Details

analyze639.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

505×	`associate-l_binary64`
463×	`div-sub_binary64`
424×	`associate-r_binary64`
400×	`times-frac_binary64`
375×	`associate-/l*_binary64`
298×	`associate-/l/_binary64`
256×	`associate-/r*_binary64`
235×	`associate-/r/_binary64`
212×	`unswap-sqr_binary64`
135×	`exp-sum_binary64`
116×	`exp-prod_binary64`
100×	`sqr-pow_binary64`
97×	`distribute-rgt-in_binary64`
73×	`associate-*r/_binary64`
69×	`distribute-lft-in_binary64`
68×	`sub-neg_binary64`
67×	`log-prod_binary64`
52×	`pow-sqr_binary64`
51×	`exp-diff_binary64`
50×	`*-commutative_binary64`
39×	`associate-*l/_binary64`
34×	`log-div_binary64`
30×	`neg-mul-1_binary64`
28×	`distribute-frac-neg_binary64`
27×	`exp-neg_binary64`
26×	`neg-sub0_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`cube-prod_binary64`
20×	`div-exp_binary64` `cancel-sign-sub-inv_binary64`
18×	`pow-plus_binary64`
17×	`exp-to-pow_binary64` `cube-unmult_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`/-rgt-identity_binary64`
12×	`+-commutative_binary64`
10×	`log-pow_binary64` `distribute-lft-neg-in_binary64` `associate--r+_binary64`
9×	`sub0-neg_binary64` `distribute-rgt-neg-in_binary64`
8×	`associate-+l-_binary64`
7×	`log-rec_binary64` `associate-+r-_binary64`
6×	`exp-sqrt_binary64` `rem-exp-log_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64`
5×	`exp-lft-sqr_binary64`
4×	`rec-exp_binary64` `prod-exp_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
3×	`--rgt-identity_binary64`
2×	`unpow3_binary64` `unpow2_binary64` `unpow-1_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `*-lft-identity_binary64` `+-lft-identity_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` `unpow1/3_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	26	26
2	42	26
3	91	26
4	198	26
5	484	26
6	1180	26
7	4115	26
8	4996	26
0	2	2
1	2	2

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample56.0ms (0.7%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
9.0ms	147×	body	128	valid
8.0ms	33×	body	512	valid
2.0ms	13×	body	256	valid
2.0ms	5×	body	1024	invalid
1.0ms	5×	body	512	invalid
1.0ms	5×	body	256	invalid
0.0ms	6×	body	128	invalid
0.0ms	7×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
270×	`div-sub_binary64`
256×	`associate-l_binary64`
244×	`distribute-rgt-in_binary64`
216×	`associate-r_binary64`
203×	`distribute-lft-in_binary64`
200×	`times-frac_binary64`
193×	`associate-/l*_binary64`
181×	`exp-prod_binary64`
153×	`associate-/l/_binary64`
130×	`exp-diff_binary64`
128×	`associate-/r*_binary64`
124×	`log-div_binary64`
118×	`associate-/r/_binary64`
100×	`distribute-frac-neg_binary64`
93×	`log-pow_binary64`
87×	`sqr-pow_binary64`
85×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64`
84×	`log-prod_binary64`
83×	`exp-sum_binary64`
65×	`*-commutative_binary64`
60×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
43×	`exp-to-pow_binary64` `neg-mul-1_binary64`
41×	`pow-sqr_binary64`
39×	`/-rgt-identity_binary64`
38×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
37×	`neg-sub0_binary64`
34×	`distribute-neg-in_binary64`
25×	`log-rec_binary64`
24×	`distribute-neg-frac_binary64`
22×	`associate-*l/_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`distribute-neg-out_binary64` `+-commutative_binary64`
18×	`pow-plus_binary64` `*-lft-identity_binary64`
17×	`associate--r+_binary64`
16×	`exp-sqrt_binary64` `distribute-lft-neg-in_binary64`
15×	`exp-lft-sqr_binary64`
14×	`associate--l+_binary64`
13×	`cancel-sign-sub_binary64`
12×	`unpow3_binary64` `div-exp_binary64` `exp-neg_binary64` `cube-prod_binary64`
11×	`*-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
10×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
9×	`cube-unmult_binary64`
8×	`sub0-neg_binary64`
7×	`prod-exp_binary64` `distribute-lft-out--_binary64`
6×	`associate--l-_binary64`
5×	`remove-double-neg_binary64` `+-lft-identity_binary64` `associate-+l+_binary64`
4×	`rec-exp_binary64` `rem-exp-log_binary64` `distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
2×	`remove-double-div_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `unpow1_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `mul0-rgt_binary64` `mul0-lft_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	113	13
5	269	13
6	654	13
7	2232	13
8	4517	13
9	4853	13
10	4941	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.8b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite102.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`associate-/r/_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `div-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `sqr-pow_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 66

