Details

analyze441.0ms (16%)

Algorithm

1×	search
2×	egg-herbie

Rules

554×	`neg-mul-1_binary64`
544×	`neg-sub0_binary64`
512×	`times-frac_binary64`
498×	`unsub-neg_binary64`
392×	`distribute-frac-neg_binary64`
282×	`sub-neg_binary64`
255×	`distribute-rgt-in_binary64`
250×	`div-sub_binary64`
229×	`associate-r_binary64`
219×	`associate-/r*_binary64`
210×	`associate-/l*_binary64`
200×	`associate-l_binary64`
181×	`distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
169×	`distribute-lft-neg-out_binary64`
156×	`distribute-neg-out_binary64`
145×	`distribute-lft-in_binary64`
126×	`cancel-sign-sub-inv_binary64`
99×	`*-commutative_binary64`
70×	`/-rgt-identity_binary64` `associate-+l-_binary64`
68×	`associate--r-_binary64`
55×	`associate--r+_binary64`
52×	`associate-*l/_binary64`
46×	`associate--l-_binary64`
42×	`sub0-neg_binary64` `distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
41×	`associate-/r/_binary64`
40×	`associate-*r/_binary64` `associate-+l+_binary64`
34×	`distribute-neg-in_binary64`
32×	`distribute-rgt-out_binary64` `associate-+r-_binary64`
30×	`associate--l+_binary64`
28×	`distribute-rgt-out--_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`remove-double-neg_binary64`
21×	`mul-1-neg_binary64` `*-rgt-identity_binary64`
19×	`+-commutative_binary64`
16×	`*-lft-identity_binary64`
15×	`+-rgt-identity_binary64`
13×	`div0_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
8×	`--rgt-identity_binary64`
6×	`*-inverses_binary64` `associate-/l/_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	64
1	69	64
2	170	64
3	487	64
4	1065	64
5	3499	52
6	4066	52
7	4577	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	33×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify160.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

833×	`div-sub_binary64`
775×	`times-frac_binary64`
694×	`sub-neg_binary64`
607×	`unsub-neg_binary64`
604×	`associate-/r/_binary64`
463×	`neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
446×	`associate-/l*_binary64`
437×	`neg-mul-1_binary64`
370×	`distribute-rgt-out_binary64`
348×	`associate--l+_binary64`
340×	`distribute-lft-neg-in_binary64`
336×	`distribute-rgt-out--_binary64`
291×	`distribute-rgt-in_binary64`
263×	`distribute-frac-neg_binary64`
247×	`distribute-rgt-neg-in_binary64`
228×	`distribute-rgt-neg-out_binary64` `associate-l_binary64`
217×	`distribute-neg-frac_binary64` `distribute-neg-out_binary64` `*-commutative_binary64`
189×	`distribute-lft-neg-out_binary64`
182×	`associate-/r*_binary64`
180×	`distribute-neg-in_binary64`
155×	`distribute-lft-in_binary64`
147×	`associate--r-_binary64`
123×	`associate--l-_binary64`
111×	`associate-r_binary64`
101×	`+-commutative_binary64`
96×	`remove-double-neg_binary64`
90×	`distribute-lft-out--_binary64`
77×	`associate--r+_binary64`
72×	`associate-*l/_binary64`
67×	`/-rgt-identity_binary64`
62×	`associate-+l-_binary64`
55×	`associate-/l/_binary64`
44×	`*-lft-identity_binary64`
33×	`div0_binary64`
29×	`associate-+r-_binary64`
27×	`-rgt-identity_binary64` `sub0-neg_binary64` `associate-r/_binary64`
21×	`--rgt-identity_binary64` `distribute-lft-out_binary64`
19×	`associate-+l+_binary64`
18×	`remove-double-div_binary64`
17×	`+-rgt-identity_binary64` `associate-+r+_binary64`
11×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`+-lft-identity_binary64`
3×	`cancel-sign-sub_binary64`
1×	`1-exp_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	57	16
3	161	16
4	351	16
5	1040	13
6	2162	13
7	3060	13
8	3082	13
9	3322	13
10	3409	13
11	3425	13
12	3290	13
13	4279	13
14	4785	13
15	4625	13

