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)

sample100.0ms (0.8%)

Algorithm

1×

intervals

Results

40.0ms	71×	body	1024	valid
20.0ms	44×	body	512	valid
16.0ms	127×	body	128	valid
3.0ms	14×	body	256	valid
3.0ms	19×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify137.0ms (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

11.1b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.1b	(/.f64 F (sin.f64 B))
6.4b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
16.3b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite238.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

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)

series278.0ms (2.3%)

Error

0.2b

Counts

4 → 44

Calls

4 calls:

90.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
69.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
45.0ms	(/.f64 x (tan.f64 B))
26.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3267 to 2463 computations (24.6% saved)

simplify170.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-/l*_binary64`
438×	`associate-*l/_binary64`
220×	`associate-/r*_binary64`
199×	`times-frac_binary64`
188×	`cancel-sign-sub-inv_binary64`
164×	`associate-/l/_binary64`
132×	`associate-l_binary64`
130×	`associate-r_binary64`
127×	`associate-/r/_binary64`
126×	`*-commutative_binary64`
117×	`distribute-rgt-neg-in_binary64`
113×	`log-div_binary64`
106×	`distribute-lft-neg-in_binary64`
90×	`sub-neg_binary64`
88×	`log-prod_binary64`
77×	`sqr-pow_binary64`
70×	`associate-*r/_binary64`
67×	`distribute-neg-frac_binary64`
65×	`unswap-sqr_binary64`
64×	`distribute-rgt-in_binary64`
63×	`neg-sub0_binary64`
61×	`neg-mul-1_binary64`
53×	`exp-prod_binary64`
52×	`distribute-lft-in_binary64`
46×	`+-commutative_binary64`
45×	`cube-div_binary64`
44×	`cube-prod_binary64`
43×	`div-sub_binary64`
37×	`exp-sum_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` `unpow3_binary64` `cube-unmult_binary64`
14×	`exp-diff_binary64` `*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `associate--l+_binary64`
11×	`swap-sqr_binary64`
10×	`rem-exp-log_binary64` `cube-mult_binary64`
9×	`/-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

159 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	313	3623
1	718	3417
2	1956	3409
3	4562	3379
4	4936	3379
5	4936	3379

prune136.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	9	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	92	10	102

Error

0.1b

Counts

102 → 10

Compiler

Compiled 2762 to 1459 computations (47.2% saved)

localize19.0ms (0.2%)

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))
16.3b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite200.0ms (1.7%)

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))
10.0ms	(.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)

series299.0ms (2.5%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

89.0ms	(/.f64 (.f64 F (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)
50.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
41.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 3726 to 2866 computations (23.1% saved)

simplify160.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac_binary64`
318×	`associate-/l/_binary64`
254×	`cancel-sign-sub-inv_binary64`
161×	`distribute-rgt-neg-in_binary64`
146×	`distribute-lft-neg-in_binary64`
144×	`neg-mul-1_binary64`
136×	`associate-r_binary64`
129×	`associate-/l_binary64` `associate-l*_binary64`
120×	`sub-neg_binary64`
111×	`*-commutative_binary64`
87×	`log-div_binary64`
80×	`distribute-neg-frac_binary64`
79×	`log-prod_binary64`
78×	`associate-*l/_binary64`
77×	`sqr-pow_binary64`
76×	`exp-prod_binary64`
75×	`unswap-sqr_binary64`
74×	`neg-sub0_binary64`
70×	`distribute-rgt-in_binary64`
69×	`cube-prod_binary64`
58×	`associate-/r*_binary64`
55×	`+-commutative_binary64`
54×	`distribute-lft-in_binary64`
52×	`div-sub_binary64`
46×	`associate-*r/_binary64`
45×	`exp-sum_binary64` `cube-div_binary64`
39×	`associate-/r/_binary64`
29×	`unsub-neg_binary64`
28×	`*-rgt-identity_binary64`
26×	`distribute-neg-in_binary64`
25×	`associate--l+_binary64`
24×	`associate--r+_binary64`
21×	`log-rec_binary64`
20×	`unpow3_binary64`
19×	`log-pow_binary64` `*-lft-identity_binary64`
16×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
15×	`/-rgt-identity_binary64`
14×	`cube-unmult_binary64`
13×	`swap-sqr_binary64` `associate-+l+_binary64`
11×	`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` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

