Details

analyze753.0ms (10.9%)

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)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	43×	body	2048	valid
8.0ms	159×	body	128	valid
4.0ms	22×	body	1024	valid
4.0ms	13×	body	4096	valid
2.0ms	13×	body	512	valid
1.0ms	17×	body	128	nan
1.0ms	6×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify339.0ms (4.9%)

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

34.3b

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)
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite161.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

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)

series221.0ms (3.2%)

Error

4.9b

Counts

4 → 70

Calls

4 calls:

55.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
48.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
48.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
43.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2444 to 1992 computations (18.5% saved)

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-l_binary64`
476×	`associate-r_binary64`
352×	`unswap-sqr_binary64`
266×	`times-frac_binary64`
209×	`associate-/l*_binary64`
168×	`cancel-sign-sub-inv_binary64`
161×	`sub-neg_binary64`
154×	`*-commutative_binary64`
147×	`associate-/r*_binary64`
119×	`distribute-rgt-neg-in_binary64`
113×	`distribute-rgt-in_binary64`
108×	`neg-sub0_binary64`
107×	`distribute-lft-neg-in_binary64`
106×	`exp-prod_binary64`
100×	`distribute-lft-in_binary64`
99×	`neg-mul-1_binary64`
84×	`sqr-pow_binary64`
83×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
64×	`unsub-neg_binary64`
56×	`cube-prod_binary64` `associate-/r/_binary64`
51×	`associate-/l/_binary64`
50×	`+-commutative_binary64`
39×	`div-sub_binary64`
38×	`distribute-neg-frac_binary64`
34×	`associate-+l+_binary64`
32×	`associate-+l-_binary64`
30×	`distribute-rgt-out_binary64`
29×	`associate-+r-_binary64`
23×	`exp-sum_binary64` `associate-+r+_binary64`
22×	`difference-of-squares_binary64`
19×	`sub0-neg_binary64`
18×	`+-rgt-identity_binary64`
17×	`associate--l+_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`distribute-neg-in_binary64`
13×	`pow-plus_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64` `associate--r+_binary64`
11×	`unpow3_binary64` `pow-sqr_binary64`
10×	`/-rgt-identity_binary64`
9×	`swap-sqr_binary64` `distribute-lft-out_binary64`
8×	`cube-mult_binary64` `associate--l-_binary64`
7×	`log-prod_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-lft-out--_binary64`
5×	`cube-div_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
4×	`log-div_binary64` `unpow2_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64`
2×	`log-pow_binary64` `+-inverses_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_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` `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

142 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2947
1	374	2761
2	1040	2743
3	4066	2743
4	5132	2743

prune55.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Error

7.3b

Counts

79 → 11

Compiler

Compiled 1079 to 630 computations (41.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
8.6b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite195.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

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))))))
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)

series288.0ms (4.2%)

Error

6.8b

Counts

4 → 67

Calls

4 calls:

87.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
79.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
46.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 3377 to 2555 computations (24.3% saved)

simplify161.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/r/_binary64`
242×	`cancel-sign-sub-inv_binary64`
230×	`distribute-rgt-neg-in_binary64`
219×	`associate-/l*_binary64`
210×	`distribute-lft-neg-in_binary64`
196×	`times-frac_binary64`
169×	`distribute-rgt-in_binary64`
164×	`associate-/l/_binary64`
162×	`distribute-lft-in_binary64`
130×	`associate-/r*_binary64`
122×	`*-commutative_binary64`
110×	`associate-r_binary64`
107×	`sub-neg_binary64`
95×	`distribute-neg-frac_binary64`
92×	`associate-l_binary64`
70×	`associate-*l/_binary64`
68×	`div-sub_binary64`
67×	`neg-mul-1_binary64` `neg-sub0_binary64`
66×	`associate-*r/_binary64`
52×	`unswap-sqr_binary64`
48×	`+-commutative_binary64`
39×	`distribute-rgt-out_binary64`
36×	`distribute-lft-neg-out_binary64`
35×	`sqr-pow_binary64`
32×	`log-div_binary64`
28×	`cube-prod_binary64`
27×	`distribute-neg-in_binary64`
26×	`log-prod_binary64` `exp-prod_binary64`
24×	`*-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
23×	`cube-div_binary64`
21×	`*-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`distribute-lft-out_binary64`
13×	`/-rgt-identity_binary64`
11×	`unsub-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
10×	`associate--r+_binary64`
8×	`associate-+r+_binary64`
7×	`unpow3_binary64`
6×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
5×	`pow-plus_binary64` `exp-sum_binary64` `cube-unmult_binary64` `distribute-frac-neg_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
3×	`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` `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

