Details

analyze1.1s (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

872×	`unswap-sqr_binary64`
470×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
368×	`*-commutative_binary64`
320×	`associate-l_binary64`
272×	`unsub-neg_binary64`
236×	`associate-r_binary64`
186×	`difference-of-squares_binary64` `distribute-rgt-neg-in_binary64`
170×	`associate-/l/_binary64`
162×	`cancel-sign-sub-inv_binary64`
158×	`distribute-lft-neg-in_binary64`
122×	`neg-sub0_binary64` `associate-/r/_binary64`
114×	`neg-mul-1_binary64`
92×	`sub-neg_binary64` `sqr-pow_binary64`
88×	`associate-+r+_binary64`
72×	`associate-/l*_binary64`
62×	`associate-+l+_binary64`
60×	`distribute-lft-neg-out_binary64`
56×	`pow-sqr_binary64`
54×	`associate-/r*_binary64`
50×	`associate-*r/_binary64`
42×	`mul0-rgt_binary64` `mul0-lft_binary64`
40×	`distribute-rgt-neg-out_binary64`
38×	`associate-*l/_binary64`
34×	`+-commutative_binary64`
24×	`pow-plus_binary64`
22×	`associate-+l-_binary64`
20×	`distribute-neg-in_binary64` `associate--r+_binary64`
18×	`+-lft-identity_binary64`
16×	`cube-unmult_binary64` `cube-prod_binary64` `remove-double-neg_binary64`
14×	`associate-+r-_binary64`
12×	`sub0-neg_binary64` `+-rgt-identity_binary64`
6×	`*-lft-identity_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `cube-mult_binary64` `--rgt-identity_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
2×	`associate--r-_binary64` `associate--l+_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` `unpow1/2_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-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` `swap-sqr_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	72	38
3	179	38
4	435	38
5	1405	38
6	3508	38
7	5242	38
0	2	2
1	2	2

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
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample200.0ms (1.1%)

Algorithm

1×

intervals

Results

51.0ms	82×	body	1024	valid
30.0ms	39×	body	1024	nan
28.0ms	54×	body	2048	valid
16.0ms	88×	body	128	overflowed
15.0ms	39×	body	512	valid
9.0ms	20×	body	512	nan
7.0ms	8×	body	1024	invalid
6.0ms	65×	body	128	valid
5.0ms	11×	body	512	invalid
4.0ms	16×	body	256	valid
3.0ms	14×	body	256	nan
3.0ms	8×	body	256	invalid
2.0ms	27×	body	128	nan
1.0ms	10×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-neg-in_binary64`
436×	`unswap-sqr_binary64`
309×	`*-commutative_binary64`
248×	`sub-neg_binary64`
235×	`distribute-rgt-in_binary64` `associate-/l/_binary64`
234×	`unsub-neg_binary64`
228×	`associate-/r/_binary64`
219×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-out_binary64`
204×	`distribute-lft-neg-in_binary64`
196×	`distribute-rgt-neg-out_binary64`
181×	`neg-sub0_binary64`
177×	`neg-mul-1_binary64`
176×	`cancel-sign-sub_binary64`
166×	`cancel-sign-sub-inv_binary64`
160×	`associate-l_binary64`
118×	`associate-r_binary64`
93×	`difference-of-squares_binary64`
86×	`distribute-neg-out_binary64` `+-commutative_binary64`
83×	`distribute-neg-in_binary64`
73×	`associate-/l*_binary64`
72×	`sqr-pow_binary64`
70×	`associate--r+_binary64`
69×	`associate-*r/_binary64`
66×	`associate-+l-_binary64`
64×	`associate-/r*_binary64`
52×	`sub0-neg_binary64` `associate-*l/_binary64`
44×	`associate-+r+_binary64`
42×	`associate--l+_binary64`
40×	`pow-sqr_binary64` `associate-+r-_binary64`
31×	`associate-+l+_binary64`
26×	`cube-prod_binary64`
23×	`swap-sqr_binary64`
22×	`remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
20×	`pow-plus_binary64` `+-lft-identity_binary64`
16×	`+-rgt-identity_binary64`
13×	`cube-unmult_binary64`
8×	`distribute-rgt-out_binary64`
6×	`*-lft-identity_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `cube-mult_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
2×	`unpow1_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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-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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	40	19
3	96	19
4	228	19
5	723	19
6	1798	19
7	3290	19
8	4831	19

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

27.9b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

1.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite61.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

15×	`add-sqr-sqrt_binary64`
13×	`unpow-prod-down_binary64`
10×	`*-un-lft-identity_binary64`
9×	`difference-of-squares_binary64`
7×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out_binary64`