142 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3557
1	718	3284
2	2117	3273
3	4470	3243
4	4971	3243
5	4927	3243

prune149.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	101	11	112

Error

0.1b

Counts

112 → 11

Compiler

Compiled 2628 to 1535 computations (41.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x)))) -1/2))
0.7b	(/.f64 (.f64 F (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2))) (sin.f64 B))
16.3b	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))
16.3b	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))

rewrite318.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

51×	`add-exp-log_binary64`
50×	`add-sqr-sqrt_binary64`
44×	`unpow-prod-down_binary64`
28×	`sqrt-prod_binary64` `prod-exp_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`unswap-sqr_binary64`
15×	`add-cbrt-cube_binary64`
12×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `swap-sqr_binary64`
11×	`div-exp_binary64`
10×	`associate-l_binary64` `associate-r_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `cbrt-unprod_binary64`
3×	`cbrt-undiv_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `-commutative_binary64`

Counts

4 → 131

Calls

4 calls:

20.0ms	(/.f64 (.f64 F (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2))) (sin.f64 B))
18.0ms	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x)))) -1/2))
5.0ms	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))
5.0ms	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))

Compiler

Compiled 5262 to 3231 computations (38.6% saved)

series322.0ms (2.7%)

Error

0.1b

Counts

4 → 56

Calls

4 calls:

92.0ms	(/.f64 (.f64 F (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2))) (sin.f64 B))
51.0ms	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))
50.0ms	(sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))))
43.0ms	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 (.f64 F F) (+.f64 2 (*.f64 2 x)))) -1/2))

Compiler

Compiled 5015 to 3785 computations (24.5% saved)

simplify228.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

277×	`cancel-sign-sub-inv_binary64`
272×	`associate-/l/_binary64`
255×	`associate-/r/_binary64`
250×	`unswap-sqr_binary64`
205×	`associate-r_binary64`
179×	`associate-l_binary64`
160×	`distribute-rgt-neg-in_binary64`
151×	`sub-neg_binary64`
145×	`distribute-lft-neg-in_binary64` `distribute-rgt-in_binary64`
116×	`log-prod_binary64`
112×	`*-commutative_binary64`
111×	`distribute-lft-in_binary64`
99×	`associate-/l*_binary64`
87×	`cube-prod_binary64`
79×	`exp-prod_binary64`
77×	`associate-/r*_binary64`
75×	`log-div_binary64`
70×	`distribute-neg-frac_binary64` `+-commutative_binary64`
69×	`sqr-pow_binary64`
67×	`neg-sub0_binary64`
64×	`times-frac_binary64`
62×	`neg-mul-1_binary64`
53×	`associate--l+_binary64`
51×	`distribute-neg-in_binary64`
50×	`associate-*l/_binary64`
45×	`associate--r+_binary64`
43×	`cube-div_binary64` `associate-*r/_binary64`
40×	`unsub-neg_binary64`
32×	`div-sub_binary64`
30×	`unpow3_binary64` `associate-+l+_binary64`
25×	`cube-unmult_binary64`
22×	`log-pow_binary64`
20×	`*-rgt-identity_binary64`
19×	`cube-mult_binary64`
17×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
16×	`pow-plus_binary64`
15×	`swap-sqr_binary64`
14×	`pow-sqr_binary64`
13×	`rem-sqrt-square_binary64`
12×	`distribute-rgt-out_binary64`
10×	`*-lft-identity_binary64`
7×	`log-rec_binary64` `distribute-lft-out_binary64`
6×	`unpow-1_binary64`
5×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
4×	`pow-base-1_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1/2_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `difference-of-squares_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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

187 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	6087
1	669	5593
2	2377	5442
3	4570	5420
4	4988	5420
5	4945	5420

prune230.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	161	10	171

Error

0.1b

Counts

171 → 10

Compiler

Compiled 4410 to 2684 computations (39.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))
4.7b	(.f64 (/.f64 F (.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))) (cbrt.f64 (sin.f64 B))))
16.3b	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))

rewrite508.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

302×	`times-frac_binary64`
209×	`add-sqr-sqrt_binary64`
148×	`associate-r_binary64`
144×	`*-un-lft-identity_binary64`
136×	`add-cube-cbrt_binary64`
88×	`cbrt-prod_binary64`
65×	`sqrt-prod_binary64`
64×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64` `div-exp_binary64`
22×	`unswap-sqr_binary64`
20×	`prod-exp_binary64`
15×	`cbrt-undiv_binary64`
14×	`sqrt-div_binary64`
12×	`cbrt-unprod_binary64` `associate-/r/_binary64`
8×	`div-inv_binary64`
7×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`pow1/3_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 250

