Details

analyze644.0ms (10.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

786×	`div-sub_binary64`
707×	`sub-neg_binary64`
532×	`associate-/l*_binary64`
324×	`neg-mul-1_binary64`
302×	`neg-sub0_binary64`
297×	`unsub-neg_binary64`
296×	`cancel-sign-sub-inv_binary64`
275×	`distribute-neg-frac_binary64`
257×	`distribute-rgt-neg-in_binary64`
253×	`distribute-rgt-in_binary64`
243×	`associate-r_binary64`
217×	`associate-/r*_binary64`
215×	`+-commutative_binary64`
207×	`associate-+l-_binary64`
200×	`distribute-neg-out_binary64`
198×	`distribute-frac-neg_binary64`
184×	`distribute-lft-in_binary64`
182×	`distribute-lft-neg-in_binary64`
181×	`distribute-rgt-neg-out_binary64`
172×	`associate-+r-_binary64`
164×	`distribute-lft-neg-out_binary64`
150×	`distribute-lft-out_binary64` `associate--l-_binary64`
130×	`associate-l_binary64`
99×	`*-commutative_binary64`
90×	`distribute-neg-in_binary64`
83×	`associate-/r/_binary64`
59×	`div0_binary64`
57×	`*-lft-identity_binary64`
56×	`mul0-rgt_binary64` `mul0-lft_binary64`
51×	`associate--r+_binary64`
38×	`+-lft-identity_binary64`
33×	`associate--r-_binary64`
32×	`*-rgt-identity_binary64`
27×	`/-rgt-identity_binary64` `sub0-neg_binary64`
26×	`remove-double-neg_binary64` `associate-/l/_binary64`
15×	`distribute-rgt-out_binary64`
12×	`+-rgt-identity_binary64` `associate-+r+_binary64`
11×	`associate-+l+_binary64`
10×	`distribute-rgt-out--_binary64`
8×	`swap-sqr_binary64`
6×	`associate--l+_binary64`
5×	`--rgt-identity_binary64`
4×	`sqr-neg_binary64` `cancel-sign-sub_binary64`
2×	`distribute-lft-out--_binary64`
1×	`1-exp_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` `sqr-abs_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	210
1	90	210
2	182	210
3	302	210
4	680	210
5	974	210
6	1317	210
7	2912	210
8	2833	210
9	3259	210
10	3681	210
11	3935	210
12	4985	210
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
766×	`div-sub_binary64`
654×	`unswap-sqr_binary64`
570×	`unsub-neg_binary64`
551×	`cancel-sign-sub-inv_binary64`
484×	`sub-neg_binary64`
402×	`distribute-rgt-neg-in_binary64`
391×	`associate-/r/_binary64`
335×	`distribute-rgt-in_binary64`
299×	`distribute-lft-in_binary64`
279×	`associate-/l*_binary64`
268×	`neg-sub0_binary64`
241×	`neg-mul-1_binary64` `distribute-frac-neg_binary64`
217×	`distribute-lft-neg-in_binary64`
211×	`distribute-neg-frac_binary64`
187×	`+-commutative_binary64`
168×	`associate-+l-_binary64`
152×	`associate-/r*_binary64`
118×	`distribute-rgt-out--_binary64`
73×	`distribute-lft-neg-out_binary64`
70×	`distribute-rgt-neg-out_binary64`
60×	`swap-sqr_binary64`
53×	`*-commutative_binary64`
52×	`mul0-rgt_binary64`
51×	`mul0-lft_binary64` `associate-r_binary64`
45×	`associate--l-_binary64`
39×	`distribute-neg-in_binary64`
37×	`remove-double-neg_binary64`
34×	`associate-l_binary64`
25×	`--rgt-identity_binary64` `associate--r+_binary64`
24×	`div0_binary64`
22×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
19×	`associate--r-_binary64`
18×	`distribute-rgt-out_binary64`
17×	`+-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`associate-/l/_binary64` `associate-+r-_binary64`
11×	`sub0-neg_binary64` `cancel-sign-sub_binary64`
9×	`*-rgt-identity_binary64`
7×	`mul-1-neg_binary64` `associate-+l+_binary64`
6×	`sqr-neg_binary64` `distribute-neg-out_binary64`
4×	`*-inverses_binary64`
3×	`+-rgt-identity_binary64` `associate-+r+_binary64`
2×	`remove-double-div_binary64` `associate-*l/_binary64`
1×	`1-exp_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` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	25	30
2	45	30
3	71	30
4	134	30
5	188	30
6	248	30
7	387	30
8	535	30
9	652	30
10	699	30
11	2045	30
12	3600	30
13	3070	30
14	3259	30
15	3445	30
16	3850	30
17	5232	30

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

29.4b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.1b	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
28.9b	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite76.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

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` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
3.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Compiler

