Details

analyze1.1s (22.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

737×	`div-sub_binary64`
456×	`distribute-neg-frac_binary64`
352×	`neg-mul-1_binary64`
328×	`sub-neg_binary64`
299×	`distribute-rgt-in_binary64`
297×	`distribute-rgt-neg-in_binary64`
253×	`distribute-lft-in_binary64`
240×	`associate-/l*_binary64`
237×	`distribute-lft-neg-in_binary64`
216×	`cancel-sign-sub-inv_binary64`
190×	`cancel-sign-sub_binary64`
173×	`distribute-rgt-neg-out_binary64`
158×	`distribute-lft-neg-out_binary64`
142×	`times-frac_binary64`
117×	`associate-/r*_binary64`
104×	`neg-sub0_binary64`
90×	`associate--r+_binary64`
87×	`associate-/l/_binary64`
86×	`+-commutative_binary64`
81×	`associate-+l-_binary64`
78×	`unsub-neg_binary64`
65×	`distribute-lft-out--_binary64`
62×	`associate-l/_binary64` `-commutative_binary64`
58×	`associate-*r/_binary64`
56×	`sub0-neg_binary64`
53×	`distribute-neg-in_binary64`
52×	`associate-/r/_binary64`
51×	`associate--r-_binary64`
49×	`associate-+r-_binary64` `associate-+r+_binary64`
44×	`distribute-lft-out_binary64` `associate-r_binary64`
43×	`distribute-frac-neg_binary64`
42×	`associate--l+_binary64`
41×	`associate-+l+_binary64`
36×	`distribute-rgt-out--_binary64`
35×	`associate--l-_binary64`
34×	`associate-l_binary64`
30×	`distribute-neg-out_binary64`
26×	`remove-double-neg_binary64`
22×	`+-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
14×	`--rgt-identity_binary64`
13×	`div0_binary64` `distribute-rgt-out_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`+-lft-identity_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	112	154
2	280	154
3	535	154
4	1129	133
5	2410	112
6	4265	112
7	4937	112
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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	103×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify380.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1775×	`cancel-sign-sub-inv_binary64`
1670×	`distribute-rgt-in_binary64`
1374×	`div-sub_binary64`
1020×	`distribute-lft-in_binary64`
922×	`associate-/r/_binary64`
629×	`associate-/l/_binary64`
562×	`distribute-rgt-neg-in_binary64`
560×	`distribute-neg-frac_binary64`
554×	`sub-neg_binary64`
522×	`neg-mul-1_binary64`
480×	`distribute-rgt-neg-out_binary64`
420×	`distribute-lft-neg-in_binary64`
403×	`neg-sub0_binary64`
347×	`distribute-lft-neg-out_binary64`
345×	`*-commutative_binary64`
297×	`unsub-neg_binary64` `distribute-frac-neg_binary64`
240×	`associate-/l*_binary64`
213×	`associate-*r/_binary64`
208×	`remove-double-neg_binary64`
196×	`times-frac_binary64`
192×	`associate-/r*_binary64`
180×	`distribute-rgt-out--_binary64`
174×	`distribute-rgt-out_binary64`
170×	`+-rgt-identity_binary64`
166×	`distribute-neg-in_binary64`
163×	`associate-*l/_binary64`
159×	`associate-r_binary64`
148×	`associate--r+_binary64`
132×	`mul0-lft_binary64`
128×	`mul0-rgt_binary64` `cancel-sign-sub_binary64`
109×	`+-lft-identity_binary64`
107×	`*-rgt-identity_binary64`
105×	`+-commutative_binary64`
81×	`div0_binary64`
38×	`associate-l_binary64`
37×	`associate--r-_binary64`
33×	`associate-+l-_binary64`
32×	`distribute-neg-out_binary64`
28×	`associate--l+_binary64`
25×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
24×	`mul-1-neg_binary64` `sub0-neg_binary64`
14×	`--rgt-identity_binary64`
13×	`associate--l-_binary64`
12×	`distribute-lft-out--_binary64`
9×	`associate-+r-_binary64`
8×	`associate-+l+_binary64`
7×	`associate-+r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	22
2	58	22
3	107	22
4	215	22
5	408	16
6	773	16
7	1797	16
8	2019	16
9	2150	16
10	2741	16
11	2925	16
12	3026	16
13	4768	16
14	3484	16
15	3538	16
16	3659	16
17	3655	16
18	3662	16
19	3710	16
20	3729	16
21	3730	16
22	3730	16
23	2820	16
24	3364	16
25	3988	16
26	3702	16
27	4800	16

