Details

analyze1.1s (24%)

Algorithm

1×	search
2×	egg-herbie

Rules

883×	`associate-+l-_binary64`
655×	`sub-neg_binary64`
596×	`associate--r-_binary64`
477×	`unsub-neg_binary64`
368×	`distribute-neg-in_binary64`
361×	`neg-sub0_binary64`
351×	`neg-mul-1_binary64`
328×	`associate-r_binary64`
295×	`cancel-sign-sub-inv_binary64`
280×	`distribute-lft-neg-out_binary64`
269×	`+-commutative_binary64`
267×	`distribute-lft-neg-in_binary64`
263×	`distribute-rgt-out--_binary64`
262×	`distribute-rgt-neg-in_binary64`
261×	`associate-+l+_binary64`
233×	`remove-double-neg_binary64`
223×	`associate-+r+_binary64`
222×	`distribute-rgt-out_binary64`
221×	`distribute-rgt-neg-out_binary64`
219×	`*-commutative_binary64`
214×	`associate-+r-_binary64`
211×	`associate--l+_binary64`
170×	`distribute-neg-out_binary64`
163×	`distribute-lft-out--_binary64`
147×	`associate--r+_binary64`
137×	`associate--l-_binary64`
124×	`distribute-lft-out_binary64`
79×	`sub0-neg_binary64`
55×	`+-rgt-identity_binary64`
45×	`*-rgt-identity_binary64`
41×	`distribute-rgt-in_binary64`
32×	`distribute-lft-in_binary64`
28×	`--rgt-identity_binary64`
23×	`*-lft-identity_binary64`
12×	`mul0-rgt_binary64`
11×	`mul0-lft_binary64`
7×	`cancel-sign-sub_binary64`
5×	`mul-1-neg_binary64`
4×	`sqr-neg_binary64` `swap-sqr_binary64`
3×	`+-lft-identity_binary64` `associate-l_binary64`
1×	`1-exp_binary64` `swap-d2-d4`
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` `+-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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	40	133
1	139	112
2	407	91
3	1212	91
4	2605	91
5	3554	91
6	3756	91
7	3656	91
8	3659	91
9	3659	91
10	3928	91
11	3949	91
12	3949	91
13	3949	91
14	5233	91
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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Symmetry

(sort d2 d4)

Compiler

Compiled 16 to 12 computations (25% saved)

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	56×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

235×	`sub-neg_binary64`
222×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
141×	`associate-l_binary64`
140×	`associate-r_binary64`
129×	`associate-+l-_binary64`
125×	`distribute-rgt-out--_binary64`
115×	`associate--r-_binary64`
94×	`distribute-rgt-neg-in_binary64`
92×	`associate--r+_binary64`
87×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
83×	`associate--l+_binary64`
82×	`distribute-rgt-in_binary64`
81×	`distribute-lft-out_binary64`
79×	`distribute-lft-out--_binary64`
78×	`distribute-neg-in_binary64`
75×	`associate-+r-_binary64`
72×	`associate-+r+_binary64` `*-commutative_binary64`
65×	`distribute-lft-in_binary64`
63×	`associate-+l+_binary64`
60×	`cancel-sign-sub_binary64`
58×	`+-commutative_binary64`
54×	`distribute-lft-neg-in_binary64` `associate--l-_binary64`
51×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
38×	`sub0-neg_binary64`
31×	`distribute-neg-out_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64`
28×	`*-lft-identity_binary64`
22×	`remove-double-neg_binary64`
20×	`*-rgt-identity_binary64`
16×	`+-rgt-identity_binary64`
10×	`--rgt-identity_binary64`
6×	`mul-1-neg_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `+-lft-identity_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` `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` `+-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_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: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	31	16
2	82	13
3	215	13
4	504	13
5	1179	13
6	1314	13
7	1123	13
8	1123	13
9	1203	13
10	1139	13
11	1139	13
12	1064	13

prune3.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (-.f64 d2 d3) d1)
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`add-cube-cbrt_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate--l+_binary64`
3×	`associate-l_binary64` `distribute-lft-out_binary64` `diff-log_binary64`
2×	`associate-*r/_binary64` `sub-neg_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l-_binary64`

Counts

2 → 48

Calls

2 calls:

11.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(-.f64 (-.f64 d2 d3) d1)

Compiler

Compiled 690 to 192 computations (72.2% saved)

series99.0ms (2.2%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

54.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
27.0ms	(-.f64 (-.f64 d2 d3) d1)

Compiler

Compiled 753 to 627 computations (16.7% saved)

