Details

analyze1.9s (15.6%)

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)

sample96.0ms (0.8%)

Algorithm

1×

intervals

Results

38.0ms	64×	body	1024	valid
18.0ms	136×	body	128	valid
14.0ms	37×	body	512	valid
5.0ms	19×	body	256	valid
3.0ms	21×	body	128	invalid
0.0ms	3×	body	128	nan
0.0ms	1×	body	256	invalid

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify144.0ms (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

prune15.0ms (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

11.3b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 F (sin.f64 B))
0.2b	(/.f64 x (tan.f64 B))
6.5b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
14.5b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite232.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

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:

15.0ms	(.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 F (sin.f64 B))
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 3318 to 1540 computations (53.6% saved)

series268.0ms (2.2%)

Error

0.2b

Counts

4 → 43

Calls

4 calls:

85.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
63.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
46.0ms	(/.f64 x (tan.f64 B))
24.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3099 to 2332 computations (24.7% saved)

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-/l*_binary64`
411×	`associate-*l/_binary64`
307×	`associate-*r/_binary64`
220×	`cancel-sign-sub-inv_binary64`
208×	`associate-/r*_binary64`
181×	`times-frac_binary64`
147×	`associate-/l/_binary64`
134×	`associate-r_binary64`
133×	`associate-l_binary64`
126×	`*-commutative_binary64`
118×	`distribute-rgt-neg-in_binary64`
115×	`log-div_binary64`
113×	`associate-/r/_binary64`
106×	`distribute-lft-neg-in_binary64`
92×	`sub-neg_binary64`
80×	`sqr-pow_binary64`
68×	`distribute-rgt-in_binary64`
65×	`unswap-sqr_binary64`
61×	`neg-sub0_binary64`
59×	`neg-mul-1_binary64`
58×	`log-prod_binary64`
55×	`distribute-neg-frac_binary64`
54×	`distribute-lft-in_binary64`
53×	`exp-prod_binary64`
47×	`+-commutative_binary64`
37×	`exp-sum_binary64`
27×	`distribute-neg-in_binary64`
24×	`*-rgt-identity_binary64`
23×	`unsub-neg_binary64`
21×	`associate--r+_binary64`
15×	`log-rec_binary64` `unpow3_binary64` `distribute-lft-neg-out_binary64`
14×	`log-pow_binary64` `exp-diff_binary64` `associate--l+_binary64`
13×	`cube-prod_binary64` `*-lft-identity_binary64`
11×	`cube-unmult_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
10×	`distribute-rgt-out_binary64`
9×	`/-rgt-identity_binary64`
8×	`pow-sqr_binary64` `distribute-lft-out_binary64`
7×	`cube-div_binary64`
6×	`associate-+r+_binary64`
5×	`prod-exp_binary64` `exp-neg_binary64` `rem-exp-log_binary64`
4×	`pow-base-1_binary64` `div-exp_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64` `div-sub_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

158 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3582
1	710	3387
2	1948	3378
3	4746	3366
4	4972	3366
5	4941	3366

prune135.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Error

0.1b

Counts

100 → 8

Compiler

Compiled 2709 to 1432 computations (47.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
6.5b	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
14.9b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
14.9b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite282.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

74×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-l_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
11×	`unswap-sqr_binary64`
10×	`div-exp_binary64` `times-frac_binary64`
8×	`pow1_binary64` `associate-r_binary64`
7×	`cbrt-unprod_binary64` `swap-sqr_binary64`
6×	`pow-unpow_binary64`
4×	`add-log-exp_binary64`
2×	`pow-pow_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64` `div-inv_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`

Counts

4 → 136

Calls

4 calls:

24.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
16.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 5337 to 3015 computations (43.5% saved)

series309.0ms (2.5%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

86.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
53.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
53.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
43.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))

Compiler

Compiled 4719 to 3630 computations (23.1% saved)

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

397×	`associate-*l/_binary64`
372×	`associate-/l*_binary64`
287×	`associate-r_binary64`
220×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64`
177×	`associate-/r*_binary64`
174×	`associate-l_binary64`
149×	`distribute-rgt-in_binary64`
145×	`*-commutative_binary64`
135×	`distribute-lft-in_binary64`
116×	`times-frac_binary64`
115×	`distribute-rgt-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
99×	`sqr-pow_binary64`
89×	`sub-neg_binary64`
61×	`distribute-neg-frac_binary64`
60×	`associate-/r/_binary64`
58×	`neg-sub0_binary64`
55×	`+-commutative_binary64`
54×	`neg-mul-1_binary64`
47×	`associate-*r/_binary64`
46×	`log-prod_binary64`
42×	`exp-prod_binary64`
26×	`associate-/l/_binary64`
24×	`unsub-neg_binary64` `distribute-neg-in_binary64`
23×	`swap-sqr_binary64`
22×	`*-rgt-identity_binary64` `associate--l+_binary64`
21×	`cube-prod_binary64` `associate--r+_binary64`
19×	`pow-sqr_binary64`
16×	`associate-+l+_binary64`
15×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
11×	`*-lft-identity_binary64` `associate-+r+_binary64`
10×	`exp-sum_binary64`
9×	`log-div_binary64`
7×	`log-pow_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
6×	`pow-plus_binary64` `rem-sqrt-square_binary64` `count-2_binary64` `associate-+l-_binary64`
5×	`mul-1-neg_binary64`
4×	`cube-mult_binary64` `cube-div_binary64`
3×	`unpow3_binary64` `pow-base-1_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `div-sub_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_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-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

