Details

analyze1.0s (8.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

820×	`div-sub_binary64`
676×	`associate-/l*_binary64`
474×	`associate-/l/_binary64`
457×	`sub-neg_binary64`
440×	`times-frac_binary64`
372×	`cancel-sign-sub-inv_binary64`
370×	`distribute-rgt-in_binary64`
306×	`distribute-rgt-neg-in_binary64`
257×	`distribute-lft-in_binary64`
222×	`unsub-neg_binary64`
216×	`distribute-lft-neg-in_binary64`
200×	`associate-/r/_binary64`
190×	`neg-mul-1_binary64`
170×	`distribute-rgt-neg-out_binary64`
157×	`associate-/r*_binary64`
153×	`distribute-lft-neg-out_binary64`
140×	`distribute-neg-frac_binary64`
139×	`neg-sub0_binary64`
120×	`associate-*l/_binary64`
98×	`*-commutative_binary64`
88×	`associate--r+_binary64`
84×	`distribute-frac-neg_binary64`
82×	`associate-r_binary64`
75×	`+-commutative_binary64`
58×	`remove-double-neg_binary64`
55×	`associate-l_binary64`
49×	`distribute-neg-in_binary64`
48×	`distribute-rgt-out_binary64`
42×	`/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64`
33×	`associate-+l-_binary64`
28×	`remove-double-div_binary64`
27×	`associate--l-_binary64`
25×	`*-lft-identity_binary64`
23×	`sub0-neg_binary64` `associate--r-_binary64`
20×	`distribute-rgt-out--_binary64` `associate-+r+_binary64`
18×	`*-rgt-identity_binary64`
17×	`distribute-neg-out_binary64` `associate-+r-_binary64`
13×	`associate--l+_binary64`
12×	`swap-sqr_binary64`
10×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
8×	`cancel-sign-sub_binary64`
6×	`sqr-neg_binary64` `--rgt-identity_binary64` `associate-+l+_binary64`
3×	`+-lft-identity_binary64`
2×	`mul-1-neg_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` `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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_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` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	69	80
2	141	80
3	315	80
4	465	80
5	734	80
6	1564	80
7	2199	80
8	2221	80
9	2344	80
10	2409	80
11	2449	80
12	1907	80
13	2257	80
14	1793	80
15	1793	80
16	1793	80
17	1869	80
18	1977	80
19	2073	80
20	2097	80
21	2097	80
22	2121	80
23	1992	80
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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
18.7%	76.5%	4.8%	7
28.1%	66.3%	5.6%	8
35.1%	55%	9.9%	9
36.3%	50.9%	12.8%	10
42.1%	42.4%	15.5%	11
47.5%	33.8%	18.7%	12
48.8%	30.7%	20.6%	13
51.8%	25.6%	22.5%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	172×	body	128	valid
6.0ms	29×	body	2048	valid
4.0ms	25×	body	1024	valid
3.0ms	13×	body	4096	valid
1.0ms	12×	body	512	valid
1.0ms	27×	body	128	nan
0.0ms	5×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
246×	`associate-/l*_binary64`
183×	`times-frac_binary64`
166×	`associate-/l/_binary64`
154×	`distribute-rgt-in_binary64`
137×	`distribute-lft-in_binary64`
136×	`sub-neg_binary64`
135×	`associate-/r*_binary64`
133×	`distribute-neg-frac_binary64`
117×	`associate-r_binary64`
114×	`cancel-sign-sub-inv_binary64`
113×	`associate-l_binary64`
110×	`associate-*l/_binary64`
95×	`associate-/r/_binary64`
86×	`unsub-neg_binary64`
61×	`distribute-rgt-neg-in_binary64`
60×	`distribute-lft-neg-in_binary64`
40×	`associate-*r/_binary64`
38×	`neg-mul-1_binary64`
36×	`*-commutative_binary64`
30×	`neg-sub0_binary64`
29×	`+-commutative_binary64`
28×	`distribute-frac-neg_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r+_binary64`
25×	`div0_binary64`
24×	`distribute-rgt-out_binary64`
23×	`*-lft-identity_binary64`
19×	`distribute-rgt-neg-out_binary64`
18×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
17×	`distribute-neg-in_binary64`
16×	`/-rgt-identity_binary64`
13×	`associate-+l-_binary64`
11×	`sub0-neg_binary64` `associate--l-_binary64`
9×	`distribute-neg-out_binary64`
8×	`associate--r-_binary64`
6×	`remove-double-neg_binary64` `cancel-sign-sub_binary64` `associate-+r+_binary64`
5×	`--rgt-identity_binary64` `associate-+r-_binary64`
4×	`remove-double-div_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
3×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `associate-+l+_binary64`
2×	`sqr-neg_binary64` `swap-sqr_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` `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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	26	20
2	52	20
3	106	20
4	158	20
5	241	20
6	327	20
7	372	20
8	430	20
9	652	20
10	1493	20
11	774	20
12	758	20
13	766	20
14	774	20
15	774	20
16	782	20
17	818	20
18	820	20
19	714	20

