Details

analyze630.0ms (11.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

795×	`div-sub_binary64`
344×	`associate-/l*_binary64`
336×	`sub-neg_binary64`
320×	`associate-/r/_binary64`
267×	`distribute-rgt-in_binary64`
264×	`distribute-lft-in_binary64`
235×	`associate-/r*_binary64`
219×	`associate--l+_binary64`
213×	`associate-/l/_binary64`
196×	`associate-*l/_binary64`
194×	`associate-r_binary64`
183×	`times-frac_binary64`
179×	`associate-l_binary64`
163×	`associate-r/_binary64` `-commutative_binary64`
140×	`associate-+r+_binary64`
136×	`associate--l-_binary64`
131×	`+-commutative_binary64`
129×	`unswap-sqr_binary64`
115×	`--rgt-identity_binary64`
111×	`sqr-pow_binary64`
107×	`div0_binary64`
97×	`cancel-sign-sub-inv_binary64`
91×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
78×	`*-rgt-identity_binary64`
63×	`pow-sqr_binary64`
48×	`/-rgt-identity_binary64`
38×	`associate-+l-_binary64`
24×	`+-rgt-identity_binary64`
18×	`exp-prod_binary64`
15×	`cube-unmult_binary64` `sub0-neg_binary64` `associate--r+_binary64`
12×	`unpow3_binary64` `cube-prod_binary64`
9×	`exp-sum_binary64`
8×	`distribute-rgt-out_binary64` `associate--r-_binary64`
7×	`exp-diff_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64`
4×	`associate-+r-_binary64`
3×	`cosh-def_binary64` `exp-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `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` `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-mult_binary64` `cube-div_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-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_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` `difference-of-squares_binary64` `swap-sqr_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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	55	48
2	140	48
3	348	48
4	744	48
5	1226	48
6	2261	48
7	3294	48
8	3714	48
9	4918	48
10	4963	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample36.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
7.0ms	217×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

434×	`distribute-rgt-in_binary64`
358×	`distribute-lft-in_binary64`
322×	`div-sub_binary64`
307×	`*-commutative_binary64`
290×	`unswap-sqr_binary64`
212×	`associate-/l*_binary64`
195×	`associate-l_binary64`
188×	`associate-r_binary64`
183×	`times-frac_binary64`
174×	`sqr-pow_binary64`
158×	`associate-*l/_binary64`
129×	`associate-*r/_binary64`
126×	`rem-sqrt-square_binary64`
122×	`*-lft-identity_binary64`
120×	`pow-sqr_binary64`
118×	`*-rgt-identity_binary64`
117×	`associate-/l/_binary64`
106×	`associate-/r*_binary64`
80×	`sub-neg_binary64`
71×	`exp-sum_binary64`
68×	`exp-diff_binary64`
66×	`associate-/r/_binary64`
61×	`cube-prod_binary64`
56×	`unpow3_binary64`
55×	`associate--l-_binary64`
54×	`neg-mul-1_binary64`
47×	`exp-prod_binary64`
37×	`distribute-rgt-out_binary64`
36×	`+-commutative_binary64`
31×	`prod-exp_binary64`
28×	`count-2_binary64` `associate-+r-_binary64`
26×	`cancel-sign-sub-inv_binary64`
25×	`associate--l+_binary64`
22×	`pow-plus_binary64` `div0_binary64` `distribute-frac-neg_binary64`
21×	`associate-+l+_binary64`
20×	`cube-mult_binary64` `associate-+r+_binary64`
18×	`swap-sqr_binary64`
16×	`/-rgt-identity_binary64`
14×	`distribute-lft-neg-in_binary64` `associate-+l-_binary64`
13×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
10×	`distribute-neg-in_binary64`
9×	`exp-sqrt_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate--r-_binary64`
6×	`exp-lft-sqr_binary64` `neg-sub0_binary64`
4×	`cube-div_binary64`
3×	`rec-exp_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64`
2×	`unpow-1_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
1×	`cosh-def_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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` `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` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	19	12
2	45	12
3	105	12
4	215	12
5	348	12
6	589	12
7	1626	12
8	1752	12
9	2096	12
10	2902	12
11	3360	12
12	4687	12
13	4993	12
14	4868	12

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

6.7b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
6.3b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite69.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`times-frac_binary64` `associate-r_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cosh-def_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `-commutative_binary64`

Counts

2 → 60

Calls

2 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 871 to 232 computations (73.4% saved)

series122.0ms (2.2%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

62.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
35.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Compiler

Compiled 830 to 598 computations (28% saved)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

