Details

analyze512.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Rules

708×	`sub-neg_binary64`
527×	`associate-+l+_binary64`
450×	`associate-+r+_binary64`
434×	`associate--r-_binary64`
396×	`distribute-neg-out_binary64`
357×	`+-commutative_binary64`
313×	`neg-mul-1_binary64`
274×	`distribute-rgt-in_binary64`
239×	`neg-sub0_binary64`
227×	`distribute-neg-in_binary64`
212×	`associate-+l-_binary64`
208×	`unsub-neg_binary64`
200×	`distribute-lft-in_binary64`
198×	`cancel-sign-sub-inv_binary64`
185×	`cancel-sign-sub_binary64`
177×	`associate--r+_binary64`
134×	`--rgt-identity_binary64`
133×	`associate-+r-_binary64`
121×	`distribute-rgt-neg-in_binary64`
101×	`associate--l+_binary64`
78×	`distribute-lft-neg-in_binary64`
74×	`sub0-neg_binary64`
59×	`+-rgt-identity_binary64`
52×	`remove-double-neg_binary64` `*-commutative_binary64`
45×	`distribute-lft-neg-out_binary64`
32×	`associate-r_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64`
21×	`distribute-rgt-neg-out_binary64`
20×	`associate--l-_binary64`
13×	`-rgt-identity_binary64` `associate-l*_binary64`
10×	`*-lft-identity_binary64`
1×	`1-exp_binary64` `swap-x-y`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	275
1	160	275
2	489	275
3	1154	275
4	3068	275
5	4656	275
6	4923	275
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Symmetry

(sort x y)

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample59.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	128×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1117×	`associate--r+_binary64`
1075×	`associate-+l+_binary64`
486×	`unsub-neg_binary64`
464×	`sub-neg_binary64`
437×	`distribute-neg-in_binary64`
376×	`distribute-rgt-in_binary64`
282×	`cancel-sign-sub-inv_binary64`
234×	`associate-+l-_binary64`
185×	`+-commutative_binary64`
168×	`distribute-lft-in_binary64`
162×	`associate--r-_binary64`
161×	`distribute-lft-neg-out_binary64`
155×	`distribute-rgt-neg-out_binary64`
154×	`associate--l-_binary64`
145×	`*-commutative_binary64`
135×	`distribute-rgt-neg-in_binary64`
132×	`associate-+r+_binary64`
128×	`neg-mul-1_binary64`
123×	`associate--l+_binary64`
112×	`neg-sub0_binary64`
94×	`distribute-lft-neg-in_binary64`
85×	`associate-l_binary64`
67×	`associate-+r-_binary64`
65×	`associate-r_binary64`
45×	`sub0-neg_binary64`
32×	`cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
24×	`distribute-neg-out_binary64`
22×	`--rgt-identity_binary64`
21×	`*-rgt-identity_binary64`
18×	`*-lft-identity_binary64` `remove-double-neg_binary64`
14×	`+-rgt-identity_binary64`
13×	`distribute-rgt-out--_binary64`
8×	`log-prod_binary64` `distribute-lft-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`mul-1-neg_binary64`
2×	`+-lft-identity_binary64` `distribute-rgt1-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	70	25
3	150	25
4	376	25
5	910	25
6	1406	25
7	1438	25
8	1415	25
9	1435	25
10	1457	25
11	1522	25
12	1542	25
13	1960	25
14	1906	25
15	1992	25
16	2103	25
17	2175	25
18	2175	25
19	2285	25
20	5309	25

prune2.0ms (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

0.3b

Counts

1 → 1

Compiler

Compiled 16 to 15 computations (6.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite192.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`log-prod_binary64`
15×	`pow1_binary64`
14×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`log-pow_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`sum-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3--_binary64` `associate-*l/_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-+l-_binary64` `associate-l_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `log-div_binary64` `associate-r_binary64` `diff-log_binary64` `frac-add_binary64`
2×	`+-commutative_binary64` `difference-of-squares_binary64` `sub-neg_binary64` `associate--l+_binary64` `associate--l-_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
13.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

Compiler

Compiled 2547 to 853 computations (66.5% saved)

series341.0ms (3.3%)

Error

0.2b

Counts

4 → 65

Calls

4 calls:

145.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
66.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
41.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
36.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

