Details

analyze403.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

492×	`unsub-neg_binary64`
426×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64`
386×	`div-sub_binary64`
340×	`times-frac_binary64`
314×	`sub-neg_binary64`
270×	`distribute-rgt-in_binary64`
256×	`distribute-rgt-neg-in_binary64`
234×	`associate-/l*_binary64`
232×	`distribute-neg-frac_binary64`
228×	`distribute-lft-in_binary64`
218×	`distribute-rgt-neg-out_binary64`
212×	`distribute-lft-neg-out_binary64`
198×	`distribute-rgt-out--_binary64`
168×	`*-commutative_binary64`
160×	`cancel-sign-sub_binary64`
154×	`distribute-lft-neg-in_binary64`
150×	`exp-prod_binary64`
146×	`associate-/r*_binary64`
114×	`cancel-sign-sub-inv_binary64` `associate-/r/_binary64`
108×	`distribute-rgt-out_binary64`
104×	`distribute-frac-neg_binary64`
94×	`associate-*l/_binary64`
62×	`associate-*r/_binary64`
60×	`distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate-r_binary64`
56×	`associate--r+_binary64`
50×	`associate-l_binary64`
48×	`associate--r-_binary64`
46×	`div0_binary64`
42×	`mul0-rgt_binary64`
40×	`sqr-pow_binary64` `+-commutative_binary64`
38×	`mul0-lft_binary64` `associate-/l/_binary64`
36×	`exp-sum_binary64`
32×	`associate-+l-_binary64`
30×	`exp-diff_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
28×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64`
24×	`unswap-sqr_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
20×	`sub0-neg_binary64` `associate-+r-_binary64`
18×	`distribute-rgt1-in_binary64` `associate--l+_binary64`
16×	`associate--l-_binary64` `associate-+l+_binary64`
14×	`pow-sqr_binary64`
12×	`rem-sqrt-square_binary64`
10×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft1-in_binary64`
8×	`exp-neg_binary64` `mul-1-neg_binary64` `remove-double-div_binary64`
6×	`--rgt-identity_binary64`
4×	`unpow1/2_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `swap-sqr_binary64`
2×	`pow-plus_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `sqr-neg_binary64` `+-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `e-exp-1_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-square-sqrt_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	38	46
2	101	46
3	281	42
4	601	36
5	1958	36
6	3390	36
7	4201	36
8	4908	36
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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample49.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	113×	body	8192	exit
8.0ms	209×	body	128	valid
2.0ms	29×	body	256	valid
2.0ms	16×	body	512	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

675×	`neg-mul-1_binary64`
493×	`div-sub_binary64`
416×	`distribute-neg-frac_binary64`
341×	`distribute-rgt-neg-out_binary64`
331×	`distribute-lft-neg-out_binary64`
302×	`sub-neg_binary64`
294×	`associate-/l/_binary64`
289×	`associate-/r*_binary64`
273×	`associate-*l/_binary64`
241×	`cancel-sign-sub-inv_binary64`
222×	`*-commutative_binary64`
219×	`associate-/r/_binary64`
216×	`distribute-rgt-neg-in_binary64`
204×	`neg-sub0_binary64`
188×	`distribute-frac-neg_binary64`
172×	`associate-*r/_binary64`
155×	`unsub-neg_binary64`
148×	`times-frac_binary64`
134×	`distribute-lft-neg-in_binary64`
113×	`exp-prod_binary64`
112×	`distribute-rgt-in_binary64`
105×	`associate-/l*_binary64`
95×	`distribute-lft-in_binary64`
68×	`distribute-rgt-out--_binary64`
63×	`associate-+l+_binary64` `associate-+r+_binary64`
62×	`unswap-sqr_binary64`
57×	`distribute-rgt-out_binary64`
54×	`remove-double-neg_binary64` `associate--r+_binary64`
50×	`distribute-neg-in_binary64`
41×	`cancel-sign-sub_binary64`
36×	`div0_binary64`
35×	`sqr-pow_binary64`
34×	`+-commutative_binary64`
33×	`cube-prod_binary64`
31×	`*-lft-identity_binary64`
29×	`associate--r-_binary64`
28×	`associate-+r-_binary64`
27×	`associate-+l-_binary64`
26×	`unpow3_binary64`
24×	`*-rgt-identity_binary64`
23×	`+-lft-identity_binary64`
22×	`exp-diff_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
21×	`/-rgt-identity_binary64`
20×	`associate-l_binary64`
19×	`exp-sum_binary64` `associate-r_binary64`
18×	`mul0-rgt_binary64`
17×	`+-rgt-identity_binary64`
15×	`mul0-lft_binary64`
13×	`exp-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
12×	`pow-sqr_binary64`
11×	`distribute-lft-out_binary64`
9×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `remove-double-div_binary64`
8×	`cube-unmult_binary64`
7×	`prod-exp_binary64`
6×	`cube-div_binary64` `distribute-rgt1-in_binary64`
5×	`pow-plus_binary64` `div-exp_binary64` `sqr-neg_binary64`
4×	`unpow1/2_binary64`
3×	`rec-exp_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `distribute-lft1-in_binary64`
2×	`swap-sqr_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `*-inverses_binary64` `+-inverses_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	21	23
2	54	23
3	144	21
4	317	18
5	917	18
6	2433	18
7	3237	18
8	4433	18
9	4979	18
10	4999	18
11	4887	18