Counts

1 → 30

Calls

1 calls:

10.0ms

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 773 to 563 computations (27.2% saved)

series97.0ms (0.5%)

Error

0.4b

Counts

1 → 16

Calls

1 calls:

67.0ms

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 1477 to 1149 computations (22.2% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac_binary64`
467×	`associate-/r*_binary64`
341×	`associate-/l*_binary64`
172×	`cancel-sign-sub-inv_binary64`
156×	`sub-neg_binary64`
143×	`associate-*l/_binary64`
114×	`unswap-sqr_binary64`
95×	`+-commutative_binary64`
79×	`sqr-pow_binary64`
74×	`distribute-rgt-in_binary64`
70×	`exp-prod_binary64`
63×	`associate-/l/_binary64`
62×	`associate-r_binary64`
61×	`*-commutative_binary64`
58×	`distribute-neg-in_binary64` `distribute-lft-in_binary64`
55×	`unpow3_binary64`
53×	`associate-+r+_binary64`
50×	`associate-+l+_binary64`
49×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
48×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
46×	`cube-prod_binary64`
45×	`distribute-lft-neg-in_binary64`
43×	`associate--l+_binary64`
36×	`associate-/r/_binary64`
34×	`associate--r+_binary64`
32×	`distribute-neg-frac_binary64`
29×	`associate-*r/_binary64`
27×	`pow-sqr_binary64`
25×	`exp-sum_binary64` `unsub-neg_binary64`
21×	`difference-of-squares_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
11×	`exp-diff_binary64` `associate-+r-_binary64`
10×	`cube-mult_binary64`
9×	`swap-sqr_binary64`
8×	`pow-plus_binary64` `div-sub_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
7×	`log-prod_binary64`
6×	`log-div_binary64` `cube-div_binary64`
5×	`mul-1-neg_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64`
2×	`log-rec_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

46 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2091
1	521	1978
2	1582	1773
3	4831	1761
4	4993	1761
5	4986	1761

prune52.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Error

0.4b

Counts

42 → 4

Compiler

Compiled 1162 to 731 computations (37.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 x) n)
4.2b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite67.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64` `associate-/l*_binary64`
6×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64`

Counts

2 → 52

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
3.0ms	(/.f64 (log.f64 x) n)

Compiler

Compiled 750 to 201 computations (73.2% saved)

series79.0ms (0.4%)

Error

0.4b

Counts

2 → 18

Calls

2 calls:

43.0ms	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
29.0ms	(/.f64 (log.f64 x) n)

Compiler

Compiled 510 to 380 computations (25.5% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

529×	`times-frac_binary64`
376×	`associate-/l_binary64` `associate-/r_binary64`
246×	`div-sub_binary64`
243×	`distribute-rgt-in_binary64`
178×	`associate-/l/_binary64`
161×	`unswap-sqr_binary64`
137×	`associate-l_binary64`
131×	`associate-*l/_binary64`
102×	`associate-r_binary64`
100×	`associate-*r/_binary64`
97×	`log-prod_binary64`
80×	`log-div_binary64` `cancel-sign-sub-inv_binary64`
75×	`associate-/r/_binary64`
61×	`*-commutative_binary64`
54×	`distribute-frac-neg_binary64`
51×	`sub-neg_binary64`
46×	`unpow3_binary64`
45×	`exp-prod_binary64`
42×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64`
40×	`sqr-pow_binary64`
36×	`distribute-rgt-out_binary64`
34×	`distribute-lft-neg-out_binary64`
31×	`cube-prod_binary64`
29×	`exp-diff_binary64`
28×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
26×	`associate-+l+_binary64`
24×	`cube-div_binary64` `unsub-neg_binary64` `distribute-lft-neg-in_binary64` `associate-+r+_binary64`
23×	`log-pow_binary64`
19×	`swap-sqr_binary64`
18×	`distribute-neg-in_binary64`
17×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`
15×	`associate-+r-_binary64`
14×	`distribute-neg-frac_binary64`
13×	`log-rec_binary64`
11×	`*-rgt-identity_binary64`
9×	`cube-unmult_binary64`
8×	`pow-plus_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
7×	`exp-neg_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
6×	`+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`
5×	`prod-exp_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64`
4×	`exp-to-pow_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
3×	`cube-neg_binary64` `sqr-neg_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `rem-log-exp_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64`