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

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-/l/_binary64`
1×	`pow1_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64`

Counts

1 → 23

Calls

1 calls:

11.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 460 to 265 computations (42.4% saved)

series61.0ms (2.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

51.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 330 to 306 computations (7.3% saved)

simplify72.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

600×	`div-sub_binary64`
320×	`neg-mul-1_binary64`
283×	`associate-/l*_binary64`
231×	`times-frac_binary64`
199×	`distribute-rgt-in_binary64`
193×	`distribute-lft-in_binary64`
188×	`associate-l_binary64`
144×	`distribute-rgt-neg-out_binary64`
140×	`associate-r_binary64`
134×	`distribute-lft-neg-out_binary64`
132×	`associate-*l/_binary64`
112×	`sub-neg_binary64`
111×	`associate-/l/_binary64`
99×	`associate-*r/_binary64`
88×	`*-commutative_binary64`
80×	`associate-/r/_binary64`
75×	`associate-/r*_binary64`
60×	`unsub-neg_binary64`
58×	`cancel-sign-sub-inv_binary64`
50×	`exp-diff_binary64` `exp-sum_binary64`
49×	`neg-sub0_binary64`
35×	`+-commutative_binary64`
30×	`exp-prod_binary64` `distribute-neg-in_binary64`
28×	`associate-+l+_binary64`
27×	`associate-+r+_binary64`
21×	`distribute-neg-frac_binary64`
20×	`swap-sqr_binary64`
18×	`log-div_binary64` `log-prod_binary64` `cube-prod_binary64`
15×	`cube-div_binary64`
14×	`associate-+l-_binary64`
13×	`sqr-pow_binary64` `associate-+r-_binary64`
12×	`*-rgt-identity_binary64` `associate--r+_binary64`
11×	`distribute-frac-neg_binary64`
9×	`associate--l-_binary64` `associate--l+_binary64`
8×	`/-rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
7×	`sqr-neg_binary64` `distribute-rgt-out_binary64`
6×	`unpow3_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64`
5×	`exp-neg_binary64` `cube-mult_binary64` `cube-neg_binary64` `distribute-lft-neg-in_binary64`
4×	`cube-unmult_binary64` `distribute-lft-out_binary64`
3×	`distribute-neg-out_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

41 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	765
1	223	612
2	670	567
3	2722	564
4	4648	564
5	5086	564

prune20.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 312 to 188 computations (39.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (/.f64 4 z))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
3×	`pow1_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

13.0ms

(*.f64 (-.f64 x y) (/.f64 4 z))

Compiler

Compiled 608 to 350 computations (42.4% saved)

series47.0ms (1.7%)

Error

Counts

1 → 15

Calls

1 calls:

40.0ms

(*.f64 (-.f64 x y) (/.f64 4 z))

Compiler

Compiled 324 to 302 computations (6.8% saved)

simplify85.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

520×	`div-sub_binary64`
476×	`associate-l_binary64`
384×	`associate-r_binary64`
305×	`distribute-rgt-neg-out_binary64`
292×	`distribute-lft-neg-out_binary64`
285×	`distribute-rgt-in_binary64`
276×	`distribute-lft-in_binary64`
273×	`associate-*r/_binary64`
270×	`associate-*l/_binary64`
157×	`associate-/l*_binary64`
140×	`*-commutative_binary64`
72×	`neg-sub0_binary64`
68×	`sub-neg_binary64`
67×	`exp-prod_binary64`
61×	`*-rgt-identity_binary64`
59×	`*-lft-identity_binary64`
58×	`times-frac_binary64`
57×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
45×	`neg-mul-1_binary64` `sqr-pow_binary64`
44×	`exp-sum_binary64`
40×	`log-prod_binary64` `associate-/r*_binary64`
38×	`cube-prod_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
37×	`swap-sqr_binary64`
30×	`log-div_binary64`
29×	`cube-div_binary64` `distribute-frac-neg_binary64`
26×	`exp-diff_binary64`
24×	`+-commutative_binary64`
22×	`unpow3_binary64`
20×	`sqr-neg_binary64`
18×	`cube-mult_binary64`
16×	`/-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
15×	`distribute-neg-in_binary64`
12×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
11×	`exp-neg_binary64` `cube-unmult_binary64` `unswap-sqr_binary64`
10×	`cube-neg_binary64` `associate-+r-_binary64`
9×	`+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`difference-of-squares_binary64`
5×	`sub0-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `mul-1-neg_binary64`
3×	`distribute-lft-out--_binary64` `associate--r+_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `div0_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_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` `div-exp_binary64` `rec-exp_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

