Details

analyze284.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

19×	`+-commutative_binary64`
12×	`associate-+l+_binary64` `associate-+r+_binary64`
3×	`*-commutative_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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	37	52
2	60	52
3	60	52
4	60	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	255×	body	128	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
1×	`*-commutative_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` `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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	20	13
3	20	13
4	20	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64` `*-un-lft-identity_binary64`
1×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 242 to 129 computations (46.7% saved)

series40.0ms (1.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

32.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 232 to 207 computations (10.8% saved)

simplify91.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-l_binary64`
472×	`cancel-sign-sub-inv_binary64`
459×	`div-sub_binary64`
429×	`associate--r+_binary64`
330×	`associate--l+_binary64`
271×	`sub-neg_binary64`
267×	`associate-r_binary64` `associate-+l-_binary64`
214×	`distribute-rgt-in_binary64`
203×	`distribute-lft-in_binary64`
181×	`+-commutative_binary64`
162×	`unsub-neg_binary64`
154×	`unswap-sqr_binary64`
139×	`distribute-rgt-out_binary64`
116×	`associate--r-_binary64`
111×	`neg-mul-1_binary64`
102×	`associate-/l_binary64` `-commutative_binary64`
101×	`neg-sub0_binary64`
96×	`associate-*l/_binary64`
94×	`associate-+l+_binary64`
86×	`distribute-neg-in_binary64`
83×	`associate-*r/_binary64`
74×	`distribute-lft-out_binary64`
61×	`associate-+r+_binary64`
59×	`sub0-neg_binary64`
50×	`distribute-rgt-neg-in_binary64` `associate--l-_binary64`
49×	`associate-+r-_binary64`
43×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
38×	`exp-sum_binary64`
33×	`exp-prod_binary64`
32×	`distribute-rgt-out--_binary64`
29×	`distribute-lft-neg-out_binary64`
26×	`times-frac_binary64`
25×	`exp-diff_binary64`
23×	`--rgt-identity_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`cube-prod_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64`
16×	`cube-unmult_binary64`
15×	`pow-sqr_binary64`
14×	`distribute-neg-frac_binary64`
12×	`unpow3_binary64` `pow-plus_binary64` `associate-/r/_binary64`
11×	`associate-/l/_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`prod-exp_binary64` `cube-mult_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64`
4×	`exp-sqrt_binary64` `distribute-neg-out_binary64`
3×	`cube-neg_binary64`
2×	`unpow2_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `swap-sqr_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `/-rgt-identity_binary64` `+-inverses_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `div-exp_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` `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` `-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

32 → 22

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	429
1	113	402
2	295	393
3	1044	393
4	1875	393
5	4090	393
6	4652	393
7	5140	393

prune12.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Compiler

Compiled 209 to 122 computations (41.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x 2) (+.f64 z (*.f64 x y)))
0.0b	(+.f64 z (*.f64 x y))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64` `*-un-lft-identity_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `frac-add_binary64`
1×	`distribute-lft-out_binary64` `associate-+r+_binary64`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+.f64 (/.f64 x 2) (+.f64 z (*.f64 x y)))
3.0ms	(+.f64 z (*.f64 x y))

Compiler

Compiled 502 to 192 computations (61.8% saved)

series64.0ms (3%)

Error

Counts

2 → 36

Calls

2 calls:

33.0ms	(+.f64 (/.f64 x 2) (+.f64 z (*.f64 x y)))
24.0ms	(+.f64 z (*.f64 x y))

Compiler

Compiled 470 to 419 computations (10.9% saved)