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.2b	(.f64 (.f64 z 3) y)
6.7b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite137.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`div-inv_binary64` `pow-prod-down_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1660 to 1014 computations (38.9% saved)

series110.0ms (2.3%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

38.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
32.0ms	(/.f64 t (.f64 (.f64 z 3) y))
16.0ms	(.f64 (.f64 z 3) y)
16.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1064 to 915 computations (14% saved)

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

410×	`associate-*l/_binary64`
363×	`associate-/l/_binary64`
334×	`associate-*r/_binary64`
329×	`*-commutative_binary64`
312×	`div-sub_binary64`
279×	`distribute-neg-frac_binary64`
149×	`exp-prod_binary64`
138×	`distribute-rgt-neg-in_binary64`
126×	`associate-/r*_binary64`
125×	`distribute-lft-neg-out_binary64`
124×	`times-frac_binary64`
123×	`associate-/r/_binary64`
119×	`sub-neg_binary64`
115×	`cancel-sign-sub-inv_binary64`
112×	`associate-l_binary64`
105×	`associate-/l*_binary64`
98×	`distribute-rgt-neg-out_binary64`
91×	`neg-mul-1_binary64` `neg-sub0_binary64`
86×	`sqr-pow_binary64`
85×	`unsub-neg_binary64`
72×	`associate-r_binary64`
71×	`swap-sqr_binary64`
63×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
60×	`cube-prod_binary64`
53×	`distribute-rgt-in_binary64`
45×	`log-div_binary64` `cube-div_binary64` `distribute-lft-in_binary64`
36×	`+-commutative_binary64`
34×	`exp-sum_binary64`
27×	`exp-diff_binary64`
25×	`distribute-frac-neg_binary64`
23×	`sqr-neg_binary64`
22×	`unpow3_binary64` `associate--r+_binary64`
20×	`*-lft-identity_binary64` `unswap-sqr_binary64` `distribute-neg-in_binary64`
18×	`cube-mult_binary64`
17×	`/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l+_binary64`
14×	`exp-cbrt_binary64`
12×	`*-rgt-identity_binary64`
11×	`exp-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
10×	`cube-unmult_binary64` `associate-+r+_binary64`
9×	`difference-of-squares_binary64`
8×	`associate-+r-_binary64`
7×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
6×	`prod-exp_binary64`
5×	`div0_binary64`
4×	`exp-lft-cube_binary64`
3×	`unpow1/2_binary64` `mul-1-neg_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

121 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1365
1	383	1211
2	1407	1210
3	3572	1209
4	4670	1209
5	5366	1209

prune53.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Error

0.0b

Counts

85 → 7

Compiler

Compiled 946 to 572 computations (39.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.3b	(.f64 (.f64 z y) 3)
6.7b	(/.f64 t (.f64 (.f64 z y) 3))

rewrite118.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`div-inv_binary64` `pow-prod-down_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 t (.f64 (.f64 z y) 3))
5.0ms	(.f64 (.f64 z y) 3)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1660 to 937 computations (43.6% saved)

series107.0ms (2.3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

37.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
31.0ms	(/.f64 t (.f64 (.f64 z y) 3))
16.0ms	(/.f64 y (*.f64 z 3))
16.0ms	(.f64 (.f64 z y) 3)

Compiler

Compiled 1064 to 912 computations (14.3% saved)

