Details

analyze709.0ms (14.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1227×	`div-sub_binary64`
708×	`sub-neg_binary64`
619×	`neg-mul-1_binary64`
518×	`cancel-sign-sub-inv_binary64`
510×	`neg-sub0_binary64`
482×	`unsub-neg_binary64`
370×	`distribute-neg-frac_binary64`
339×	`distribute-rgt-in_binary64`
294×	`distribute-frac-neg_binary64`
268×	`distribute-rgt-neg-out_binary64`
257×	`associate-/l*_binary64`
232×	`distribute-lft-in_binary64`
227×	`remove-double-neg_binary64`
187×	`distribute-rgt-neg-in_binary64`
183×	`distribute-neg-in_binary64`
174×	`times-frac_binary64`
170×	`distribute-lft-neg-out_binary64`
167×	`+-commutative_binary64`
163×	`+-lft-identity_binary64`
148×	`distribute-lft-neg-in_binary64`
137×	`associate-/r*_binary64`
111×	`*-lft-identity_binary64`
88×	`associate-+r-_binary64`
79×	`*-commutative_binary64`
77×	`associate--r+_binary64`
70×	`associate-r_binary64`
65×	`associate-/r/_binary64`
64×	`cancel-sign-sub_binary64`
58×	`mul0-lft_binary64`
57×	`associate--r-_binary64`
56×	`mul0-rgt_binary64`
50×	`associate-+l-_binary64`
47×	`associate-*l/_binary64`
46×	`associate-l_binary64`
44×	`distribute-rgt-out--_binary64`
43×	`div0_binary64`
42×	`*-rgt-identity_binary64`
40×	`distribute-neg-out_binary64`
38×	`associate-*r/_binary64`
30×	`sub0-neg_binary64`
16×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
13×	`+-rgt-identity_binary64`
12×	`distribute-lft-out--_binary64`
11×	`associate-+l+_binary64`
9×	`--rgt-identity_binary64` `distribute-lft-out_binary64`
8×	`*-inverses_binary64`
7×	`associate--l+_binary64`
6×	`distribute-rgt1-in_binary64`
3×	`/-rgt-identity_binary64`
2×	`remove-double-div_binary64`
1×	`1-exp_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	82	91
2	135	91
3	334	91
4	634	91
5	1497	91
6	3440	91
7	3911	91
8	4338	91
9	4556	91
10	4602	91
11	4684	91
12	5214	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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify278.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

990×	`div-sub_binary64`
927×	`distribute-rgt-in_binary64`
872×	`distribute-lft-in_binary64`
760×	`sub-neg_binary64`
615×	`times-frac_binary64`
346×	`distribute-neg-frac_binary64`
343×	`neg-mul-1_binary64`
334×	`associate-/l*_binary64`
328×	`*-commutative_binary64`
325×	`neg-sub0_binary64`
307×	`distribute-rgt-neg-in_binary64`
305×	`cancel-sign-sub-inv_binary64`
304×	`unsub-neg_binary64`
287×	`associate-/r*_binary64`
264×	`distribute-rgt-neg-out_binary64`
223×	`distribute-lft-neg-out_binary64`
199×	`associate--r+_binary64`
194×	`associate-/r/_binary64`
189×	`distribute-lft-neg-in_binary64`
177×	`associate-*l/_binary64`
176×	`associate-/l/_binary64`
169×	`distribute-frac-neg_binary64`
158×	`associate-r_binary64`
151×	`associate-*r/_binary64`
123×	`remove-double-neg_binary64`
118×	`cancel-sign-sub_binary64`
112×	`associate--r-_binary64`
104×	`-lft-identity_binary64` `associate-l*_binary64`
93×	`+-commutative_binary64`
66×	`associate-+l+_binary64` `associate-+r+_binary64`
62×	`distribute-rgt-out--_binary64`
59×	`div0_binary64`
58×	`distribute-neg-in_binary64`
55×	`associate--l+_binary64`
49×	`+-rgt-identity_binary64`
48×	`associate-+r-_binary64`
45×	`distribute-rgt-out_binary64`
42×	`distribute-neg-out_binary64`
35×	`associate--l-_binary64`
31×	`--rgt-identity_binary64` `associate-+l-_binary64`
30×	`distribute-lft-out--_binary64`
27×	`mul0-rgt_binary64`
24×	`/-rgt-identity_binary64`
22×	`*-rgt-identity_binary64` `sub0-neg_binary64` `mul0-lft_binary64`
19×	`distribute-lft-out_binary64`
12×	`remove-double-div_binary64`
11×	`+-lft-identity_binary64`
2×	`mul-1-neg_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `+-inverses_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-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	29	13
3	65	13
4	125	13
5	226	13
6	498	13
7	1250	13
8	2587	13
9	2757	13
10	3143	13
11	3198	13
12	3212	13
13	3275	13
14	3697	13
15	3441	13
16	3665	13
17	3657	13
18	3693	13
19	3693	13
20	3729	13
21	3729	13
22	5412	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.0b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.9b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite101.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