867×	`times-frac_binary64`
448×	`associate-l_binary64`
367×	`associate-r_binary64`
336×	`associate-/r/_binary64`
324×	`associate-/r*_binary64`
147×	`associate-/l*_binary64`
113×	`log-div_binary64`
106×	`sub-neg_binary64`
103×	`log-prod_binary64`
93×	`cube-prod_binary64` `associate-*l/_binary64`
91×	`associate-*r/_binary64`
75×	`*-commutative_binary64`
61×	`associate-+l+_binary64`
60×	`cube-div_binary64`
58×	`associate-/l/_binary64`
50×	`exp-prod_binary64`
48×	`distribute-lft-in_binary64`
45×	`distribute-rgt-in_binary64`
40×	`associate-+r+_binary64`
29×	`+-commutative_binary64`
27×	`neg-mul-1_binary64` `neg-sub0_binary64`
26×	`*-rgt-identity_binary64`
21×	`unpow3_binary64` `associate-+l-_binary64`
20×	`*-lft-identity_binary64` `sqr-pow_binary64` `associate--l+_binary64`
18×	`unsub-neg_binary64`
17×	`cube-mult_binary64` `associate--l-_binary64` `associate-+r-_binary64`
15×	`log-rec_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`
11×	`exp-sum_binary64` `distribute-rgt-out_binary64`
10×	`div-sub_binary64` `distribute-lft-out_binary64`
8×	`cube-unmult_binary64` `distribute-rgt-neg-in_binary64`
7×	`swap-sqr_binary64`
6×	`exp-sqrt_binary64` `distribute-lft-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate--r-_binary64`
2×	`pow-sqr_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
1×	`cosh-def_binary64` `unpow1/2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_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` `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` `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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `remove-double-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

81 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1428
1	406	1226
2	1426	1223
3	4470	1223
4	5000	1223
5	4997	1223
6	4991	1223

prune50.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Error

0.0b

Counts

61 → 8

Compiler

Compiled 643 to 268 computations (58.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (cosh.f64 x))
0.2b	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
6.3b	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)

rewrite110.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

59×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
25×	`prod-exp_binary64`
17×	`div-exp_binary64`
16×	`add-sqr-sqrt_binary64` `associate-r_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`cbrt-unprod_binary64`
12×	`times-frac_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
7×	`associate-*r/_binary64`
5×	`cosh-def_binary64`
4×	`1-exp_binary64` `rec-exp_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `associate-l_binary64`
3×	`add-log-exp_binary64` `associate-/r*_binary64`
2×	`div-inv_binary64` `frac-times_binary64` `un-div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `unswap-sqr_binary64`

Counts

3 → 94

Calls

3 calls:

9.0ms	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
8.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
4.0ms	(*.f64 y (cosh.f64 x))

Compiler

Compiled 1520 to 658 computations (56.7% saved)

series146.0ms (2.6%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

63.0ms	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
33.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
29.0ms	(*.f64 y (cosh.f64 x))

Compiler

Compiled 1199 to 887 computations (26% saved)

simplify144.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-/r*_binary64`
527×	`associate-/r/_binary64`
485×	`*-commutative_binary64`
227×	`associate-l_binary64`
208×	`associate-/l*_binary64`
194×	`associate-r_binary64`
190×	`log-div_binary64`
170×	`cube-div_binary64`
131×	`log-prod_binary64`
128×	`times-frac_binary64`
113×	`sub-neg_binary64`
107×	`associate-+l+_binary64`
102×	`exp-prod_binary64`
99×	`cube-prod_binary64`
98×	`associate-*r/_binary64`
95×	`sqr-pow_binary64` `associate-*l/_binary64`
85×	`associate-+r+_binary64`
84×	`+-commutative_binary64`
66×	`unswap-sqr_binary64`
58×	`/-rgt-identity_binary64`
50×	`*-rgt-identity_binary64` `associate-/l/_binary64`
49×	`unpow3_binary64`
47×	`associate-+l-_binary64`
46×	`cube-mult_binary64`
44×	`swap-sqr_binary64`
42×	`associate--l+_binary64`
41×	`distribute-lft-in_binary64`
37×	`distribute-rgt-out_binary64`
36×	`distribute-rgt-in_binary64`
35×	`*-lft-identity_binary64`
33×	`distribute-neg-frac_binary64`
32×	`distribute-neg-in_binary64`
31×	`associate-+r-_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-out_binary64`
26×	`neg-mul-1_binary64`
25×	`neg-sub0_binary64`
22×	`log-rec_binary64` `associate--l-_binary64`
18×	`distribute-rgt-neg-in_binary64`
17×	`distribute-lft-neg-in_binary64`
16×	`unsub-neg_binary64`
13×	`cube-unmult_binary64`
12×	`pow-sqr_binary64`
11×	`div-sub_binary64`
10×	`exp-sum_binary64`
7×	`sub0-neg_binary64`
6×	`unpow1/2_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
5×	`pow-plus_binary64` `exp-sqrt_binary64`
4×	`log-pow_binary64`
3×	`--rgt-identity_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
2×	`remove-double-neg_binary64` `+-lft-identity_binary64`
1×	`cosh-def_binary64` `unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `div0_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64` `count-2_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` `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` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