Compiler

Compiled 2918 to 2265 computations (22.4% saved)

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

603×	`associate--l+_binary64`
425×	`sub-neg_binary64`
346×	`associate--r-_binary64`
227×	`cancel-sign-sub-inv_binary64`
179×	`+-commutative_binary64`
167×	`distribute-rgt-in_binary64`
166×	`unsub-neg_binary64`
158×	`distribute-lft-in_binary64`
127×	`associate-+l+_binary64`
125×	`distribute-neg-in_binary64`
120×	`associate--r+_binary64`
105×	`*-commutative_binary64`
92×	`exp-prod_binary64`
85×	`associate-l_binary64`
76×	`associate-r_binary64`
75×	`neg-mul-1_binary64` `neg-sub0_binary64`
74×	`associate-+r+_binary64`
73×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
69×	`associate--l-_binary64`
58×	`distribute-rgt-neg-out_binary64`
52×	`distribute-lft-neg-in_binary64`
45×	`exp-sum_binary64`
41×	`associate-+r-_binary64`
39×	`distribute-lft-out_binary64`
38×	`log-prod_binary64`
31×	`sqr-pow_binary64`
29×	`distribute-neg-out_binary64` `associate-+l-_binary64`
26×	`distribute-rgt-out_binary64`
19×	`exp-diff_binary64`
15×	`log-div_binary64`
14×	`exp-to-pow_binary64` `*-rgt-identity_binary64` `unswap-sqr_binary64`
13×	`*-lft-identity_binary64`
12×	`unpow3_binary64` `cube-prod_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
9×	`remove-double-neg_binary64`
8×	`+-rgt-identity_binary64` `associate-/r_binary64` `associate-r/_binary64`
7×	`cube-mult_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
6×	`prod-exp_binary64`
5×	`div-exp_binary64` `difference-of-squares_binary64`
4×	`log-rec_binary64` `unpow1/2_binary64` `associate-/r/_binary64`
3×	`rem-exp-log_binary64`
2×	`log-pow_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `count-2_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_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` `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-lft1-in_binary64` `associate-/l/_binary64`

Counts

171 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3504
1	857	3300
2	2866	3183
3	4899	3183
4	4988	3183

prune132.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	143	10	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	10	154

Error

0.0b

Counts

154 → 10

Compiler

Compiled 2386 to 962 computations (59.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2)))
0.2b	(*.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))
0.2b	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))
0.5b	(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))

rewrite267.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`frac-add_binary64`
19×	`log-prod_binary64`
18×	`add-cube-cbrt_binary64`
16×	`pow1_binary64` `add-log-exp_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
12×	`associate-+r+_binary64` `cancel-sign-sub-inv_binary64`
11×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64`
10×	`flip3-+_binary64` `flip-+_binary64` `log-pow_binary64` `associate-l_binary64` `associate-*l/_binary64`
9×	`sum-log_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out_binary64` `sqrt-prod_binary64`
4×	`associate-+l+_binary64` `sub-neg_binary64`
2×	`log-div_binary64` `associate-+r-_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64` `diff-log_binary64` `associate-+l-_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 129

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2)))
9.0ms	(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
8.0ms	(*.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))
7.0ms	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))

Compiler

Compiled 5179 to 1941 computations (62.5% saved)

series305.0ms (3%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

138.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2)))
43.0ms	(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
37.0ms	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))
36.0ms	(*.f64 (+.f64 -1/2 a) (log.f64 (sqrt.f64 t)))

Compiler

Compiled 3196 to 2267 computations (29.1% saved)

