Details

analyze440.0ms (7.9%)

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)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
8.0ms	231×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify111.0ms (2%)

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

8.8b

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))
8.3b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite80.0ms (1.4%)

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)

series120.0ms (2.2%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

64.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
37.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Compiler

Compiled 830 to 598 computations (28% saved)

simplify120.0ms (2.2%)

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

prune46.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Error

0.0b

Counts

61 → 9

Compiler

Compiled 643 to 272 computations (57.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(.f64 1/2 (.f64 (/.f64 y (*.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(.f64 (/.f64 y (.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.1b	(/.f64 y (*.f64 x z))

rewrite120.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`associate-*r/_binary64`
6×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `associate-r_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`pow-prod-down_binary64` `frac-times_binary64`
3×	`associate-/l*_binary64`
2×	`div-inv_binary64` `associate-l/_binary64` `cosh-undef_binary64` `distribute-lft-out_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `unswap-sqr_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

15.0ms	(.f64 1/2 (.f64 (/.f64 y (*.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
11.0ms	(.f64 (/.f64 y (.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 y (*.f64 x z))

Compiler

Compiled 2179 to 513 computations (76.5% saved)

series165.0ms (3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

56.0ms	(.f64 1/2 (.f64 (/.f64 y (*.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
51.0ms	(.f64 (/.f64 y (.f64 x z)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
32.0ms	(/.f64 y (*.f64 x z))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1318 to 1001 computations (24.1% saved)

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
584×	`distribute-lft-in_binary64`
196×	`associate-r_binary64`
189×	`associate-l_binary64`
149×	`*-commutative_binary64`
139×	`associate-/l/_binary64`
137×	`associate-*l/_binary64`
136×	`associate-*r/_binary64`
88×	`times-frac_binary64`
75×	`log-prod_binary64`
72×	`associate-/l*_binary64`
70×	`associate-/r*_binary64`
68×	`log-div_binary64`
63×	`exp-prod_binary64`
49×	`+-commutative_binary64`
39×	`sub-neg_binary64`
38×	`unpow3_binary64` `sqr-pow_binary64` `swap-sqr_binary64`
34×	`associate-+r+_binary64`
29×	`cube-prod_binary64`
26×	`*-rgt-identity_binary64`
25×	`associate-+l+_binary64`
24×	`cube-div_binary64`
22×	`*-lft-identity_binary64` `unswap-sqr_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`neg-sub0_binary64` `distribute-rgt-out_binary64`
13×	`neg-mul-1_binary64`
10×	`associate-/r/_binary64`
9×	`prod-exp_binary64` `exp-sum_binary64` `cube-unmult_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
8×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`associate-+l-_binary64`
5×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`pow-sqr_binary64` `distribute-lft-out_binary64`
3×	`log-rec_binary64` `exp-diff_binary64` `cube-mult_binary64` `div-sub_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `rec-exp_binary64` `exp-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r+_binary64`
1×	`cosh-def_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-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-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

139 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3052
1	562	2569
2	2191	2550
3	4927	2550
4	4966	2550

prune59.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Error

Counts

100 → 10

Compiler

Compiled 1228 to 515 computations (58.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
1.7b	(/.f64 x (/.f64 (cbrt.f64 y) z))
3.1b	(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 x (/.f64 (cbrt.f64 y) z)))

rewrite272.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

449×	`times-frac_binary64`
205×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
96×	`cbrt-prod_binary64`
93×	`associate-/r*_binary64`
30×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
15×	`div-exp_binary64` `cbrt-undiv_binary64`
14×	`div-inv_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow1/3_binary64`

Counts

4 → 294

Calls

4 calls:

19.0ms	(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 x (/.f64 (cbrt.f64 y) z)))
7.0ms	(/.f64 x (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 9457 to 2204 computations (76.7% saved)

series149.0ms (2.7%)

Error

Counts

4 → 24

Calls

4 calls:

73.0ms	(/.f64 x (/.f64 (cbrt.f64 y) z))
35.0ms	(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 x (/.f64 (cbrt.f64 y) z)))
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