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.7b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.3b	(/.f64 x (exp.f64 wj))
4.7b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite147.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64` `associate-/r*_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `div-sub_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`sum-log_binary64` `associate-+r-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64`

Counts

3 → 91

Calls

3 calls:

18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
7.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1738 to 704 computations (59.5% saved)

series126.0ms (1.6%)

Error

0.4b

Counts

3 → 45

Calls

3 calls:

38.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
37.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
18.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1281 to 881 computations (31.2% saved)

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

363×	`distribute-rgt-in_binary64`
311×	`distribute-lft-in_binary64`
263×	`associate--l+_binary64`
238×	`associate--r+_binary64`
207×	`associate-l_binary64`
194×	`associate-r_binary64`
185×	`associate-*l/_binary64`
183×	`div-sub_binary64`
181×	`cancel-sign-sub-inv_binary64`
180×	`sub-neg_binary64`
179×	`associate-/l*_binary64`
160×	`associate-*r/_binary64`
157×	`associate-/r*_binary64`
117×	`associate-/l/_binary64`
108×	`times-frac_binary64`
92×	`neg-mul-1_binary64`
88×	`+-commutative_binary64`
61×	`distribute-neg-in_binary64`
49×	`*-commutative_binary64`
48×	`neg-sub0_binary64`
47×	`associate-/r/_binary64`
46×	`distribute-rgt-neg-in_binary64`
40×	`distribute-neg-frac_binary64` `associate-+l+_binary64`
38×	`distribute-lft-neg-in_binary64`
33×	`unsub-neg_binary64`
27×	`exp-prod_binary64`
26×	`distribute-lft-neg-out_binary64`
24×	`*-rgt-identity_binary64`
23×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
18×	`sqr-pow_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`associate--l-_binary64`
13×	`cube-prod_binary64`
12×	`exp-sum_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`log-div_binary64` `cube-div_binary64` `distribute-rgt1-in_binary64`
9×	`exp-diff_binary64`
8×	`unswap-sqr_binary64`
7×	`log-pow_binary64` `cube-unmult_binary64`
6×	`log-prod_binary64`
5×	`unpow3_binary64` `prod-exp_binary64`
4×	`exp-to-pow_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
3×	`difference-of-squares_binary64` `distribute-lft1-in_binary64`
2×	`cube-mult_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `count-2_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` `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` `exp-neg_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` `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` `pow-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

136 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2868
1	560	2789
2	1554	2769
3	4587	2769
4	4989	2769
5	4955	2769

prune51.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	7	68

Error

0.4b

Counts

68 → 7

Compiler

Compiled 994 to 491 computations (50.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.1b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.2b	(*.f64 (pow.f64 wj 3) 8/3)
6.9b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite247.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