Calls

4 calls:

60.0ms	(.f64 (/.f64 F (.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))) (cbrt.f64 (sin.f64 B))))
5.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))
1.0ms	(cbrt.f64 (sin.f64 B))
1.0ms	(cbrt.f64 (sin.f64 B))

Compiler

Compiled 11026 to 4916 computations (55.4% saved)

series221.0ms (1.9%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

91.0ms	(.f64 (/.f64 F (.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))) (cbrt.f64 (sin.f64 B))))
46.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))
18.0ms	(cbrt.f64 (sin.f64 B))
17.0ms	(cbrt.f64 (sin.f64 B))

Compiler

Compiled 3272 to 2246 computations (31.4% saved)

simplify200.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-*r/_binary64`
377×	`associate-*l/_binary64`
354×	`associate-/l*_binary64`
289×	`associate-l_binary64`
287×	`associate-/r*_binary64`
269×	`associate-r_binary64`
246×	`associate-/l/_binary64`
244×	`times-frac_binary64`
137×	`*-commutative_binary64`
46×	`sub-neg_binary64`
35×	`cancel-sign-sub-inv_binary64`
33×	`sqr-pow_binary64`
32×	`distribute-rgt-in_binary64`
30×	`distribute-lft-in_binary64`
22×	`+-commutative_binary64`
21×	`neg-sub0_binary64` `distribute-neg-in_binary64`
19×	`neg-mul-1_binary64`
18×	`distribute-rgt-neg-in_binary64`
15×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
12×	`/-rgt-identity_binary64`
10×	`associate-+l-_binary64`
9×	`*-rgt-identity_binary64`
8×	`log-div_binary64` `swap-sqr_binary64`
7×	`cube-unmult_binary64` `*-lft-identity_binary64` `distribute-neg-frac_binary64` `associate--l+_binary64`
6×	`unpow3_binary64` `cube-mult_binary64` `unswap-sqr_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
5×	`log-prod_binary64` `exp-prod_binary64`
3×	`unpow1/3_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `cube-prod_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-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` `unpow1/2_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` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-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` `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` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

288 → 258

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	428	12567
1	1273	9905
2	5090	9905

prune274.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	258	10	268

Error

0.1b

Counts

268 → 10

Compiler

Compiled 7605 to 4017 computations (47.2% saved)

regimes2.4s (20.6%)

Accuracy

Total 1.3b remaining (94%)

Threshold costs 0b (0%)

Compiler

Compiled 29244 to 22665 computations (22.5% saved)

bsearch140.0ms (1.2%)

Steps

Iters	Range		Point
8	63.775349520829494	3589599.735628553	3525216.0433835695
9	-2.5227948790960817e+196	-1.2585042237341411e+187	-1.2847668944349614e+187

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`*-commutative_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` `*-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-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	35	107
1	49	107
2	63	107
3	78	107
4	86	107
5	89	107
6	87	107

end2.0ms (0%)

Compiler: Compiled 70 to 37 computations (47.1% saved)

sample3.2s (26.6%)

Algorithm

1×

intervals

Results

1.3s	2275×	body	1024	valid
527.0ms	4096×	body	128	valid
417.0ms	1098×	body	512	valid
133.0ms	527×	body	256	valid
82.0ms	667×	body	128	invalid
9.0ms	92×	body	128	nan
7.0ms	4×	body	2048	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 352 to 267 computations (24.1% saved)

Details

analyze1.9s (15.6%)

sample100.0ms (0.8%)

simplify137.0ms (1.2%)

prune8.0ms (0.1%)

localize24.0ms (0.2%)

rewrite238.0ms (2%)

series278.0ms (2.3%)

simplify170.0ms (1.4%)

prune136.0ms (1.1%)

localize19.0ms (0.2%)

rewrite200.0ms (1.7%)

series299.0ms (2.5%)

simplify160.0ms (1.4%)

prune149.0ms (1.3%)

localize20.0ms (0.2%)

rewrite318.0ms (2.7%)

series322.0ms (2.7%)

simplify228.0ms (1.9%)

prune230.0ms (1.9%)

localize23.0ms (0.2%)

rewrite508.0ms (4.3%)

series221.0ms (1.9%)

simplify200.0ms (1.7%)

prune274.0ms (2.3%)

regimes2.4s (20.6%)

bsearch140.0ms (1.2%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.2s (26.6%)

Profiling