Details

analyze499.0ms (16.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

1247×	`unsub-neg_binary64`
738×	`neg-mul-1_binary64`
694×	`neg-sub0_binary64`
665×	`distribute-neg-out_binary64`
568×	`sub-neg_binary64`
480×	`+-commutative_binary64`
403×	`remove-double-neg_binary64`
309×	`distribute-rgt-neg-in_binary64`
303×	`distribute-lft-neg-out_binary64`
251×	`cancel-sign-sub-inv_binary64`
249×	`distribute-rgt-in_binary64`
246×	`associate-+l-_binary64`
216×	`distribute-neg-in_binary64`
200×	`distribute-rgt-neg-out_binary64`
196×	`distribute-rgt-out_binary64`
195×	`associate--l-_binary64`
186×	`distribute-lft-in_binary64`
172×	`associate-+r-_binary64`
133×	`associate-+r+_binary64`
126×	`associate-+l+_binary64`
122×	`associate-l_binary64`
112×	`associate--r-_binary64`
104×	`associate-r_binary64`
83×	`sub0-neg_binary64`
74×	`distribute-lft-out_binary64`
72×	`associate--r+_binary64`
66×	`*-commutative_binary64`
34×	`distribute-rgt-out--_binary64`
30×	`mul0-lft_binary64` `sqr-pow_binary64`
28×	`mul0-rgt_binary64`
21×	`+-lft-identity_binary64`
20×	`+-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
17×	`*-lft-identity_binary64`
9×	`distribute-lft1-in_binary64`
8×	`cube-prod_binary64` `sqr-neg_binary64` `--rgt-identity_binary64`
7×	`*-rgt-identity_binary64` `count-2_binary64`
6×	`swap-sqr_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`cube-unmult_binary64` `cube-neg_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64`
2×	`difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_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-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	40	66
2	90	66
3	201	40
4	484	40
5	1426	40
6	2752	40
7	3907	40
8	4300	40
9	4446	40
10	4451	40
11	4466	40
12	4376	40
13	5194	40
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify156.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

952×	`unsub-neg_binary64`
743×	`sub-neg_binary64`
539×	`distribute-rgt-out_binary64`
467×	`+-commutative_binary64`
464×	`distribute-neg-in_binary64`
353×	`neg-mul-1_binary64`
350×	`distribute-rgt-in_binary64`
349×	`neg-sub0_binary64`
291×	`distribute-lft-neg-out_binary64`
260×	`distribute-lft-out--_binary64`
251×	`cancel-sign-sub-inv_binary64`
243×	`distribute-lft-in_binary64`
242×	`associate-+l-_binary64`
227×	`distribute-rgt-neg-in_binary64`
218×	`distribute-rgt-out--_binary64`
207×	`distribute-rgt-neg-out_binary64`
194×	`remove-double-neg_binary64`
190×	`associate--r+_binary64`
166×	`distribute-neg-out_binary64`
161×	`associate--l+_binary64`
141×	`distribute-lft-out_binary64`
139×	`associate-+r-_binary64`
138×	`distribute-lft-neg-in_binary64`
116×	`unswap-sqr_binary64`
109×	`associate-l_binary64`
101×	`*-commutative_binary64`
100×	`associate-r_binary64`
84×	`sub0-neg_binary64`
72×	`associate--l-_binary64` `associate-+l+_binary64`
70×	`associate-+r+_binary64`
62×	`mul0-rgt_binary64` `mul0-lft_binary64`
42×	`associate--r-_binary64`
36×	`sqr-pow_binary64`
21×	`+-rgt-identity_binary64`
11×	`+-lft-identity_binary64`
10×	`cancel-sign-sub_binary64`
9×	`cube-unmult_binary64` `cube-prod_binary64`
8×	`--rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
6×	`unpow3_binary64` `sqr-neg_binary64` `distribute-lft1-in_binary64`
5×	`pow-plus_binary64` `*-rgt-identity_binary64` `count-2_binary64`
4×	`cube-neg_binary64` `*-lft-identity_binary64`
3×	`unpow2_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `difference-of-squares_binary64`
2×	`unpow1_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `swap-sqr_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` `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` `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-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	25	33
2	55	33
3	116	20
4	263	20
5	631	20
6	1195	20
7	2783	20
8	3808	20
9	4029	20
10	4107	20
11	4146	20
12	4222	20
13	4648	20
14	4915	20

prune4.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.2b	(.f64 (.f64 x.re x.im) 3)

rewrite90.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`associate-l_binary64` `associate-r_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`

Counts

3 → 62

Calls

3 calls:

8.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 1002 to 586 computations (41.5% saved)

series73.0ms (2.4%)

Error

0.1b

Counts

3 → 24

Calls

3 calls:

