Details

analyze1.4s (22.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

736×	`times-frac_binary64`
662×	`div-sub_binary64`
597×	`associate-/l*_binary64`
537×	`sub-neg_binary64`
495×	`neg-mul-1_binary64`
482×	`unsub-neg_binary64`
468×	`neg-sub0_binary64`
438×	`distribute-lft-neg-in_binary64`
354×	`distribute-rgt-neg-in_binary64`
352×	`cancel-sign-sub-inv_binary64`
333×	`associate-/r*_binary64`
324×	`distribute-neg-frac_binary64`
320×	`distribute-frac-neg_binary64`
275×	`distribute-rgt-in_binary64`
214×	`distribute-lft-in_binary64`
211×	`remove-double-neg_binary64`
190×	`distribute-lft-neg-out_binary64`
172×	`distribute-rgt-neg-out_binary64`
159×	`+-commutative_binary64`
154×	`distribute-neg-in_binary64`
128×	`associate-l_binary64`
110×	`*-commutative_binary64`
91×	`associate-/r/_binary64`
90×	`associate--r+_binary64`
71×	`associate--r-_binary64`
63×	`div0_binary64`
60×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
58×	`distribute-lft-out--_binary64`
56×	`mul0-rgt_binary64` `mul0-lft_binary64`
53×	`associate-r_binary64`
52×	`/-rgt-identity_binary64`
48×	`distribute-lft-out_binary64` `associate-+l-_binary64`
44×	`sub0-neg_binary64` `distribute-neg-out_binary64`
42×	`*-lft-identity_binary64`
34×	`associate--l-_binary64`
30×	`associate-/l/_binary64`
25×	`associate-+l+_binary64`
18×	`associate-+r-_binary64` `associate-+r+_binary64`
16×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
14×	`--rgt-identity_binary64`
5×	`associate--l+_binary64`
4×	`remove-double-div_binary64` `cancel-sign-sub_binary64`
1×	`1-exp_binary64` `associate-*l/_binary64` `swap-x-y` `swap-z-t`
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` `+-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` `distribute-rgt-out_binary64` `count-2_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	143
1	106	143
2	218	143
3	354	143
4	829	143
5	1159	143
6	1545	143
7	3951	143
8	3323	143
9	3857	143
10	3957	143
11	4139	143
12	4203	143
13	4800	143
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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 10 to 10 computations (0% saved)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	91×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

130×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-in_binary64`
103×	`associate-/l*_binary64`
96×	`div-sub_binary64`
90×	`distribute-lft-in_binary64`
61×	`distribute-rgt-neg-in_binary64`
59×	`unsub-neg_binary64`
55×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
50×	`associate-/r*_binary64`
47×	`associate-r_binary64`
46×	`associate-/r/_binary64`
36×	`neg-mul-1_binary64`
34×	`distribute-neg-frac_binary64`
33×	`distribute-lft-neg-out_binary64`
30×	`neg-sub0_binary64`
29×	`associate-l_binary64`
26×	`distribute-neg-in_binary64` `*-commutative_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`mul0-rgt_binary64`
23×	`mul0-lft_binary64`
20×	`associate--r+_binary64` `+-commutative_binary64`
17×	`+-lft-identity_binary64`
14×	`associate-/l/_binary64`
12×	`*-lft-identity_binary64`
10×	`div0_binary64` `associate-+l-_binary64`
9×	`remove-double-neg_binary64` `sub0-neg_binary64`
7×	`*-rgt-identity_binary64`
6×	`associate-+l+_binary64`
4×	`/-rgt-identity_binary64` `associate--r-_binary64`
3×	`--rgt-identity_binary64`
2×	`+-rgt-identity_binary64` `associate-*l/_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `associate-*r/_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `times-frac_binary64` `mul-1-neg_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-out_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	40	13
3	66	13
4	129	13
5	183	13
6	243	13
7	382	13
8	519	13
9	624	13
10	607	13
11	633	13
12	623	13
13	624	13
14	551	13

prune1.0ms (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

9.0b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
3.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 786 to 148 computations (81.2% saved)

series115.0ms (1.9%)

Error

8.8b

Counts

2 → 51

Calls

2 calls:

