Details

analyze393.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

1294×	`distribute-rgt-in_binary64`
652×	`times-frac_binary64`
616×	`distribute-rgt-neg-in_binary64`
580×	`sub-neg_binary64`
578×	`div-sub_binary64`
484×	`neg-mul-1_binary64`
478×	`neg-sub0_binary64`
390×	`distribute-lft-neg-in_binary64`
344×	`distribute-lft-neg-out_binary64`
326×	`cancel-sign-sub-inv_binary64`
300×	`distribute-rgt-neg-out_binary64`
274×	`associate-/l*_binary64`
248×	`remove-double-neg_binary64`
234×	`distribute-neg-frac_binary64`
220×	`distribute-neg-in_binary64`
206×	`unsub-neg_binary64`
186×	`associate--r+_binary64`
168×	`distribute-frac-neg_binary64`
166×	`*-commutative_binary64`
128×	`distribute-lft-in_binary64`
118×	`sqr-pow_binary64`
116×	`associate-/r*_binary64` `+-commutative_binary64`
110×	`swap-sqr_binary64`
103×	`associate-/l/_binary64`
96×	`associate--l-_binary64`
94×	`associate-+l-_binary64`
86×	`associate-l/_binary64` `associate-l*_binary64`
84×	`associate-r_binary64`
68×	`associate--r-_binary64`
64×	`associate--l+_binary64`
62×	`associate-/r/_binary64`
60×	`associate-+r+_binary64`
54×	`associate-+l+_binary64`
50×	`div0_binary64`
44×	`*-rgt-identity_binary64`
42×	`distribute-rgt-out--_binary64`
40×	`/-rgt-identity_binary64`
39×	`associate-*r/_binary64`
38×	`*-lft-identity_binary64` `associate-+r-_binary64`
34×	`cancel-sign-sub_binary64`
30×	`sub0-neg_binary64`
26×	`--rgt-identity_binary64`
25×	`distribute-rgt-out_binary64`
24×	`distribute-neg-out_binary64`
22×	`cube-div_binary64`
20×	`cube-prod_binary64` `+-lft-identity_binary64` `remove-double-div_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64`
12×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64`
10×	`distribute-lft1-in_binary64`
6×	`distribute-lft-out_binary64`
4×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_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` `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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	68	32
3	133	32
4	442	32
5	1047	32
6	1882	32
7	2334	32
8	2634	32
9	2969	32
10	3232	32
11	3203	32
12	3272	32
13	3445	32
14	3380	32
15	3559	32
16	3688	32
17	3811	32
18	3966	32
19	4149	32
20	4336	32
21	4523	32
22	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify129.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
530×	`unsub-neg_binary64`
520×	`distribute-rgt-in_binary64`
518×	`div-sub_binary64`
438×	`sub-neg_binary64`
424×	`associate-/l*_binary64`
393×	`distribute-lft-in_binary64`
350×	`distribute-rgt-neg-out_binary64`
343×	`distribute-lft-neg-out_binary64`
340×	`unswap-sqr_binary64`
298×	`associate-/l/_binary64`
297×	`neg-mul-1_binary64`
273×	`neg-sub0_binary64`
243×	`cancel-sign-sub-inv_binary64`
214×	`distribute-neg-in_binary64`
208×	`distribute-rgt-neg-in_binary64`
196×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
191×	`associate-/r*_binary64`
136×	`distribute-lft-neg-in_binary64`
122×	`*-commutative_binary64`
105×	`associate-*r/_binary64`
101×	`associate--r-_binary64`
91×	`div0_binary64`
85×	`associate--l-_binary64`
75×	`difference-of-squares_binary64`
72×	`sqr-pow_binary64`
68×	`associate--r+_binary64`
64×	`associate-l_binary64` `associate-+l-_binary64`
62×	`associate-r_binary64`
58×	`mul0-lft_binary64`
57×	`cube-prod_binary64` `mul0-rgt_binary64`
56×	`distribute-neg-out_binary64`
54×	`*-rgt-identity_binary64` `associate-+r-_binary64` `+-commutative_binary64`
51×	`distribute-frac-neg_binary64`
44×	`*-lft-identity_binary64`
41×	`remove-double-neg_binary64`
38×	`associate--l+_binary64`
37×	`distribute-rgt-out--_binary64`
36×	`cancel-sign-sub_binary64`
33×	`swap-sqr_binary64`
29×	`associate-+r+_binary64`
22×	`distribute-rgt-out_binary64`
21×	`associate-+l+_binary64`
20×	`pow-sqr_binary64`
19×	`distribute-lft-out--_binary64`
17×	`pow-plus_binary64` `/-rgt-identity_binary64`
12×	`cube-neg_binary64`
11×	`cube-unmult_binary64`
10×	`sub0-neg_binary64`
9×	`sqr-neg_binary64`
7×	`+-lft-identity_binary64` `distribute-rgt1-in_binary64`
6×	`unpow3_binary64` `--rgt-identity_binary64`
5×	`unpow2_binary64` `+-rgt-identity_binary64`
4×	`distribute-lft1-in_binary64`
3×	`unpow1_binary64` `distribute-lft-out_binary64`
2×	`mul-1-neg_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `cube-mult_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` `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` `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-div_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	16
3	72	16
4	207	16
5	430	16
6	715	16
7	1126	16
8	955	16
9	1077	16
10	1417	16
11	1909	16
12	2195	16
13	3288	16
14	3288	16
15	3681	16
16	4740	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite186.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `associate-/r*_binary64` `sub-neg_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `difference-of-sqr-1_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `diff-log_binary64`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1706 to 1122 computations (34.2% saved)

