg-in_binary64`
21×	`cube-div_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`unswap-sqr_binary64`
14×	`swap-sqr_binary64`
11×	`log-pow_binary64` `log-rec_binary64` `distribute-neg-frac_binary64` `associate--l+_binary64`
10×	`cube-unmult_binary64` `distribute-rgt-in_binary64` `associate--r+_binary64`
9×	`*-rgt-identity_binary64` `associate-+r-_binary64`
8×	`exp-sum_binary64` `cube-prod_binary64` `/-rgt-identity_binary64` `distribute-lft-in_binary64`
7×	`associate-+r+_binary64`
6×	`div-sub_binary64` `mul-1-neg_binary64` `remove-double-div_binary64` `associate-+l+_binary64`
5×	`rem-exp-log_binary64` `distribute-rgt-out_binary64`
4×	`exp-diff_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64`
3×	`unpow3_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `cube-mult_binary64` `pow-sqr_binary64`
2×	`unpow2_binary64` `associate--r-_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `unpow0_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` `cube-neg_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` `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-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

510 → 490

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	661	23407
1	1761	20906
2	4803	20899
3	4969	20899
4	4965	20899

prune756.0ms (5.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	489	1	490
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	490	10	500

Error

0.0b

Counts

500 → 10

Compiler

Compiled 17697 to 11225 computations (36.6% saved)

regimes3.1s (21.8%)

Accuracy

Total 0.1b remaining (65%)

Threshold costs 0.1b (65%)

Compiler

Compiled 36736 to 29173 computations (20.6% saved)

bsearch107.0ms (0.7%)

Steps

Iters	Range		Point
3	1.8099490305362118e+26	3.082007227635752e+26	1.9689563051736543e+26
9	-1.084325120198357e+20	-62975886349.37238	-64003883249.95031

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64` `*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-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	34	89
1	48	89
2	57	89
3	62	89
4	65	89
5	66	89
6	65	89

end2.0ms (0%)

Compiler: Compiled 57 to 39 computations (31.6% saved)

sample3.3s (23.1%)

Algorithm

1×

intervals

Results

1.3s	2224×	body	1024	valid
543.0ms	4183×	body	128	valid
410.0ms	1074×	body	512	valid
130.0ms	516×	body	256	valid
89.0ms	656×	body	128	invalid
13.0ms	132×	body	128	nan
3.0ms	3×	body	2048	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 324 to 270 computations (16.7% saved)

Details

analyze1.9s (13.1%)

sample104.0ms (0.7%)

simplify142.0ms (1%)

prune9.0ms (0.1%)

localize25.0ms (0.2%)

rewrite238.0ms (1.7%)

series273.0ms (1.9%)

simplify170.0ms (1.2%)

prune139.0ms (1%)

localize20.0ms (0.1%)

rewrite203.0ms (1.4%)

series279.0ms (1.9%)

simplify160.0ms (1.1%)

prune144.0ms (1%)

localize18.0ms (0.1%)

rewrite286.0ms (2%)

series341.0ms (2.4%)

simplify298.0ms (2.1%)

prune206.0ms (1.4%)

localize21.0ms (0.1%)

rewrite1.1s (7.8%)

series389.0ms (2.7%)

simplify586.0ms (4.1%)

prune756.0ms (5.2%)

regimes3.1s (21.8%)

bsearch107.0ms (0.7%)

simplify6.0ms (0%)

end2.0ms (0%)

sample3.3s (23.1%)

Profiling