Details

analyze771.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

655×	`div-sub_binary64` `sub-neg_binary64`
605×	`distribute-rgt-in_binary64`
539×	`associate-/l*_binary64`
495×	`neg-mul-1_binary64`
466×	`distribute-rgt-neg-in_binary64`
456×	`neg-sub0_binary64`
426×	`associate-/r*_binary64`
388×	`distribute-neg-frac_binary64`
289×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
277×	`remove-double-neg_binary64`
251×	`cancel-sign-sub-inv_binary64`
242×	`distribute-frac-neg_binary64` `associate-l_binary64`
237×	`associate-r_binary64`
227×	`distribute-lft-neg-in_binary64`
208×	`*-commutative_binary64`
151×	`unsub-neg_binary64`
146×	`cancel-sign-sub_binary64`
128×	`associate-*l/_binary64`
119×	`distribute-neg-in_binary64` `associate--r+_binary64`
115×	`+-commutative_binary64`
112×	`times-frac_binary64`
107×	`associate-*r/_binary64`
94×	`associate-/r/_binary64`
79×	`distribute-lft-in_binary64`
77×	`associate--l-_binary64`
72×	`associate-/l/_binary64`
70×	`sub0-neg_binary64`
65×	`associate-+l-_binary64`
60×	`div0_binary64`
58×	`distribute-rgt-out--_binary64`
51×	`*-lft-identity_binary64`
50×	`associate--r-_binary64`
45×	`/-rgt-identity_binary64`
37×	`distribute-lft-out_binary64`
29×	`*-rgt-identity_binary64`
28×	`associate-+r-_binary64`
27×	`+-rgt-identity_binary64` `associate-+r+_binary64`
23×	`distribute-neg-out_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`distribute-rgt-out_binary64`
15×	`--rgt-identity_binary64`
13×	`associate--l+_binary64`
10×	`associate-+l+_binary64`
7×	`distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64` `swap-sqr_binary64`
3×	`sqr-neg_binary64` `remove-double-div_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` `+-lft-identity_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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	97	104
2	268	104
3	634	96
4	998	96
5	1695	96
6	3585	96
7	4103	96
8	3917	96
9	3960	96
10	4011	96
11	4065	96
12	4496	96
13	4413	96
14	4472	96
15	4499	96
16	4514	96
17	4517	96
18	4517	96
19	4810	96
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
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	172×	body	128	valid
9.0ms	35×	body	2048	valid
5.0ms	24×	body	1024	valid
4.0ms	10×	body	256	valid
4.0ms	11×	body	4096	valid
2.0ms	31×	body	128	nan
1.0ms	4×	body	512	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify334.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1319×	`div-sub_binary64`
932×	`unsub-neg_binary64`
843×	`associate-/l*_binary64`
678×	`distribute-rgt-in_binary64`
643×	`distribute-lft-in_binary64`
485×	`associate-/l/_binary64`
481×	`associate-/r/_binary64`
474×	`sub-neg_binary64`
459×	`cancel-sign-sub-inv_binary64`
405×	`times-frac_binary64`
321×	`distribute-rgt-neg-in_binary64`
316×	`neg-mul-1_binary64`
286×	`neg-sub0_binary64`
273×	`distribute-lft-neg-in_binary64`
261×	`*-commutative_binary64`
254×	`distribute-neg-frac_binary64`
228×	`associate-/r*_binary64`
200×	`distribute-neg-in_binary64`
198×	`associate-*l/_binary64`
136×	`mul0-rgt_binary64`
134×	`mul0-lft_binary64`
122×	`+-lft-identity_binary64` `associate--r+_binary64`
115×	`distribute-rgt-neg-out_binary64`
102×	`+-commutative_binary64`
96×	`distribute-rgt-out_binary64`
88×	`+-rgt-identity_binary64`
80×	`remove-double-neg_binary64`
77×	`distribute-frac-neg_binary64`
75×	`distribute-lft-neg-out_binary64`
74×	`div0_binary64`
72×	`distribute-rgt-out--_binary64` `associate--r-_binary64`
58×	`associate-*r/_binary64`
54×	`cancel-sign-sub_binary64`
48×	`associate-l_binary64` `associate-r_binary64`
39×	`distribute-neg-out_binary64`
38×	`associate--l-_binary64`
36×	`/-rgt-identity_binary64`
23×	`*-lft-identity_binary64`
22×	`remove-double-div_binary64`
20×	`associate--l+_binary64`
19×	`sub0-neg_binary64`
18×	`mul-1-neg_binary64`
16×	`associate-+l-_binary64`
9×	`*-rgt-identity_binary64`
8×	`--rgt-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
6×	`distribute-lft-out_binary64`
4×	`associate-+l+_binary64`
2×	`swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	37	26
2	93	26
3	213	24
4	320	24
5	522	24
6	913	24
7	995	24
8	1154	24
9	1806	24
10	2663	24
11	2356	24
12	2303	24
13	2372	24
14	2398	24
15	2585	24
16	3881	24
17	3563	24
18	3397	24
19	3505	24
20	3509	24
21	3623	24
22	3691	24
23	3691	24
24	2163	24
25	2363	24
26	2081	24
27	2083	24
28	2083	24
29	2083	24
30	1834	24