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.6b

Counts

1 → 1

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.2b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
21.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite176.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

32.3b

Rules

40×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
11×	`sqrt-prod_binary64`
10×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-rgt-neg-in_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`diff-log_binary64` `associate-/r*_binary64`
2×	`sqrt-div_binary64` `sub-neg_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `neg-sub0_binary64` `associate--l-_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 96

Calls

4 calls:

15.0ms	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
12.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
6.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2360 to 368 computations (84.4% saved)

series1.0s (8.5%)

Error

4.4b

Counts

4 → 75

Calls

4 calls:

318.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
228.0ms	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
221.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
192.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 3052 to 2127 computations (30.3% saved)

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

684×	`div-sub_binary64`
583×	`associate-/l*_binary64`
170×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
165×	`distribute-rgt-in_binary64`
148×	`distribute-lft-neg-in_binary64`
147×	`distribute-lft-in_binary64`
124×	`exp-prod_binary64`
116×	`sub-neg_binary64`
109×	`distribute-rgt-neg-out_binary64`
105×	`associate-/r/_binary64`
98×	`neg-sub0_binary64`
92×	`distribute-lft-neg-out_binary64`
89×	`neg-mul-1_binary64`
85×	`associate-/l/_binary64`
81×	`cube-prod_binary64`
80×	`unswap-sqr_binary64`
78×	`*-commutative_binary64`
77×	`unsub-neg_binary64`
73×	`distribute-neg-frac_binary64`
70×	`associate-r_binary64`
68×	`distribute-frac-neg_binary64`
63×	`times-frac_binary64`
56×	`associate-l_binary64`
50×	`sqr-pow_binary64`
49×	`exp-sum_binary64` `+-commutative_binary64`
37×	`distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate-/r*_binary64`
31×	`log-prod_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64`
30×	`associate-*r/_binary64`
27×	`associate-*l/_binary64`
24×	`cube-div_binary64`
18×	`unpow3_binary64` `cube-neg_binary64` `sqr-neg_binary64` `associate--r+_binary64` `associate-+l+_binary64`
17×	`difference-of-squares_binary64`
13×	`cube-unmult_binary64` `associate--l+_binary64` `associate-+r-_binary64`
12×	`log-div_binary64` `associate-+r+_binary64`
11×	`swap-sqr_binary64`
10×	`+-rgt-identity_binary64`
9×	`pow-plus_binary64` `exp-neg_binary64` `mul-1-neg_binary64`
8×	`cube-mult_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64`
5×	`remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
4×	`*-rgt-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64`
2×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `distribute-rgt1-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` `log-rec_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

171 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3769
1	572	3619
2	1650	3597
3	4502	3597
4	6076	3597

prune116.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	91	13	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	13	105

Error

7.3b

Counts

105 → 13

Compiler

Compiled 2089 to 576 computations (72.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
3.0b	(/.f64 (/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
10.0b	(/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
21.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite187.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

66×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
29×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
13×	`associate-/l*_binary64`
10×	`sqrt-prod_binary64` `associate-/r/_binary64`
9×	`associate-/r*_binary64`
7×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
5×	`pow1_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`sqrt-div_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 129

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
11.0ms	(/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 3886 to 521 computations (86.6% saved)

series1.4s (11.3%)

Error

4.3b

Counts

4 → 81

Calls

4 calls:

431.0ms	(/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
380.0ms	(/.f64 (/.f64 (.f64 a c) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
267.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
201.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 4344 to 2710 computations (37.6% saved)

