Details

analyze160.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

1109×	`div-sub_binary64`
807×	`times-frac_binary64`
671×	`sub-neg_binary64`
600×	`associate-/r/_binary64`
353×	`distribute-rgt-neg-in_binary64`
311×	`neg-sub0_binary64`
309×	`neg-mul-1_binary64`
299×	`unsub-neg_binary64`
286×	`associate-/l*_binary64`
254×	`distribute-neg-frac_binary64`
248×	`cancel-sign-sub-inv_binary64`
241×	`+-commutative_binary64`
238×	`distribute-frac-neg_binary64`
234×	`associate-+l-_binary64`
223×	`distribute-rgt-in_binary64`
197×	`associate--l-_binary64`
190×	`distribute-lft-neg-in_binary64`
161×	`distribute-lft-in_binary64`
157×	`associate-/r*_binary64`
138×	`associate--r-_binary64`
131×	`distribute-rgt-out--_binary64`
123×	`*-commutative_binary64`
109×	`distribute-rgt-neg-out_binary64`
102×	`associate-+r-_binary64`
101×	`associate-l_binary64`
98×	`associate--r+_binary64`
87×	`distribute-neg-in_binary64`
69×	`distribute-lft-neg-out_binary64`
68×	`associate-r_binary64`
58×	`associate--l+_binary64`
57×	`remove-double-neg_binary64`
55×	`distribute-rgt-out_binary64`
50×	`sub0-neg_binary64` `--rgt-identity_binary64`
45×	`distribute-neg-out_binary64`
41×	`/-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64`
19×	`*-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
18×	`associate-+r+_binary64`
17×	`cancel-sign-sub_binary64`
15×	`associate-/l/_binary64`
14×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64`
13×	`+-rgt-identity_binary64`
12×	`+-lft-identity_binary64`
11×	`associate-*l/_binary64`
9×	`div0_binary64`
7×	`remove-double-div_binary64` `associate-*r/_binary64`
5×	`distribute-lft-out_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `distribute-lft1-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-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` `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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	39	25
3	61	25
4	89	25
5	154	25
6	242	25
7	407	25
8	771	25
9	938	25
10	2455	25
11	4007	25
12	4231	25
13	4371	25
14	4520	25
15	4807	25
16	5080	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample23.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify147.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1109×	`div-sub_binary64`
807×	`times-frac_binary64`
671×	`sub-neg_binary64`
600×	`associate-/r/_binary64`
353×	`distribute-rgt-neg-in_binary64`
311×	`neg-sub0_binary64`
309×	`neg-mul-1_binary64`
299×	`unsub-neg_binary64`
286×	`associate-/l*_binary64`
254×	`distribute-neg-frac_binary64`
248×	`cancel-sign-sub-inv_binary64`
241×	`+-commutative_binary64`
238×	`distribute-frac-neg_binary64`
234×	`associate-+l-_binary64`
223×	`distribute-rgt-in_binary64`
197×	`associate--l-_binary64`
190×	`distribute-lft-neg-in_binary64`
161×	`distribute-lft-in_binary64`
157×	`associate-/r*_binary64`
138×	`associate--r-_binary64`
131×	`distribute-rgt-out--_binary64`
123×	`*-commutative_binary64`
109×	`distribute-rgt-neg-out_binary64`
102×	`associate-+r-_binary64`
101×	`associate-l_binary64`
98×	`associate--r+_binary64`
87×	`distribute-neg-in_binary64`
69×	`distribute-lft-neg-out_binary64`
68×	`associate-r_binary64`
58×	`associate--l+_binary64`
57×	`remove-double-neg_binary64`
55×	`distribute-rgt-out_binary64`
50×	`sub0-neg_binary64` `--rgt-identity_binary64`
45×	`distribute-neg-out_binary64`
41×	`/-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64`
19×	`*-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
18×	`associate-+r+_binary64`
17×	`cancel-sign-sub_binary64`
15×	`associate-/l/_binary64`
14×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64`
13×	`+-rgt-identity_binary64`
12×	`+-lft-identity_binary64`
11×	`associate-*l/_binary64`
9×	`div0_binary64`
7×	`remove-double-div_binary64` `associate-*r/_binary64`
5×	`distribute-lft-out_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `distribute-lft1-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-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` `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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	39	25
3	61	25
4	89	25
5	154	25
6	242	25
7	407	25
8	771	25
9	938	25
10	2455	25
11	4007	25
12	4231	25
13	4371	25
14	4520	25
15	4807	25
16	5080	25

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
14.8b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite190.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
15×	`cancel-sign-sub-inv_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

10.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
6.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2746 to 2185 computations (20.4% saved)

series85.0ms (3.9%)

Error

Counts

4 → 34

Calls

4 calls:

