Details

analyze953.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Rules

591×	`neg-mul-1_binary64`
519×	`neg-sub0_binary64`
502×	`div-sub_binary64`
497×	`associate-/l*_binary64`
455×	`associate-/r*_binary64`
378×	`sub-neg_binary64`
326×	`distribute-lft-neg-out_binary64`
325×	`distribute-neg-frac_binary64`
240×	`distribute-rgt-neg-out_binary64`
226×	`distribute-frac-neg_binary64`
219×	`distribute-rgt-neg-in_binary64`
175×	`cancel-sign-sub-inv_binary64`
164×	`unsub-neg_binary64`
155×	`distribute-rgt-in_binary64`
151×	`associate-r_binary64`
138×	`cancel-sign-sub_binary64`
133×	`associate-l_binary64`
118×	`remove-double-neg_binary64`
101×	`*-commutative_binary64`
88×	`associate-/r/_binary64`
77×	`+-commutative_binary64`
76×	`distribute-neg-in_binary64` `associate-*l/_binary64`
73×	`distribute-lft-in_binary64`
57×	`associate--l-_binary64`
56×	`times-frac_binary64` `distribute-lft-neg-in_binary64`
53×	`associate-*r/_binary64`
52×	`associate-/l/_binary64`
51×	`/-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
46×	`sub0-neg_binary64` `associate-+r-_binary64`
45×	`associate-+l-_binary64`
36×	`*-lft-identity_binary64`
35×	`associate--r-_binary64`
32×	`associate-+r+_binary64`
30×	`div0_binary64`
24×	`associate-+l+_binary64`
18×	`mul0-rgt_binary64`
15×	`*-rgt-identity_binary64` `mul0-lft_binary64`
14×	`+-rgt-identity_binary64`
13×	`distribute-lft-out_binary64`
12×	`distribute-rgt-out--_binary64`
9×	`associate--l+_binary64`
6×	`mul-1-neg_binary64` `+-lft-identity_binary64` `swap-sqr_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_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` `*-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-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	127	224
2	250	224
3	535	216
4	880	216
5	1586	216
6	3577	216
7	4244	216
8	4751	216
9	4877	216
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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	26×	body	128	nan
1.0ms	10×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify599.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1534×	`div-sub_binary64`
1283×	`associate-/l*_binary64`
1224×	`distribute-rgt-in_binary64`
767×	`associate-/r*_binary64`
744×	`distribute-lft-in_binary64`
638×	`sub-neg_binary64`
529×	`unsub-neg_binary64`
510×	`cancel-sign-sub-inv_binary64`
488×	`times-frac_binary64`
376×	`associate-/r/_binary64`
308×	`associate-/l/_binary64`
284×	`associate-*l/_binary64`
249×	`*-commutative_binary64`
241×	`distribute-neg-frac_binary64`
237×	`distribute-rgt-neg-in_binary64`
235×	`neg-mul-1_binary64`
206×	`distribute-lft-neg-in_binary64`
202×	`distribute-rgt-neg-out_binary64`
183×	`distribute-lft-neg-out_binary64`
151×	`distribute-frac-neg_binary64`
138×	`neg-sub0_binary64` `associate--r+_binary64`
112×	`distribute-rgt-out_binary64`
109×	`*-lft-identity_binary64`
100×	`distribute-neg-in_binary64`
86×	`+-rgt-identity_binary64`
80×	`associate--l+_binary64`
78×	`mul0-rgt_binary64`
75×	`+-commutative_binary64`
74×	`associate-l_binary64`
73×	`div0_binary64` `associate-+r-_binary64`
72×	`/-rgt-identity_binary64` `mul0-lft_binary64`
70×	`distribute-rgt-out--_binary64`
68×	`associate--l-_binary64`
64×	`associate-r_binary64`
58×	`+-lft-identity_binary64`
57×	`remove-double-neg_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
55×	`associate-*r/_binary64`
51×	`*-rgt-identity_binary64`
50×	`associate--r-_binary64`
48×	`remove-double-div_binary64`
34×	`distribute-neg-out_binary64`
30×	`associate-+l-_binary64`
28×	`sub0-neg_binary64`
15×	`--rgt-identity_binary64`
7×	`distribute-lft-out_binary64`
6×	`mul-1-neg_binary64` `distribute-lft-out--_binary64`
5×	`cancel-sign-sub_binary64`
4×	`swap-sqr_binary64`
2×	`sqr-neg_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	43	56
2	91	56
3	198	54
4	309	54
5	519	54
6	918	54
7	1356	54
8	1505	54
9	2181	54
10	2806	54
11	2812	54
12	2814	54
13	2776	54
14	2800	54
15	3982	54
16	3118	54
17	3126	54
18	3134	54
19	3134	54
20	3142	54
21	3142	54
22	3944	54
23	2934	54
24	3120	54
25	3086	54
26	3090	54
27	3102	54
28	3106	54
29	3106	54
30	3268	54
31	3196	54
32	3324	54
33	3428	54
34	3532	54
35	3636	54
36	3036	54
37	3036	54
38	3056	54
39	3092	54
40	3094	54
41	3094	54
42	2785	54