Counts

70 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1200
1	275	1087
2	757	1087
3	2848	1063
4	4672	1063
5	4963	1063

prune18.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Error

0.4b

Counts

31 → 4

Compiler

Compiled 423 to 208 computations (50.8% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.6b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))
8.0b	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
10.8b	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
14.6b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))

rewrite809.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

91×	`add-log-exp_binary64`
52×	`sum-log_binary64`
36×	`frac-add_binary64`
28×	`flip3-+_binary64` `flip-+_binary64`
24×	`frac-sub_binary64`
20×	`associate-*r/_binary64`
17×	`add-exp-log_binary64`
16×	`diff-log_binary64` `*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `times-frac_binary64` `associate-/l*_binary64`
8×	`unpow-prod-down_binary64`
6×	`pow1_binary64` `associate-+r-_binary64` `div-exp_binary64`
4×	`cancel-sign-sub-inv_binary64` `log-div_binary64` `div-sub_binary64` `associate-+l-_binary64`
3×	`prod-exp_binary64`
2×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `+-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `unpow2_binary64` `sqr-pow_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 124

Calls

4 calls:

54.0ms	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
14.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
13.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
6.0ms	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))

Compiler

Compiled 19454 to 12754 computations (34.4% saved)

series739.0ms (3.9%)

Error

0.2b

Counts

4 → 50

Calls

4 calls:

273.0ms	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
168.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
139.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
49.0ms	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))

Compiler

Compiled 9966 to 7526 computations (24.5% saved)

simplify353.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

687×	`distribute-rgt-in_binary64`
380×	`times-frac_binary64`
201×	`*-commutative_binary64`
179×	`sub-neg_binary64`
178×	`cancel-sign-sub-inv_binary64`
163×	`+-commutative_binary64`
128×	`distribute-neg-in_binary64`
120×	`distribute-rgt-neg-in_binary64`
106×	`associate-+r+_binary64`
88×	`sqr-pow_binary64`
87×	`neg-mul-1_binary64` `neg-sub0_binary64`
83×	`distribute-lft-neg-in_binary64`
58×	`associate-*r/_binary64`
54×	`distribute-lft-in_binary64`
51×	`associate-l_binary64` `associate-r_binary64`
40×	`associate-/r*_binary64`
39×	`distribute-lft-neg-out_binary64`
37×	`unswap-sqr_binary64`
27×	`associate--r+_binary64`
25×	`unpow3_binary64`
24×	`cube-mult_binary64`
21×	`div-sub_binary64` `associate--l+_binary64`
20×	`distribute-rgt-out_binary64` `associate-/l*_binary64`
19×	`cube-prod_binary64`
17×	`swap-sqr_binary64`
14×	`unpow2_binary64` `distribute-frac-neg_binary64`
12×	`exp-prod_binary64`
11×	`unpow1_binary64`
10×	`prod-exp_binary64` `cube-div_binary64`
9×	`distribute-neg-frac_binary64`
8×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`log-prod_binary64` `exp-sum_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
5×	`div-exp_binary64`
4×	`log-div_binary64`
3×	`cube-unmult_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64` `associate-*l/_binary64`
2×	`log-pow_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

174 → 158

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	714	25177
1	2469	22626
2	5448	22626

prune449.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Error

0.2b

Counts

162 → 8

Compiler

Compiled 17169 to 11339 computations (34% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

10.8b	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))
15.1b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
15.1b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
15.1b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))

rewrite1.5s (8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

249×	`add-log-exp_binary64`
147×	`sum-log_binary64`
48×	`diff-log_binary64`
28×	`flip3-+_binary64` `flip-+_binary64` `*-un-lft-identity_binary64`
24×	`frac-sub_binary64`
18×	`associate-+r-_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`frac-add_binary64` `cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `log-div_binary64` `div-sub_binary64` `associate--l-_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 148

Calls

4 calls:

58.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
58.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
54.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
15.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))

Compiler

Compiled 42036 to 28222 computations (32.9% saved)

series1.6s (8.5%)

Error

0.2b

Counts

4 → 70

Calls

4 calls:

345.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
344.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
342.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
231.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))

Compiler

Compiled 31249 to 22367 computations (28.4% saved)