35.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
18.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
15.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 466 to 413 computations (11.4% saved)

simplify141.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

547×	`*-commutative_binary64`
480×	`exp-prod_binary64`
326×	`cancel-sign-sub-inv_binary64`
323×	`unswap-sqr_binary64`
238×	`sqr-pow_binary64`
237×	`associate-l_binary64` `associate-r_binary64`
211×	`cube-prod_binary64`
184×	`swap-sqr_binary64`
136×	`log-prod_binary64`
113×	`unpow3_binary64`
94×	`difference-of-squares_binary64`
63×	`pow-sqr_binary64`
61×	`unsub-neg_binary64`
54×	`distribute-lft-neg-in_binary64`
53×	`distribute-rgt-neg-in_binary64`
51×	`exp-sum_binary64` `distribute-lft-in_binary64`
50×	`neg-mul-1_binary64` `distribute-rgt-in_binary64`
49×	`neg-sub0_binary64`
43×	`pow-plus_binary64`
35×	`distribute-rgt-out_binary64`
34×	`cube-mult_binary64` `associate-+r+_binary64`
33×	`sub-neg_binary64`
31×	`associate-+l+_binary64`
29×	`distribute-lft-neg-out_binary64`
25×	`+-commutative_binary64`
24×	`times-frac_binary64` `distribute-lft-out_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`distribute-rgt-neg-out_binary64`
14×	`cube-unmult_binary64`
12×	`log-pow_binary64`
11×	`rem-sqrt-square_binary64` `*-rgt-identity_binary64`
10×	`exp-neg_binary64` `associate-/l*_binary64`
8×	`unpow-1_binary64` `exp-lft-cube_binary64` `exp-diff_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `*-lft-identity_binary64`
4×	`prod-exp_binary64`
3×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`rem-square-sqrt_binary64` `distribute-rgt-out--_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

86 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	1271
1	275	1187
2	1158	1169
3	2732	1166
4	4821	1162
5	4976	1162
6	4911	1162

prune41.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Error

0.0b

Counts

58 → 5

Compiler

Compiled 553 to 398 computations (28% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
0.2b	(.f64 x.re (.f64 3 x.im))

rewrite88.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`

Counts

3 → 62

Calls

3 calls:

9.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
5.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 989 to 639 computations (35.4% saved)

series70.0ms (2.3%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

35.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
18.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
14.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 466 to 413 computations (11.4% saved)

simplify114.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

529×	`*-commutative_binary64`
353×	`cancel-sign-sub-inv_binary64`
335×	`exp-prod_binary64`
249×	`associate-r_binary64`
241×	`distribute-rgt-neg-in_binary64`
240×	`unswap-sqr_binary64`
220×	`sqr-pow_binary64`
198×	`swap-sqr_binary64`
196×	`associate-l_binary64`
190×	`cube-prod_binary64`
120×	`log-prod_binary64`
115×	`unpow3_binary64`
94×	`difference-of-squares_binary64`
64×	`unsub-neg_binary64`
53×	`distribute-lft-neg-in_binary64`
51×	`exp-sum_binary64` `distribute-lft-in_binary64`
50×	`neg-mul-1_binary64` `distribute-rgt-in_binary64`
49×	`neg-sub0_binary64` `distribute-rgt-out_binary64`
47×	`pow-sqr_binary64`
38×	`distribute-lft-neg-out_binary64`
35×	`cube-mult_binary64` `sub-neg_binary64`
29×	`+-commutative_binary64`
26×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
23×	`pow-plus_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64` `associate-/l*_binary64`
14×	`cube-unmult_binary64`
12×	`times-frac_binary64`
11×	`rem-sqrt-square_binary64`
10×	`exp-neg_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`log-pow_binary64` `exp-lft-cube_binary64` `exp-diff_binary64`
4×	`associate-+r-_binary64`
3×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
2×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

86 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1265
1	270	1175
2	1096	1163
3	2535	1160
4	4927	1160
5	4914	1160

prune36.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	57	4	61

Error

0.0b

Counts

61 → 4

Compiler

Compiled 543 to 380 computations (30% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
0.2b	(.f64 (.f64 3 x.re) x.im)

rewrite85.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`associate-l_binary64` `associate-r_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`

Counts

3 → 62

Calls

3 calls:

8.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
5.0ms	(.f64 (.f64 3 x.re) x.im)

Compiler

Compiled 1002 to 649 computations (35.2% saved)

series70.0ms (2.3%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

32.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
17.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
16.0ms	(.f64 (.f64 3 x.re) x.im)

Compiler

Compiled 466 to 413 computations (11.4% saved)