2 → 102

Calls

2 calls:

14.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1538 to 306 computations (80.1% saved)

series184.0ms (3.8%)

Error

0.1b

Counts

2 → 57

Calls

2 calls:

83.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
59.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 2569 to 1705 computations (33.6% saved)

simplify139.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

792×	`times-frac_binary64`
414×	`cancel-sign-sub-inv_binary64`
334×	`distribute-rgt-in_binary64`
298×	`sub-neg_binary64`
218×	`div-sub_binary64`
131×	`associate--l+_binary64`
123×	`+-commutative_binary64`
122×	`associate-/l*_binary64`
103×	`associate--r+_binary64`
92×	`distribute-neg-in_binary64`
87×	`*-commutative_binary64`
82×	`associate-+l+_binary64`
72×	`associate-l_binary64`
69×	`distribute-neg-frac_binary64`
68×	`neg-sub0_binary64`
66×	`associate-l/_binary64` `associate-r*_binary64`
65×	`associate-/r*_binary64`
62×	`neg-mul-1_binary64` `unsub-neg_binary64`
56×	`distribute-rgt-neg-in_binary64`
55×	`associate-+r+_binary64`
54×	`distribute-lft-neg-in_binary64`
42×	`associate-*r/_binary64`
35×	`associate-/r/_binary64`
34×	`distribute-lft-in_binary64`
33×	`distribute-lft-out_binary64`
29×	`associate-/l/_binary64`
27×	`cube-prod_binary64`
25×	`sqr-pow_binary64`
24×	`distribute-rgt-out_binary64`
23×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`log-prod_binary64`
17×	`*-rgt-identity_binary64`
14×	`log-div_binary64` `exp-sum_binary64` `unswap-sqr_binary64`
12×	`cube-div_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
8×	`unpow3_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64`
6×	`cube-mult_binary64` `mul-1-neg_binary64`
4×	`exp-diff_binary64` `exp-neg_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
3×	`unpow1/2_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_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-pow_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

159 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3748
1	740	3604
2	2382	3208
3	4883	3208
4	5247	3208

prune73.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Error

Counts

110 → 8

Compiler

Compiled 1626 to 475 computations (70.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
11.2b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite84.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-l_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 83

Calls

2 calls:

14.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
5.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1309 to 283 computations (78.4% saved)

series145.0ms (3%)

Error

Counts

2 → 51

Calls

2 calls:

82.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
38.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 2001 to 1333 computations (33.4% saved)

simplify120.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

686×	`times-frac_binary64`
331×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`
280×	`cancel-sign-sub-inv_binary64`
158×	`sub-neg_binary64`
150×	`div-sub_binary64`
127×	`associate-/l*_binary64`
103×	`associate-l_binary64`
95×	`associate-r_binary64`
80×	`+-commutative_binary64`
77×	`*-commutative_binary64`
76×	`distribute-neg-in_binary64`
66×	`associate-/r*_binary64`
64×	`associate--l+_binary64`
62×	`associate-*r/_binary64`
57×	`distribute-rgt-neg-in_binary64`
55×	`distribute-lft-neg-in_binary64`
54×	`-rgt-identity_binary64` `distribute-neg-frac_binary64` `associate-l/_binary64`
53×	`associate-/l/_binary64`
51×	`associate--r+_binary64`
48×	`associate-+l+_binary64`
46×	`neg-sub0_binary64`
41×	`neg-mul-1_binary64`
40×	`unsub-neg_binary64`
37×	`associate-+r+_binary64`
33×	`distribute-lft-out_binary64` `associate-/r/_binary64`
32×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
30×	`exp-prod_binary64`
28×	`cube-prod_binary64` `sqr-pow_binary64`
23×	`*-lft-identity_binary64`
22×	`log-prod_binary64`
18×	`distribute-rgt-out_binary64`
14×	`exp-sum_binary64`
13×	`log-div_binary64`
11×	`cube-div_binary64`
10×	`/-rgt-identity_binary64`
9×	`cube-unmult_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64`
8×	`unpow3_binary64`
7×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`exp-diff_binary64` `mul-1-neg_binary64`
5×	`cube-mult_binary64`
4×	`swap-sqr_binary64`
3×	`unpow1/2_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_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` `log-pow_binary64` `log-rec_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