185 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	5736
1	690	5200
2	2195	5149
3	4953	5149

prune191.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	162	8	170

Error

0.1b

Counts

170 → 8

Compiler

Compiled 4330 to 2491 computations (42.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (tan.f64 B))
0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
6.5b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
14.5b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

rewrite303.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

65×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
46×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64`
31×	`add-exp-log_binary64`
30×	`pow-unpow_binary64`
21×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64` `associate-l_binary64`
13×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
10×	`prod-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`unpow-prod-down_binary64` `pow1_binary64`
7×	`div-exp_binary64`
5×	`div-inv_binary64`
4×	`pow-neg_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `cbrt-unprod_binary64`
3×	`neg-sub0_binary64` `pow-sub_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-/l_binary64` `associate-/r*_binary64`
2×	`frac-times_binary64` `un-div-inv_binary64` `*-commutative_binary64` `1-exp_binary64` `rec-exp_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`neg-mul-1_binary64` `pow-pow_binary64` `associate-*l/_binary64` `pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 163

Calls

4 calls:

18.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
10.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
9.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
4.0ms	(/.f64 1 (tan.f64 B))

Compiler

Compiled 5512 to 3414 computations (38.1% saved)

series281.0ms (2.3%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

93.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
69.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
44.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
17.0ms	(/.f64 1 (tan.f64 B))

Compiler

Compiled 3415 to 2660 computations (22.1% saved)

simplify266.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

551×	`times-frac_binary64`
285×	`cancel-sign-sub-inv_binary64`
216×	`associate-l_binary64`
210×	`associate-r_binary64`
192×	`sub-neg_binary64`
180×	`neg-mul-1_binary64`
171×	`neg-sub0_binary64`
163×	`*-commutative_binary64`
160×	`distribute-rgt-neg-in_binary64`
142×	`sqr-pow_binary64`
140×	`distribute-lft-neg-in_binary64`
126×	`associate-/l*_binary64`
94×	`associate-*r/_binary64`
92×	`log-prod_binary64`
88×	`div-sub_binary64`
87×	`distribute-rgt-in_binary64`
86×	`associate-*l/_binary64`
80×	`distribute-neg-frac_binary64`
67×	`unswap-sqr_binary64`
63×	`distribute-lft-in_binary64`
60×	`unsub-neg_binary64` `associate-/r*_binary64`
59×	`exp-sum_binary64` `+-commutative_binary64`
54×	`exp-prod_binary64`
42×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
39×	`cube-prod_binary64`
37×	`pow-sqr_binary64`
32×	`log-pow_binary64` `associate-/l/_binary64`
31×	`*-lft-identity_binary64`
29×	`log-div_binary64`
28×	`unpow3_binary64` `associate--r+_binary64`
24×	`exp-to-pow_binary64` `/-rgt-identity_binary64`
19×	`swap-sqr_binary64`
18×	`associate-/r/_binary64`
17×	`cube-unmult_binary64`
16×	`distribute-frac-neg_binary64` `distribute-lft-neg-out_binary64`
15×	`cube-div_binary64` `associate--l+_binary64` `associate-+l+_binary64`
14×	`exp-diff_binary64`
13×	`distribute-rgt-out_binary64`
11×	`cube-mult_binary64` `associate-+r+_binary64`
10×	`pow-plus_binary64` `rem-exp-log_binary64`
9×	`distribute-rgt-neg-out_binary64`
6×	`log-rec_binary64` `associate-+r-_binary64`
5×	`exp-neg_binary64`
4×	`unpow1/2_binary64` `pow-base-1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
3×	`div-exp_binary64` `prod-exp_binary64` `mul-1-neg_binary64`
2×	`unpow1_binary64` `+-rgt-identity_binary64` `div0_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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` `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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

205 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	4322
1	876	4094
2	2643	4084
3	4426	4054
4	4931	4054
5	4991	4054
6	4996	4054
7	4895	4054

prune197.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	158	12	170

Error

0.0b

Counts

170 → 12

Compiler

Compiled 4400 to 2698 computations (38.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))))))
0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
0.3b	(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))))
14.5b	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))

rewrite195.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `associate-r_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`times-frac_binary64`
9×	`pow1_binary64`
7×	`sqrt-prod_binary64`
6×	`sqrt-div_binary64` `prod-exp_binary64` `associate-l_binary64`
5×	`unswap-sqr_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64` `div-inv_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `1-exp_binary64` `rec-exp_binary64` `un-div-inv_binary64` `tan-quot_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 99