simplify97.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

419×	`*-commutative_binary64`
383×	`sub-neg_binary64`
268×	`distribute-rgt-in_binary64`
264×	`+-commutative_binary64`
253×	`distribute-rgt-out_binary64`
236×	`distribute-lft-in_binary64`
232×	`div-sub_binary64`
228×	`associate-l_binary64`
221×	`associate-/l*_binary64`
194×	`associate-r_binary64`
175×	`unsub-neg_binary64`
127×	`distribute-lft-out_binary64`
111×	`times-frac_binary64`
108×	`associate--l+_binary64`
107×	`distribute-rgt-neg-in_binary64`
103×	`distribute-neg-in_binary64`
99×	`associate-*l/_binary64`
96×	`distribute-lft-neg-in_binary64`
92×	`cancel-sign-sub-inv_binary64`
91×	`associate-+l-_binary64`
87×	`neg-mul-1_binary64` `distribute-rgt-out--_binary64`
86×	`neg-sub0_binary64`
84×	`associate-+l+_binary64`
81×	`associate--r+_binary64`
76×	`distribute-rgt-neg-out_binary64`
75×	`associate-/r/_binary64`
74×	`associate-*r/_binary64`
73×	`associate-+r+_binary64`
69×	`distribute-lft-neg-out_binary64` `associate-+r-_binary64`
60×	`unswap-sqr_binary64`
58×	`associate-/l/_binary64`
50×	`sub0-neg_binary64`
46×	`sqr-pow_binary64`
39×	`+-rgt-identity_binary64`
34×	`cancel-sign-sub_binary64`
26×	`exp-prod_binary64`
25×	`distribute-neg-frac_binary64`
23×	`exp-sum_binary64`
21×	`distribute-lft-out--_binary64`
20×	`cube-prod_binary64`
14×	`cube-unmult_binary64`
11×	`associate-/r*_binary64`
10×	`unpow3_binary64` `exp-diff_binary64`
9×	`distribute-neg-out_binary64`
8×	`pow-plus_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
7×	`pow-sqr_binary64`
6×	`cube-mult_binary64` `remove-double-neg_binary64`
5×	`prod-exp_binary64`
4×	`cube-neg_binary64` `associate--r-_binary64`
3×	`sqr-neg_binary64`
2×	`*-lft-identity_binary64` `swap-sqr_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `cube-div_binary64` `div0_binary64` `distribute-frac-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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

63 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	752
1	223	725
2	629	710
3	1978	710
4	3237	706
5	4723	706
6	5329	706

prune17.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 363 to 163 computations (55.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
0.1b	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
38.8b	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))

rewrite73.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64`
14×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`distribute-lft-out_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-unpow_binary64` `sum-log_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

10.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))
9.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
8.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))

Compiler

Compiled 1236 to 744 computations (39.8% saved)

series218.0ms (10%)

Error

Counts

3 → 72

Calls

3 calls:

118.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
38.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
34.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))

Compiler

Compiled 2962 to 2405 computations (18.8% saved)

simplify115.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-rgt-in_binary64`
633×	`distribute-lft-in_binary64`
344×	`unswap-sqr_binary64`
212×	`associate-+r+_binary64`
132×	`associate-+l+_binary64`
117×	`associate-r_binary64`
116×	`distribute-rgt-out_binary64`
112×	`+-commutative_binary64`
107×	`associate-l_binary64`
78×	`sqr-pow_binary64`
73×	`exp-prod_binary64`
54×	`*-commutative_binary64`
49×	`log-prod_binary64` `distribute-lft-out_binary64`
38×	`cancel-sign-sub-inv_binary64`
36×	`cube-prod_binary64`
30×	`swap-sqr_binary64`
23×	`sub-neg_binary64`
20×	`distribute-rgt-neg-in_binary64`
19×	`exp-sum_binary64`
16×	`unpow3_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
15×	`cube-mult_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64` `pow-sqr_binary64`
9×	`log-pow_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64`
8×	`pow-plus_binary64` `rem-cbrt-cube_binary64` `associate--r+_binary64`
5×	`prod-exp_binary64` `cube-unmult_binary64` `unsub-neg_binary64` `distribute-neg-frac_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `distribute-rgt-out--_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `associate-+l-_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-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_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` `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-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

138 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	4405
1	467	4177
2	1718	3868
3	5384	3868

prune32.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 918 to 499 computations (45.6% saved)

regimes401.0ms (18.4%)

Accuracy

Total 0.0b remaining (5.5%)

Threshold costs 0.0b (5.5%)

Compiler

Compiled 1144 to 1190 computations (-4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64 +-commutative_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 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 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	9	13
1	13	13
2	13	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample620.0ms (28.5%)

Algorithm

1×

intervals

Results

243.0ms	7999×	body	128	valid
8.0ms	288×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 52 to 59 computations (-13.5% saved)

Details

analyze284.0ms (13.1%)

sample17.0ms (0.8%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite24.0ms (1.1%)

series40.0ms (1.8%)

simplify91.0ms (4.2%)

prune12.0ms (0.5%)

localize6.0ms (0.3%)

rewrite34.0ms (1.6%)

series64.0ms (3%)

simplify97.0ms (4.5%)

prune17.0ms (0.8%)

localize9.0ms (0.4%)

rewrite73.0ms (3.4%)

series218.0ms (10%)

simplify115.0ms (5.3%)

prune32.0ms (1.5%)

regimes401.0ms (18.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample620.0ms (28.5%)

Profiling