22×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
16×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64`
7×	`prod-exp_binary64` `associate-r_binary64`
6×	`unswap-sqr_binary64` `flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `frac-sub_binary64`
3×	`*-commutative_binary64` `cancel-sign-sub-inv_binary64`
2×	`sqr-pow_binary64` `diff-log_binary64` `associate-*r/_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--r+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 94

Calls

4 calls:

21.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
11.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
10.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3555 to 2247 computations (36.8% saved)

series191.0ms (2.4%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

76.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
41.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
31.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
10.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 1868 to 1407 computations (24.7% saved)

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-l_binary64`
397×	`associate-r_binary64`
273×	`distribute-rgt-neg-in_binary64`
249×	`unswap-sqr_binary64`
233×	`distribute-lft-neg-in_binary64`
220×	`distribute-rgt-in_binary64`
210×	`distribute-lft-in_binary64`
169×	`*-commutative_binary64`
149×	`log-prod_binary64`
142×	`distribute-neg-in_binary64`
140×	`exp-prod_binary64`
107×	`sub-neg_binary64`
84×	`cube-prod_binary64`
80×	`cancel-sign-sub-inv_binary64`
68×	`distribute-lft-neg-out_binary64`
64×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
57×	`swap-sqr_binary64`
53×	`neg-mul-1_binary64` `neg-sub0_binary64`
46×	`distribute-rgt-neg-out_binary64`
43×	`exp-sum_binary64`
33×	`unsub-neg_binary64`
32×	`associate--r+_binary64`
30×	`associate-+l+_binary64`
29×	`*-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
22×	`associate-+r+_binary64`
21×	`associate--l+_binary64`
18×	`unpow3_binary64`
15×	`log-pow_binary64`
13×	`difference-of-squares_binary64`
12×	`times-frac_binary64`
11×	`cube-mult_binary64`
8×	`exp-diff_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
7×	`pow-plus_binary64` `pow-sqr_binary64`
6×	`distribute-rgt-out--_binary64`
5×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
4×	`count-2_binary64` `associate-+r-_binary64`
3×	`div-exp_binary64`
2×	`rem-square-sqrt_binary64` `associate-/r*_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

130 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3164
1	675	2969
2	3035	2961
3	4918	2961
4	4966	2961

prune145.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Error

0.3b

Counts

119 → 8

Compiler

Compiled 2871 to 1836 computations (36.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (-.f64 (.f64 wj -2) (*.f64 8/3 (pow.f64 wj 3))))
0.0b	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
0.2b	(*.f64 8/3 (pow.f64 wj 3))
6.9b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

rewrite270.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

27×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
17×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64` `cancel-sign-sub-inv_binary64`
15×	`add-cube-cbrt_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`add-cbrt-cube_binary64`
12×	`associate-*r/_binary64`
11×	`pow1_binary64`
10×	`associate-+l+_binary64`
8×	`sub-neg_binary64`
7×	`prod-exp_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `associate--l+_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `frac-add_binary64` `associate-+r+_binary64`
3×	`*-commutative_binary64`
2×	`sqr-pow_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

14.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
12.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
7.0ms	(.f64 x (-.f64 (.f64 wj -2) (*.f64 8/3 (pow.f64 wj 3))))
6.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 4027 to 2649 computations (34.2% saved)

series194.0ms (2.5%)

Error

0.3b

Counts

4 → 39

Calls

4 calls:

74.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
41.0ms	(.f64 x (-.f64 (.f64 wj -2) (*.f64 8/3 (pow.f64 wj 3))))
37.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
9.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 1913 to 1465 computations (23.4% saved)

