Details

analyze835.0ms (11.2%)

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)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
2.0ms	21×	body	128	nan
1.0ms	14×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify604.0ms (8.1%)

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

prune8.0ms (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

16.4b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
1.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite193.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

16.3b

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 59

Calls

4 calls:

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

Compiler

Compiled 2594 to 1526 computations (41.2% saved)

series216.0ms (2.9%)

Error

3.6b

Counts

4 → 51

Calls

4 calls:

48.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
44.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 4098 to 2938 computations (28.3% saved)

simplify153.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

707×	`associate-l_binary64`
592×	`associate-r_binary64`
322×	`unswap-sqr_binary64`
190×	`times-frac_binary64`
158×	`cube-prod_binary64`
147×	`sub-neg_binary64`
137×	`cancel-sign-sub-inv_binary64`
131×	`*-commutative_binary64`
118×	`distribute-rgt-neg-in_binary64`
100×	`associate-/l*_binary64`
97×	`distribute-lft-neg-in_binary64`
90×	`distribute-rgt-in_binary64`
83×	`associate-/r*_binary64`
81×	`neg-sub0_binary64`
80×	`unpow3_binary64`
79×	`distribute-lft-in_binary64`
74×	`neg-mul-1_binary64`
69×	`unsub-neg_binary64`
66×	`+-commutative_binary64`
60×	`sqr-pow_binary64`
53×	`swap-sqr_binary64` `associate-+l+_binary64`
41×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
39×	`associate-+r+_binary64`
36×	`associate-+l-_binary64`
35×	`difference-of-squares_binary64`
32×	`cube-mult_binary64` `associate-+r-_binary64`
25×	`exp-prod_binary64` `associate-*l/_binary64`
23×	`associate-/r/_binary64`
22×	`distribute-neg-frac_binary64`
21×	`exp-sum_binary64` `associate-*r/_binary64`
20×	`cube-unmult_binary64` `cancel-sign-sub_binary64` `distribute-lft-neg-out_binary64`
19×	`+-rgt-identity_binary64`
18×	`pow-plus_binary64` `associate--l+_binary64`
17×	`sub0-neg_binary64`
15×	`distribute-lft-out_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64`
10×	`exp-diff_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64`
7×	`div-sub_binary64` `distribute-rgt-neg-out_binary64` `associate--l-_binary64`
5×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-/l/_binary64` `associate--r+_binary64`
4×	`distribute-rgt-out--_binary64`
3×	`log-prod_binary64` `unpow2_binary64` `unpow1_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`unpow1/2_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `+-inverses_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_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` `exp-neg_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

110 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1886
1	302	1785
2	852	1755
3	3730	1755
4	4814	1755
5	4965	1755
6	4913	1755

prune106.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	8	77

Error

3.6b

Counts

77 → 8

Compiler

Compiled 2612 to 1529 computations (41.5% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

10.9b	(-.f64 (.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)))))) b)
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite196.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

12×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`pow1_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` `cancel-sign-sub-inv_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64`

Counts

4 → 60

Calls

4 calls:

19.0ms	(-.f64 (.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)))))) b)
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 c (*.f64 4 a))))

Compiler

Compiled 3566 to 1967 computations (44.8% saved)

series220.0ms (3%)

Error

3.6b

Counts

4 → 48

Calls

4 calls:

46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
45.0ms	(-.f64 (.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)))))) b)
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4992 to 3386 computations (32.2% saved)