203 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	6649
1	744	6043
2	2684	5850
3	5225	5850

prune95.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	135	12	147

Error

6.5b

Counts

147 → 12

Compiler

Compiled 2657 to 1446 computations (45.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.3b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite120.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

39×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
11×	`sqrt-prod_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64`
7×	`cancel-sign-sub-inv_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`
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 → 88

Calls

4 calls:

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

Compiler

Compiled 2534 to 1439 computations (43.2% saved)

series237.0ms (3.4%)

Error

4.8b

Counts

4 → 68

Calls

4 calls:

73.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
48.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
48.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
43.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3003 to 2512 computations (16.4% saved)

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-l_binary64`
569×	`associate-r_binary64`
371×	`times-frac_binary64`
298×	`associate-/l*_binary64`
211×	`associate-/r*_binary64`
190×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-neg-in_binary64`
128×	`distribute-lft-neg-in_binary64`
106×	`associate-*l/_binary64`
98×	`associate-*r/_binary64`
83×	`distribute-rgt-in_binary64`
79×	`sub-neg_binary64`
78×	`distribute-lft-in_binary64`
77×	`associate-/r/_binary64`
72×	`associate-/l/_binary64`
59×	`*-commutative_binary64`
53×	`neg-sub0_binary64` `unswap-sqr_binary64`
52×	`neg-mul-1_binary64`
48×	`distribute-neg-frac_binary64`
41×	`sqr-pow_binary64`
39×	`exp-prod_binary64`
37×	`+-commutative_binary64`
31×	`distribute-rgt-out_binary64`
21×	`distribute-lft-neg-out_binary64`
19×	`distribute-neg-in_binary64`
17×	`cube-prod_binary64`
14×	`div-sub_binary64`
12×	`*-rgt-identity_binary64`
11×	`difference-of-squares_binary64` `swap-sqr_binary64`
9×	`distribute-rgt-neg-out_binary64` `associate--r+_binary64`
8×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
7×	`unpow3_binary64` `cube-mult_binary64`
6×	`exp-sum_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
5×	`log-prod_binary64` `pow-plus_binary64` `exp-diff_binary64` `cube-unmult_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
3×	`log-div_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
2×	`div-exp_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `distribute-rgt1-in_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

156 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	3522
1	431	3337
2	1177	3310
3	5085	3310

prune60.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Error

4.8b

Counts

105 → 10

Compiler

Compiled 1371 to 858 computations (37.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (.f64 (/.f64 1 c) (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) 4)))
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.3b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite142.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

82×	`add-exp-log_binary64`
42×	`div-exp_binary64`
24×	`prod-exp_binary64`
22×	`add-cbrt-cube_binary64`
15×	`1-exp_binary64` `rec-exp_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64` `cbrt-undiv_binary64`
8×	`pow1_binary64` `add-log-exp_binary64`
7×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
4×	`cbrt-unprod_binary64`
3×	`flip3--_binary64` `flip--_binary64` `times-frac_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `pow-flip_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `inv-pow_binary64` `pow-prod-down_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-/r*_binary64`

Counts

4 → 102

Calls

4 calls:

14.0ms	(/.f64 1 (.f64 (/.f64 1 c) (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) 4)))
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))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3064 to 1920 computations (37.3% saved)

series248.0ms (3.6%)

Error

4.8b

Counts

4 → 68

Calls

4 calls:

77.0ms	(/.f64 1 (.f64 (/.f64 1 c) (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) 4)))
51.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
50.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
45.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3113 to 2622 computations (15.8% saved)