134 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2873
1	566	2762
2	2170	2447
3	4755	2447
4	5082	2447

prune44.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Error

Counts

94 → 5

Compiler

Compiled 1026 to 273 computations (73.4% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 t x) (-.f64 z y)) (/.f64 (.f64 t y) (-.f64 z y)))
5.4b	(/.f64 (*.f64 t x) (-.f64 z y))
8.9b	(/.f64 (*.f64 t y) (-.f64 z y))

rewrite110.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
17×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`associate-/r/_binary64` `associate-/r*_binary64`
8×	`difference-of-squares_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `div-inv_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `sub-neg_binary64`

Counts

3 → 90

Calls

3 calls:

18.0ms	(-.f64 (/.f64 (.f64 t x) (-.f64 z y)) (/.f64 (.f64 t y) (-.f64 z y)))
6.0ms	(/.f64 (*.f64 t y) (-.f64 z y))
6.0ms	(/.f64 (*.f64 t x) (-.f64 z y))

Compiler

Compiled 2088 to 495 computations (76.3% saved)

series237.0ms (4.9%)

Error

Counts

3 → 69

Calls

3 calls:

100.0ms	(-.f64 (/.f64 (.f64 t x) (-.f64 z y)) (/.f64 (.f64 t y) (-.f64 z y)))
69.0ms	(/.f64 (*.f64 t x) (-.f64 z y))
31.0ms	(/.f64 (*.f64 t y) (-.f64 z y))

Compiler

Compiled 3235 to 2145 computations (33.7% saved)

simplify136.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

355×	`cancel-sign-sub-inv_binary64`
340×	`associate-/r/_binary64`
233×	`distribute-rgt-in_binary64`
224×	`sub-neg_binary64`
187×	`distribute-lft-in_binary64`
178×	`associate-/l*_binary64`
164×	`times-frac_binary64`
152×	`distribute-neg-frac_binary64`
144×	`distribute-rgt-neg-in_binary64`
132×	`distribute-lft-neg-in_binary64`
109×	`associate-*l/_binary64`
106×	`associate-l_binary64`
94×	`associate-r_binary64` `*-commutative_binary64`
89×	`+-commutative_binary64`
87×	`neg-sub0_binary64`
80×	`exp-prod_binary64`
77×	`neg-mul-1_binary64`
76×	`associate-/r*_binary64`
72×	`div-sub_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
69×	`distribute-neg-in_binary64`
68×	`associate--l+_binary64`
65×	`distribute-lft-neg-out_binary64`
56×	`associate--r+_binary64`
49×	`distribute-rgt-neg-out_binary64`
48×	`log-prod_binary64`
47×	`cube-prod_binary64` `unsub-neg_binary64`
43×	`associate-+l+_binary64`
39×	`*-rgt-identity_binary64`
38×	`cube-div_binary64` `distribute-lft-out_binary64`
37×	`log-div_binary64`
34×	`sqr-pow_binary64`
33×	`associate-+r+_binary64`
24×	`exp-sum_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
22×	`unswap-sqr_binary64`
21×	`unpow3_binary64`
14×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
12×	`exp-diff_binary64`
11×	`associate-+r-_binary64`
10×	`swap-sqr_binary64`
9×	`cube-unmult_binary64` `+-rgt-identity_binary64`
8×	`distribute-neg-out_binary64`
7×	`div0_binary64` `difference-of-squares_binary64`
6×	`mul-1-neg_binary64`
5×	`distribute-frac-neg_binary64`
4×	`/-rgt-identity_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `*-lft-identity_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `*-inverses_binary64` `associate--r-_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` `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-1-e_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` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

159 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	3453
1	688	3369
2	2602	2928
3	4773	2925
4	4975	2925

prune55.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Error

Counts

106 → 5

Compiler

Compiled 1405 to 422 computations (70% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.0b	(*.f64 t (-.f64 x y))
10.4b	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))

rewrite132.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
31×	`add-exp-log_binary64`
30×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64` `associate-r_binary64`
19×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
11×	`pow1_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
6×	`div-exp_binary64` `cancel-sign-sub-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-l_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`frac-times_binary64` `associate-l/_binary64` `div-inv_binary64` `-commutative_binary64` `sub-neg_binary64`
1×	`un-div-inv_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 121