124 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	1994
1	529	1708
2	1972	1702
3	3982	1702
4	4717	1702
5	4992	1702
6	4956	1702

prune47.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	92	9	101

Error

0.0b

Counts

101 → 9

Compiler

Compiled 788 to 347 computations (56% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (/.f64 y x) (cosh.f64 x))
0.4b	(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
6.3b	(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))

rewrite142.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`times-frac_binary64`
51×	`add-exp-log_binary64`
37×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
31×	`add-cbrt-cube_binary64`
25×	`div-exp_binary64`
16×	`associate-/r/_binary64`
13×	`cbrt-undiv_binary64` `associate-l_binary64`
12×	`cosh-def_binary64`
11×	`associate-/r*_binary64`
10×	`prod-exp_binary64`
7×	`div-inv_binary64`
6×	`pow1_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-/l*_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `unswap-sqr_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `pow-prod-down_binary64` `*-commutative_binary64`

Counts

3 → 132

Calls

3 calls:

12.0ms	(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
7.0ms	(*.f64 (/.f64 y x) (cosh.f64 x))
6.0ms	(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))

Compiler

Compiled 2268 to 763 computations (66.4% saved)

series203.0ms (3.6%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

79.0ms	(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))
63.0ms	(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
37.0ms	(*.f64 (/.f64 y x) (cosh.f64 x))

Compiler

Compiled 1419 to 1051 computations (25.9% saved)

simplify192.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/l/_binary64`
523×	`*-commutative_binary64`
172×	`associate-/l*_binary64`
169×	`log-prod_binary64` `sub-neg_binary64`
166×	`cube-prod_binary64`
151×	`associate-*l/_binary64`
145×	`log-div_binary64`
139×	`cube-div_binary64`
125×	`associate-/r/_binary64`
124×	`associate-*r/_binary64`
121×	`exp-prod_binary64`
119×	`associate-r_binary64`
117×	`distribute-rgt-in_binary64`
115×	`distribute-lft-in_binary64`
108×	`associate-/r*_binary64`
96×	`sqr-pow_binary64`
93×	`times-frac_binary64`
87×	`associate-l_binary64`
82×	`associate-+r+_binary64` `+-commutative_binary64`
76×	`associate-+l+_binary64`
73×	`neg-mul-1_binary64`
70×	`*-rgt-identity_binary64`
69×	`neg-sub0_binary64`
61×	`unpow3_binary64` `cube-mult_binary64`
50×	`associate-+r-_binary64`
44×	`distribute-neg-frac_binary64`
37×	`associate--r+_binary64`
35×	`unsub-neg_binary64`
33×	`associate-+l-_binary64`
31×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `associate--r-_binary64`
29×	`distribute-lft-neg-in_binary64`
28×	`*-lft-identity_binary64`
22×	`log-rec_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
19×	`div-sub_binary64`
14×	`associate--l+_binary64`
13×	`/-rgt-identity_binary64` `+-rgt-identity_binary64`
10×	`exp-sum_binary64` `distribute-rgt-out_binary64`
9×	`sub0-neg_binary64` `distribute-lft-out_binary64`
8×	`pow-sqr_binary64`
7×	`cube-unmult_binary64`
5×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `prod-exp_binary64`
4×	`unpow1/2_binary64` `--rgt-identity_binary64` `div0_binary64` `remove-double-div_binary64`
3×	`remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-lft-neg-out_binary64`
2×	`distribute-frac-neg_binary64` `associate--l-_binary64`
1×	`cosh-def_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_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` `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` `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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

165 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	3347
1	616	2844
2	2073	2826
3	4038	2826
4	4806	2826
5	4981	2826
6	4974	2826

prune77.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	137	6	143

Error

Counts

143 → 6

Compiler

Compiled 1377 to 541 computations (60.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 z (cosh.f64 x))
0.4b	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x))))
5.6b	(*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x)))

rewrite122.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`add-exp-log_binary64`
39×	`add-sqr-sqrt_binary64`
35×	`add-cbrt-cube_binary64`
34×	`times-frac_binary64`
27×	`div-exp_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`prod-exp_binary64`
14×	`cbrt-undiv_binary64` `associate-r_binary64`
13×	`associate-l_binary64`
8×	`pow1_binary64` `cbrt-unprod_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r/_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`unswap-sqr_binary64` `div-inv_binary64` `associate-/r*_binary64`
3×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `cosh-def_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`*-commutative_binary64` `inv-pow_binary64`