17.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
16.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
14.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
11.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 862 to 720 computations (16.5% saved)

simplify147.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`
246×	`div-sub_binary64`
242×	`associate-/l*_binary64`
223×	`associate-*l/_binary64`
185×	`cancel-sign-sub-inv_binary64`
138×	`times-frac_binary64`
131×	`distribute-rgt-neg-in_binary64`
122×	`sub-neg_binary64`
113×	`associate-l_binary64`
110×	`*-commutative_binary64`
100×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
97×	`exp-prod_binary64` `associate-/r*_binary64`
88×	`neg-sub0_binary64`
86×	`distribute-neg-frac_binary64`
83×	`neg-mul-1_binary64`
79×	`associate-/l/_binary64`
70×	`distribute-lft-neg-out_binary64`
63×	`exp-sum_binary64`
57×	`+-commutative_binary64`
54×	`associate-*r/_binary64`
51×	`distribute-rgt-neg-out_binary64`
44×	`associate-/r/_binary64`
38×	`cube-prod_binary64` `distribute-neg-in_binary64`
35×	`log-prod_binary64`
33×	`sqr-pow_binary64`
31×	`unswap-sqr_binary64`
29×	`distribute-rgt-out_binary64`
21×	`-rgt-identity_binary64` `-lft-identity_binary64`
18×	`associate--l+_binary64`
17×	`exp-diff_binary64` `cube-div_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64`
16×	`log-div_binary64` `associate--r+_binary64`
15×	`distribute-frac-neg_binary64` `distribute-lft-out_binary64`
12×	`swap-sqr_binary64`
10×	`unpow3_binary64`
9×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
8×	`associate-+l+_binary64`
6×	`associate-+r-_binary64`
5×	`/-rgt-identity_binary64` `div0_binary64`
4×	`exp-neg_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `associate-+l-_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `pow-sqr_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `associate--r-_binary64` `associate--l-_binary64`

Counts

125 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2841
1	623	2724
2	1851	2706
3	4608	2706
4	5240	2706

prune85.0ms (4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Compiler

Compiled 1837 to 1439 computations (21.7% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
0.2b	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
0.3b	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)
6.4b	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))

rewrite112.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
13×	`add-exp-log_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64`
8×	`pow1_binary64`
6×	`unswap-sqr_binary64`
5×	`prod-exp_binary64`
4×	`unpow-prod-down_binary64` `cube-prod_binary64`
3×	`sum-log_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `sqr-pow_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 86

Calls

4 calls:

9.0ms	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))
6.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
6.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
4.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

Compiler

Compiled 1727 to 1380 computations (20.1% saved)

series59.0ms (2.8%)

Error

Counts

4 → 24

Calls

4 calls:

17.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
15.0ms	(+.f64 (.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)) (+.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) -162377988252285/70368744177664))
10.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
7.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

Compiler

Compiled 570 to 498 computations (12.6% saved)

simplify129.0ms (6%)

Algorithm

1×	egg-herbie

Rules

670×	`unswap-sqr_binary64`
493×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
333×	`*-commutative_binary64`
166×	`sub-neg_binary64`
160×	`cancel-sign-sub-inv_binary64`
154×	`associate-l_binary64`
136×	`associate-r_binary64`
123×	`exp-prod_binary64`
111×	`distribute-rgt-neg-in_binary64`
100×	`sqr-pow_binary64`
98×	`distribute-lft-neg-in_binary64`
96×	`unsub-neg_binary64`
90×	`associate-+l+_binary64`
84×	`log-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
82×	`associate-+r+_binary64`
66×	`cube-prod_binary64`
53×	`exp-sum_binary64`
50×	`+-commutative_binary64`
47×	`exp-diff_binary64`
39×	`associate--l+_binary64` `associate--r+_binary64`
31×	`associate-+l-_binary64`
28×	`distribute-neg-in_binary64`
25×	`swap-sqr_binary64`
23×	`pow-sqr_binary64` `distribute-rgt-out_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`-rgt-identity_binary64` `-lft-identity_binary64`
18×	`unpow3_binary64`
15×	`associate-+r-_binary64`
14×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
13×	`log-pow_binary64`
12×	`sub0-neg_binary64`
11×	`distribute-rgt-out--_binary64` `associate-/l*_binary64`
10×	`pow-plus_binary64`
9×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`+-rgt-identity_binary64`
6×	`associate--r-_binary64`
5×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
3×	`div-sub_binary64` `remove-double-neg_binary64`
2×	`unpow1/2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_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-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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

110 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1514
1	365	1363
2	1138	1357
3	3530	1339
4	5249	1339

prune53.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Error

Counts

83 → 2

Compiler

Compiled 1065 to 827 computations (22.3% saved)

regimes289.0ms (13.5%)

Accuracy

Total 0.0b remaining (67.4%)

Threshold costs 0.0b (67.4%)

Compiler

Compiled 4040 to 3392 computations (16% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
3×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64` `distribute-rgt-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` `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-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	36	28
2	55	28
3	67	28
4	73	28
5	75	28
6	71	28

end1.0ms (0%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample634.0ms (29.6%)

Algorithm

1×

intervals

Results

347.0ms

8000×

body

128

valid

Compiler

Compiled 72 to 65 computations (9.7% saved)

Details

analyze160.0ms (7.5%)

sample23.0ms (1.1%)

simplify147.0ms (6.8%)

prune2.0ms (0.1%)

localize11.0ms (0.5%)

rewrite190.0ms (8.9%)

series85.0ms (3.9%)

simplify147.0ms (6.9%)

prune85.0ms (4%)

localize10.0ms (0.5%)

rewrite112.0ms (5.2%)

series59.0ms (2.8%)

simplify129.0ms (6%)

prune53.0ms (2.5%)

regimes289.0ms (13.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end1.0ms (0%)

sample634.0ms (29.6%)

Profiling