71.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
39.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 732 to 727 computations (0.7% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

633×	`distribute-rgt-in_binary64`
566×	`distribute-lft-in_binary64`
267×	`associate-l_binary64`
209×	`associate-r_binary64`
197×	`div-sub_binary64`
175×	`associate-*l/_binary64`
169×	`distribute-lft-neg-out_binary64`
167×	`cancel-sign-sub-inv_binary64`
163×	`distribute-rgt-neg-out_binary64`
127×	`associate-*r/_binary64`
110×	`exp-prod_binary64`
109×	`*-commutative_binary64`
108×	`distribute-rgt-neg-in_binary64`
99×	`distribute-lft-neg-in_binary64`
83×	`associate-/l*_binary64`
72×	`associate-/l/_binary64`
69×	`distribute-neg-frac_binary64`
68×	`sub-neg_binary64`
66×	`distribute-frac-neg_binary64`
58×	`neg-sub0_binary64`
53×	`sqr-pow_binary64`
48×	`unsub-neg_binary64` `associate-/r/_binary64`
47×	`neg-mul-1_binary64`
43×	`distribute-rgt-out_binary64`
41×	`associate-/r*_binary64`
31×	`cube-prod_binary64`
29×	`swap-sqr_binary64`
28×	`times-frac_binary64` `unswap-sqr_binary64`
24×	`distribute-lft-out_binary64`
23×	`exp-sum_binary64`
22×	`difference-of-squares_binary64`
21×	`log-div_binary64` `log-prod_binary64` `+-commutative_binary64`
20×	`unpow3_binary64`
17×	`cube-div_binary64`
16×	`exp-diff_binary64`
14×	`distribute-neg-in_binary64`
10×	`cube-mult_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64`
9×	`*-lft-identity_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`associate-+r-_binary64` `associate-+r+_binary64`
6×	`*-rgt-identity_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
5×	`cube-unmult_binary64` `remove-double-neg_binary64`
4×	`sqr-neg_binary64` `sub0-neg_binary64`
3×	`log-rec_binary64` `cube-neg_binary64` `div0_binary64` `associate--r+_binary64`
2×	`associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `--rgt-identity_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-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` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l+_binary64`

Counts

93 → 62

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1380
1	237	1303
2	683	1303
3	2087	1303
4	4921	1303
5	4946	1303

prune43.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	51	11	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	12	63

Error

8.7b

Counts

63 → 12

Compiler

Compiled 833 to 249 computations (70.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.4b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
8.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))

rewrite171.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

8.7b

Rules

90×	`times-frac_binary64`
55×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 125

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
5.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
3.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 2967 to 786 computations (73.5% saved)

series184.0ms (3%)

Error

8.7b

Counts

3 → 72

Calls

3 calls:

70.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
64.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
41.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 1508 to 1417 computations (6% saved)

simplify194.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

819×	`div-sub_binary64`
544×	`associate-l_binary64`
384×	`times-frac_binary64`
369×	`associate-/l*_binary64`
301×	`associate-/r/_binary64`
285×	`associate-/r*_binary64`
263×	`associate-/l/_binary64`
262×	`associate-*l/_binary64`
195×	`associate-*r/_binary64`
144×	`distribute-rgt-in_binary64`
142×	`exp-prod_binary64` `distribute-lft-in_binary64`
106×	`cube-prod_binary64`
94×	`*-rgt-identity_binary64`
88×	`unsub-neg_binary64`
78×	`neg-sub0_binary64`
72×	`sqr-pow_binary64` `*-commutative_binary64`
61×	`neg-mul-1_binary64` `sub-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-neg-in_binary64`
54×	`associate-r_binary64`
48×	`distribute-lft-neg-in_binary64`
41×	`exp-diff_binary64`
38×	`exp-sum_binary64`
33×	`log-prod_binary64`
32×	`log-div_binary64` `unpow3_binary64`
28×	`*-lft-identity_binary64`
27×	`cube-mult_binary64` `cube-div_binary64`
24×	`distribute-lft-neg-out_binary64`
21×	`unswap-sqr_binary64`
19×	`/-rgt-identity_binary64` `distribute-neg-frac_binary64`
17×	`distribute-rgt-out_binary64`
16×	`+-commutative_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`mul-1-neg_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`cube-neg_binary64`
10×	`pow-sqr_binary64`
9×	`associate-+r+_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
6×	`log-rec_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64`
5×	`unpow1/2_binary64`
4×	`remove-double-div_binary64` `associate-+r-_binary64`
3×	`difference-of-squares_binary64` `associate--r-_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `associate-+l+_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_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-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