Compiled 1226 to 166 computations (86.5% saved)

series135.0ms (2.2%)

Error

5.4b

Counts

2 → 48

Calls

2 calls:

82.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
38.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Compiler

Compiled 1218 to 955 computations (21.6% saved)

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

418×	`associate-l_binary64`
347×	`associate-r_binary64`
260×	`cancel-sign-sub-inv_binary64`
259×	`unswap-sqr_binary64`
238×	`div-sub_binary64`
213×	`distribute-rgt-in_binary64`
211×	`distribute-lft-in_binary64`
195×	`associate-*l/_binary64`
153×	`associate-/l*_binary64`
139×	`associate-*r/_binary64`
135×	`*-commutative_binary64`
99×	`sub-neg_binary64`
98×	`associate-/l/_binary64`
87×	`associate-/r*_binary64`
83×	`exp-prod_binary64`
77×	`cube-prod_binary64`
74×	`sqr-pow_binary64`
70×	`times-frac_binary64`
66×	`neg-sub0_binary64`
62×	`associate-/r/_binary64`
61×	`distribute-rgt-neg-in_binary64`
56×	`neg-mul-1_binary64`
55×	`exp-sum_binary64`
50×	`distribute-lft-neg-in_binary64`
48×	`unsub-neg_binary64`
43×	`difference-of-squares_binary64`
37×	`associate-+r+_binary64`
35×	`unpow3_binary64` `associate-+l+_binary64`
32×	`exp-diff_binary64`
30×	`distribute-neg-frac_binary64`
29×	`cube-div_binary64` `+-commutative_binary64`
28×	`swap-sqr_binary64`
22×	`cube-mult_binary64`
21×	`cube-unmult_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
16×	`pow-plus_binary64`
13×	`*-rgt-identity_binary64`
12×	`pow-sqr_binary64` `associate-+r-_binary64`
11×	`+-rgt-identity_binary64` `associate-+l-_binary64`
10×	`/-rgt-identity_binary64` `sub0-neg_binary64`
8×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
7×	`mul-1-neg_binary64` `div0_binary64`
6×	`distribute-neg-in_binary64`
4×	`associate--r+_binary64`
3×	`log-div_binary64` `remove-double-neg_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `cancel-sign-sub_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-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` `distribute-frac-neg_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

92 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	2442
1	308	2279
2	953	2277
3	3368	2277
4	4812	2277
5	4934	2277

prune55.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Error

16.5b

Counts

60 → 7

Compiler

Compiled 1154 to 493 computations (57.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
16.9b	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
30.7b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
30.7b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite140.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

43×	`*-un-lft-identity_binary64`
28×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
8×	`associate-/r*_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_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

4 → 96

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
4.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3179 to 1247 computations (60.8% saved)

series313.0ms (5.2%)

Error

14.0b

Counts

4 → 98

Calls

4 calls:

110.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
53.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
47.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
43.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 4818 to 3337 computations (30.7% saved)

simplify197.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

552×	`times-frac_binary64`
493×	`associate-/l*_binary64`
277×	`associate-/r*_binary64`
227×	`cancel-sign-sub-inv_binary64`
197×	`div-sub_binary64`
158×	`distribute-rgt-neg-in_binary64`
140×	`distribute-lft-neg-in_binary64`
127×	`associate-/l/_binary64`
120×	`associate-/r/_binary64`
112×	`sub-neg_binary64`
104×	`distribute-neg-frac_binary64`
101×	`distribute-rgt-in_binary64`
90×	`associate-r_binary64`
86×	`distribute-lft-in_binary64`
84×	`associate-l_binary64`
75×	`*-commutative_binary64`
61×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`
54×	`unswap-sqr_binary64`
52×	`+-commutative_binary64`
42×	`exp-prod_binary64`
41×	`sqr-pow_binary64`
26×	`distribute-lft-neg-out_binary64`
25×	`cube-prod_binary64` `associate-l/_binary64` `associate-r/_binary64`
21×	`distribute-rgt-out_binary64`
19×	`cube-div_binary64` `associate--l+_binary64` `associate--r+_binary64`
18×	`unpow3_binary64`
17×	`unsub-neg_binary64`
14×	`cube-mult_binary64`
13×	`distribute-neg-in_binary64`
11×	`cube-unmult_binary64` `difference-of-squares_binary64` `associate-+l+_binary64`
10×	`exp-sum_binary64`
9×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
8×	`exp-diff_binary64` `*-rgt-identity_binary64`
6×	`pow-plus_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
4×	`log-div_binary64` `mul-1-neg_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
3×	`+-rgt-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `associate-+l-_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `cancel-sign-sub_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` `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` `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` `sqr-abs_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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

194 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	5346
1	535	5156
2	1652	5144
3	4667	5132
4	5019	5132

prune74.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Error

14.0b

Counts

101 → 8

Compiler

Compiled 1877 to 885 computations (52.9% saved)

localize173.0ms (2.9%)