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

334×	`associate-/l/_binary64`
329×	`distribute-rgt-neg-in_binary64`
312×	`distribute-lft-neg-in_binary64`
297×	`cancel-sign-sub-inv_binary64`
273×	`distribute-rgt-in_binary64`
234×	`times-frac_binary64`
223×	`*-commutative_binary64`
220×	`distribute-lft-in_binary64`
180×	`unswap-sqr_binary64`
117×	`associate-/l*_binary64`
116×	`sub-neg_binary64`
97×	`div-sub_binary64`
87×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
86×	`associate-r_binary64`
84×	`neg-mul-1_binary64`
82×	`neg-sub0_binary64`
70×	`associate-l_binary64`
68×	`sqr-pow_binary64`
56×	`cube-prod_binary64`
55×	`+-commutative_binary64`
47×	`unsub-neg_binary64`
43×	`difference-of-squares_binary64`
38×	`exp-prod_binary64`
36×	`exp-sum_binary64`
30×	`distribute-lft-neg-out_binary64`
29×	`swap-sqr_binary64`
28×	`associate-+l+_binary64`
25×	`associate-*l/_binary64`
24×	`associate-+r+_binary64`
23×	`unpow3_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
22×	`distribute-neg-frac_binary64` `associate-+l-_binary64`
21×	`associate-*r/_binary64`
18×	`distribute-lft-out_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`+-rgt-identity_binary64`
14×	`pow-plus_binary64` `cube-mult_binary64` `sub0-neg_binary64`
12×	`cube-unmult_binary64` `distribute-neg-in_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
9×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
8×	`exp-diff_binary64`
6×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
4×	`unpow2_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64`
3×	`unpow1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
2×	`log-prod_binary64` `unpow1/2_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_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`

Counts

108 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1734
1	279	1667
2	839	1664
3	2398	1640
4	4752	1640
5	4961	1640

prune107.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Error

3.6b

Counts

67 → 8

Compiler

Compiled 2565 to 1486 computations (42.1% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

10.1b	(+.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)))))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite154.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

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`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

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 c (*.f64 4 a))))
3.0ms	(+.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)))))))

Compiler

Compiled 3349 to 1847 computations (44.8% saved)

series217.0ms (2.9%)

Error

3.6b

Counts

4 → 51

Calls

4 calls:

46.0ms	(+.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)))))))
43.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
43.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
39.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 5061 to 3452 computations (31.8% saved)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
357×	`distribute-rgt-neg-in_binary64`
331×	`distribute-lft-neg-in_binary64`
317×	`cancel-sign-sub-inv_binary64`
224×	`*-commutative_binary64`
192×	`unswap-sqr_binary64`
167×	`times-frac_binary64`
109×	`associate-/l*_binary64`
104×	`sub-neg_binary64`
89×	`distribute-rgt-out_binary64` `associate-r_binary64`
85×	`neg-sub0_binary64`
84×	`neg-mul-1_binary64`
73×	`associate-l_binary64`
67×	`associate-/r*_binary64`
58×	`sqr-pow_binary64`
43×	`distribute-lft-neg-out_binary64`
42×	`+-commutative_binary64`
41×	`cube-prod_binary64`
38×	`distribute-rgt-neg-out_binary64`
37×	`difference-of-squares_binary64`
35×	`distribute-neg-in_binary64`
30×	`unsub-neg_binary64`
28×	`associate-+l+_binary64`
26×	`associate-*l/_binary64`
23×	`associate-/r/_binary64` `associate-*r/_binary64` `associate-+r+_binary64`
20×	`swap-sqr_binary64`
18×	`distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
17×	`distribute-neg-frac_binary64`
14×	`unpow3_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`+-rgt-identity_binary64`
11×	`cube-mult_binary64`
10×	`remove-double-neg_binary64` `sub0-neg_binary64`
9×	`pow-plus_binary64` `associate--l+_binary64`
8×	`pow-sqr_binary64`
7×	`rem-sqrt-square_binary64`
6×	`cube-unmult_binary64`
5×	`div-sub_binary64` `associate-/l/_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-prod_binary64` `rem-square-sqrt_binary64` `associate--r+_binary64`
2×	`+-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-prod_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `div-exp_binary64` `rec-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-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` `--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-lft1-in_binary64`

Counts

107 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1698
1	272	1634
2	825	1619
3	2260	1610
4	5613	1610

prune100.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Error

3.6b

Counts

65 → 9

Compiler

Compiled 2495 to 1453 computations (41.8% saved)

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.5b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite231.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

10×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `cbrt-prod_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `cbrt-div_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`pow1/3_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 56

Calls

4 calls:

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

Compiler

Compiled 3994 to 2192 computations (45.1% saved)

series328.0ms (4.4%)

Error

3.6b

Counts

4 → 51

Calls

4 calls:

89.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
75.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 7576 to 5045 computations (33.4% saved)

simplify114.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

391×	`distribute-rgt-neg-in_binary64`
380×	`distribute-lft-neg-in_binary64`
334×	`exp-sum_binary64`
299×	`distribute-rgt-in_binary64`
270×	`*-commutative_binary64`
248×	`cancel-sign-sub-inv_binary64`
226×	`unswap-sqr_binary64`
167×	`times-frac_binary64`
144×	`sub-neg_binary64`
129×	`exp-diff_binary64`
109×	`associate-/l*_binary64`
106×	`neg-sub0_binary64`
105×	`neg-mul-1_binary64` `associate-/r*_binary64`
103×	`unsub-neg_binary64`
96×	`associate-r_binary64`
86×	`exp-prod_binary64`
85×	`sqr-pow_binary64`
77×	`associate-l_binary64`
76×	`log-prod_binary64`
71×	`distribute-rgt-out_binary64`
53×	`div-sub_binary64`
50×	`distribute-lft-in_binary64`
43×	`+-commutative_binary64`
32×	`prod-exp_binary64`
31×	`associate-+r-_binary64`
30×	`log-div_binary64`
29×	`exp-to-pow_binary64`
26×	`associate-*l/_binary64`
23×	`difference-of-squares_binary64` `associate-/r/_binary64` `associate-*r/_binary64`
22×	`associate--l+_binary64`
21×	`cube-prod_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
19×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
18×	`unpow3_binary64` `exp-neg_binary64`
17×	`distribute-neg-frac_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
16×	`unpow1/3_binary64` `sub0-neg_binary64` `associate--r-_binary64`
14×	`log-pow_binary64` `associate-+l+_binary64`
12×	`pow-sqr_binary64`
11×	`rem-exp-log_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
10×	`cube-mult_binary64`
9×	`pow-plus_binary64`
8×	`associate-/l/_binary64`
7×	`rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`log-rec_binary64` `cube-unmult_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
4×	`--rgt-identity_binary64` `distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-frac-neg_binary64`
2×	`rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `mul-1-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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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-lft1-in_binary64` `count-2_binary64`

Counts

107 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1857
1	327	1821
2	967	1821
3	2693	1818
4	4634	1818
5	4971	1818

prune170.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	79	9	88

Error

3.6b

Counts

88 → 9

Compiler

Compiled 3725 to 2085 computations (44% saved)

regimes1.6s (21.3%)

Accuracy

Total 1.1b remaining (16.4%)

Threshold costs 0b (0%)

Compiler

Compiled 23027 to 15400 computations (33.1% saved)

bsearch30.0ms (0.4%)

Steps

Iters	Range		Point
5	1.1221365728914758e+151	1.8729062546330618e+155	9.341172344491133e+151
2	-2.0847941593486977e+154	-4.666712459773738e+150	-3.8179933739837244e+151

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	148
1	57	148
2	70	148
3	88	148
4	98	148
5	104	148
6	106	148
7	104	148

end2.0ms (0%)

Compiler: Compiled 99 to 65 computations (34.3% saved)

sample1.5s (20.1%)

Algorithm

1×

intervals

Results

717.0ms	8000×	body	128	valid
55.0ms	677×	body	128	nan
31.0ms	377×	body	128	invalid

Compiler

Compiled 566 to 389 computations (31.3% saved)

Details

analyze835.0ms (11.2%)

sample40.0ms (0.5%)

simplify604.0ms (8.1%)

prune8.0ms (0.1%)

localize30.0ms (0.4%)

rewrite193.0ms (2.6%)

series216.0ms (2.9%)

simplify153.0ms (2.1%)

prune106.0ms (1.4%)

localize31.0ms (0.4%)

rewrite196.0ms (2.6%)

series220.0ms (3%)

simplify106.0ms (1.4%)

prune107.0ms (1.4%)

localize32.0ms (0.4%)

rewrite154.0ms (2.1%)

series217.0ms (2.9%)

simplify79.0ms (1.1%)

prune100.0ms (1.3%)

localize42.0ms (0.6%)

rewrite231.0ms (3.1%)

series328.0ms (4.4%)

simplify114.0ms (1.5%)

prune170.0ms (2.3%)

regimes1.6s (21.3%)

bsearch30.0ms (0.4%)

simplify9.0ms (0.1%)

end2.0ms (0%)

sample1.5s (20.1%)

Profiling