197 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	4227
1	411	3953
2	1382	3879
3	4150	3879
4	4650	3879
5	6182	3879

prune70.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	117	13	130

Error

8.6b

Counts

130 → 13

Compiler

Compiled 1417 to 442 computations (68.8% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
8.5b	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) a) (.f64 (-.f64 (.f64 x y) (*.f64 t z)) (cbrt.f64 1)))

rewrite78.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

8.6b

Rules

23×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
11×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`pow1_binary64` `associate-l_binary64`
5×	`associate-*l/_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `cbrt-undiv_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64` `times-frac_binary64`
2×	`frac-times_binary64` `associate-*r/_binary64`
1×	`div-inv_binary64` `associate-r_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 47

Calls

2 calls:

12.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) a) (.f64 (-.f64 (.f64 x y) (*.f64 t z)) (cbrt.f64 1)))
3.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 1348 to 703 computations (47.8% saved)

series131.0ms (2.1%)

Error

8.6b

Counts

2 → 51

Calls

2 calls:

73.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) a) (.f64 (-.f64 (.f64 x y) (*.f64 t z)) (cbrt.f64 1)))
49.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 1097 to 1080 computations (1.5% saved)

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`div-sub_binary64`
421×	`associate-*l/_binary64`
353×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`
319×	`*-commutative_binary64`
275×	`associate-/l*_binary64`
214×	`associate-*r/_binary64`
187×	`exp-prod_binary64`
183×	`times-frac_binary64`
151×	`associate-l_binary64`
135×	`associate-r_binary64`
117×	`cancel-sign-sub-inv_binary64`
106×	`unsub-neg_binary64`
100×	`associate-/r*_binary64`
98×	`exp-sum_binary64`
96×	`unswap-sqr_binary64`
84×	`sqr-pow_binary64`
79×	`neg-sub0_binary64`
75×	`neg-mul-1_binary64`
68×	`sub-neg_binary64`
65×	`log-div_binary64`
57×	`associate-/r/_binary64`
50×	`log-prod_binary64`
48×	`exp-diff_binary64`
43×	`distribute-rgt-neg-in_binary64`
38×	`swap-sqr_binary64`
37×	`distribute-lft-neg-in_binary64`
35×	`cube-div_binary64`
34×	`*-rgt-identity_binary64`
32×	`*-lft-identity_binary64` `associate-/l/_binary64`
29×	`associate-+l+_binary64`
28×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64` `+-commutative_binary64`
23×	`cube-prod_binary64`
22×	`unpow3_binary64` `difference-of-squares_binary64`
20×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
18×	`associate-+l-_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out_binary64`
15×	`associate-+r-_binary64`
11×	`cube-unmult_binary64`
10×	`/-rgt-identity_binary64` `pow-sqr_binary64`
8×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
6×	`log-rec_binary64` `exp-neg_binary64` `sqr-neg_binary64` `associate--r+_binary64`
5×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
4×	`cube-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
3×	`remove-double-neg_binary64` `associate--l+_binary64`
2×	`unpow1/2_binary64` `div0_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

98 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	2141
1	342	1346
2	1117	1328
3	3539	1328
4	4511	1328
5	5998	1328

prune38.0ms (0.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	62	13	75

Error

8.6b

Counts

75 → 13

Compiler

Compiled 795 to 378 computations (52.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.2b	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 t z)) a))
8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)

rewrite127.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

8.6b

Rules

36×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`cbrt-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l_binary64` `associate-/r_binary64`
6×	`associate-/l/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `div-inv_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
4.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 t z)) a))

Compiler

Compiled 4630 to 457 computations (90.1% saved)

series417.0ms (6.7%)

Error

8.6b

Counts

4 → 106

Calls

4 calls:

144.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 t z)) a))
83.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
79.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
78.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)

Compiler

Compiled 7666 to 3688 computations (51.9% saved)

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

737×	`times-frac_binary64`
226×	`associate-/l/_binary64`
184×	`distribute-lft-neg-in_binary64`
182×	`distribute-rgt-neg-in_binary64`
153×	`distribute-neg-frac_binary64`
152×	`distribute-rgt-in_binary64`
146×	`distribute-lft-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
128×	`associate-/l*_binary64`
113×	`associate-r_binary64`
102×	`sub-neg_binary64`
97×	`*-commutative_binary64`
86×	`associate-l_binary64`
67×	`associate-*r/_binary64`
64×	`associate-/r*_binary64`
60×	`neg-sub0_binary64`
58×	`exp-sum_binary64`
54×	`div-sub_binary64` `neg-mul-1_binary64`
51×	`sqr-pow_binary64`
49×	`associate-*l/_binary64`
36×	`exp-prod_binary64`
27×	`exp-diff_binary64` `+-commutative_binary64`
25×	`unswap-sqr_binary64`
21×	`log-div_binary64`
20×	`distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out_binary64` `associate-/r/_binary64`
16×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
14×	`unpow1/3_binary64` `distribute-neg-in_binary64`
13×	`log-prod_binary64`
12×	`distribute-lft-out_binary64`
11×	`pow-sqr_binary64`
9×	`associate--r-_binary64`
8×	`swap-sqr_binary64` `associate-+l-_binary64`
7×	`mul-1-neg_binary64`
6×	`cube-unmult_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
5×	`log-rec_binary64`
4×	`exp-to-pow_binary64` `*-rgt-identity_binary64` `distribute-neg-out_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
3×	`log-pow_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`unpow3_binary64` `pow-plus_binary64` `1-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-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` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

218 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	4386
1	582	4166
2	1905	4132
3	5047	4132

prune49.0ms (0.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	119	14	133

Error

8.6b

Counts

133 → 14

Compiler

Compiled 2237 to 362 computations (83.8% saved)

regimes1.6s (24.9%)

Accuracy

Total 0.3b remaining (4.2%)

Threshold costs 0.3b (4.2%)

Compiler

Compiled 25623 to 16749 computations (34.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	27	13
3	33	13
4	37	13
5	38	13
6	38	13

end23.0ms (0.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 45 to 45 computations (0% saved)

sample1.1s (18.1%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
100.0ms	3015×	body	128	invalid

Compiler

Compiled 385 to 238 computations (38.2% saved)

Iter	Nodes	Cost
0	10	13
1	20	13
2	40	13
3	66	13
4	129	13
5	183	13
6	243	13
7	382	13
8	519	13
9	624	13
10	607	13
11	633	13
12	623	13
13	624	13
14	551	13

Iter	Nodes	Cost
0	10	13
1	20	13
2	40	13
3	66	13
4	129	13
5	183	13
6	243	13
7	382	13
8	519	13
9	624	13
10	607	13
11	633	13
12	623	13
13	624	13
14	551	13

Details

analyze1.4s (22.2%)

sample45.0ms (0.7%)

simplify40.0ms (0.6%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite61.0ms (1%)

series115.0ms (1.9%)

simplify95.0ms (1.5%)

prune43.0ms (0.7%)

localize8.0ms (0.1%)

rewrite171.0ms (2.7%)

series184.0ms (3%)

simplify194.0ms (3.1%)

prune70.0ms (1.1%)

localize11.0ms (0.2%)

rewrite78.0ms (1.2%)

series131.0ms (2.1%)

simplify115.0ms (1.8%)

prune38.0ms (0.6%)

localize12.0ms (0.2%)

rewrite127.0ms (2%)

series417.0ms (6.7%)

simplify130.0ms (2.1%)

prune49.0ms (0.8%)

regimes1.6s (24.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end23.0ms (0.4%)

sample1.1s (18.1%)

Profiling

Iter	Nodes	Cost
0	10	13
1	20	13
2	40	13
3	66	13
4	129	13
5	183	13
6	243	13
7	382	13
8	519	13
9	624	13
10	607	13
11	633	13
12	623	13
13	624	13
14	551	13