simplify159.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

465×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
382×	`sub-neg_binary64`
304×	`*-commutative_binary64`
289×	`associate-r_binary64`
280×	`associate-l_binary64`
172×	`+-commutative_binary64`
153×	`associate-+l+_binary64`
151×	`unsub-neg_binary64`
129×	`associate--l+_binary64`
100×	`associate--r+_binary64`
96×	`associate-+r+_binary64`
69×	`neg-sub0_binary64`
68×	`neg-mul-1_binary64`
59×	`cancel-sign-sub-inv_binary64`
45×	`exp-sum_binary64`
38×	`exp-prod_binary64`
34×	`distribute-rgt-neg-in_binary64`
31×	`distribute-neg-in_binary64`
25×	`sqr-pow_binary64`
23×	`associate-+r-_binary64`
22×	`associate-+l-_binary64`
19×	`exp-diff_binary64` `distribute-lft-neg-in_binary64` `associate--r-_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`unpow3_binary64`
12×	`log-prod_binary64` `prod-exp_binary64`
11×	`cube-mult_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`cube-prod_binary64`
8×	`associate-*l/_binary64`
7×	`exp-to-pow_binary64`
6×	`log-div_binary64` `div-exp_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `associate--l-_binary64`
5×	`distribute-rgt-neg-out_binary64` `associate-/l_binary64` `associate-r/_binary64`
4×	`distribute-rgt-out_binary64`
3×	`log-rec_binary64` `rem-exp-log_binary64` `remove-double-neg_binary64` `count-2_binary64`
2×	`exp-neg_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
1×	`log-pow_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-unmult_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_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` `unswap-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-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-/r*_binary64`

Counts

182 → 148

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	5895
1	1216	5477
2	4460	5475
3	4976	5475

prune174.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	149	9	158

Error

Counts

158 → 9

Compiler

Compiled 4193 to 1644 computations (60.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (+.f64 -1/2 a) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite224.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`log-prod_binary64`
30×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
28×	`associate-+l+_binary64`
26×	`*-un-lft-identity_binary64`
24×	`cbrt-prod_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`associate-+r+_binary64`
8×	`pow1_binary64` `associate-*l/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `log-pow_binary64` `frac-add_binary64`
2×	`pow1/3_binary64` `sum-log_binary64` `log-div_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 -1/2 a) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
9.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3541 to 1548 computations (56.3% saved)

series226.0ms (2.2%)

Error

Counts

4 → 28

Calls

4 calls:

110.0ms	(+.f64 (.f64 (+.f64 -1/2 a) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
44.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
20.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)

Compiler

Compiled 2041 to 1573 computations (22.9% saved)

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

303×	`associate-+l+_binary64`
291×	`+-commutative_binary64`
266×	`associate-+r+_binary64`
197×	`cancel-sign-sub-inv_binary64`
191×	`distribute-rgt-out_binary64`
174×	`associate-r_binary64`
169×	`associate-l_binary64`
151×	`*-commutative_binary64`
134×	`distribute-rgt-in_binary64`
126×	`distribute-lft-in_binary64`
123×	`distribute-lft-out_binary64`
113×	`distribute-rgt-neg-in_binary64`
104×	`distribute-lft-neg-in_binary64`
100×	`sub-neg_binary64`
98×	`log-prod_binary64`
85×	`exp-sum_binary64`
74×	`associate-+r-_binary64`
67×	`exp-prod_binary64`
60×	`cube-prod_binary64`
59×	`associate-+l-_binary64`
56×	`associate--l+_binary64`
52×	`associate--r+_binary64`
49×	`distribute-rgt-out--_binary64`
47×	`sqr-pow_binary64`
44×	`log-pow_binary64` `associate--r-_binary64`
43×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
41×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
33×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
32×	`unsub-neg_binary64`
31×	`exp-diff_binary64`
26×	`log-div_binary64` `distribute-lft-out--_binary64`
24×	`exp-to-pow_binary64`
18×	`unpow3_binary64`
16×	`cube-mult_binary64`
14×	`unswap-sqr_binary64` `associate-/r*_binary64`
12×	`distribute-rgt1-in_binary64`
7×	`log-rec_binary64` `prod-exp_binary64` `cube-unmult_binary64` `distribute-neg-out_binary64` `count-2_binary64`
6×	`exp-lft-sqr_binary64` `distribute-lft1-in_binary64` `associate-/l*_binary64` `associate--l-_binary64`
4×	`mul-1-neg_binary64`
3×	`unpow1/3_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
2×	`rec-exp_binary64`
1×	`pow-plus_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_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` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_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-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_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-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

126 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	2293
1	654	2028
2	1967	1820
3	4611	1812
4	4981	1812
5	4904	1812

prune159.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	99	9	108

Error

Counts

108 → 9

Compiler

Compiled 2674 to 1224 computations (54.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
0.4b	(+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite162.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64` `associate-+r+_binary64`
15×	`cbrt-prod_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`associate-+l-_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
5×	`pow1_binary64` `associate-+l+_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `log-div_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1/3_binary64` `+-commutative_binary64`
1×	`log-pow_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
7.0ms	(+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2235 to 927 computations (58.5% saved)

series215.0ms (2.1%)