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

19.1b

Counts

2 → 1

Compiler

Compiled 74 to 51 computations (31.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
2.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite203.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

19.0b

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64`
10×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `sum-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-neg-in_binary64` `neg-sub0_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `sub-neg_binary64` `associate--l-_binary64`

Counts

4 → 68

Calls

4 calls:

11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3387 to 1915 computations (43.5% saved)

series809.0ms (7.6%)

Error

7.1b

Counts

4 → 56

Calls

4 calls:

213.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
202.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
149.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 5614 to 3808 computations (32.2% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

484×	`unsub-neg_binary64`
429×	`times-frac_binary64`
258×	`*-commutative_binary64`
256×	`neg-sub0_binary64`
241×	`neg-mul-1_binary64`
199×	`associate-/l*_binary64`
198×	`cancel-sign-sub-inv_binary64`
196×	`associate-/r*_binary64`
175×	`div-sub_binary64`
151×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
129×	`distribute-rgt-in_binary64`
117×	`distribute-lft-in_binary64`
91×	`distribute-lft-neg-out_binary64`
86×	`associate-r_binary64`
82×	`distribute-rgt-neg-out_binary64`
80×	`sub-neg_binary64`
75×	`+-commutative_binary64`
72×	`associate-l_binary64`
65×	`cube-prod_binary64`
61×	`associate-+l-_binary64`
58×	`associate-+r-_binary64`
56×	`unswap-sqr_binary64`
54×	`associate-+l+_binary64`
53×	`associate-*l/_binary64`
48×	`associate-+r+_binary64`
47×	`distribute-neg-out_binary64`
44×	`distribute-rgt-out_binary64`
43×	`associate-*r/_binary64`
42×	`associate-/r/_binary64`
39×	`sqr-pow_binary64`
34×	`exp-prod_binary64` `exp-sum_binary64`
26×	`associate--l+_binary64`
24×	`associate--r-_binary64`
21×	`associate-/l/_binary64`
20×	`distribute-neg-frac_binary64`
19×	`exp-diff_binary64` `swap-sqr_binary64`
18×	`associate--l-_binary64`
16×	`unpow3_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
14×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
13×	`associate--r+_binary64`
12×	`+-rgt-identity_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64`
9×	`cube-neg_binary64`
8×	`pow-plus_binary64` `mul-1-neg_binary64`
7×	`log-prod_binary64`
5×	`rem-sqrt-square_binary64`
4×	`remove-double-neg_binary64`
3×	`unpow2_binary64` `sub0-neg_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_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-lft1-in_binary64` `count-2_binary64`

Counts

124 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2336
1	375	2188
2	1148	2156
3	4135	2156
4	5237	2156

prune202.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Error

7.0b

Counts

92 → 8

Compiler

Compiled 4139 to 2283 computations (44.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.1b	(-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite180.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

11×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`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`
2×	`diff-log_binary64`
1×	`neg-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `neg-sub0_binary64` `associate--l-_binary64`

Counts

4 → 60

Calls

4 calls:

7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3873 to 2071 computations (46.5% saved)

series762.0ms (7.2%)

Error

7.0b

Counts

4 → 53

Calls

4 calls:

212.0ms	(-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
156.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6702 to 4317 computations (35.6% saved)