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

32.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 a c))
0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite185.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

32.3b

Rules

25×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/l*_binary64`
3×	`sqrt-prod_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
2×	`sqrt-div_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(.f64 4 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 1916 to 997 computations (48% saved)

series211.0ms (2.7%)

Error

6.4b

Counts

4 → 64

Calls

4 calls:

59.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
51.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
51.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
17.0ms	(.f64 4 (.f64 a c))

Compiler

Compiled 2629 to 2074 computations (21.1% saved)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

853×	`times-frac_binary64`
472×	`associate-/l*_binary64`
358×	`associate-/r*_binary64`
274×	`cancel-sign-sub-inv_binary64`
200×	`distribute-rgt-neg-in_binary64`
188×	`distribute-lft-neg-in_binary64`
103×	`associate-r_binary64`
94×	`distribute-rgt-in_binary64`
88×	`associate-l_binary64`
80×	`distribute-lft-in_binary64`
75×	`*-commutative_binary64`
72×	`sub-neg_binary64`
68×	`associate-/r/_binary64`
63×	`associate-/l/_binary64`
62×	`div-sub_binary64`
61×	`distribute-neg-frac_binary64`
55×	`+-commutative_binary64`
47×	`unswap-sqr_binary64`
41×	`sqr-pow_binary64`
40×	`neg-sub0_binary64`
39×	`cube-prod_binary64` `neg-mul-1_binary64`
36×	`exp-prod_binary64`
35×	`log-prod_binary64`
34×	`distribute-rgt-out_binary64`
28×	`associate-*r/_binary64`
26×	`associate-*l/_binary64`
23×	`associate--l+_binary64`
18×	`associate-+l+_binary64`
17×	`distribute-lft-neg-out_binary64`
14×	`distribute-neg-in_binary64`
13×	`unpow3_binary64`
11×	`unsub-neg_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
10×	`swap-sqr_binary64`
9×	`exp-sum_binary64`
8×	`log-div_binary64` `cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
7×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
5×	`cube-div_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `exp-diff_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `associate-+r-_binary64`
2×	`rem-square-sqrt_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `div-exp_binary64` `rec-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-3cbrt-lft_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` `div0_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-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

142 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3012
1	498	2871
2	1447	2841
3	4749	2841
4	4965	2841

prune61.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	55	12	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	12	68

Error

7.8b

Counts

68 → 12

Compiler

Compiled 1257 to 757 computations (39.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.8b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
11.4b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite186.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

66×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
13×	`sqrt-prod_binary64` `associate-/l*_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
9×	`associate-/r*_binary64`
7×	`flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow1_binary64`
2×	`sqrt-div_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 → 136

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
11.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4703 to 2367 computations (49.7% saved)

series330.0ms (4.3%)

Error

7.1b

Counts

4 → 81

Calls

4 calls:

93.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
81.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
65.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
51.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4309 to 3217 computations (25.3% saved)

simplify178.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

345×	`cancel-sign-sub-inv_binary64`
275×	`distribute-rgt-neg-in_binary64`
264×	`associate-/l*_binary64`
262×	`times-frac_binary64`
165×	`associate-/r*_binary64`
164×	`associate-/l/_binary64`
162×	`sub-neg_binary64`
149×	`associate-r_binary64`
147×	`*-commutative_binary64`
132×	`distribute-neg-frac_binary64`
103×	`associate-l_binary64`
86×	`unswap-sqr_binary64`
85×	`neg-mul-1_binary64` `neg-sub0_binary64`
82×	`associate-*l/_binary64`
79×	`associate-*r/_binary64`
73×	`+-commutative_binary64`
71×	`div-sub_binary64`
59×	`distribute-neg-in_binary64`
58×	`associate-/r/_binary64`
50×	`sqr-pow_binary64`
40×	`distribute-rgt-in_binary64`
39×	`distribute-lft-neg-out_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`distribute-lft-in_binary64` `associate--r+_binary64`
32×	`log-div_binary64`
29×	`cube-prod_binary64` `associate--l+_binary64`
27×	`unsub-neg_binary64`
26×	`log-prod_binary64` `exp-prod_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`*-rgt-identity_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
23×	`cube-div_binary64`
21×	`*-lft-identity_binary64`
16×	`associate-+r+_binary64`
13×	`/-rgt-identity_binary64`
11×	`difference-of-squares_binary64`
10×	`unpow3_binary64`
9×	`cube-mult_binary64`
8×	`distribute-frac-neg_binary64` `distribute-rgt-out_binary64`
6×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
5×	`exp-sum_binary64` `cube-unmult_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`rem-square-sqrt_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `exp-diff_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `distribute-neg-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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

217 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	7499
1	903	6841
2	3361	6698
3	4974	6698

prune108.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	149	12	161

Error

6.9b

Counts

161 → 12

Compiler

Compiled 3168 to 1756 computations (44.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 a c))
0.1b	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
1.1b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite119.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

40×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
10×	`pow1_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
2×	`sqrt-div_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
6.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(.f64 4 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2559 to 1477 computations (42.3% saved)

series242.0ms (3.1%)

Error

6.3b

Counts

4 → 68

Calls

4 calls:

75.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
64.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
53.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
16.0ms	(.f64 4 (.f64 a c))

Compiler

Compiled 3423 to 2773 computations (19% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-/l*_binary64`
535×	`associate-/r*_binary64`
318×	`cancel-sign-sub-inv_binary64`
236×	`distribute-rgt-neg-in_binary64`
217×	`distribute-lft-neg-in_binary64`
149×	`associate-/r/_binary64`
126×	`associate-/l/_binary64`
119×	`sub-neg_binary64`
116×	`associate-r_binary64`
88×	`associate-l_binary64`
85×	`*-commutative_binary64`
84×	`distribute-neg-frac_binary64`
80×	`times-frac_binary64` `distribute-rgt-in_binary64`
73×	`unswap-sqr_binary64`
69×	`neg-sub0_binary64`
68×	`neg-mul-1_binary64`
64×	`+-commutative_binary64`
59×	`distribute-lft-in_binary64`
52×	`sqr-pow_binary64`
42×	`distribute-neg-in_binary64`
36×	`associate-*r/_binary64`
35×	`distribute-rgt-out_binary64`
34×	`associate-*l/_binary64`
25×	`associate--r+_binary64`
24×	`exp-prod_binary64`
22×	`distribute-lft-neg-out_binary64`
21×	`unsub-neg_binary64`
18×	`associate--l+_binary64`
17×	`cube-prod_binary64` `associate-+l+_binary64`
15×	`div-sub_binary64`
14×	`associate-+r+_binary64`
13×	`log-prod_binary64`
12×	`*-rgt-identity_binary64` `swap-sqr_binary64`
11×	`difference-of-squares_binary64`
10×	`distribute-lft-out_binary64`
9×	`unpow3_binary64`
8×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
6×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
5×	`log-div_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
3×	`exp-sum_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `exp-diff_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `pow-sqr_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` `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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

162 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	3944
1	593	3758
2	1798	3699
3	5161	3699

prune70.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Error

6.3b

Counts

100 → 10

Compiler

Compiled 1671 to 1050 computations (37.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 c (.f64 4 (.f64 a c))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
15.1b	(/.f64 c (.f64 4 (.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite133.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`pow1_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64`
4×	`associate-r_binary64`
3×	`sqrt-prod_binary64` `associate-/l*_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`sqrt-div_binary64` `div-inv_binary64` `distribute-lft-out_binary64` `frac-times_binary64` `associate-*r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

16.0ms	(.f64 (/.f64 c (.f64 4 (.f64 a c))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0ms	(/.f64 c (.f64 4 (.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3113 to 1732 computations (44.4% saved)

series228.0ms (3%)