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Rules

680×	`distribute-rgt-in_binary64`
658×	`distribute-lft-in_binary64`
354×	`exp-sum_binary64`
228×	`unsub-neg_binary64`
220×	`exp-prod_binary64`
183×	`*-commutative_binary64`
170×	`cancel-sign-sub-inv_binary64`
162×	`sub-neg_binary64`
145×	`distribute-neg-in_binary64`
139×	`exp-diff_binary64`
96×	`unswap-sqr_binary64`
85×	`associate-+l+_binary64`
80×	`associate-+r+_binary64`
79×	`associate-l_binary64`
74×	`sqr-pow_binary64`
69×	`neg-mul-1_binary64`
67×	`neg-sub0_binary64`
65×	`associate-r_binary64`
53×	`+-commutative_binary64`
51×	`log-prod_binary64`
47×	`-rgt-identity_binary64` `-lft-identity_binary64`
37×	`associate--r+_binary64`
36×	`associate-+l-_binary64`
35×	`div-sub_binary64` `associate-+r-_binary64`
32×	`swap-sqr_binary64`
30×	`distribute-lft-neg-out_binary64`
26×	`distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_binary64` `associate--l+_binary64`
23×	`cube-prod_binary64`
21×	`+-rgt-identity_binary64`
17×	`distribute-lft-neg-in_binary64`
16×	`sub0-neg_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
12×	`remove-double-neg_binary64` `associate--r-_binary64`
11×	`unpow3_binary64`
10×	`difference-of-squares_binary64`
8×	`times-frac_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
6×	`unpow1/2_binary64` `pow-sqr_binary64`
5×	`cube-unmult_binary64`
4×	`log-pow_binary64` `div-exp_binary64` `cube-mult_binary64` `sqr-neg_binary64` `--rgt-identity_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
2×	`pow-plus_binary64` `exp-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `distribute-lft-out_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` `exp-sqrt_binary64` `rec-exp_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` `/-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

90 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1056
1	293	960
2	894	915
3	3442	915
4	4576	915
5	4928	915

prune33.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Error

Counts

66 → 5

Compiler

Compiled 605 to 194 computations (67.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 d2 (+.f64 d1 d3))
0.0b	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
0.0b	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))

rewrite83.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`*-un-lft-identity_binary64`
20×	`cancel-sign-sub-inv_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64`
8×	`distribute-lft-out_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64`
4×	`distribute-lft-out--_binary64`
3×	`associate-l_binary64`
2×	`sum-log_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `difference-of-squares_binary64` `diff-log_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `associate--r+_binary64`

Counts

3 → 75

Calls

3 calls:

10.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
8.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))
6.0ms	(-.f64 d2 (+.f64 d1 d3))

Compiler

Compiled 1251 to 258 computations (79.4% saved)

series152.0ms (3.4%)

Error

Counts

3 → 60

Calls

3 calls:

67.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))
39.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
26.0ms	(-.f64 d2 (+.f64 d1 d3))

Compiler

Compiled 1238 to 979 computations (20.9% saved)

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

514×	`distribute-rgt-in_binary64`
476×	`distribute-lft-in_binary64`
373×	`unsub-neg_binary64`
293×	`sub-neg_binary64`
255×	`*-commutative_binary64`
242×	`exp-prod_binary64`
209×	`exp-sum_binary64`
132×	`exp-diff_binary64` `neg-mul-1_binary64`
129×	`associate-l_binary64`
119×	`neg-sub0_binary64`
109×	`cancel-sign-sub-inv_binary64`
107×	`associate-r_binary64`
106×	`unswap-sqr_binary64` `associate-+l+_binary64`
98×	`associate-+r+_binary64`
77×	`div-sub_binary64`
75×	`+-commutative_binary64`
73×	`sqr-pow_binary64`
66×	`associate--r+_binary64`
65×	`distribute-lft-out_binary64`
62×	`distribute-rgt-neg-in_binary64`
51×	`*-lft-identity_binary64` `distribute-rgt-out_binary64`
45×	`distribute-lft-neg-in_binary64`
44×	`*-rgt-identity_binary64` `associate-+l-_binary64`
42×	`cube-prod_binary64`
34×	`times-frac_binary64`
33×	`associate--l+_binary64` `associate-+r-_binary64`
32×	`distribute-lft-neg-out_binary64`
30×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
29×	`distribute-neg-in_binary64`
27×	`distribute-rgt-out--_binary64`
22×	`+-rgt-identity_binary64`
20×	`sub0-neg_binary64`
19×	`log-prod_binary64`
18×	`remove-double-neg_binary64` `difference-of-squares_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
13×	`associate--r-_binary64`
12×	`unpow3_binary64`
11×	`sqr-neg_binary64` `pow-sqr_binary64`
8×	`exp-neg_binary64`
7×	`cube-neg_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64`
5×	`mul-1-neg_binary64`
4×	`unpow1/2_binary64`
3×	`log-pow_binary64` `div-exp_binary64`
2×	`prod-exp_binary64` `distribute-neg-out_binary64` `associate-/r*_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