Counts

3 → 122

Calls

3 calls:

11.0ms	(*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x)))
8.0ms	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x))))
3.0ms	(/.f64 z (cosh.f64 x))

Compiler

Compiled 2031 to 617 computations (69.6% saved)

series202.0ms (3.6%)

Error

Counts

3 → 33

Calls

3 calls:

79.0ms	(*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x)))
64.0ms	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 z (cosh.f64 x))))
38.0ms	(/.f64 z (cosh.f64 x))

Compiler

Compiled 1395 to 1045 computations (25.1% saved)

simplify123.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-/r/_binary64`
581×	`associate-/r*_binary64`
555×	`associate-/l/_binary64`
242×	`log-div_binary64`
187×	`associate-*r/_binary64`
180×	`associate-*l/_binary64`
175×	`*-commutative_binary64`
172×	`associate-/l*_binary64`
117×	`associate-r_binary64`
115×	`associate-l_binary64`
102×	`cancel-sign-sub-inv_binary64`
76×	`sub-neg_binary64`
71×	`times-frac_binary64`
61×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
56×	`distribute-neg-frac_binary64`
36×	`neg-mul-1_binary64` `+-commutative_binary64`
35×	`log-prod_binary64` `cube-div_binary64` `neg-sub0_binary64`
30×	`sqr-pow_binary64`
29×	`exp-prod_binary64` `distribute-rgt-in_binary64`
26×	`*-rgt-identity_binary64`
25×	`distribute-neg-in_binary64`
23×	`swap-sqr_binary64`
22×	`cube-prod_binary64` `*-lft-identity_binary64` `distribute-lft-in_binary64`
21×	`unswap-sqr_binary64`
20×	`associate--r+_binary64`
15×	`distribute-rgt-out_binary64`
13×	`/-rgt-identity_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
12×	`log-rec_binary64` `associate--l+_binary64`
10×	`unsub-neg_binary64`
9×	`cube-unmult_binary64` `associate--r-_binary64`
8×	`associate-+r-_binary64`
4×	`distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
3×	`div-sub_binary64`
2×	`log-pow_binary64` `exp-lft-sqr_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
1×	`cosh-def_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-neg-out_binary64` `count-2_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` `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` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

155 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2989
1	653	2474
2	2049	2286
3	4889	2286
4	5102	2286

prune51.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Error

Counts

123 → 6

Compiler

Compiled 1033 to 397 computations (61.6% saved)

regimes1.6s (28.4%)

Accuracy

Total 1.3b remaining (95.6%)

Threshold costs 0b (0%)

Compiler

Compiled 9526 to 7494 computations (21.3% saved)

bsearch62.0ms (1.1%)

Steps

Iters	Range		Point
8	5.229795293584099e-146	1.9621281645380148e-141	1.9232029565270297e-141
7	-8.777487603723088e+74	-5.2563539390395235e+73	-2.1664839211293362e+74

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64` `-rgt-identity_binary64` `-lft-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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	30	68
1	44	68
2	46	68
3	47	68
4	46	68

end1.0ms (0%)

Compiler: Compiled 44 to 25 computations (43.2% saved)

sample1.2s (21.6%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
253.0ms	7213×	body	128	invalid

Compiler

Compiled 158 to 125 computations (20.9% saved)

Details

analyze630.0ms (11.3%)

sample36.0ms (0.6%)

simplify106.0ms (1.9%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite69.0ms (1.2%)

series122.0ms (2.2%)

simplify119.0ms (2.1%)

prune50.0ms (0.9%)

localize7.0ms (0.1%)

rewrite110.0ms (2%)

series146.0ms (2.6%)

simplify144.0ms (2.6%)

prune47.0ms (0.8%)

localize7.0ms (0.1%)

rewrite142.0ms (2.6%)

series203.0ms (3.6%)

simplify192.0ms (3.4%)

prune77.0ms (1.4%)

localize7.0ms (0.1%)

rewrite122.0ms (2.2%)

series202.0ms (3.6%)

simplify123.0ms (2.2%)

prune51.0ms (0.9%)

regimes1.6s (28.4%)

bsearch62.0ms (1.1%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.2s (21.6%)

Profiling