Details

analyze398.0ms (6.9%)

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)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	123×	body	8192	exit
7.0ms	205×	body	128	valid
3.0ms	24×	body	512	valid
2.0ms	27×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify135.0ms (2.3%)

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 (0.1%)

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

13.8b

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 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.4b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite135.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

13.5b

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:

21.0ms	(+.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))
4.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1738 to 704 computations (59.5% saved)

series127.0ms (2.2%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

37.0ms	(+.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)

simplify151.0ms (2.6%)

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 → 68

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

prune52.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 969 to 452 computations (53.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.0b	(-.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)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
7.7b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite179.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

20.0ms	(-.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)))))
10.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3555 to 2247 computations (36.8% saved)

series178.0ms (3.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

73.0ms	(-.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)))))
38.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
29.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
9.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 1868 to 1407 computations (24.7% saved)

simplify138.0ms (2.4%)

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

prune109.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Error

0.0b

Counts

115 → 3

Compiler

Compiled 2714 to 1723 computations (36.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(*.f64 wj (exp.f64 wj))
0.8b	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
5.4b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite136.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
21×	`cancel-sign-sub-inv_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `add-exp-log_binary64`
7×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `div-sub_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 112

Calls

4 calls:

14.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
9.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
7.0ms	(*.f64 wj (exp.f64 wj))
5.0ms	(*.f64 wj (exp.f64 wj))

Compiler

Compiled 2962 to 490 computations (83.5% saved)

series137.0ms (2.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

48.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
41.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
10.0ms	(*.f64 wj (exp.f64 wj))
9.0ms	(*.f64 wj (exp.f64 wj))

Compiler

Compiled 1588 to 887 computations (44.1% saved)

simplify149.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

466×	`times-frac_binary64`
376×	`div-sub_binary64`
258×	`cancel-sign-sub-inv_binary64`
235×	`sub-neg_binary64`
211×	`exp-prod_binary64`
130×	`distribute-neg-frac_binary64`
127×	`*-commutative_binary64`
125×	`neg-sub0_binary64`
124×	`distribute-rgt-neg-in_binary64`
116×	`associate-l_binary64`
112×	`neg-mul-1_binary64`
109×	`distribute-lft-neg-out_binary64` `associate-r_binary64`
93×	`distribute-rgt-out_binary64`
91×	`+-commutative_binary64`
90×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
87×	`distribute-rgt-neg-out_binary64` `associate-*l/_binary64`
74×	`associate-/l_binary64` `associate-r/_binary64`
62×	`associate--l+_binary64`
60×	`distribute-rgt-in_binary64`
55×	`associate--r+_binary64`
54×	`distribute-lft-in_binary64`
53×	`log-prod_binary64`
50×	`cube-prod_binary64` `associate-+l+_binary64`
49×	`associate-/r*_binary64`
36×	`exp-diff_binary64`
34×	`exp-sum_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
33×	`unsub-neg_binary64`
29×	`cube-div_binary64`
28×	`log-div_binary64` `sqr-pow_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64`
26×	`distribute-rgt-out--_binary64`
20×	`distribute-rgt1-in_binary64`
18×	`exp-neg_binary64`
15×	`-rgt-identity_binary64` `-lft-identity_binary64`
13×	`unpow3_binary64`
11×	`swap-sqr_binary64`
10×	`associate-/r/_binary64`
8×	`cube-mult_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
7×	`log-pow_binary64` `div0_binary64`
6×	`div-exp_binary64` `cube-unmult_binary64`
5×	`rem-sqrt-square_binary64` `associate--r-_binary64` `associate-+r-_binary64`
4×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
3×	`prod-exp_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `rec-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate-+l-_binary64`
1×	`log-E_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `*-inverses_binary64` `pow-sqr_binary64` `difference-of-sqr--1_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

160 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	3890
1	716	3828
2	2424	3380
3	4334	3367
4	5381	3367

prune85.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Error

0.0b

Counts

121 → 3

Compiler

Compiled 1928 to 804 computations (58.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))
5.8b	(+.f64 wj (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
35.6b	(/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))

rewrite253.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

119×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
48×	`difference-of-squares_binary64`
46×	`*-un-lft-identity_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
22×	`add-cube-cbrt_binary64`
20×	`sqr-pow_binary64`
16×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64`
10×	`distribute-lft-out--_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-/r/_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-/r_binary64` `associate-r_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `associate-*l/_binary64`
2×	`frac-2neg_binary64` `difference-cubes_binary64` `div-sub_binary64` `clear-num_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64`
1×	`flip3--_binary64` `flip--_binary64` `sum-log_binary64` `associate-+r-_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

