Details

analyze741.0ms (10.5%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	36×	body	2048	valid
8.0ms	166×	body	128	valid
5.0ms	25×	body	1024	valid
4.0ms	12×	body	4096	valid
2.0ms	13×	body	512	valid
1.0ms	27×	body	128	nan
1.0ms	17×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify328.0ms (4.7%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

prune4.0ms (0.1%)

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

34.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite160.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

34.4b

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/l*_binary64`
3×	`sqrt-prod_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 72

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)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 1903 to 971 computations (49% saved)

series193.0ms (2.7%)

Error

5.9b

Counts

4 → 63

Calls

4 calls:

47.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
41.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
40.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
37.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2136 to 1744 computations (18.4% saved)

simplify138.0ms (2%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-l_binary64`
465×	`associate-r_binary64`
356×	`unswap-sqr_binary64`
284×	`times-frac_binary64`
225×	`associate-/l*_binary64`
158×	`associate-/r*_binary64`
152×	`*-commutative_binary64`
117×	`sub-neg_binary64`
109×	`distribute-rgt-in_binary64`
106×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
100×	`distribute-lft-in_binary64`
91×	`distribute-rgt-neg-in_binary64`
89×	`associate-*l/_binary64`
84×	`sqr-pow_binary64`
81×	`distribute-lft-neg-in_binary64`
72×	`neg-sub0_binary64`
69×	`associate-*r/_binary64`
63×	`neg-mul-1_binary64`
58×	`associate-/r/_binary64`
56×	`cube-prod_binary64`
54×	`unsub-neg_binary64`
53×	`associate-/l/_binary64`
52×	`+-commutative_binary64`
44×	`unpow3_binary64`
36×	`div-sub_binary64`
33×	`associate-+l+_binary64`
30×	`distribute-rgt-out_binary64`
28×	`associate-+r+_binary64`
24×	`associate-+l-_binary64` `associate-+r-_binary64`
23×	`exp-sum_binary64`
19×	`difference-of-squares_binary64`
16×	`+-rgt-identity_binary64`
14×	`sub0-neg_binary64` `distribute-lft-neg-out_binary64`
13×	`pow-plus_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`pow-sqr_binary64` `distribute-neg-frac_binary64`
10×	`log-prod_binary64` `/-rgt-identity_binary64`
9×	`swap-sqr_binary64` `associate--l+_binary64`
8×	`log-div_binary64` `cube-mult_binary64`
7×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
6×	`distribute-neg-in_binary64` `associate--l-_binary64`
5×	`cube-div_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
4×	`unpow2_binary64` `associate--r+_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
2×	`+-inverses_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_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` `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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_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-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

135 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2732
1	380	2564
2	1018	2546
3	3896	2546
4	4970	2546
5	4918	2546

prune54.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	12	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	12	72

Error

9.4b

Counts

72 → 12

Compiler

Compiled 1072 to 647 computations (39.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite86.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 54

Calls

4 calls:

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

Compiler

Compiled 2172 to 1125 computations (48.2% saved)

series205.0ms (2.9%)

Error

9.4b

Counts

4 → 66

Calls

4 calls:

48.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
47.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
43.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3864 to 2776 computations (28.2% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-l_binary64`
402×	`associate-r_binary64`
370×	`distribute-rgt-neg-in_binary64`
354×	`distribute-lft-neg-in_binary64`
307×	`distribute-rgt-in_binary64`
289×	`cancel-sign-sub-inv_binary64`
287×	`neg-mul-1_binary64`
285×	`unswap-sqr_binary64`
168×	`times-frac_binary64`
145×	`exp-prod_binary64`
113×	`associate-/l*_binary64`
100×	`*-commutative_binary64`
82×	`distribute-lft-neg-out_binary64`
77×	`sqr-pow_binary64`
70×	`distribute-rgt-out_binary64`
68×	`distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
60×	`cube-prod_binary64`
50×	`neg-sub0_binary64`
46×	`sub-neg_binary64`
42×	`swap-sqr_binary64`
40×	`distribute-lft-out_binary64`
39×	`distribute-lft-in_binary64`
31×	`unpow3_binary64`
27×	`unsub-neg_binary64`
26×	`associate-*l/_binary64`
23×	`associate-/r/_binary64` `associate-*r/_binary64`
20×	`cube-mult_binary64` `+-commutative_binary64`
19×	`div-sub_binary64`
18×	`pow-plus_binary64` `cube-unmult_binary64`
17×	`distribute-neg-frac_binary64`
16×	`exp-sum_binary64` `sqr-neg_binary64`
14×	`difference-of-squares_binary64`
11×	`pow-sqr_binary64`
10×	`exp-diff_binary64`
7×	`unpow2_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
6×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
5×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-/l/_binary64` `associate-+r+_binary64`
4×	`unpow1_binary64` `associate-+l+_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `fabs-mul_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_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` `log-pow_binary64` `log-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