Calls

2 calls:

10.0ms	(/.f64 x (+.f64 x y))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

Compiler

Compiled 981 to 281 computations (71.4% saved)

series77.0ms (0.9%)

Error

0.0b

Counts

2 → 29

Calls

2 calls:

36.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
27.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1004 to 748 computations (25.5% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

360×	`times-frac_binary64`
336×	`associate-l_binary64`
315×	`associate-r_binary64`
292×	`associate-/l*_binary64`
153×	`sqr-pow_binary64`
145×	`associate-/r*_binary64`
127×	`div-sub_binary64`
125×	`exp-prod_binary64`
122×	`associate-*l/_binary64`
115×	`distribute-rgt-in_binary64`
109×	`associate--l+_binary64`
102×	`associate--r+_binary64`
101×	`associate-/l/_binary64`
100×	`distribute-lft-in_binary64`
89×	`associate-*r/_binary64`
82×	`associate-/r/_binary64`
78×	`exp-sum_binary64`
75×	`sub-neg_binary64`
70×	`cancel-sign-sub-inv_binary64`
61×	`pow-sqr_binary64`
57×	`unswap-sqr_binary64`
55×	`log-prod_binary64`
51×	`+-commutative_binary64`
41×	`cube-unmult_binary64`
40×	`cube-prod_binary64`
39×	`associate-+l-_binary64`
37×	`unsub-neg_binary64` `*-commutative_binary64`
35×	`associate-+r-_binary64`
33×	`exp-diff_binary64`
32×	`associate-+r+_binary64`
29×	`log-div_binary64` `associate-+l+_binary64`
27×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
22×	`distribute-neg-frac_binary64`
20×	`cube-div_binary64`
18×	`/-rgt-identity_binary64`
16×	`distribute-rgt-out_binary64`
15×	`pow-plus_binary64`
14×	`log-pow_binary64` `*-rgt-identity_binary64`
9×	`*-lft-identity_binary64` `swap-sqr_binary64`
8×	`exp-to-pow_binary64`
7×	`unpow3_binary64` `exp-neg_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
6×	`unpow1/2_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64`
5×	`log-rec_binary64` `unpow1_binary64` `cube-mult_binary64`
4×	`unpow2_binary64` `pow-base-1_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`+-rgt-identity_binary64`
2×	`distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`exp-sqrt_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `distribute-neg-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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64`

Counts

95 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1629
1	428	1574
2	1292	1533
3	4437	1517
4	5047	1517

prune27.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	7	45

Error

1.6b

Counts

45 → 7

Compiler

Compiled 532 to 250 computations (53% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)
1.5b	(/.f64 (+.f64 1 (-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)) x)
1.5b	(+.f64 (/.f64 (.f64 y y) x) (.f64 y y))
5.2b	(/.f64 (*.f64 y y) x)

rewrite133.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

24×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/r*_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64` `distribute-lft-out_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `sum-log_binary64` `+-commutative_binary64` `associate-+r-_binary64` `div-sub_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 82

Calls

4 calls:

12.0ms	(/.f64 (+.f64 1 (-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)) x)
10.0ms	(-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)
7.0ms	(+.f64 (/.f64 (.f64 y y) x) (.f64 y y))
5.0ms	(/.f64 (*.f64 y y) x)

Compiler

Compiled 2227 to 877 computations (60.6% saved)

series152.0ms (1.8%)

Error

1.1b

Counts

4 → 36

Calls

4 calls:

53.0ms	(/.f64 (+.f64 1 (-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)) x)
33.0ms	(-.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (*.f64 y y))) y)
21.0ms	(+.f64 (/.f64 (.f64 y y) x) (.f64 y y))
21.0ms	(/.f64 (*.f64 y y) x)

Compiler

Compiled 1259 to 1023 computations (18.7% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

731×	`times-frac_binary64`
541×	`distribute-rgt-in_binary64`
507×	`distribute-lft-in_binary64`
184×	`associate-/l/_binary64`
114×	`exp-prod_binary64`
93×	`cancel-sign-sub-inv_binary64`
92×	`sub-neg_binary64`
86×	`cube-prod_binary64`
80×	`log-prod_binary64`
72×	`associate-/l*_binary64`
58×	`div-sub_binary64`
50×	`associate-l/_binary64` `-commutative_binary64`
47×	`associate-l_binary64`
45×	`associate-*r/_binary64`
44×	`+-commutative_binary64`
42×	`distribute-rgt-neg-in_binary64`
39×	`exp-sum_binary64`
37×	`associate-r_binary64`
35×	`sqr-pow_binary64`
31×	`unswap-sqr_binary64`
30×	`distribute-rgt-out_binary64`
29×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
28×	`distribute-neg-in_binary64`
27×	`neg-mul-1_binary64` `neg-sub0_binary64`
22×	`associate-/r/_binary64` `associate-/r*_binary64`
19×	`distribute-lft-neg-out_binary64`
16×	`associate-+l+_binary64`
15×	`associate--l+_binary64`
14×	`unpow3_binary64` `cube-div_binary64` `*-rgt-identity_binary64`
13×	`log-div_binary64` `*-lft-identity_binary64`
11×	`exp-diff_binary64` `associate--r+_binary64`
9×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
7×	`pow-plus_binary64` `cube-mult_binary64` `/-rgt-identity_binary64`
6×	`unpow1/2_binary64` `unsub-neg_binary64` `distribute-lft-out_binary64`
5×	`log-pow_binary64` `+-rgt-identity_binary64`
4×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
3×	`mul-1-neg_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64` `count-2_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`

Counts

118 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2712
1	435	2524
2	1318	2251
3	4697	2251
4	5042	2251

prune88.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Error

1.1b

Counts

102 → 8

Compiler

Compiled 1574 to 880 computations (44.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)
0.0b	(/.f64 (+.f64 1 (log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))) x)
3.8b	(.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))
4.0b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))

rewrite188.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

33×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`log-prod_binary64` `distribute-lft-out_binary64`
8×	`log-pow_binary64`
6×	`exp-sum_binary64` `cancel-sign-sub-inv_binary64` `add-log-exp_binary64`
5×	`associate-/l*_binary64`
4×	`associate--l+_binary64` `associate-r_binary64`
3×	`exp-prod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-/r*_binary64`
2×	`exp-diff_binary64` `log-div_binary64` `sub-neg_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`rem-log-exp_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `associate-+r-_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

19.0ms	(/.f64 (+.f64 1 (log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))) x)
12.0ms	(-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)
12.0ms	(.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))
12.0ms	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))

Compiler

Compiled 2535 to 1670 computations (34.1% saved)

series232.0ms (2.8%)

Error

1.1b

Counts

4 → 32

Calls

4 calls:

84.0ms	(/.f64 (+.f64 1 (log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))) x)
70.0ms	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)))
34.0ms	(-.f64 (.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) y)
25.0ms	(.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))

Compiler

Compiled 1234 to 1052 computations (14.7% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