simplify468.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

317×	`distribute-rgt-in_binary64`
301×	`distribute-lft-in_binary64`
283×	`associate-r_binary64`
260×	`times-frac_binary64`
249×	`associate-/r*_binary64`
225×	`associate-l_binary64`
156×	`associate-/l*_binary64`
117×	`*-commutative_binary64`
109×	`sub-neg_binary64`
105×	`associate-*r/_binary64`
90×	`associate-*l/_binary64` `+-commutative_binary64`
82×	`cancel-sign-sub-inv_binary64`
73×	`distribute-neg-in_binary64`
69×	`sqr-pow_binary64`
55×	`associate-+r+_binary64`
46×	`neg-mul-1_binary64` `neg-sub0_binary64`
43×	`distribute-rgt-neg-in_binary64`
25×	`distribute-lft-neg-in_binary64`
18×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
16×	`associate--l+_binary64`
15×	`div-sub_binary64`
12×	`exp-prod_binary64` `unswap-sqr_binary64` `distribute-rgt-out_binary64`
10×	`prod-exp_binary64` `distribute-frac-neg_binary64`
9×	`unpow2_binary64` `unpow1_binary64`
8×	`cube-prod_binary64`
7×	`swap-sqr_binary64` `associate-/r/_binary64`
6×	`exp-sum_binary64` `difference-of-squares_binary64`
5×	`div-exp_binary64` `distribute-rgt-neg-out_binary64` `associate-/l/_binary64`
4×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
3×	`mul-1-neg_binary64` `distribute-neg-frac_binary64`
2×	`log-div_binary64` `log-prod_binary64` `cube-div_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
1×	`log-rec_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-unmult_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

218 → 202

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	432	33527
1	1383	31971
2	5034	31971

prune938.0ms (5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	202	8	210

Error

0.2b

Counts

210 → 8

Compiler

Compiled 36214 to 24156 computations (33.3% saved)

regimes2.7s (14.1%)

Accuracy

Total 10.6b remaining (96.6%)

Threshold costs 0b (0%)

Compiler

Compiled 55127 to 38185 computations (30.7% saved)

bsearch173.0ms (0.9%)

Steps

Iters	Range		Point
7	1.0272127015210026e+57	6.44883985748295e+58	8.578898669612482e+57
8	5176975.983015488	29020452437.53457	1119850077.417114
10	-331753.9824470805	-5.740566906767366e-05	-236843.41110673678

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
22×	`*-commutative_binary64`
18×	`sub-neg_binary64`
15×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
4×	`distribute-neg-frac_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` `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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	241
1	87	241
2	101	241
3	118	241
4	142	241
5	172	241
6	190	241
7	203	241
8	210	241
9	212	241
10	208	241

end4.0ms (0%)

Compiler: Compiled 157 to 115 computations (26.8% saved)

sample7.0s (37.3%)

Algorithm

1×

intervals

Results

1.5s	2632×	body	1024	valid
1.1s	1433×	body	1024	nan
1000.0ms	1737×	body	2048	valid
501.0ms	2645×	body	128	overflowed
432.0ms	1176×	body	512	valid
372.0ms	789×	body	512	nan
187.0ms	1867×	body	128	valid
180.0ms	203×	body	1024	invalid
136.0ms	588×	body	256	valid
126.0ms	253×	body	512	invalid
88.0ms	350×	body	256	nan
57.0ms	825×	body	128	nan
44.0ms	158×	body	256	invalid
38.0ms	292×	body	128	invalid
6.0ms	6×	body	2048	nan
1.0ms	1×	body	2048	invalid

Compiler

Compiled 1042 to 730 computations (29.9% saved)

Iter	Nodes	Cost
0	67	241
1	87	241
2	101	241
3	118	241
4	142	241
5	172	241
6	190	241
7	203	241
8	210	241
9	212	241
10	208	241

Iter	Nodes	Cost
0	67	241
1	87	241
2	101	241
3	118	241
4	142	241
5	172	241
6	190	241
7	203	241
8	210	241
9	212	241
10	208	241

Details

analyze1.1s (6.1%)

sample200.0ms (1.1%)

simplify50.0ms (0.3%)

prune5.0ms (0%)

localize7.0ms (0%)

rewrite61.0ms (0.3%)

series97.0ms (0.5%)

simplify110.0ms (0.6%)

prune52.0ms (0.3%)

localize7.0ms (0%)

rewrite67.0ms (0.4%)

series79.0ms (0.4%)

simplify89.0ms (0.5%)

prune18.0ms (0.1%)

localize43.0ms (0.2%)

rewrite809.0ms (4.3%)

series739.0ms (3.9%)

simplify353.0ms (1.9%)

prune449.0ms (2.4%)

localize72.0ms (0.4%)

rewrite1.5s (8%)

series1.6s (8.5%)

simplify468.0ms (2.5%)

prune938.0ms (5%)

regimes2.7s (14.1%)

bsearch173.0ms (0.9%)

simplify15.0ms (0.1%)

end4.0ms (0%)

sample7.0s (37.3%)

Profiling

Iter	Nodes	Cost
0	67	241
1	87	241
2	101	241
3	118	241
4	142	241
5	172	241
6	190	241
7	203	241
8	210	241
9	212	241
10	208	241