53 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	719
1	262	656
2	919	656
3	3039	656
4	4776	656
5	5583	656

prune22.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 399 to 223 computations (44.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))
0.2b	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))

rewrite138.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64`
102×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`div-inv_binary64` `associate-/l*_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 139

Calls

2 calls:

11.0ms	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))
7.0ms	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))

Compiler

Compiled 3142 to 2053 computations (34.7% saved)

series140.0ms (5.1%)

Error

Counts

2 → 39

Calls

2 calls:

67.0ms	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))
53.0ms	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))

Compiler

Compiled 1465 to 1184 computations (19.2% saved)

simplify187.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

614×	`times-frac_binary64`
428×	`distribute-rgt-in_binary64`
408×	`distribute-lft-in_binary64`
196×	`associate-/r/_binary64`
130×	`*-commutative_binary64`
123×	`associate-*l/_binary64`
96×	`associate-/l/_binary64`
94×	`associate-/l*_binary64`
88×	`cancel-sign-sub-inv_binary64`
86×	`sub-neg_binary64`
62×	`associate-*r/_binary64`
61×	`associate-/r*_binary64`
59×	`distribute-neg-in_binary64`
49×	`distribute-rgt-neg-in_binary64`
45×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
42×	`unswap-sqr_binary64` `+-commutative_binary64`
41×	`neg-sub0_binary64`
40×	`cube-prod_binary64` `sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
39×	`neg-mul-1_binary64` `*-rgt-identity_binary64`
35×	`distribute-neg-frac_binary64` `associate-r_binary64`
23×	`div-sub_binary64` `associate-l_binary64` `associate--r+_binary64` `associate-+r+_binary64`
20×	`exp-sum_binary64`
19×	`associate-+l+_binary64`
16×	`log-prod_binary64`
15×	`unsub-neg_binary64`
14×	`exp-prod_binary64`
13×	`distribute-rgt-out_binary64`
12×	`unpow3_binary64` `cube-unmult_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`*-lft-identity_binary64`
8×	`log-div_binary64`
7×	`cube-mult_binary64` `cube-div_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64`
5×	`pow-plus_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
4×	`remove-double-div_binary64`
3×	`exp-diff_binary64` `rem-sqrt-square_binary64` `div0_binary64` `associate--r-_binary64`
2×	`log-pow_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
1×	`1-exp_binary64` `sub0-neg_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` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

178 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	4839
1	671	4605
2	2243	4523
3	4886	4523
4	4958	4523

prune104.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	3	165

Error

Counts

165 → 3

Compiler

Compiled 2869 to 1805 computations (37.1% saved)

regimes230.0ms (8.3%)

Accuracy

Total 0.0b remaining (36.4%)

Threshold costs 0.0b (36.4%)

Compiler

Compiled 1369 to 1493 computations (-9.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	16	13
2	22	13
3	24	13
4	25	13
5	24	13

end1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

sample930.0ms (33.6%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
32.0ms	957×	body	128	invalid

Compiler

Compiled 68 to 76 computations (-11.8% saved)

Details

analyze441.0ms (16%)

sample22.0ms (0.8%)

simplify160.0ms (5.8%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

rewrite31.0ms (1.1%)

series61.0ms (2.2%)

simplify72.0ms (2.6%)

prune20.0ms (0.7%)

localize6.0ms (0.2%)

rewrite45.0ms (1.6%)

series47.0ms (1.7%)

simplify85.0ms (3.1%)

prune22.0ms (0.8%)

localize7.0ms (0.3%)

rewrite138.0ms (5%)

series140.0ms (5.1%)

simplify187.0ms (6.8%)

prune104.0ms (3.8%)

regimes230.0ms (8.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample930.0ms (33.6%)

Profiling