simplify181.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-l_binary64`
393×	`associate-r_binary64`
384×	`cancel-sign-sub-inv_binary64`
351×	`exp-prod_binary64`
214×	`distribute-rgt-neg-in_binary64` `*-commutative_binary64`
181×	`distribute-lft-neg-in_binary64`
176×	`distribute-rgt-in_binary64`
175×	`log-prod_binary64`
174×	`distribute-lft-in_binary64`
163×	`unswap-sqr_binary64`
145×	`distribute-rgt-out_binary64`
94×	`distribute-lft-neg-out_binary64`
86×	`distribute-rgt-neg-out_binary64`
85×	`+-commutative_binary64`
77×	`distribute-rgt-out--_binary64`
73×	`sub-neg_binary64`
58×	`sqr-pow_binary64`
56×	`cube-prod_binary64`
50×	`neg-sub0_binary64` `distribute-neg-in_binary64`
46×	`neg-mul-1_binary64`
44×	`unsub-neg_binary64`
38×	`*-lft-identity_binary64`
35×	`*-rgt-identity_binary64`
34×	`swap-sqr_binary64`
30×	`unpow3_binary64` `associate-+l+_binary64`
25×	`exp-sum_binary64`
19×	`log-pow_binary64` `associate-+r+_binary64`
17×	`associate--l+_binary64`
16×	`difference-of-squares_binary64`
15×	`pow-plus_binary64`
14×	`associate--r+_binary64`
13×	`exp-diff_binary64`
10×	`cube-mult_binary64` `distribute-neg-out_binary64`
8×	`pow-sqr_binary64`
5×	`distribute-lft-out_binary64`
4×	`div-sub_binary64` `mul-1-neg_binary64`
3×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`+-rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-lft-out--_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` `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-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` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_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-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

156 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	3677
1	721	3449
2	2792	3388
3	4494	3370
4	4992	3370
5	4961	3370

prune168.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Error

0.3b

Counts

146 → 8

Compiler

Compiled 2879 to 1969 computations (31.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
0.3b	(.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj))))
2.7b	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
4.2b	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))

rewrite746.0ms (9.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

80×	`cbrt-div_binary64`
57×	`pow1_binary64`
44×	`associate-*r/_binary64`
36×	`add-exp-log_binary64` `frac-times_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
29×	`pow-prod-down_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`cbrt-prod_binary64`
22×	`prod-exp_binary64` `cbrt-unprod_binary64`
21×	`add-cbrt-cube_binary64`
19×	`*-un-lft-identity_binary64`
18×	`associate-*l/_binary64`
15×	`add-cube-cbrt_binary64` `associate-r_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`associate-l_binary64`
7×	`pow1/3_binary64`
6×	`pow-prod-up_binary64` `swap-sqr_binary64`
5×	`pow-plus_binary64` `unswap-sqr_binary64`
4×	`pow-sqr_binary64` `add-log-exp_binary64`
3×	`pow2_binary64` `*-commutative_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 158

Calls

4 calls:

36.0ms	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
22.0ms	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))
17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj))))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

Compiler

Compiled 9092 to 6586 computations (27.6% saved)

series271.0ms (3.4%)

Error

0.3b

Counts

4 → 36

Calls

4 calls:

72.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj))))
61.0ms	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))
38.0ms	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
33.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

Compiler

Compiled 4516 to 3664 computations (18.9% saved)

simplify218.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-l_binary64`
475×	`associate-r_binary64`
419×	`unswap-sqr_binary64`
250×	`*-commutative_binary64`
221×	`exp-prod_binary64`
212×	`cancel-sign-sub-inv_binary64`
162×	`distribute-rgt-neg-in_binary64`
151×	`distribute-lft-neg-in_binary64`
139×	`log-prod_binary64`
104×	`sqr-pow_binary64`
91×	`sub-neg_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`
63×	`times-frac_binary64` `+-commutative_binary64`
52×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
45×	`distribute-neg-in_binary64`
39×	`distribute-lft-neg-out_binary64`
38×	`associate-+l+_binary64`
36×	`cube-prod_binary64`
32×	`*-rgt-identity_binary64`
30×	`exp-sum_binary64`
28×	`swap-sqr_binary64`
27×	`associate-+r+_binary64`
26×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
22×	`unsub-neg_binary64`
21×	`unpow3_binary64` `pow-plus_binary64`
16×	`distribute-neg-frac_binary64`
15×	`unpow1/3_binary64` `associate--l+_binary64`
14×	`associate-/l*_binary64` `associate--r+_binary64`
12×	`exp-to-pow_binary64` `pow-sqr_binary64`
11×	`cube-unmult_binary64` `associate-*r/_binary64`
10×	`log-pow_binary64`
8×	`rem-sqrt-square_binary64`
7×	`difference-of-squares_binary64` `associate-*l/_binary64`
6×	`unpow1/2_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64`
5×	`cube-mult_binary64` `div-sub_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
3×	`log-div_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`