series127.0ms (3.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

39.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
35.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
25.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
10.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 892 to 692 computations (22.4% saved)

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

413×	`div-sub_binary64`
344×	`associate-*l/_binary64`
336×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
228×	`*-commutative_binary64`
218×	`associate-/r*_binary64`
210×	`associate-/l/_binary64`
202×	`associate-*r/_binary64`
152×	`associate-/r/_binary64`
138×	`associate-l_binary64`
120×	`exp-prod_binary64`
108×	`associate-r_binary64`
82×	`log-prod_binary64` `associate-/l*_binary64`
77×	`exp-sum_binary64`
69×	`cube-prod_binary64`
54×	`log-div_binary64`
53×	`cube-div_binary64` `sub-neg_binary64` `+-commutative_binary64`
40×	`times-frac_binary64`
39×	`exp-diff_binary64`
32×	`associate-+r+_binary64`
30×	`sqr-pow_binary64`
27×	`neg-sub0_binary64` `*-rgt-identity_binary64`
26×	`unsub-neg_binary64` `*-lft-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
22×	`swap-sqr_binary64`
20×	`unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`distribute-neg-frac_binary64`
15×	`distribute-rgt-out_binary64`
14×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
12×	`unpow3_binary64` `distribute-neg-in_binary64`
11×	`/-rgt-identity_binary64`
10×	`exp-neg_binary64` `mul-1-neg_binary64`
9×	`cube-mult_binary64`
8×	`log-rec_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
7×	`cube-unmult_binary64` `associate--r+_binary64`
6×	`associate--l-_binary64`
5×	`pow-plus_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64`
4×	`unpow1/2_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64` `cube-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

141 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1933
1	386	1809
2	1207	1757
3	3726	1752
4	4993	1752

prune95.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Error

0.0b

Counts

120 → 6

Compiler

Compiled 1194 to 544 computations (54.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1) m)

rewrite174.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `flip3-+_binary64` `associate-l/_binary64` `flip-+_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1) m)
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1606 to 1048 computations (34.7% saved)

series130.0ms (3.3%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

42.0ms	(.f64 (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1) m)
34.0ms	(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
23.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
11.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 899 to 695 computations (22.7% saved)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