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-/l*_binary64`
447×	`associate-/r*_binary64`
279×	`associate-/r/_binary64`
199×	`associate-/l/_binary64`
194×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`
164×	`distribute-rgt-neg-in_binary64`
140×	`distribute-lft-neg-in_binary64`
130×	`exp-prod_binary64`
118×	`sub-neg_binary64`
105×	`associate-r_binary64`
95×	`*-commutative_binary64`
86×	`associate-l_binary64`
79×	`associate-l/_binary64` `associate-r/_binary64`
74×	`neg-mul-1_binary64`
72×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
57×	`unswap-sqr_binary64`
56×	`log-div_binary64` `distribute-neg-in_binary64`
46×	`times-frac_binary64` `+-commutative_binary64`
45×	`sqr-pow_binary64`
38×	`div-sub_binary64`
33×	`log-prod_binary64`
32×	`distribute-rgt-out_binary64`
31×	`cube-prod_binary64`
30×	`exp-sum_binary64`
28×	`distribute-lft-neg-out_binary64`
23×	`swap-sqr_binary64` `associate--r+_binary64`
18×	`*-rgt-identity_binary64`
17×	`unpow3_binary64`
16×	`associate-+r-_binary64`
15×	`cube-div_binary64`
14×	`exp-diff_binary64` `distribute-rgt-neg-out_binary64`
13×	`associate-+r+_binary64`
12×	`unsub-neg_binary64`
11×	`log-rec_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64`
10×	`distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
8×	`pow-plus_binary64` `cube-unmult_binary64`
7×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-lft-out--_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `rem-sqrt-square_binary64` `associate--l+_binary64`
4×	`unpow1_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64`
3×	`rem-square-sqrt_binary64` `sub0-neg_binary64` `remove-double-div_binary64` `count-2_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

170 → 124

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3718
1	525	3311
2	1672	3296
3	4810	3296
4	4939	3296

prune61.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	123	11	134

Error

4.8b

Counts

134 → 11

Compiler

Compiled 1328 to 830 computations (37.5% saved)

regimes1.6s (23.5%)

Accuracy

Total 1.2b remaining (18.7%)

Threshold costs 0b (0%)

Compiler

Compiled 14998 to 11052 computations (26.3% saved)

bsearch87.0ms (1.3%)

Steps

Iters	Range	Point
7	1.8581406790729565e+113	3.1624751327141363e+115	2.763946614645106e+115
8	-4.203920096005494e-225	-1.255860561126537e-228	-1.2708710508270122e-228
6	-8.908600771911985e+101	-1.4282834557052351e+97	-3.0241087845909653e+99

Iters

Range

Point

1.8581406790729565e+113

3.1624751327141363e+115

2.763946614645106e+115

-4.203920096005494e-225

-1.255860561126537e-228

-1.2708710508270122e-228

-8.908600771911985e+101

-1.4282834557052351e+97

-3.0241087845909653e+99

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-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`
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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_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	40	89
1	58	89
2	69	89
3	81	89
4	89	89
5	94	89
6	96	89
7	95	89

end2.0ms (0%)

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

sample1.6s (23%)

Algorithm

1×

intervals

Results

294.0ms	1152×	body	2048	valid
271.0ms	5192×	body	128	valid
155.0ms	733×	body	1024	valid
116.0ms	363×	body	4096	valid
55.0ms	380×	body	512	valid
36.0ms	677×	body	128	nan
18.0ms	359×	body	128	invalid
17.0ms	180×	body	256	valid

Compiler

Compiled 317 to 259 computations (18.3% saved)

Details

analyze753.0ms (10.9%)

sample41.0ms (0.6%)

simplify339.0ms (4.9%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite161.0ms (2.3%)

series221.0ms (3.2%)

simplify118.0ms (1.7%)

prune55.0ms (0.8%)

localize15.0ms (0.2%)

rewrite195.0ms (2.8%)

series288.0ms (4.2%)

simplify161.0ms (2.3%)

prune95.0ms (1.4%)

localize14.0ms (0.2%)

rewrite120.0ms (1.7%)

series237.0ms (3.4%)

simplify101.0ms (1.5%)

prune60.0ms (0.9%)

localize16.0ms (0.2%)

rewrite142.0ms (2.1%)

series248.0ms (3.6%)

simplify141.0ms (2%)

prune61.0ms (0.9%)

regimes1.6s (23.5%)

bsearch87.0ms (1.3%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample1.6s (23%)

Profiling