simplify114.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

598×	`*-commutative_binary64`
505×	`exp-prod_binary64`
274×	`difference-of-squares_binary64`
272×	`associate-r_binary64`
269×	`unswap-sqr_binary64`
241×	`sqr-pow_binary64` `associate-l_binary64`
237×	`cube-prod_binary64`
174×	`log-prod_binary64`
121×	`unpow3_binary64`
98×	`cancel-sign-sub-inv_binary64`
79×	`distribute-rgt-out_binary64`
72×	`swap-sqr_binary64`
70×	`unsub-neg_binary64`
53×	`distribute-lft-neg-in_binary64`
52×	`distribute-rgt-neg-in_binary64`
51×	`exp-sum_binary64` `pow-sqr_binary64` `distribute-lft-in_binary64`
50×	`neg-mul-1_binary64` `distribute-rgt-in_binary64`
49×	`neg-sub0_binary64`
39×	`cube-mult_binary64` `sub-neg_binary64`
33×	`pow-plus_binary64`
32×	`associate-+l+_binary64`
30×	`associate-+r+_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`+-commutative_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
17×	`distribute-rgt-out--_binary64`
16×	`distribute-rgt-neg-out_binary64`
14×	`cube-unmult_binary64` `distribute-lft-out_binary64`
12×	`times-frac_binary64`
11×	`rem-sqrt-square_binary64`
10×	`exp-lft-cube_binary64` `exp-neg_binary64`
8×	`log-pow_binary64` `exp-diff_binary64` `*-rgt-identity_binary64`
6×	`*-lft-identity_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `associate-+r-_binary64`
4×	`+-rgt-identity_binary64`
3×	`sub0-neg_binary64` `associate-+l-_binary64`
2×	`prod-exp_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `distribute-lft-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

86 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1300
1	279	1187
2	1223	1173
3	2833	1163
4	4860	1158
5	4956	1158

prune32.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Error

0.0b

Counts

59 → 4

Compiler

Compiled 512 to 363 computations (29.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
0.1b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
6.8b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

rewrite82.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64`
4×	`flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-add_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
6.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
6.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
4.0ms	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Compiler

Compiled 2239 to 302 computations (86.5% saved)

series124.0ms (4.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

36.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
33.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
25.0ms	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
18.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

Compiler

Compiled 1154 to 810 computations (29.8% saved)

simplify120.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

411×	`cancel-sign-sub-inv_binary64`
402×	`distribute-rgt-neg-in_binary64`
345×	`unswap-sqr_binary64`
229×	`associate-l_binary64`
193×	`associate-r_binary64`
180×	`distribute-rgt-out_binary64`
122×	`+-commutative_binary64`
116×	`sub-neg_binary64`
115×	`associate-+l+_binary64`
110×	`distribute-lft-out_binary64`
109×	`associate-+r+_binary64`
107×	`sqr-pow_binary64` `*-commutative_binary64`
98×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
96×	`exp-prod_binary64`
95×	`distribute-lft-neg-in_binary64` `distribute-rgt-in_binary64`
92×	`unsub-neg_binary64` `distribute-lft-in_binary64`
70×	`cube-prod_binary64` `swap-sqr_binary64`
63×	`log-prod_binary64`
55×	`difference-of-squares_binary64`
45×	`distribute-lft-neg-out_binary64`
43×	`+-rgt-identity_binary64`
37×	`exp-sum_binary64`
35×	`count-2_binary64`
34×	`+-lft-identity_binary64`
33×	`distribute-rgt-out--_binary64`
25×	`distribute-rgt-neg-out_binary64`
22×	`distribute-lft-out--_binary64`
19×	`unpow3_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
17×	`*-lft-identity_binary64` `mul0-rgt_binary64`
16×	`*-rgt-identity_binary64`
15×	`associate-+l-_binary64`
13×	`exp-diff_binary64` `cube-mult_binary64`
10×	`sub0-neg_binary64` `+-inverses_binary64`
8×	`pow-plus_binary64` `mul0-lft_binary64` `associate--r+_binary64`
6×	`associate--l+_binary64`
5×	`cube-unmult_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `exp-neg_binary64` `times-frac_binary64` `div-sub_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64`
3×	`associate-/l*_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

111 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2698
1	406	2153
2	1527	2082
3	2940	2068
4	4856	2068

prune56.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Error

0.0b

Counts

71 → 5

Compiler

Compiled 1451 to 712 computations (50.9% saved)

regimes238.0ms (7.8%)

Accuracy

Total 0.1b remaining (80%)

Threshold costs 0.1b (80%)

Compiler

Compiled 2670 to 2049 computations (23.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-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` `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	11	20
1	16	20
2	21	20
3	23	20
4	24	20
5	24	20

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample756.0ms (24.8%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
23.0ms	556×	body	128	invalid

Compiler

Compiled 126 to 94 computations (25.4% saved)

Details

analyze499.0ms (16.4%)

sample20.0ms (0.7%)

simplify156.0ms (5.1%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite90.0ms (2.9%)

series73.0ms (2.4%)

simplify141.0ms (4.6%)

prune41.0ms (1.3%)

localize7.0ms (0.2%)

rewrite88.0ms (2.9%)

series70.0ms (2.3%)

simplify114.0ms (3.7%)

prune36.0ms (1.2%)

localize9.0ms (0.3%)

rewrite85.0ms (2.8%)

series70.0ms (2.3%)

simplify114.0ms (3.8%)

prune32.0ms (1%)

localize11.0ms (0.4%)

rewrite82.0ms (2.7%)

series124.0ms (4.1%)

simplify120.0ms (3.9%)

prune56.0ms (1.9%)

regimes238.0ms (7.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample756.0ms (24.8%)

Profiling