Local error

Found 4 expressions with local error:

17.5b	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))
17.5b	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))
17.5b	(cbrt.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
19.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))

rewrite193.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Rules

96×	`times-frac_binary64`
89×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
39×	`cbrt-prod_binary64`
36×	`associate-/r*_binary64`
24×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
22×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64`
3×	`div-inv_binary64` `pow1/3_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 139

Calls

4 calls:

26.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))

Compiler

Compiled 6571 to 1743 computations (73.5% saved)

series460.0ms (7.6%)

Error

5.4b

Counts

4 → 87

Calls

4 calls:

100.0ms	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))
100.0ms	(cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))
97.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (cbrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))) (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (cbrt.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
97.0ms	(cbrt.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

Compiler

Compiled 8801 to 5759 computations (34.6% saved)

simplify279.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/r/_binary64`
199×	`distribute-rgt-neg-in_binary64`
198×	`distribute-lft-neg-in_binary64`
191×	`associate-/l*_binary64`
170×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`
162×	`associate-/l/_binary64`
156×	`*-commutative_binary64`
154×	`cancel-sign-sub-inv_binary64`
150×	`associate-r_binary64`
145×	`associate-l_binary64`
139×	`associate-*l/_binary64`
132×	`times-frac_binary64`
119×	`distribute-neg-frac_binary64`
98×	`sub-neg_binary64`
87×	`associate-*r/_binary64`
85×	`associate-/r*_binary64`
67×	`unswap-sqr_binary64`
66×	`neg-sub0_binary64`
65×	`sqr-pow_binary64`
57×	`neg-mul-1_binary64`
41×	`*-rgt-identity_binary64`
40×	`exp-sum_binary64` `div-sub_binary64`
37×	`+-commutative_binary64`
26×	`log-div_binary64`
21×	`exp-prod_binary64`
19×	`unsub-neg_binary64`
18×	`distribute-rgt-out_binary64`
16×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
14×	`distribute-neg-out_binary64` `distribute-neg-in_binary64`
13×	`distribute-rgt-neg-out_binary64`
12×	`distribute-lft-out_binary64`
10×	`unpow1/3_binary64` `cube-prod_binary64` `*-lft-identity_binary64` `pow-sqr_binary64` `associate--r-_binary64`
9×	`unpow3_binary64` `exp-diff_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `swap-sqr_binary64`
6×	`cube-div_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64`
4×	`difference-of-squares_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+r+_binary64`
2×	`rem-3cbrt-lft_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `rem-cube-cbrt_binary64` `div0_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` `pow-base-0_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` `exp-neg_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-cbrt-cube_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` `*-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

226 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	11924
1	838	10560
2	2722	10494
3	4972	10494

prune149.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	199	8	207

Error

14.0b

Counts

207 → 8

Compiler

Compiled 6559 to 2151 computations (67.2% saved)

localize5.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 14.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 +-commutative_binary64

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune1.0ms (0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	3	3
Total	8	8

Error

14.0b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.8s (30.5%)

Accuracy

Total 2.5b remaining (15.9%)

Threshold costs 0b (0%)

Compiler

Compiled 11609 to 7641 computations (34.2% saved)

bsearch58.0ms (1%)

Steps

Iters	Range		Point
8	8.785873069764991e+125	1.508008770464485e+130	1.0308942826624653e+129
9	1.396007842535937e-154	1.4983663923054513e-147	1.0364315669180588e-150
10	-3221302575233803.5	-0.007321814987085672	-27.84020768422239

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_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` `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-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	38	121
1	52	121
2	68	121
3	77	121
4	82	121
5	83	121
6	82	121

end2.0ms (0%)

Compiler: Compiled 63 to 33 computations (47.6% saved)

sample897.0ms (14.9%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
22.0ms	475×	body	128	invalid

Compiler

Compiled 238 to 182 computations (23.5% saved)

Details

analyze644.0ms (10.7%)

sample22.0ms (0.4%)

simplify136.0ms (2.2%)

prune2.0ms (0%)

localize14.0ms (0.2%)

rewrite76.0ms (1.3%)

series135.0ms (2.2%)

simplify135.0ms (2.2%)

prune55.0ms (0.9%)

localize16.0ms (0.3%)

rewrite140.0ms (2.3%)

series313.0ms (5.2%)

simplify197.0ms (3.3%)

prune74.0ms (1.2%)

localize173.0ms (2.9%)

rewrite193.0ms (3.2%)

series460.0ms (7.6%)

simplify279.0ms (4.6%)

prune149.0ms (2.5%)

localize5.0ms (0.1%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune1.0ms (0%)

regimes1.8s (30.5%)

bsearch58.0ms (1%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample897.0ms (14.9%)

Profiling