Error

Counts

4 → 32

Calls

4 calls:

66.0ms	(+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z))))
65.0ms	(+.f64 (+.f64 (log.f64 (+.f64 y x)) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
19.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

Compiler

Compiled 2184 to 1793 computations (17.9% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

375×	`log-prod_binary64`
370×	`associate-l_binary64`
361×	`distribute-rgt-in_binary64`
337×	`associate-r_binary64`
333×	`distribute-lft-in_binary64`
290×	`sub-neg_binary64`
220×	`associate-+l+_binary64`
199×	`distribute-rgt-neg-in_binary64`
182×	`associate-+r+_binary64`
169×	`distribute-lft-neg-in_binary64`
166×	`+-commutative_binary64`
151×	`*-commutative_binary64`
144×	`distribute-neg-in_binary64`
138×	`cancel-sign-sub-inv_binary64`
93×	`unsub-neg_binary64`
92×	`log-pow_binary64`
91×	`associate--l+_binary64`
78×	`unswap-sqr_binary64`
72×	`associate-+r-_binary64`
60×	`exp-sum_binary64`
55×	`exp-to-pow_binary64`
53×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
52×	`sqr-pow_binary64` `associate-+l-_binary64`
46×	`neg-mul-1_binary64`
45×	`associate--r-_binary64`
41×	`associate--r+_binary64`
40×	`exp-prod_binary64`
35×	`log-div_binary64`
30×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
27×	`cube-prod_binary64` `distribute-rgt-out_binary64`
23×	`swap-sqr_binary64`
21×	`unpow3_binary64`
18×	`distribute-rgt-out--_binary64`
16×	`associate-/r*_binary64`
11×	`exp-diff_binary64` `--rgt-identity_binary64` `distribute-lft-out_binary64`
10×	`log-rec_binary64` `cube-unmult_binary64`
7×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
6×	`unpow1/3_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64`
5×	`div-sub_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `count-2_binary64`
4×	`prod-exp_binary64` `*-rgt-identity_binary64`
3×	`pow-plus_binary64` `rem-exp-log_binary64` `*-lft-identity_binary64` `distribute-neg-out_binary64`
2×	`exp-lft-sqr_binary64` `rec-exp_binary64` `rem-log-exp_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `associate-/l*_binary64` `associate--l-_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

106 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1838
1	443	1566
2	1074	1444
3	3551	1444
4	4609	1444
5	4954	1444
6	4881	1444

prune105.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Error

Counts

91 → 9

Compiler

Compiled 1588 to 703 computations (55.7% saved)

regimes4.7s (45.2%)

Accuracy

Total 0.2b remaining (91.2%)

Threshold costs 0.2b (91.2%)

Compiler

Compiled 67861 to 56006 computations (17.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64` `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	19	36
1	29	36
2	37	36
3	51	36
4	60	36
5	66	36
6	68	36
7	67	36

end7.0ms (0.1%)

Remove: (sort x y)
Compiler: Compiled 69 to 63 computations (8.7% saved)

sample1.8s (17.1%)

Algorithm

1×

intervals

Results

634.0ms	8000×	body	128	valid
304.0ms	4374×	body	128	nan
2.0ms	31×	body	128	invalid

Compiler

Compiled 283 to 255 computations (9.9% saved)

Details

analyze512.0ms (5%)

sample59.0ms (0.6%)

simplify150.0ms (1.5%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite192.0ms (1.9%)

series341.0ms (3.3%)

simplify139.0ms (1.3%)

prune132.0ms (1.3%)

localize19.0ms (0.2%)

rewrite267.0ms (2.6%)

series305.0ms (3%)

simplify159.0ms (1.5%)

prune174.0ms (1.7%)

localize20.0ms (0.2%)

rewrite224.0ms (2.2%)

series226.0ms (2.2%)

simplify132.0ms (1.3%)

prune159.0ms (1.5%)

localize23.0ms (0.2%)

rewrite162.0ms (1.6%)

series215.0ms (2.1%)

simplify144.0ms (1.4%)

prune105.0ms (1%)

regimes4.7s (45.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end7.0ms (0.1%)

sample1.8s (17.1%)

Profiling