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

500×	`div-sub_binary64`
392×	`times-frac_binary64`
320×	`unsub-neg_binary64`
270×	`unswap-sqr_binary64`
241×	`*-commutative_binary64`
238×	`neg-sub0_binary64`
225×	`neg-mul-1_binary64`
188×	`distribute-rgt-neg-in_binary64`
170×	`cancel-sign-sub-inv_binary64`
165×	`distribute-lft-neg-in_binary64`
160×	`sub-neg_binary64`
143×	`associate-/l*_binary64`
123×	`associate-/r*_binary64`
121×	`cube-prod_binary64`
92×	`associate-r_binary64`
80×	`associate-l_binary64`
76×	`distribute-lft-neg-out_binary64`
74×	`sqr-pow_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
67×	`distribute-rgt-neg-out_binary64`
66×	`difference-of-squares_binary64`
51×	`distribute-rgt-out_binary64`
50×	`+-commutative_binary64`
46×	`remove-double-neg_binary64`
43×	`associate-*l/_binary64`
38×	`associate-+l-_binary64`
36×	`associate-+r-_binary64`
33×	`unpow3_binary64` `distribute-neg-out_binary64` `associate-*r/_binary64`
26×	`exp-prod_binary64` `associate-/r/_binary64`
22×	`cube-mult_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
21×	`exp-sum_binary64` `sub0-neg_binary64`
20×	`distribute-neg-frac_binary64`
19×	`mul0-lft_binary64` `swap-sqr_binary64`
17×	`cube-neg_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64`
16×	`pow-plus_binary64`
15×	`cube-unmult_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
14×	`exp-diff_binary64`
13×	`sqr-neg_binary64`
11×	`distribute-frac-neg_binary64` `associate--r+_binary64`
10×	`pow-sqr_binary64` `distribute-lft-out_binary64`
9×	`rem-sqrt-square_binary64`
8×	`associate--l-_binary64`
7×	`log-prod_binary64` `distribute-rgt-out--_binary64`
6×	`mul-1-neg_binary64` `associate-/l/_binary64`
5×	`unpow2_binary64` `associate--l+_binary64`
4×	`div0_binary64` `+-inverses_binary64` `associate--r-_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64`
2×	`rec-exp_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft-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` `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` `exp-neg_binary64` `e-exp-1_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` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`

Counts

113 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1870
1	310	1796
2	1003	1781
3	3310	1781
4	4517	1781
5	5109	1781

prune154.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Error

7.0b

Counts

72 → 8

Compiler

Compiled 3420 to 1889 computations (44.8% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

13.7b	(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite184.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`
2×	`sum-log_binary64`
1×	`neg-log_binary64` `flip3-+_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

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

Compiler

Compiled 3764 to 2013 computations (46.5% saved)

series735.0ms (6.9%)

Error

7.0b

Counts

4 → 49

Calls

4 calls:

231.0ms	(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
177.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
116.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
114.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6245 to 4025 computations (35.5% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

522×	`times-frac_binary64`
369×	`unsub-neg_binary64`
265×	`*-commutative_binary64`
244×	`neg-sub0_binary64`
236×	`neg-mul-1_binary64`
222×	`associate-/l*_binary64`
205×	`distribute-rgt-neg-in_binary64`
199×	`associate-/r*_binary64`
197×	`cancel-sign-sub-inv_binary64`
179×	`distribute-lft-neg-in_binary64`
147×	`div-sub_binary64`
103×	`associate-r_binary64`
93×	`distribute-lft-neg-out_binary64`
89×	`associate-l_binary64`
88×	`distribute-rgt-in_binary64`
78×	`distribute-rgt-neg-out_binary64`
76×	`distribute-lft-in_binary64`
63×	`sub-neg_binary64`
61×	`+-commutative_binary64`
60×	`cube-prod_binary64`
57×	`unswap-sqr_binary64`
53×	`associate-*l/_binary64`
50×	`distribute-rgt-out_binary64`
44×	`sqr-pow_binary64` `associate-+l+_binary64`
43×	`associate-*r/_binary64`
42×	`associate-/r/_binary64`
40×	`associate-+r-_binary64`
37×	`distribute-neg-out_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
21×	`associate--l+_binary64`
20×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
19×	`associate--r-_binary64`
17×	`swap-sqr_binary64`
16×	`difference-of-squares_binary64`
15×	`unpow3_binary64`
14×	`distribute-rgt-out--_binary64`
13×	`associate--l-_binary64`
11×	`pow-plus_binary64` `exp-prod_binary64` `cube-mult_binary64` `distribute-lft-out_binary64`
10×	`distribute-frac-neg_binary64`
9×	`exp-diff_binary64`
8×	`cube-neg_binary64` `sqr-neg_binary64` `distribute-neg-in_binary64`
7×	`exp-sum_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `associate--r+_binary64`
6×	`rem-sqrt-square_binary64`
5×	`remove-double-neg_binary64`
4×	`pow-sqr_binary64`
3×	`unpow2_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `cancel-sign-sub_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-rgt1-in_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` `exp-neg_binary64` `e-exp-1_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` `sqr-abs_binary64` `/-rgt-identity_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-lft1-in_binary64`

Counts

107 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1796
1	327	1694
2	1093	1679
3	4039	1679
4	4954	1679

prune145.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	8	67

Error

7.0b

Counts

67 → 8

Compiler

Compiled 3203 to 1757 computations (45.1% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.5b	(-.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.8b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.8b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite176.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `cbrt-div_binary64` `flip--_binary64`
3×	`sqrt-prod_binary64`
2×	`pow1/3_binary64` `sqrt-div_binary64` `diff-log_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `neg-sub0_binary64` `associate--l-_binary64`

Counts

4 → 55

Calls

4 calls:

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

Compiler

Compiled 3605 to 1926 computations (46.6% saved)

series1.4s (13.5%)

Error

7.0b

Counts

4 → 54

Calls

4 calls:

502.0ms	(-.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
335.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
315.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 8229 to 5658 computations (31.2% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

409×	`*-commutative_binary64`
261×	`neg-mul-1_binary64`
249×	`times-frac_binary64`
245×	`distribute-rgt-neg-in_binary64`
241×	`exp-sum_binary64`
222×	`distribute-lft-neg-in_binary64`
220×	`cancel-sign-sub-inv_binary64`
150×	`distribute-rgt-in_binary64`
145×	`distribute-lft-in_binary64`
144×	`associate-r_binary64`
128×	`associate-l_binary64`
96×	`sqr-pow_binary64`
95×	`exp-prod_binary64`
94×	`distribute-lft-neg-out_binary64`
87×	`distribute-rgt-neg-out_binary64`
85×	`sub-neg_binary64`
83×	`neg-sub0_binary64`
81×	`log-prod_binary64`
77×	`exp-diff_binary64`
73×	`unswap-sqr_binary64`
69×	`+-commutative_binary64`
67×	`associate-/r*_binary64`
60×	`div-sub_binary64` `unsub-neg_binary64`
58×	`associate-+r-_binary64`
49×	`associate-+l-_binary64`
46×	`distribute-rgt-out_binary64`
45×	`cube-prod_binary64`
37×	`log-div_binary64`
33×	`distribute-neg-out_binary64`
32×	`associate-+r+_binary64`
25×	`log-pow_binary64` `associate--l+_binary64`
24×	`associate-+l+_binary64`
19×	`associate--r-_binary64`
18×	`unpow3_binary64` `exp-to-pow_binary64` `difference-of-squares_binary64`
17×	`rem-sqrt-square_binary64` `swap-sqr_binary64`
16×	`exp-neg_binary64`
15×	`mul-1-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
14×	`associate-/l*_binary64`
13×	`cube-mult_binary64`
12×	`pow-sqr_binary64`
11×	`unpow1/3_binary64` `rem-exp-log_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64`
7×	`log-rec_binary64` `pow-plus_binary64` `distribute-neg-frac_binary64` `associate-*r/_binary64`
6×	`remove-double-neg_binary64` `associate-/r/_binary64` `associate--l-_binary64`
5×	`cube-neg_binary64` `sqr-neg_binary64` `associate-*l/_binary64`
4×	`prod-exp_binary64` `associate-/l/_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sub0-neg_binary64`
2×	`rec-exp_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

109 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	2861
1	518	2637
2	1499	2630
3	3728	2594
4	4959	2594
5	4947	2594

prune226.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	88	8	96

Error

7.0b

Counts

96 → 8

Compiler

Compiled 4886 to 2658 computations (45.6% saved)

regimes734.0ms (6.9%)

Accuracy

Total 1.1b remaining (16.5%)

Threshold costs 0b (0%)

Compiler

Compiled 7722 to 5170 computations (33% saved)

bsearch99.0ms (0.9%)

Steps

Iters	Range		Point
9	1.6659650521429721e+59	4.902119507510784e+67	4.8279809046875293e+67
8	-4.940445497876565e+156	-7.912541190097647e+152	-7.043784281972009e+153

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
14×	`sub-neg_binary64` `+-commutative_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-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-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	63	150
2	86	150
3	106	150
4	119	150
5	123	150
6	123	150

end0.0ms (0%)

sample2.4s (22.4%)

Algorithm

1×

intervals

Results

697.0ms	8000×	body	128	valid
52.0ms	617×	body	128	nan
39.0ms	395×	body	128	invalid

Compiler

Compiled 2049 to 1370 computations (33.1% saved)

Details

analyze953.0ms (9%)

sample42.0ms (0.4%)

simplify599.0ms (5.6%)

prune9.0ms (0.1%)

localize25.0ms (0.2%)

rewrite203.0ms (1.9%)

series809.0ms (7.6%)

simplify107.0ms (1%)

prune202.0ms (1.9%)

localize31.0ms (0.3%)

rewrite180.0ms (1.7%)

series762.0ms (7.2%)

simplify119.0ms (1.1%)

prune154.0ms (1.4%)

localize33.0ms (0.3%)

rewrite184.0ms (1.7%)

series735.0ms (6.9%)

simplify95.0ms (0.9%)

prune145.0ms (1.4%)

localize32.0ms (0.3%)

rewrite176.0ms (1.7%)

series1.4s (13.5%)

simplify144.0ms (1.4%)

prune226.0ms (2.1%)

regimes734.0ms (6.9%)

bsearch99.0ms (0.9%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.4s (22.4%)

Profiling