Error

6.3b

Counts

4 → 64

Calls

4 calls:

70.0ms	(.f64 (/.f64 c (.f64 4 (.f64 a c))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
56.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
54.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
15.0ms	(/.f64 c (.f64 4 (.f64 a c)))

Compiler

Compiled 3666 to 2908 computations (20.7% saved)

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

420×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
271×	`cancel-sign-sub-inv_binary64`
203×	`distribute-rgt-neg-in_binary64`
191×	`distribute-lft-neg-in_binary64`
176×	`associate-r_binary64`
168×	`associate-l_binary64`
159×	`times-frac_binary64`
144×	`*-commutative_binary64`
132×	`associate-/r*_binary64`
101×	`associate-*l/_binary64`
97×	`associate-/l*_binary64`
90×	`sub-neg_binary64`
87×	`associate-*r/_binary64`
78×	`log-prod_binary64`
64×	`distribute-neg-frac_binary64`
60×	`+-commutative_binary64`
58×	`unswap-sqr_binary64`
49×	`distribute-rgt-out_binary64`
46×	`log-div_binary64` `neg-sub0_binary64`
45×	`neg-mul-1_binary64`
43×	`sqr-pow_binary64`
42×	`exp-prod_binary64`
27×	`cube-prod_binary64`
26×	`swap-sqr_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`distribute-lft-out_binary64` `associate-+l+_binary64`
16×	`cube-div_binary64`
13×	`associate--r+_binary64`
12×	`unsub-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-/r/_binary64` `associate-+r+_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`div-sub_binary64`
7×	`unpow3_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`exp-sum_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
5×	`associate-+r-_binary64`
4×	`log-pow_binary64` `pow-plus_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
3×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`rem-square-sqrt_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

150 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3648
1	672	3204
2	2453	2988
3	4956	2984
4	4992	2984

prune72.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	98	10	108

Error

6.3b

Counts

108 → 10

Compiler

Compiled 2094 to 1317 computations (37.1% saved)

regimes2.3s (30%)

Accuracy

Total 1.2b remaining (18.6%)

Threshold costs 0b (0%)

Compiler

Compiled 16638 to 12740 computations (23.4% saved)

bsearch53.0ms (0.7%)

Steps

Iters	Range		Point
1	1.338847400097916e+94	2.1318944217918206e+95	5.342562827435607e+94
8	1.5545812509163777e-306	1.1174048472880278e-303	8.619636124755816e-304
3	-9.3394659879407e+117	-4.171074982836381e+117	-7.074176182163289e+117

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
15×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`sub-neg_binary64`
11×	`distribute-rgt-neg-in_binary64`
9×	`distribute-lft-neg-in_binary64`
5×	`distribute-lft-neg-out_binary64`
4×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
2×	`*-lft-identity_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	99
1	80	97
2	117	95
3	143	95
4	159	95
5	164	95
6	165	95
7	161	95

end2.0ms (0%)

Compiler: Compiled 64 to 44 computations (31.3% saved)

sample1.6s (21.3%)

Algorithm

1×

intervals

Results

304.0ms	1141×	body	2048	valid
291.0ms	5160×	body	128	valid
168.0ms	749×	body	1024	valid
134.0ms	403×	body	4096	valid
57.0ms	369×	body	512	valid
36.0ms	695×	body	128	nan
22.0ms	408×	body	128	invalid
19.0ms	178×	body	256	valid

Compiler

Compiled 321 to 261 computations (18.7% saved)

Details

analyze771.0ms (10%)

sample46.0ms (0.6%)

simplify334.0ms (4.3%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite185.0ms (2.4%)

series211.0ms (2.7%)

simplify117.0ms (1.5%)

prune61.0ms (0.8%)

localize16.0ms (0.2%)

rewrite186.0ms (2.4%)

series330.0ms (4.3%)

simplify178.0ms (2.3%)

prune108.0ms (1.4%)

localize14.0ms (0.2%)

rewrite119.0ms (1.5%)

series242.0ms (3.1%)

simplify111.0ms (1.4%)

prune70.0ms (0.9%)

localize15.0ms (0.2%)

rewrite133.0ms (1.7%)

series228.0ms (3%)

simplify132.0ms (1.7%)

prune72.0ms (0.9%)

regimes2.3s (30%)

bsearch53.0ms (0.7%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample1.6s (21.3%)

Profiling