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-/r/_binary64`
202×	`cancel-sign-sub-inv_binary64`
200×	`times-frac_binary64` `associate-/l*_binary64`
196×	`distribute-rgt-neg-in_binary64`
180×	`distribute-lft-neg-in_binary64`
179×	`distribute-rgt-in_binary64`
172×	`associate-/l/_binary64`
170×	`distribute-lft-in_binary64`
125×	`associate-/r*_binary64`
122×	`sub-neg_binary64`
110×	`*-commutative_binary64`
107×	`distribute-neg-frac_binary64`
96×	`associate-r_binary64`
85×	`associate-*l/_binary64`
80×	`unswap-sqr_binary64`
74×	`associate-r/_binary64` `associate-l*_binary64`
70×	`+-commutative_binary64`
62×	`neg-mul-1_binary64`
60×	`neg-sub0_binary64` `*-rgt-identity_binary64`
54×	`div-sub_binary64`
46×	`sqr-pow_binary64`
36×	`associate--l+_binary64`
31×	`associate-+l+_binary64`
30×	`distribute-lft-neg-out_binary64`
28×	`log-div_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`exp-prod_binary64`
21×	`unsub-neg_binary64` `*-lft-identity_binary64`
20×	`cube-div_binary64`
19×	`distribute-neg-in_binary64`
18×	`cube-prod_binary64`
17×	`distribute-rgt-out_binary64`
16×	`associate--r+_binary64`
15×	`log-prod_binary64`
14×	`difference-of-squares_binary64` `associate-+r+_binary64`
13×	`/-rgt-identity_binary64` `swap-sqr_binary64`
12×	`associate-+r-_binary64`
10×	`+-rgt-identity_binary64`
8×	`unpow3_binary64` `cube-mult_binary64`
6×	`distribute-frac-neg_binary64`
5×	`exp-sum_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l-_binary64`
3×	`rem-square-sqrt_binary64` `distribute-lft-out_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `exp-diff_binary64` `*-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `div0_binary64` `cancel-sign-sub_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

210 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	6168
1	785	5766
2	2813	5664
3	5076	5664

prune153.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Error

6.5b

Counts

143 → 10

Compiler

Compiled 3186 to 870 computations (72.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 c (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
1.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
21.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite121.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

38×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`associate-/l*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/.f64 c (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2170 to 502 computations (76.9% saved)

series1.1s (9.4%)

Error

4.3b

Counts

4 → 80

Calls

4 calls:

365.0ms	(/.f64 c (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
288.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
210.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
193.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 3779 to 2695 computations (28.7% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-/l*_binary64`
541×	`associate-/r*_binary64`
200×	`div-sub_binary64`
193×	`cancel-sign-sub-inv_binary64`
169×	`associate-/r/_binary64`
164×	`distribute-rgt-neg-in_binary64`
148×	`distribute-lft-neg-in_binary64`
127×	`associate-/l/_binary64`
98×	`sub-neg_binary64`
85×	`distribute-rgt-in_binary64`
81×	`times-frac_binary64`
78×	`distribute-neg-frac_binary64`
77×	`distribute-lft-in_binary64`
71×	`unswap-sqr_binary64`
70×	`associate-r_binary64`
67×	`exp-prod_binary64`
64×	`*-commutative_binary64`
57×	`+-commutative_binary64`
55×	`neg-mul-1_binary64`
53×	`neg-sub0_binary64`
51×	`sqr-pow_binary64`
50×	`associate-l_binary64`
37×	`associate-*l/_binary64`
36×	`associate-*r/_binary64`
33×	`cube-prod_binary64`
25×	`associate--l+_binary64`
24×	`exp-sum_binary64`
23×	`associate-+l+_binary64`
18×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
16×	`unsub-neg_binary64` `associate--r+_binary64`
14×	`difference-of-squares_binary64`
13×	`unpow3_binary64`
12×	`*-rgt-identity_binary64` `associate-+r-_binary64`
11×	`exp-diff_binary64` `associate-+r+_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`pow-plus_binary64` `cube-div_binary64` `rem-sqrt-square_binary64`
7×	`log-div_binary64` `cube-mult_binary64`
4×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64`
3×	`rem-square-sqrt_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

165 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3682
1	528	3527
2	1581	3524
3	4715	3524
4	5231	3524

prune96.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Error

4.5b

Counts

99 → 6

Compiler

Compiled 1848 to 726 computations (60.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
8.1b	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
21.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite186.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

55×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
26×	`sqrt-prod_binary64`
23×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
4×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
3×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-sub_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 113

Calls

4 calls:

47.0ms	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
7.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 3146 to 471 computations (85% saved)

series1.1s (8.8%)

Error

4.3b

Counts

4 → 74

Calls

4 calls:

336.0ms	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
271.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
203.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
197.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 3251 to 2125 computations (34.6% saved)