Counts

194 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	7549
1	806	6812
2	2960	6352
3	4732	6293
4	4966	6293

prune300.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	165	8	173

Error

0.3b

Counts

173 → 8

Compiler

Compiled 5772 to 4175 computations (27.7% saved)

regimes1.8s (22.6%)

Accuracy

Total 0.4b remaining (78.1%)

Threshold costs 0.4b (78.1%)

Compiler

Compiled 28083 to 21039 computations (25.1% saved)

bsearch15.0ms (0.2%)

Compiler: Compiled 16 to 8 computations (50% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

100×	`distribute-rgt-neg-in_binary64`
98×	`cancel-sign-sub-inv_binary64`
65×	`distribute-lft-neg-in_binary64`
62×	`neg-mul-1_binary64` `neg-sub0_binary64`
56×	`distribute-lft-neg-out_binary64`
53×	`distribute-neg-in_binary64`
43×	`sub-neg_binary64`
42×	`unsub-neg_binary64`
40×	`distribute-rgt-neg-out_binary64`
39×	`+-commutative_binary64`
31×	`*-commutative_binary64`
26×	`distribute-neg-out_binary64`
11×	`remove-double-neg_binary64`
8×	`distribute-frac-neg_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `distribute-neg-frac_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	94
1	64	94
2	83	94
3	99	94
4	124	94
5	145	94
6	166	94
7	204	94
8	257	94
9	295	94
10	314	94
11	342	94
12	373	94
13	416	94
14	473	94
15	517	94
16	546	94
17	565	94
18	571	94
19	561	94

end1.0ms (0%)

Compiler: Compiled 61 to 36 computations (41% saved)

sample1.9s (23.8%)

Algorithm

1×

intervals

Results

787.0ms	3810×	body	8192	exit
233.0ms	6550×	body	128	valid
87.0ms	746×	body	512	valid
48.0ms	680×	body	256	valid
4.0ms	90×	body	128	invalid
4.0ms	24×	body	1024	valid
1.0ms	16×	body	128	overflowed

Compiler

Compiled 374 to 261 computations (30.2% saved)

Iter	Nodes	Cost
0	37	94
1	64	94
2	83	94
3	99	94
4	124	94
5	145	94
6	166	94
7	204	94
8	257	94
9	295	94
10	314	94
11	342	94
12	373	94
13	416	94
14	473	94
15	517	94
16	546	94
17	565	94
18	571	94
19	561	94

Iter	Nodes	Cost
0	37	94
1	64	94
2	83	94
3	99	94
4	124	94
5	145	94
6	166	94
7	204	94
8	257	94
9	295	94
10	314	94
11	342	94
12	373	94
13	416	94
14	473	94
15	517	94
16	546	94
17	565	94
18	571	94
19	561	94

Details

analyze403.0ms (5.1%)

sample49.0ms (0.6%)

simplify137.0ms (1.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite147.0ms (1.9%)

series126.0ms (1.6%)

simplify150.0ms (1.9%)

prune51.0ms (0.6%)

localize15.0ms (0.2%)

rewrite247.0ms (3.1%)

series191.0ms (2.4%)

simplify141.0ms (1.8%)

prune145.0ms (1.8%)

localize15.0ms (0.2%)

rewrite270.0ms (3.4%)

series194.0ms (2.5%)

simplify181.0ms (2.3%)

prune168.0ms (2.1%)

localize24.0ms (0.3%)

rewrite746.0ms (9.5%)

series271.0ms (3.4%)

simplify218.0ms (2.8%)

prune300.0ms (3.8%)

regimes1.8s (22.6%)

bsearch15.0ms (0.2%)

simplify23.0ms (0.3%)

end1.0ms (0%)

sample1.9s (23.8%)

Profiling

Iter	Nodes	Cost
0	37	94
1	64	94
2	83	94
3	99	94
4	124	94
5	145	94
6	166	94
7	204	94
8	257	94
9	295	94
10	314	94
11	342	94
12	373	94
13	416	94
14	473	94
15	517	94
16	546	94
17	565	94
18	571	94
19	561	94