135 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1544
1	325	1421
2	1007	1418
3	3688	1416
4	4388	1416
5	4967	1416

prune54.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 971 to 270 computations (72.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d4 d2) d1)
0.0b	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)
0.0b	(+.f64 (.f64 (+.f64 d4 d2) d1) (.f64 (neg.f64 (+.f64 d1 d3)) d1))

rewrite83.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`associate-l_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
9×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`distribute-neg-frac_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
3×	`distribute-lft-out_binary64`
2×	`distribute-lft-neg-out_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64` `neg-mul-1_binary64`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)
7.0ms	(+.f64 (.f64 (+.f64 d4 d2) d1) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
6.0ms	(*.f64 (+.f64 d4 d2) d1)

Compiler

Compiled 1324 to 273 computations (79.4% saved)

series137.0ms (3%)

Error

Counts

3 → 51

Calls

3 calls:

68.0ms	(+.f64 (.f64 (+.f64 d4 d2) d1) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
28.0ms	(*.f64 (+.f64 d4 d2) d1)
26.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)

Compiler

Compiled 1131 to 884 computations (21.8% saved)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

617×	`unsub-neg_binary64`
476×	`*-commutative_binary64`
321×	`sub-neg_binary64`
310×	`neg-sub0_binary64`
302×	`neg-mul-1_binary64`
200×	`associate-+l+_binary64`
196×	`distribute-lft-neg-out_binary64`
187×	`associate-+r+_binary64`
177×	`distribute-rgt-neg-out_binary64`
163×	`associate-l_binary64`
140×	`associate-r_binary64`
126×	`cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
113×	`distribute-lft-in_binary64`
104×	`exp-sum_binary64`
103×	`distribute-rgt-neg-in_binary64`
91×	`distribute-rgt-out_binary64`
89×	`associate--r+_binary64`
88×	`exp-prod_binary64`
77×	`distribute-lft-neg-in_binary64`
68×	`exp-diff_binary64`
64×	`associate-+l-_binary64`
63×	`distribute-lft-out_binary64`
59×	`associate--l+_binary64`
56×	`cube-prod_binary64`
51×	`log-prod_binary64`
48×	`distribute-neg-in_binary64`
47×	`unswap-sqr_binary64` `associate-+r-_binary64`
41×	`sqr-pow_binary64`
40×	`distribute-rgt-out--_binary64`
29×	`associate--r-_binary64`
19×	`div-sub_binary64`
13×	`unpow3_binary64` `swap-sqr_binary64` `associate--l-_binary64`
12×	`-rgt-identity_binary64` `-lft-identity_binary64`
11×	`remove-double-neg_binary64`
10×	`sqr-neg_binary64` `distribute-lft-out--_binary64`
8×	`cube-mult_binary64` `times-frac_binary64`
7×	`cube-neg_binary64`
5×	`difference-of-squares_binary64` `distribute-neg-out_binary64`
4×	`cube-unmult_binary64` `+-rgt-identity_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `cancel-sign-sub_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `mul-1-neg_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `--rgt-identity_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` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_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-square-sqrt_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

119 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1638
1	448	1493
2	1654	1463
3	3627	1458
4	5006	1458

prune53.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1108 to 297 computations (73.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 d4 d2)) (cbrt.f64 (+.f64 d4 d2)))
0.6b	(cbrt.f64 (+.f64 d4 d2))
0.6b	(cbrt.f64 (+.f64 d4 d2))
0.6b	(cbrt.f64 (+.f64 d2 d4))

rewrite94.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `swap-sqr_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 d4 d2)) (cbrt.f64 (+.f64 d4 d2)))
3.0ms	(cbrt.f64 (+.f64 d2 d4))
3.0ms	(cbrt.f64 (+.f64 d4 d2))
3.0ms	(cbrt.f64 (+.f64 d4 d2))

Compiler

Compiled 2565 to 456 computations (82.2% saved)

series161.0ms (3.5%)

Error

Counts

4 → 42

Calls

4 calls:

37.0ms	(*.f64 (cbrt.f64 (+.f64 d4 d2)) (cbrt.f64 (+.f64 d4 d2)))
34.0ms	(cbrt.f64 (+.f64 d4 d2))
34.0ms	(cbrt.f64 (+.f64 d4 d2))
31.0ms	(cbrt.f64 (+.f64 d2 d4))

Compiler

Compiled 3112 to 2155 computations (30.8% saved)

simplify226.0ms (5%)

Algorithm

1×	egg-herbie

Rules

340×	`associate-l_binary64`
279×	`unswap-sqr_binary64`
258×	`associate-r_binary64`
239×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
192×	`sqr-pow_binary64`
166×	`log-prod_binary64`
163×	`sub-neg_binary64`
153×	`exp-sum_binary64`
141×	`unsub-neg_binary64`
137×	`exp-prod_binary64`
131×	`*-commutative_binary64`
105×	`neg-mul-1_binary64`
103×	`neg-sub0_binary64`
102×	`cancel-sign-sub-inv_binary64`
92×	`distribute-rgt-out_binary64`
81×	`distribute-lft-out_binary64`
80×	`associate-+r+_binary64`
75×	`associate-+l+_binary64`
73×	`log-pow_binary64`
64×	`distribute-rgt-neg-in_binary64`
62×	`log-div_binary64`
59×	`exp-diff_binary64`
58×	`distribute-lft-neg-in_binary64`
57×	`unpow3_binary64`
52×	`cube-prod_binary64` `*-lft-identity_binary64`
51×	`*-rgt-identity_binary64`
49×	`pow-plus_binary64` `+-commutative_binary64`
46×	`div-sub_binary64`
45×	`pow-sqr_binary64`
41×	`+-lft-identity_binary64`
40×	`associate--r+_binary64`
38×	`prod-exp_binary64`
33×	`associate-+l-_binary64`
32×	`cube-div_binary64`
31×	`cube-unmult_binary64` `sub0-neg_binary64`
29×	`exp-to-pow_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
26×	`swap-sqr_binary64`
24×	`distribute-lft-neg-out_binary64`
20×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
17×	`unpow1/3_binary64`
16×	`rem-sqrt-square_binary64`
14×	`difference-of-squares_binary64`
13×	`+-rgt-identity_binary64` `associate-/l/_binary64` `associate-/l*_binary64`
12×	`log-rec_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64`
9×	`rem-exp-log_binary64`
8×	`unpow1/2_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
7×	`associate-*r/_binary64`
6×	`unpow2_binary64` `rec-exp_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `count-2_binary64`
5×	`unpow1_binary64` `times-frac_binary64`
4×	`div-exp_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--l+_binary64`
3×	`rem-3cbrt-lft_binary64`
2×	`unpow-1_binary64` `remove-double-div_binary64` `associate--l-_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

137 → 101

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	147	2011
1	277	2001
2	568	1928
3	1670	1908
4	3830	1740
5	4608	1740
6	4899	1740
7	4982	1740
8	5000	1740
9	4890	1740

prune44.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Error

Counts

105 → 4

Compiler

Compiled 1458 to 359 computations (75.4% saved)

regimes742.0ms (16.4%)

Accuracy

Total 0.0b remaining (55.9%)

Threshold costs 0.0b (55.9%)

Compiler

Compiled 7971 to 5822 computations (27% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`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	9	13
1	15	13
2	23	13
3	27	13
4	29	13
5	29	13

end7.0ms (0.2%)

Remove: (sort d2 d4)
Compiler: Compiled 27 to 24 computations (11.1% saved)

sample972.0ms (21.4%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
92.0ms	2305×	body	128	invalid

Compiler

Compiled 117 to 99 computations (15.4% saved)

Details

analyze1.1s (24%)

sample32.0ms (0.7%)

simplify81.0ms (1.8%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite57.0ms (1.3%)

series99.0ms (2.2%)

simplify92.0ms (2%)

prune33.0ms (0.7%)

localize10.0ms (0.2%)

rewrite83.0ms (1.8%)

series152.0ms (3.4%)

simplify115.0ms (2.5%)

prune54.0ms (1.2%)

localize8.0ms (0.2%)

rewrite83.0ms (1.8%)

series137.0ms (3%)

simplify88.0ms (1.9%)

prune53.0ms (1.2%)

localize15.0ms (0.3%)

rewrite94.0ms (2.1%)

series161.0ms (3.5%)

simplify226.0ms (5%)

prune44.0ms (1%)

regimes742.0ms (16.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end7.0ms (0.2%)

sample972.0ms (21.4%)

Profiling