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

889×	`times-frac_binary64`
168×	`distribute-rgt-neg-in_binary64`
155×	`cancel-sign-sub-inv_binary64`
145×	`distribute-lft-neg-in_binary64`
136×	`distribute-neg-frac_binary64`
128×	`exp-prod_binary64`
122×	`associate-/l/_binary64`
120×	`distribute-rgt-in_binary64`
115×	`*-commutative_binary64`
112×	`distribute-lft-in_binary64`
109×	`sub-neg_binary64`
107×	`neg-sub0_binary64`
93×	`associate-*l/_binary64`
92×	`neg-mul-1_binary64`
85×	`distribute-lft-neg-out_binary64` `associate-/l*_binary64`
83×	`associate-*r/_binary64`
80×	`div-sub_binary64`
70×	`distribute-rgt-neg-out_binary64`
63×	`associate-r_binary64`
57×	`unswap-sqr_binary64`
55×	`associate-l_binary64` `+-commutative_binary64`
52×	`distribute-frac-neg_binary64`
50×	`sqr-pow_binary64`
44×	`associate-/r*_binary64`
37×	`exp-sum_binary64`
36×	`log-div_binary64`
35×	`log-prod_binary64`
21×	`exp-diff_binary64`
19×	`cube-div_binary64`
18×	`distribute-neg-in_binary64`
17×	`unpow3_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64`
14×	`exp-neg_binary64` `cube-prod_binary64` `associate--l+_binary64` `associate-+l+_binary64`
13×	`cube-unmult_binary64`
11×	`associate-/r/_binary64`
9×	`cube-mult_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
8×	`difference-of-squares_binary64` `associate-+r+_binary64`
7×	`pow-plus_binary64` `associate-+r-_binary64`
6×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
5×	`+-rgt-identity_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
4×	`log-pow_binary64` `log-rec_binary64` `rem-square-sqrt_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `*-lft-identity_binary64` `div0_binary64` `pow-sqr_binary64`
2×	`div-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `cancel-sign-sub_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` `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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

187 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	4220
1	660	4122
2	1862	3900
3	4669	3883
4	4989	3883
5	4949	3883

prune90.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Error

4.3b

Counts

120 → 6

Compiler

Compiled 2214 to 460 computations (79.2% saved)

regimes1.7s (13.9%)

Accuracy

Total 1.1b remaining (16.2%)

Threshold costs 0b (0%)

Compiler

Compiled 9584 to 5799 computations (39.5% saved)

bsearch98.0ms (0.8%)

Steps

Iters	Range	Point
6	3.2781909212740937e+105	2.8131542605141133e+106	2.2347560056365885e+106
9	4.743238934765727e-273	4.840570379777708e-267	1.2616642087724312e-272
6	-1.3957252336233623e+149	-1.6365674757291313e+148	-2.0987659544316741e+148

Iters

Range

Point

3.2781909212740937e+105

2.8131542605141133e+106

2.2347560056365885e+106

4.743238934765727e-273

4.840570379777708e-267

1.2616642087724312e-272

-1.3957252336233623e+149

-1.6365674757291313e+148

-2.0987659544316741e+148

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-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` `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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	82
1	54	82
2	70	82
3	81	82
4	88	82
5	90	82
6	89	82

end0.0ms (0%)

sample2.8s (23.2%)

Algorithm

1×

intervals

Results

243.0ms	5310×	body	128	valid
230.0ms	1073×	body	2048	valid
119.0ms	699×	body	1024	valid
104.0ms	368×	body	4096	valid
43.0ms	350×	body	512	valid
30.0ms	730×	body	128	nan
17.0ms	200×	body	256	valid
11.0ms	258×	body	128	invalid

Compiler

Compiled 2407 to 1459 computations (39.4% saved)

Details

analyze1.0s (8.3%)

sample40.0ms (0.3%)

simplify73.0ms (0.6%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite176.0ms (1.5%)

series1.0s (8.5%)

simplify140.0ms (1.2%)

prune116.0ms (1%)

localize11.0ms (0.1%)

rewrite187.0ms (1.6%)

series1.4s (11.3%)

simplify148.0ms (1.2%)

prune153.0ms (1.3%)

localize9.0ms (0.1%)

rewrite121.0ms (1%)

series1.1s (9.4%)

simplify131.0ms (1.1%)

prune96.0ms (0.8%)

localize10.0ms (0.1%)

rewrite186.0ms (1.5%)

series1.1s (8.8%)

simplify178.0ms (1.5%)

prune90.0ms (0.8%)

regimes1.7s (13.9%)

bsearch98.0ms (0.8%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.8s (23.2%)

Profiling