Calls

3 calls:

17.0ms	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))
7.0ms	(*.f64 t (-.f64 x y))
6.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 2041 to 742 computations (63.6% saved)

series168.0ms (3.4%)

Error

Counts

3 → 66

Calls

3 calls:

82.0ms	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))
31.0ms	(/.f64 1 (-.f64 z y))
30.0ms	(*.f64 t (-.f64 x y))

Compiler

Compiled 2358 to 1652 computations (29.9% saved)

simplify164.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-rgt-in_binary64`
274×	`cancel-sign-sub-inv_binary64`
262×	`associate-l_binary64`
205×	`associate-r_binary64`
200×	`exp-prod_binary64`
168×	`sub-neg_binary64`
157×	`associate-/l*_binary64`
142×	`*-commutative_binary64`
119×	`div-sub_binary64`
108×	`times-frac_binary64`
89×	`+-commutative_binary64`
82×	`distribute-lft-neg-out_binary64`
80×	`distribute-rgt-neg-out_binary64`
75×	`distribute-neg-in_binary64`
67×	`associate-*r/_binary64`
66×	`associate--l+_binary64`
60×	`distribute-rgt-neg-in_binary64`
58×	`associate-+l+_binary64`
57×	`associate-/r*_binary64`
51×	`*-lft-identity_binary64` `distribute-neg-frac_binary64` `associate--r+_binary64`
49×	`neg-sub0_binary64`
48×	`*-rgt-identity_binary64`
47×	`distribute-lft-neg-in_binary64` `associate-+r+_binary64`
46×	`unsub-neg_binary64`
45×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
43×	`exp-sum_binary64`
34×	`sqr-pow_binary64`
33×	`associate-/r/_binary64`
31×	`distribute-lft-out_binary64`
28×	`associate-*l/_binary64`
26×	`/-rgt-identity_binary64`
23×	`log-prod_binary64` `exp-neg_binary64`
20×	`exp-diff_binary64` `swap-sqr_binary64`
16×	`cube-prod_binary64`
15×	`log-div_binary64` `associate-/l/_binary64`
14×	`unpow3_binary64`
13×	`distribute-rgt-out_binary64` `associate-+r-_binary64`
11×	`distribute-lft-out--_binary64`
9×	`cube-unmult_binary64` `unswap-sqr_binary64`
8×	`+-rgt-identity_binary64`
7×	`cube-div_binary64` `difference-of-squares_binary64`
6×	`mul-1-neg_binary64`
4×	`unpow1/2_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
3×	`log-rec_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `distribute-neg-out_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-pow_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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

187 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3261
1	662	3015
2	2609	2832
3	4757	2832
4	4995	2832
5	5016	2832

prune41.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Error

Counts

127 → 5

Compiler

Compiled 1062 to 320 computations (69.9% saved)

regimes1.2s (23.7%)

Accuracy

Total 1.0b remaining (97.5%)

Threshold costs 0b (0%)

Compiler

Compiled 15116 to 10505 computations (30.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`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	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end1.0ms (0%)

Compiler: Compiled 31 to 14 computations (54.8% saved)

sample732.0ms (15.1%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
17.0ms	551×	body	128	invalid

Compiler

Compiled 120 to 98 computations (18.3% saved)

Details

analyze709.0ms (14.6%)

sample20.0ms (0.4%)

simplify278.0ms (5.7%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite101.0ms (2.1%)

series184.0ms (3.8%)

simplify139.0ms (2.9%)

prune73.0ms (1.5%)

localize6.0ms (0.1%)

rewrite84.0ms (1.7%)

series145.0ms (3%)

simplify120.0ms (2.5%)

prune44.0ms (0.9%)

localize12.0ms (0.3%)

rewrite110.0ms (2.3%)

series237.0ms (4.9%)

simplify136.0ms (2.8%)

prune55.0ms (1.1%)

localize8.0ms (0.2%)

rewrite132.0ms (2.7%)

series168.0ms (3.4%)

simplify164.0ms (3.4%)

prune41.0ms (0.8%)

regimes1.2s (23.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample732.0ms (15.1%)

Profiling