Calls

4 calls:

10.0ms	(/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))))))
10.0ms	(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))))
8.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
5.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))

Compiler

Compiled 2998 to 1753 computations (41.5% saved)

series323.0ms (2.7%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

86.0ms	(/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))))))
79.0ms	(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))))
41.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
41.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))

Compiler

Compiled 4432 to 3292 computations (25.7% saved)

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

528×	`cancel-sign-sub-inv_binary64`
298×	`sub-neg_binary64`
296×	`distribute-rgt-in_binary64`
223×	`distribute-rgt-neg-in_binary64` `associate-l_binary64` `associate-r_binary64`
220×	`neg-sub0_binary64`
218×	`neg-mul-1_binary64`
201×	`distribute-lft-neg-in_binary64`
173×	`*-commutative_binary64`
142×	`times-frac_binary64`
134×	`associate-/r*_binary64`
119×	`associate-/l*_binary64`
117×	`unsub-neg_binary64`
93×	`+-commutative_binary64`
86×	`distribute-neg-in_binary64`
74×	`associate--r+_binary64`
73×	`distribute-neg-frac_binary64`
70×	`associate--l+_binary64`
67×	`associate-*r/_binary64`
62×	`sqr-pow_binary64`
50×	`associate-*l/_binary64`
43×	`/-rgt-identity_binary64` `associate-+l+_binary64`
42×	`unswap-sqr_binary64`
40×	`distribute-lft-in_binary64`
38×	`*-rgt-identity_binary64`
37×	`*-lft-identity_binary64`
35×	`distribute-rgt-out_binary64`
27×	`cube-prod_binary64`
25×	`associate-+r+_binary64`
22×	`exp-prod_binary64` `div-sub_binary64`
21×	`log-prod_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`log-div_binary64` `distribute-lft-out_binary64`
15×	`distribute-lft-out--_binary64`
14×	`cube-div_binary64` `swap-sqr_binary64` `associate-/r/_binary64`
13×	`unpow3_binary64` `distribute-rgt-out--_binary64`
12×	`cube-unmult_binary64`
9×	`cube-mult_binary64` `associate-/l/_binary64`
8×	`associate-+r-_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64`
3×	`pow-plus_binary64` `mul-1-neg_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-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` `remove-double-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

155 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	3819
1	856	3475
2	2984	3409
3	4535	3409
4	4956	3409

prune161.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	120	11	131

Error

0.0b

Counts

131 → 11

Compiler

Compiled 3048 to 1779 computations (41.6% saved)

regimes2.9s (24.2%)

Accuracy

Total 0.6b remaining (92.5%)

Threshold costs 0.6b (92.5%)

Compiler

Compiled 35108 to 28053 computations (20.1% saved)

bsearch88.0ms (0.7%)

Steps

Iters	Range		Point
6	1.153799382213241e-09	6.94721564639649e-09	6.870789093939713e-09
3	-7.813326505214193e+63	-4.415380082633199e+47	-4.5733962104717876e+49

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `unsub-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` `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-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	106
1	56	104
2	72	104
3	81	104
4	87	104
5	89	104
6	88	104

end2.0ms (0%)

Compiler: Compiled 67 to 37 computations (44.8% saved)

sample3.3s (26.9%)

Algorithm

1×

intervals

Results

1.3s	2210×	body	1024	valid
545.0ms	4134×	body	128	valid
439.0ms	1122×	body	512	valid
150.0ms	533×	body	256	valid
92.0ms	695×	body	128	invalid
12.0ms	115×	body	128	nan
1.0ms	1×	body	2048	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 400 to 298 computations (25.5% saved)

Details

analyze1.9s (15.6%)

sample96.0ms (0.8%)

simplify144.0ms (1.2%)

prune15.0ms (0.1%)

localize19.0ms (0.2%)

rewrite232.0ms (1.9%)

series268.0ms (2.2%)

simplify174.0ms (1.4%)

prune135.0ms (1.1%)

localize19.0ms (0.2%)

rewrite282.0ms (2.3%)

series309.0ms (2.5%)

simplify145.0ms (1.2%)

prune191.0ms (1.6%)

localize21.0ms (0.2%)

rewrite303.0ms (2.5%)

series281.0ms (2.3%)

simplify266.0ms (2.2%)

prune197.0ms (1.6%)

localize20.0ms (0.2%)

rewrite195.0ms (1.6%)

series323.0ms (2.7%)

simplify143.0ms (1.2%)

prune161.0ms (1.3%)

regimes2.9s (24.2%)

bsearch88.0ms (0.7%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.3s (26.9%)

Profiling