simplify124.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

787×	`associate-/l*_binary64`
400×	`associate-*l/_binary64`
342×	`*-commutative_binary64`
317×	`associate-*r/_binary64`
283×	`associate-/l/_binary64`
138×	`exp-prod_binary64`
123×	`associate-l_binary64`
114×	`times-frac_binary64` `associate-/r/_binary64`
113×	`log-div_binary64`
111×	`sub-neg_binary64`
107×	`associate-/r*_binary64`
91×	`sqr-pow_binary64`
87×	`neg-mul-1_binary64`
86×	`neg-sub0_binary64`
77×	`log-prod_binary64`
75×	`associate-r_binary64`
69×	`distribute-rgt-neg-in_binary64`
61×	`unsub-neg_binary64`
60×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
59×	`distribute-neg-frac_binary64`
53×	`cube-div_binary64`
50×	`distribute-rgt-in_binary64`
44×	`unpow3_binary64`
43×	`div-sub_binary64` `distribute-lft-in_binary64`
42×	`cube-prod_binary64`
36×	`distribute-lft-neg-out_binary64`
30×	`/-rgt-identity_binary64`
25×	`exp-sum_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`exp-diff_binary64`
20×	`swap-sqr_binary64`
19×	`associate--r+_binary64`
18×	`+-commutative_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`exp-cbrt_binary64`
15×	`associate-+l+_binary64`
14×	`distribute-neg-in_binary64`
12×	`log-rec_binary64` `cube-mult_binary64`
11×	`*-lft-identity_binary64` `pow-sqr_binary64`
10×	`associate-+l-_binary64`
9×	`distribute-rgt-out_binary64`
8×	`cube-unmult_binary64` `*-rgt-identity_binary64`
7×	`unswap-sqr_binary64` `associate-+r+_binary64`
6×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
5×	`div0_binary64`
4×	`prod-exp_binary64` `difference-of-squares_binary64`
3×	`unpow1/2_binary64` `exp-lft-cube_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

121 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1365
1	402	1213
2	1383	1213
3	4298	1212
4	4778	1212
5	4990	1212
6	4915	1212

prune43.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Error

0.0b

Counts

83 → 6

Compiler

Compiled 816 to 470 computations (42.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.7b	(/.f64 1/3 (*.f64 z y))
6.4b	(.f64 t (/.f64 1/3 (.f64 z y)))

rewrite128.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
7×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `prod-exp_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
4×	`div-inv_binary64`
3×	`associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(.f64 t (/.f64 1/3 (.f64 z y)))
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
4.0ms	(/.f64 1/3 (*.f64 z y))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1815 to 1043 computations (42.5% saved)

series111.0ms (2.3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

38.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
33.0ms	(.f64 t (/.f64 1/3 (.f64 z y)))
18.0ms	(/.f64 y (*.f64 z 3))
17.0ms	(/.f64 1/3 (*.f64 z y))

Compiler

Compiled 1064 to 912 computations (14.3% saved)

simplify108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

677×	`times-frac_binary64`
594×	`associate-*l/_binary64`
460×	`associate-/l*_binary64`
422×	`associate-/r*_binary64`
152×	`associate-/l/_binary64`
124×	`log-div_binary64`
120×	`associate-l_binary64`
96×	`exp-prod_binary64`
90×	`*-commutative_binary64`
89×	`cube-div_binary64`
76×	`associate-r_binary64`
72×	`associate-*r/_binary64`
62×	`log-prod_binary64`
58×	`distribute-rgt-neg-in_binary64` `associate-/r/_binary64`
56×	`div-sub_binary64`
55×	`distribute-neg-frac_binary64`
53×	`cube-prod_binary64`
52×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
48×	`distribute-lft-neg-in_binary64`
44×	`distribute-rgt-in_binary64`
40×	`neg-sub0_binary64`
39×	`distribute-lft-in_binary64`
38×	`neg-mul-1_binary64`
30×	`distribute-lft-neg-out_binary64`
24×	`sqr-pow_binary64`
21×	`exp-sum_binary64`
20×	`unpow3_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
17×	`exp-diff_binary64` `+-commutative_binary64`
16×	`cube-mult_binary64`
14×	`log-rec_binary64`
13×	`exp-cbrt_binary64` `*-lft-identity_binary64`
10×	`*-rgt-identity_binary64`
9×	`distribute-rgt-out_binary64`
8×	`cube-unmult_binary64`
6×	`associate--r+_binary64`
5×	`unswap-sqr_binary64` `associate-+r-_binary64`
4×	`unsub-neg_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64`
3×	`exp-neg_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64` `associate-+l+_binary64`
2×	`rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`log-pow_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `div0_binary64` `pow-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` `pow-base-0_binary64` `unpow2_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-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

128 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1439
1	398	1285
2	1287	1284
3	4557	1284
4	4984	1284
5	4988	1284

prune54.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.0b

Counts

81 → 7

Compiler

Compiled 907 to 524 computations (42.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.4b	(/.f64 1/3 y)
3.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))

rewrite161.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
32×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-l_binary64` `associate-r_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
4×	`unswap-sqr_binary64` `associate-/r*_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 118

Calls

4 calls:

10.0ms	(*.f64 (/.f64 t z) (/.f64 1/3 y))
5.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
4.0ms	(/.f64 y (*.f64 z 3))
3.0ms	(/.f64 1/3 y)

Compiler

Compiled 2507 to 1409 computations (43.8% saved)

series98.0ms (2.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

38.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
33.0ms	(*.f64 (/.f64 t z) (/.f64 1/3 y))
16.0ms	(/.f64 y (*.f64 z 3))
6.0ms	(/.f64 1/3 y)

Compiler

Compiled 974 to 835 computations (14.3% saved)

simplify125.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64`
458×	`times-frac_binary64`
351×	`*-commutative_binary64`
294×	`associate-/l/_binary64`
271×	`associate-/r*_binary64`
148×	`associate-*r/_binary64`
145×	`associate-*l/_binary64`
143×	`associate-/r/_binary64`
129×	`exp-prod_binary64`
114×	`div-sub_binary64`
113×	`sub-neg_binary64`
105×	`associate-l_binary64`
95×	`log-div_binary64` `cube-div_binary64`
92×	`neg-mul-1_binary64`
91×	`neg-sub0_binary64`
84×	`sqr-pow_binary64`
74×	`associate-r_binary64`
73×	`log-prod_binary64`
68×	`unsub-neg_binary64`
66×	`cube-prod_binary64`
58×	`distribute-rgt-neg-in_binary64`
55×	`distribute-neg-frac_binary64`
52×	`cancel-sign-sub-inv_binary64`
48×	`distribute-lft-neg-in_binary64`
41×	`distribute-rgt-in_binary64`
40×	`+-commutative_binary64`
38×	`distribute-lft-in_binary64`
37×	`unpow3_binary64` `/-rgt-identity_binary64`
33×	`cube-mult_binary64`
31×	`exp-sum_binary64`
30×	`distribute-lft-neg-out_binary64`
29×	`exp-diff_binary64`
27×	`unswap-sqr_binary64`
24×	`*-lft-identity_binary64`
23×	`*-rgt-identity_binary64`
20×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
18×	`associate-+l-_binary64`
17×	`log-rec_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
16×	`swap-sqr_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`exp-cbrt_binary64`
11×	`difference-of-squares_binary64`
10×	`+-rgt-identity_binary64`
9×	`cube-unmult_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
7×	`sub0-neg_binary64`
6×	`pow-sqr_binary64` `distribute-neg-in_binary64`
5×	`sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64`
4×	`div0_binary64`
3×	`unpow1/2_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `associate--l+_binary64`
1×	`log-pow_binary64` `unpow1/3_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_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` `pow-base-0_binary64` `unpow2_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-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `*-inverses_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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

154 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	1826
1	534	1672
2	1578	1672
3	4141	1670
4	4708	1670
5	4964	1670

prune64.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Error

0.0b

Counts

99 → 7

Compiler

Compiled 1188 to 630 computations (47% saved)

regimes505.0ms (10.6%)

Accuracy

Total 1.6b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 6584 to 5602 computations (14.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`distribute-neg-frac_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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-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	12	22
1	16	22
2	23	22
3	27	22
4	30	22
5	31	22
6	31	22

end1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

sample1.1s (22.4%)

Algorithm

1×

intervals

Results

364.0ms	8000×	body	128	valid
134.0ms	2957×	body	128	invalid

Compiler

Compiled 155 to 137 computations (11.6% saved)

Details

analyze1.1s (22.6%)

sample30.0ms (0.6%)

simplify380.0ms (8%)

prune8.0ms (0.2%)

localize9.0ms (0.2%)

rewrite137.0ms (2.9%)

series110.0ms (2.3%)

simplify103.0ms (2.2%)

prune53.0ms (1.1%)

localize10.0ms (0.2%)

rewrite118.0ms (2.5%)

series107.0ms (2.3%)

simplify124.0ms (2.6%)

prune43.0ms (0.9%)

localize10.0ms (0.2%)

rewrite128.0ms (2.7%)

series111.0ms (2.3%)

simplify108.0ms (2.3%)

prune54.0ms (1.1%)

localize10.0ms (0.2%)

rewrite161.0ms (3.4%)

series98.0ms (2.1%)

simplify125.0ms (2.6%)

prune64.0ms (1.4%)

regimes505.0ms (10.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (22.4%)

Profiling