120 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1816
1	183	1702
2	560	1702
3	2536	1696
4	4706	1696
5	5042	1696

prune49.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	71	13	84

Error

9.4b

Counts

84 → 13

Compiler

Compiled 1473 to 862 computations (41.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite94.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(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 3024 to 1558 computations (48.5% saved)

series233.0ms (3.3%)

Error

9.4b

Counts

4 → 63

Calls

4 calls:

54.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
51.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
48.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5766 to 3737 computations (35.2% saved)

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-l_binary64`
402×	`associate-r_binary64`
370×	`distribute-rgt-neg-in_binary64`
354×	`distribute-lft-neg-in_binary64`
307×	`distribute-rgt-in_binary64`
289×	`cancel-sign-sub-inv_binary64`
287×	`neg-mul-1_binary64`
285×	`unswap-sqr_binary64`
168×	`times-frac_binary64`
145×	`exp-prod_binary64`
113×	`associate-/l*_binary64`
100×	`*-commutative_binary64`
82×	`distribute-lft-neg-out_binary64`
77×	`sqr-pow_binary64`
70×	`distribute-rgt-out_binary64`
68×	`distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
60×	`cube-prod_binary64`
50×	`neg-sub0_binary64`
46×	`sub-neg_binary64`
42×	`swap-sqr_binary64`
40×	`distribute-lft-out_binary64`
39×	`distribute-lft-in_binary64`
31×	`unpow3_binary64`
27×	`unsub-neg_binary64`
26×	`associate-*l/_binary64`
23×	`associate-/r/_binary64` `associate-*r/_binary64`
20×	`cube-mult_binary64` `+-commutative_binary64`
19×	`div-sub_binary64`
18×	`pow-plus_binary64` `cube-unmult_binary64`
17×	`distribute-neg-frac_binary64`
16×	`exp-sum_binary64` `sqr-neg_binary64`
14×	`difference-of-squares_binary64`
11×	`pow-sqr_binary64`
10×	`exp-diff_binary64`
7×	`unpow2_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
6×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
5×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-/l/_binary64` `associate-+r+_binary64`
4×	`unpow1_binary64` `associate-+l+_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `fabs-mul_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_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` `log-pow_binary64` `log-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

120 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1860
1	183	1761
2	560	1761
3	2536	1752
4	4706	1752
5	5042	1752

prune57.0ms (0.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	60	13	73

Error

9.4b

Counts

73 → 13

Compiler

Compiled 2098 to 1179 computations (43.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.7b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
11.1b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite195.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

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)
12.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
10.0ms	(-.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)

series256.0ms (3.6%)

Error

8.0b

Counts

4 → 60

Calls

4 calls:

71.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
69.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
42.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 3073 to 2315 computations (24.7% saved)

simplify161.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-/r/_binary64`
226×	`associate-/l*_binary64`
225×	`cancel-sign-sub-inv_binary64`
223×	`distribute-rgt-neg-in_binary64`
205×	`times-frac_binary64`
203×	`distribute-lft-neg-in_binary64`
180×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64` `associate-/l/_binary64`
136×	`associate-/r*_binary64`
126×	`*-commutative_binary64`
114×	`associate-r_binary64`
108×	`sub-neg_binary64`
94×	`associate-l_binary64`
93×	`distribute-neg-frac_binary64`
72×	`associate-*l/_binary64`
70×	`neg-mul-1_binary64` `neg-sub0_binary64`
69×	`div-sub_binary64`
68×	`associate-*r/_binary64`
55×	`unswap-sqr_binary64`
52×	`+-commutative_binary64`
39×	`distribute-rgt-out_binary64`
38×	`sqr-pow_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`distribute-neg-in_binary64`
32×	`log-div_binary64`
29×	`cube-prod_binary64`
26×	`log-prod_binary64` `exp-prod_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`*-rgt-identity_binary64` `swap-sqr_binary64`
23×	`cube-div_binary64`
21×	`*-lft-identity_binary64`
16×	`associate--l+_binary64`
15×	`unsub-neg_binary64`
13×	`/-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
12×	`associate--r+_binary64`
11×	`difference-of-squares_binary64`
10×	`associate-+r+_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`unpow3_binary64`
7×	`cube-mult_binary64`
6×	`rem-sqrt-square_binary64` `distribute-frac-neg_binary64`
5×	`pow-plus_binary64` `exp-sum_binary64` `cube-unmult_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
3×	`fabs-mul_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64`
2×	`log-pow_binary64` `exp-diff_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_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` `pow-sqr_binary64` `distribute-neg-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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`

Counts

196 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	6468
1	769	5872
2	2778	5695
3	5385	5695

prune91.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	7	3	10
Picked	1	0	1
Done	1	1	2
Total	133	9	142

Error

6.5b

Counts

142 → 9

Compiler

Compiled 2412 to 1276 computations (47.1% saved)

regimes2.0s (28.8%)

Accuracy

Total -0.3b remaining (-4.7%)

Threshold costs -0.3b (-4.7%)

Compiler

Compiled 16452 to 11790 computations (28.3% saved)

bsearch101.0ms (1.4%)

Steps

Iters	Range	Point
10	2.4445255964805862e+100	2.1060970165384645e+114	2.9567546486411007e+112
9	-4.429134660788557e-219	-2.721306677964706e-228	-2.799971211654598e-228
8	-8.317566786238212e+129	-1.2123041765967682e+127	-3.8699826572233e+127

Iters

Range

Point

2.4445255964805862e+100

2.1060970165384645e+114

2.9567546486411007e+112

-4.429134660788557e-219

-2.721306677964706e-228

-2.799971211654598e-228

-8.317566786238212e+129

-1.2123041765967682e+127

-3.8699826572233e+127

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	89
1	59	89
2	69	89
3	81	89
4	89	89
5	94	89
6	96	89
7	94	89

end2.0ms (0%)

Compiler: Compiled 60 to 42 computations (30% saved)

sample1.5s (21.7%)

Algorithm

1×

intervals

Results

297.0ms	1160×	body	2048	valid
270.0ms	5161×	body	128	valid
142.0ms	731×	body	1024	valid
121.0ms	396×	body	4096	valid
50.0ms	355×	body	512	valid
29.0ms	617×	body	128	nan
20.0ms	406×	body	128	invalid
19.0ms	197×	body	256	valid

Compiler

Compiled 343 to 252 computations (26.5% saved)

Details

analyze741.0ms (10.5%)

sample41.0ms (0.6%)

simplify328.0ms (4.7%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite160.0ms (2.3%)

series193.0ms (2.7%)

simplify138.0ms (2%)

prune54.0ms (0.8%)

localize16.0ms (0.2%)

rewrite86.0ms (1.2%)

series205.0ms (2.9%)

simplify110.0ms (1.6%)

prune49.0ms (0.7%)

localize18.0ms (0.3%)

rewrite94.0ms (1.3%)

series233.0ms (3.3%)

simplify116.0ms (1.7%)

prune57.0ms (0.8%)

localize12.0ms (0.2%)

rewrite195.0ms (2.8%)

series256.0ms (3.6%)

simplify161.0ms (2.3%)

prune91.0ms (1.3%)

regimes2.0s (28.8%)

bsearch101.0ms (1.4%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample1.5s (21.7%)

Profiling