4 → 171

Calls

4 calls:

38.0ms	(/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))
34.0ms	(+.f64 wj (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
17.0ms	(*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))
4.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 6417 to 2288 computations (64.3% saved)

series253.0ms (4.4%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

74.0ms	(+.f64 wj (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
70.0ms	(/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 wj 3)) (.f64 (+.f64 wj 1) (+.f64 (.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))
51.0ms	(*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))
22.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 3308 to 2188 computations (33.9% saved)

simplify262.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

291×	`sub-neg_binary64`
257×	`associate-l_binary64`
256×	`associate-r_binary64`
248×	`distribute-rgt-in_binary64`
239×	`distribute-lft-in_binary64`
182×	`associate-/l*_binary64`
180×	`*-commutative_binary64`
165×	`times-frac_binary64` `+-commutative_binary64`
146×	`div-sub_binary64`
129×	`associate-*l/_binary64`
127×	`associate-/r*_binary64`
110×	`associate-*r/_binary64`
96×	`associate--l+_binary64`
88×	`neg-sub0_binary64`
87×	`neg-mul-1_binary64`
81×	`cancel-sign-sub-inv_binary64`
70×	`associate--r+_binary64`
67×	`associate-+l+_binary64`
63×	`sqr-pow_binary64`
58×	`unsub-neg_binary64`
48×	`cube-prod_binary64` `associate-/l/_binary64`
45×	`associate-+r+_binary64`
42×	`*-rgt-identity_binary64`
39×	`exp-prod_binary64`
34×	`log-prod_binary64`
33×	`distribute-neg-in_binary64`
32×	`*-lft-identity_binary64`
31×	`distribute-rgt-neg-in_binary64`
28×	`unpow3_binary64` `cube-div_binary64` `associate-/r/_binary64`
25×	`distribute-lft-neg-in_binary64`
20×	`cube-mult_binary64`
19×	`log-div_binary64`
13×	`exp-sum_binary64` `distribute-neg-frac_binary64`
12×	`pow-plus_binary64`
10×	`difference-of-squares_binary64` `distribute-rgt-out_binary64`
9×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
7×	`log-pow_binary64`
6×	`/-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `exp-diff_binary64` `mul-1-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`unpow1_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64`
3×	`exp-to-pow_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
2×	`associate--r-_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_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` `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-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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

230 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	380	8587
1	1180	8375
2	4366	8370
3	4867	8214
4	5007	8214

prune98.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Error

0.0b

Counts

159 → 4

Compiler

Compiled 3965 to 1557 computations (60.7% saved)

regimes927.0ms (16%)

Accuracy

Total 1.0b remaining (90.5%)

Threshold costs 1.0b (90.5%)

Compiler

Compiled 10794 to 7177 computations (33.5% saved)

bsearch23.0ms (0.4%)

Steps

Iters	Range		Point
9	3.2498757462705107e-24	4.2752370250990155e-19	4.2392229296386103e-19

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
11×	`sub-neg_binary64` `*-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
5×	`unsub-neg_binary64` `distribute-neg-in_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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-neg-frac_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	28	64
1	44	64
2	55	64
3	71	64
4	85	64
5	104	64
6	111	64
7	113	64
8	110	64

end1.0ms (0%)

Compiler: Compiled 43 to 28 computations (34.9% saved)

sample1.8s (30.3%)

Algorithm

1×

intervals

Results

763.0ms	3758×	body	8192	exit
239.0ms	6518×	body	128	valid
76.0ms	686×	body	512	valid
57.0ms	767×	body	256	valid
5.0ms	29×	body	1024	valid
3.0ms	74×	body	128	invalid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 259 to 149 computations (42.5% saved)

Details

analyze398.0ms (6.9%)

sample52.0ms (0.9%)

simplify135.0ms (2.3%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite135.0ms (2.3%)

series127.0ms (2.2%)

simplify151.0ms (2.6%)

prune52.0ms (0.9%)

localize19.0ms (0.3%)

rewrite179.0ms (3.1%)

series178.0ms (3.1%)

simplify138.0ms (2.4%)

prune109.0ms (1.9%)

localize8.0ms (0.1%)

rewrite136.0ms (2.4%)

series137.0ms (2.4%)

simplify149.0ms (2.6%)

prune85.0ms (1.5%)

localize17.0ms (0.3%)

rewrite253.0ms (4.4%)

series253.0ms (4.4%)

simplify262.0ms (4.5%)

prune98.0ms (1.7%)

regimes927.0ms (16%)

bsearch23.0ms (0.4%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.8s (30.3%)

Profiling