Details

analyze171.0ms (19.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

775×	`unsub-neg_binary64`
626×	`distribute-rgt-out--_binary64`
537×	`distribute-rgt-out_binary64`
444×	`distribute-neg-in_binary64`
428×	`sub-neg_binary64`
273×	`distribute-rgt-neg-in_binary64`
270×	`distribute-lft-neg-out_binary64`
253×	`+-commutative_binary64`
242×	`neg-sub0_binary64`
214×	`cancel-sign-sub-inv_binary64`
200×	`associate-+l+_binary64`
197×	`distribute-lft-out_binary64`
192×	`neg-mul-1_binary64`
153×	`distribute-neg-out_binary64`
149×	`distribute-rgt1-in_binary64`
144×	`*-commutative_binary64`
142×	`distribute-lft-neg-in_binary64`
134×	`associate--l+_binary64`
132×	`associate-+l-_binary64`
130×	`associate-+r+_binary64`
122×	`distribute-rgt-neg-out_binary64`
118×	`associate--r+_binary64`
103×	`remove-double-neg_binary64`
102×	`distribute-rgt-in_binary64`
81×	`associate-+r-_binary64`
79×	`associate-l_binary64`
69×	`distribute-lft-out--_binary64`
67×	`distribute-lft-in_binary64`
60×	`distribute-lft1-in_binary64`
52×	`associate--l-_binary64`
44×	`associate--r-_binary64`
42×	`associate-r_binary64`
31×	`*-rgt-identity_binary64`
25×	`sub0-neg_binary64`
23×	`*-lft-identity_binary64`
13×	`mul-1-neg_binary64`
9×	`+-rgt-identity_binary64`
6×	`mul0-rgt_binary64` `swap-sqr_binary64`
5×	`mul0-lft_binary64`
4×	`cancel-sign-sub_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64`
1×	`1-exp_binary64` `+-inverses_binary64` `difference-of-sqr-1_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` `div-sub_binary64` `/-rgt-identity_binary64` `div0_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-squares_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	13	7
2	17	7
3	32	7
4	53	7
5	90	7
6	181	7
7	356	7
8	1229	7
9	1578	7
10	2287	7
11	2645	7
12	2815	7
13	2950	7
14	3031	7
15	3342	7
16	3786	7
17	4682	7
18	4891	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (1.2%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify152.0ms (17.4%)

Algorithm

1×	egg-herbie

Rules

775×	`unsub-neg_binary64`
626×	`distribute-rgt-out--_binary64`
537×	`distribute-rgt-out_binary64`
444×	`distribute-neg-in_binary64`
428×	`sub-neg_binary64`
273×	`distribute-rgt-neg-in_binary64`
270×	`distribute-lft-neg-out_binary64`
253×	`+-commutative_binary64`
242×	`neg-sub0_binary64`
214×	`cancel-sign-sub-inv_binary64`
200×	`associate-+l+_binary64`
197×	`distribute-lft-out_binary64`
192×	`neg-mul-1_binary64`
153×	`distribute-neg-out_binary64`
149×	`distribute-rgt1-in_binary64`
144×	`*-commutative_binary64`
142×	`distribute-lft-neg-in_binary64`
134×	`associate--l+_binary64`
132×	`associate-+l-_binary64`
130×	`associate-+r+_binary64`
122×	`distribute-rgt-neg-out_binary64`
118×	`associate--r+_binary64`
103×	`remove-double-neg_binary64`
102×	`distribute-rgt-in_binary64`
81×	`associate-+r-_binary64`
79×	`associate-l_binary64`
69×	`distribute-lft-out--_binary64`
67×	`distribute-lft-in_binary64`
60×	`distribute-lft1-in_binary64`
52×	`associate--l-_binary64`
44×	`associate--r-_binary64`
42×	`associate-r_binary64`
31×	`*-rgt-identity_binary64`
25×	`sub0-neg_binary64`
23×	`*-lft-identity_binary64`
13×	`mul-1-neg_binary64`
9×	`+-rgt-identity_binary64`
6×	`mul0-rgt_binary64` `swap-sqr_binary64`
5×	`mul0-lft_binary64`
4×	`cancel-sign-sub_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64`
1×	`1-exp_binary64` `+-inverses_binary64` `difference-of-sqr-1_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` `div-sub_binary64` `/-rgt-identity_binary64` `div0_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-squares_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	13	7
2	17	7
3	32	7
4	53	7
5	90	7
6	181	7
7	356	7
8	1229	7
9	1578	7
10	2287	7
11	2645	7
12	2815	7
13	2950	7
14	3031	7
15	3342	7
16	3786	7
17	4682	7
18	4891	7