659×	`distribute-rgt-in_binary64`
652×	`distribute-lft-in_binary64`
335×	`times-frac_binary64`
133×	`associate-l_binary64`
114×	`cancel-sign-sub-inv_binary64`
99×	`associate-r_binary64`
78×	`distribute-lft-out_binary64`
74×	`*-commutative_binary64`
66×	`unswap-sqr_binary64`
65×	`sqr-pow_binary64`
61×	`exp-prod_binary64` `distribute-rgt-out_binary64`
58×	`distribute-rgt-neg-in_binary64`
56×	`sub-neg_binary64`
45×	`distribute-lft-neg-in_binary64`
38×	`log-prod_binary64`
37×	`+-commutative_binary64`
34×	`div-sub_binary64`
32×	`associate-/l*_binary64`
26×	`cube-prod_binary64`
24×	`log-pow_binary64`
23×	`associate-l/_binary64` `associate-r/_binary64`
22×	`neg-mul-1_binary64` `swap-sqr_binary64`
21×	`rem-log-exp_binary64`
20×	`exp-sum_binary64` `neg-sub0_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64`
17×	`exp-to-pow_binary64` `distribute-neg-in_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
13×	`associate-/l/_binary64`
12×	`associate-+r+_binary64`
11×	`exp-diff_binary64` `distribute-rgt-out--_binary64`
10×	`associate-/r*_binary64`
9×	`unpow3_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64`
7×	`pow-sqr_binary64` `associate-/r/_binary64` `associate--r+_binary64`
6×	`log-div_binary64` `cube-mult_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
5×	`cube-unmult_binary64`
4×	`unpow1/2_binary64` `unsub-neg_binary64`
3×	`pow-plus_binary64` `exp-neg_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

132 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2948
1	439	2759
2	1383	2744
3	4952	2744

prune103.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Error

1.1b

Counts

123 → 8

Compiler

Compiled 1869 to 1271 computations (32% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))
2.9b	(/.f64 (pow.f64 y 3) x)
5.2b	(/.f64 (*.f64 y y) x)
10.0b	(+.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (.f64 y y))) (-.f64 (-.f64 1 (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))))

rewrite624.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

79×	`times-frac_binary64`
68×	`add-sqr-sqrt_binary64`
57×	`*-un-lft-identity_binary64`
55×	`add-cube-cbrt_binary64`
40×	`associate-l_binary64`
34×	`associate-*r/_binary64`
24×	`add-exp-log_binary64` `frac-add_binary64`
23×	`flip3-+_binary64` `flip-+_binary64`
22×	`unpow-prod-down_binary64` `cube-prod_binary64`
20×	`frac-sub_binary64`
18×	`add-log-exp_binary64`
16×	`add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
12×	`flip3--_binary64` `flip--_binary64`
10×	`frac-times_binary64`
8×	`div-exp_binary64` `sqr-pow_binary64`
7×	`unpow3_binary64` `cube-mult_binary64`
6×	`pow1_binary64` `associate-+r+_binary64` `associate-/r*_binary64`
5×	`sum-log_binary64` `diff-log_binary64` `associate-*l/_binary64` `prod-exp_binary64` `unswap-sqr_binary64`
4×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64` `cbrt-undiv_binary64` `associate-r_binary64`
3×	`cbrt-unprod_binary64` `div-inv_binary64`
2×	`distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `sub-neg_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`associate-+r-_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

24.0ms	(+.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (.f64 y y))) (-.f64 (-.f64 1 (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))))
18.0ms	(*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))
6.0ms	(/.f64 (pow.f64 y 3) x)
4.0ms	(/.f64 (*.f64 y y) x)

Compiler

Compiled 11263 to 6550 computations (41.8% saved)

series183.0ms (2.2%)

Error

1.1b

Counts

4 → 37

Calls

4 calls:

61.0ms	(+.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 y y) x) (.f64 y y))) (-.f64 (-.f64 1 (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))))
43.0ms	(*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/2 (/.f64 1/3 x)))
26.0ms	(/.f64 (pow.f64 y 3) x)
25.0ms	(/.f64 (*.f64 y y) x)

Compiler

Compiled 2474 to 1863 computations (24.7% saved)

simplify187.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

630×	`distribute-rgt-in_binary64`
617×	`distribute-lft-in_binary64`
184×	`associate-/l*_binary64`
173×	`*-commutative_binary64`
113×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-neg-in_binary64`
72×	`sub-neg_binary64`
71×	`associate-r_binary64`
66×	`times-frac_binary64`
65×	`+-commutative_binary64`
58×	`distribute-lft-neg-in_binary64`
41×	`associate-*l/_binary64`
40×	`associate-/l/_binary64`
39×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`
37×	`associate-l_binary64`
36×	`sqr-pow_binary64`
29×	`distribute-neg-in_binary64`
25×	`unswap-sqr_binary64`
22×	`associate-/r/_binary64`
18×	`distribute-lft-neg-out_binary64` `associate-*r/_binary64`
16×	`unpow3_binary64` `exp-prod_binary64` `cube-prod_binary64`
14×	`log-prod_binary64` `distribute-neg-frac_binary64` `associate-+r+_binary64`
13×	`cube-mult_binary64` `swap-sqr_binary64` `associate-/r*_binary64`
11×	`cube-div_binary64`
10×	`log-div_binary64`
9×	`exp-sum_binary64`
8×	`/-rgt-identity_binary64` `associate--l+_binary64` `associate--r+_binary64`
7×	`associate-+r-_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`prod-exp_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
3×	`log-pow_binary64` `div-exp_binary64` `exp-diff_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_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` `log-rec_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` `rec-exp_binary64` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `remove-double-neg_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` `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`

Counts

241 → 178

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	454	9847
1	1452	9334
2	4977	9334

prune318.0ms (3.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	177	9	186

Error

1.1b

Counts

186 → 9

Compiler

Compiled 7299 to 4549 computations (37.7% saved)

regimes2.6s (31.5%)

Accuracy

Total 2.2b remaining (68.4%)

Threshold costs 0b (0%)

Compiler

Compiled 28463 to 19968 computations (29.8% saved)

bsearch15.0ms (0.2%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	173
1	53	173
2	58	173
3	61	173
4	62	173
5	61	173

end2.0ms (0%)

Compiler: Compiled 110 to 41 computations (62.7% saved)

sample2.2s (25.9%)

Algorithm

1×

intervals

Results

653.0ms	1748×	body	1024	valid
267.0ms	4493×	body	128	valid
243.0ms	1042×	body	512	valid
113.0ms	166×	body	2048	valid
77.0ms	551×	body	256	valid
59.0ms	164×	body	1024	invalid
56.0ms	259×	body	512	invalid
19.0ms	140×	body	256	invalid
13.0ms	217×	body	128	invalid
9.0ms	204×	body	128	nan

Compiler

Compiled 469 to 286 computations (39% saved)

Details

analyze639.0ms (7.6%)

sample56.0ms (0.7%)

simplify74.0ms (0.9%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite102.0ms (1.2%)

series77.0ms (0.9%)

simplify96.0ms (1.1%)

prune27.0ms (0.3%)

localize9.0ms (0.1%)

rewrite133.0ms (1.6%)

series152.0ms (1.8%)

simplify119.0ms (1.4%)

prune88.0ms (1.1%)

localize12.0ms (0.1%)

rewrite188.0ms (2.2%)

series232.0ms (2.8%)

simplify95.0ms (1.1%)

prune103.0ms (1.2%)

localize20.0ms (0.2%)

rewrite624.0ms (7.5%)

series183.0ms (2.2%)

simplify187.0ms (2.2%)

prune318.0ms (3.8%)

regimes2.6s (31.5%)

bsearch15.0ms (0.2%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample2.2s (25.9%)

Profiling