469×	`div-sub_binary64`
412×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
366×	`associate-*l/_binary64`
241×	`*-commutative_binary64`
226×	`associate-*r/_binary64`
222×	`associate-/r*_binary64`
215×	`associate-/l/_binary64`
154×	`associate-/r/_binary64`
133×	`associate-l_binary64`
123×	`exp-prod_binary64`
107×	`associate-r_binary64`
83×	`log-prod_binary64`
82×	`associate-/l*_binary64`
81×	`exp-sum_binary64`
72×	`cube-prod_binary64`
58×	`+-commutative_binary64`
57×	`sub-neg_binary64`
53×	`log-div_binary64`
52×	`cube-div_binary64`
43×	`exp-diff_binary64`
40×	`times-frac_binary64`
32×	`associate-+l-_binary64`
31×	`unsub-neg_binary64`
30×	`neg-sub0_binary64` `associate-+r-_binary64`
29×	`associate-+l+_binary64` `associate-+r+_binary64`
28×	`sqr-pow_binary64`
27×	`*-rgt-identity_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
26×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
24×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
23×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
20×	`unswap-sqr_binary64` `swap-sqr_binary64`
19×	`associate--l+_binary64`
18×	`distribute-neg-in_binary64`
12×	`unpow3_binary64` `distribute-rgt-out_binary64`
11×	`exp-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64`
9×	`cube-mult_binary64` `associate--r+_binary64`
8×	`log-rec_binary64` `associate--l-_binary64`
7×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
6×	`sqr-neg_binary64` `distribute-lft-out_binary64`
5×	`pow-plus_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
4×	`cube-neg_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `difference-of-sqr--1_binary64` `associate--r-_binary64`
2×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `rem-square-sqrt_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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

134 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1836
1	394	1711
2	1250	1657
3	3967	1652
4	5358	1652

prune75.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Error

0.0b

Counts

117 → 6

Compiler

Compiled 1148 to 516 computations (55.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite180.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l*_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `-commutative_binary64` `associate-l/_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `diff-log_binary64` `sub-neg_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 117

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
9.0ms	(/.f64 (-.f64 1 m) v)
8.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)

Compiler

Compiled 2136 to 1380 computations (35.4% saved)

series140.0ms (3.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

40.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
35.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
25.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
18.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1022 to 783 computations (23.4% saved)

simplify123.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-*l/_binary64`
382×	`div-sub_binary64`
366×	`distribute-rgt-in_binary64`
350×	`distribute-lft-in_binary64`
349×	`associate-*r/_binary64`
331×	`times-frac_binary64`
319×	`associate-/l*_binary64`
140×	`associate-/r*_binary64`
129×	`associate-/l/_binary64`
128×	`associate-l_binary64`
102×	`associate-r_binary64`
92×	`log-prod_binary64`
89×	`exp-prod_binary64` `cube-prod_binary64`
83×	`*-commutative_binary64`
73×	`associate-/r/_binary64`
66×	`log-div_binary64`
62×	`cube-div_binary64`
60×	`exp-sum_binary64`
54×	`distribute-rgt-neg-out_binary64`
52×	`sub-neg_binary64`
49×	`distribute-lft-neg-out_binary64`
35×	`unswap-sqr_binary64`
33×	`+-commutative_binary64`
30×	`sqr-pow_binary64`
29×	`-rgt-identity_binary64` `-lft-identity_binary64`
28×	`neg-sub0_binary64`
24×	`distribute-neg-frac_binary64`
23×	`exp-diff_binary64` `cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`neg-mul-1_binary64`
17×	`sqr-neg_binary64` `distribute-rgt-out_binary64`
16×	`mul-1-neg_binary64`
13×	`unpow3_binary64` `cube-neg_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-in_binary64`
12×	`/-rgt-identity_binary64`
10×	`log-rec_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
9×	`cube-mult_binary64` `unsub-neg_binary64`
8×	`exp-neg_binary64`
6×	`cube-unmult_binary64`
5×	`associate--r+_binary64` `associate-+l+_binary64`
4×	`unpow1/2_binary64` `associate-+r+_binary64`
3×	`distribute-rgt-out--_binary64` `associate--l+_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

165 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2346
1	415	2220
2	1271	2176
3	4377	2164
4	5600	2164

prune73.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Error

Counts

122 → 6

Compiler

Compiled 1208 to 681 computations (43.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
0.2b	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

rewrite76.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--l+_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `-commutative_binary64` `diff-log_binary64`