prune1.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)

rewrite15.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-sqr-1_binary64`

Counts

1 → 17

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) 1)

Compiler

Compiled 184 to 109 computations (40.8% saved)

series12.0ms (1.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

9.0ms

(-.f64 (*.f64 x x) 1)

Compiler

Compiled 46 to 46 computations (0% saved)

simplify93.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

522×	`distribute-rgt-in_binary64`
505×	`unswap-sqr_binary64`
491×	`distribute-lft-in_binary64`
487×	`associate-l_binary64`
334×	`associate-r_binary64`
261×	`exp-prod_binary64`
181×	`distribute-neg-in_binary64`
133×	`associate--r+_binary64`
126×	`unsub-neg_binary64`
123×	`distribute-rgt-neg-out_binary64`
116×	`distribute-lft-neg-out_binary64`
78×	`exp-sum_binary64` `distribute-rgt-neg-in_binary64` `*-commutative_binary64`
77×	`associate-+r+_binary64`
70×	`log-prod_binary64` `sqr-pow_binary64`
68×	`distribute-lft-neg-in_binary64`
65×	`associate-+l+_binary64`
63×	`associate-/l*_binary64` `associate-+l-_binary64`
51×	`cube-prod_binary64`
43×	`cancel-sign-sub-inv_binary64`
40×	`associate--l+_binary64`
38×	`exp-diff_binary64`
36×	`associate-/r*_binary64`
35×	`pow-plus_binary64`
33×	`mul-1-neg_binary64`
30×	`unpow3_binary64`
28×	`swap-sqr_binary64`
27×	`distribute-rgt-out_binary64`
26×	`sub-neg_binary64`
23×	`neg-sub0_binary64` `distribute-rgt1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
21×	`+-commutative_binary64`
20×	`associate-*r/_binary64`
19×	`*-lft-identity_binary64`
17×	`*-rgt-identity_binary64` `pow-sqr_binary64`
15×	`distribute-lft1-in_binary64`
14×	`distribute-lft-out_binary64`
12×	`exp-neg_binary64`
10×	`difference-of-sqr-1_binary64`
9×	`cube-unmult_binary64` `difference-of-sqr--1_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`neg-mul-1_binary64` `distribute-neg-out_binary64`
6×	`unpow1/2_binary64`
5×	`cube-mult_binary64` `rem-sqrt-square_binary64` `times-frac_binary64` `associate-*l/_binary64`
4×	`exp-sqrt_binary64` `distribute-lft-out--_binary64`
3×	`associate-+r-_binary64`
2×	`exp-lft-sqr_binary64` `prod-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div-sub_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-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-pow_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-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

23 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	206
1	81	176
2	193	176
3	590	176
4	2178	176
5	4696	176
6	4969	176
7	4996	176

prune7.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	1	21

Error

0.0b

Counts

21 → 1

Compiler

Compiled 101 to 59 computations (41.6% saved)

regimes29.0ms (3.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 63 to 65 computations (-3.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_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 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_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 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	11	7
3	9	7

end1.0ms (0.1%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample372.0ms (42.8%)

Algorithm

1×

intervals

Results

136.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

Details

analyze171.0ms (19.7%)

sample10.0ms (1.2%)

simplify152.0ms (17.4%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite15.0ms (1.7%)

series12.0ms (1.4%)

simplify93.0ms (10.7%)

prune7.0ms (0.8%)

regimes29.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end1.0ms (0.1%)

sample372.0ms (42.8%)

Profiling