Counts

2 → 60

Calls

2 calls:

9.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
8.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)

Compiler

Compiled 1173 to 253 computations (78.4% saved)

series82.0ms (2.1%)

Error

Counts

2 → 24

Calls

2 calls:

43.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
29.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

Compiler

Compiled 510 to 394 computations (22.7% saved)

simplify140.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

298×	`associate-/l*_binary64`
289×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
238×	`associate-*l/_binary64`
212×	`cancel-sign-sub-inv_binary64`
201×	`unsub-neg_binary64` `*-commutative_binary64`
178×	`associate-*r/_binary64`
159×	`exp-prod_binary64`
155×	`unswap-sqr_binary64`
143×	`log-prod_binary64`
134×	`div-sub_binary64`
128×	`sub-neg_binary64`
84×	`associate-l_binary64`
79×	`neg-sub0_binary64`
78×	`times-frac_binary64` `associate-/r*_binary64`
77×	`neg-mul-1_binary64`
72×	`log-div_binary64`
68×	`associate-r_binary64`
67×	`sqr-pow_binary64`
60×	`exp-diff_binary64`
56×	`exp-sum_binary64`
55×	`cube-prod_binary64` `+-commutative_binary64`
48×	`unpow3_binary64`
46×	`distribute-rgt-out_binary64`
45×	`difference-of-squares_binary64`
41×	`swap-sqr_binary64`
38×	`*-lft-identity_binary64` `associate-+l+_binary64`
36×	`*-rgt-identity_binary64`
34×	`distribute-lft-neg-out_binary64`
31×	`distribute-rgt-neg-in_binary64` `associate-/r/_binary64`
29×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
28×	`cube-div_binary64`
27×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
26×	`associate-/l/_binary64`
25×	`associate-+r+_binary64`
24×	`distribute-rgt-out--_binary64`
16×	`distribute-rgt1-in_binary64` `associate-+r-_binary64`
15×	`distribute-lft-out_binary64`
14×	`pow-plus_binary64` `sub0-neg_binary64`
12×	`/-rgt-identity_binary64` `+-rgt-identity_binary64`
10×	`log-pow_binary64`
9×	`cube-mult_binary64`
8×	`pow-sqr_binary64`
7×	`cube-unmult_binary64` `associate--l+_binary64`
6×	`log-rec_binary64` `distribute-neg-in_binary64`
5×	`unpow1/2_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64`
4×	`sqr-neg_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
3×	`distribute-lft-out--_binary64`
2×	`cube-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

84 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	1373
1	336	1310
2	1012	1295
3	3290	1280
4	4729	1274
5	4980	1274
6	4916	1274

prune38.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Error

Counts

81 → 6

Compiler

Compiled 769 to 241 computations (68.7% saved)

regimes645.0ms (16.4%)

Accuracy

Total 0.1b remaining (74.7%)

Threshold costs 0.1b (74.7%)

Compiler

Compiled 7667 to 5730 computations (25.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `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` `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-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	10	16
1	17	16
2	20	16
3	22	16
4	23	16
5	22	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample863.0ms (21.9%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
161.0ms	8057×	pre	128	true
2.0ms	57×	body	128	invalid

Compiler

Compiled 96 to 83 computations (13.5% saved)

Details

analyze393.0ms (10%)

sample24.0ms (0.6%)

simplify129.0ms (3.3%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite186.0ms (4.7%)

series127.0ms (3.2%)

simplify105.0ms (2.7%)

prune95.0ms (2.4%)

localize8.0ms (0.2%)

rewrite174.0ms (4.4%)

series130.0ms (3.3%)

simplify99.0ms (2.5%)

prune75.0ms (1.9%)

localize7.0ms (0.2%)

rewrite180.0ms (4.6%)

series140.0ms (3.5%)

simplify123.0ms (3.1%)

prune73.0ms (1.9%)

localize7.0ms (0.2%)

rewrite76.0ms (1.9%)

series82.0ms (2.1%)

simplify140.0ms (3.6%)

prune38.0ms (1%)

regimes645.0ms (16.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample863.0ms (21.9%)

Profiling