Compiler

Compiled 1172 to 891 computations (24% saved)

simplify310.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/r/_binary64`
575×	`associate-/l/_binary64`
401×	`associate-/l*_binary64`
384×	`associate-*l/_binary64`
300×	`*-commutative_binary64`
290×	`times-frac_binary64`
280×	`associate-/r*_binary64`
209×	`associate-l_binary64`
184×	`associate-*r/_binary64`
132×	`*-rgt-identity_binary64`
93×	`log-prod_binary64`
91×	`log-div_binary64`
89×	`associate-r_binary64`
82×	`unswap-sqr_binary64`
74×	`cube-prod_binary64`
73×	`cube-div_binary64`
46×	`exp-prod_binary64`
37×	`sub-neg_binary64`
36×	`*-lft-identity_binary64`
25×	`sqr-pow_binary64`
24×	`unpow3_binary64`
23×	`neg-sub0_binary64`
22×	`cube-mult_binary64`
20×	`neg-mul-1_binary64`
13×	`/-rgt-identity_binary64`
11×	`log-pow_binary64`
10×	`div-sub_binary64` `distribute-neg-frac_binary64`
9×	`cube-unmult_binary64`
6×	`pow-plus_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`
5×	`log-rec_binary64` `associate--r+_binary64`
4×	`unpow1/3_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
3×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `remove-double-div_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
2×	`exp-diff_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `div0_binary64` `cancel-sign-sub-inv_binary64` `count-2_binary64` `associate-+r-_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` `unpow2_binary64` `unpow1/2_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` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_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` `+-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-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

318 → 232

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	7839
1	1042	6674
2	4650	6665
3	4644	6665
4	4998	6665
5	4971	6665

prune136.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	2	6	8
Picked	0	1	1
Done	1	0	1
Total	233	9	242

Error

Counts

242 → 9

Compiler

Compiled 5659 to 1660 computations (70.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))))
0.0b	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))
5.7b	(.f64 (/.f64 1 x) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z)))

rewrite181.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

101×	`add-exp-log_binary64`
59×	`add-cbrt-cube_binary64`
55×	`prod-exp_binary64`
29×	`cbrt-unprod_binary64`
26×	`associate-*r/_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`div-exp_binary64` `associate-l_binary64`
20×	`pow1_binary64` `add-cube-cbrt_binary64` `frac-times_binary64`
19×	`times-frac_binary64`
15×	`associate-r_binary64`
12×	`associate-*l/_binary64`
11×	`cbrt-undiv_binary64` `flip3-+_binary64` `flip-+_binary64`
10×	`pow-prod-down_binary64`
6×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`div-inv_binary64` `unswap-sqr_binary64` `cosh-undef_binary64` `distribute-lft-out_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

16.0ms	(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))))
14.0ms	(.f64 (/.f64 1 x) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z)))
13.0ms	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 3800 to 1247 computations (67.2% saved)

series190.0ms (3.4%)

Error

Counts

4 → 42

Calls

4 calls:

57.0ms	(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))))
53.0ms	(.f64 (/.f64 1 x) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z)))
45.0ms	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y z))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1596 to 1210 computations (24.2% saved)

simplify166.0ms (3%)

Algorithm

1×	egg-herbie

Rules

777×	`times-frac_binary64`
371×	`associate-r_binary64`
282×	`associate-l_binary64`
275×	`associate-/l/_binary64`
244×	`associate-/r/_binary64`
203×	`associate-*r/_binary64`
193×	`*-commutative_binary64`
192×	`log-prod_binary64`
184×	`associate-*l/_binary64`
136×	`associate-/l*_binary64`
99×	`log-div_binary64`
94×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
68×	`associate-+r+_binary64`
66×	`+-commutative_binary64`
54×	`exp-prod_binary64`
47×	`*-lft-identity_binary64`
45×	`sub-neg_binary64` `sqr-pow_binary64`
44×	`*-rgt-identity_binary64`
40×	`swap-sqr_binary64` `associate-+l+_binary64`
37×	`cube-div_binary64`
36×	`associate-/r*_binary64`
33×	`cube-prod_binary64`
26×	`unswap-sqr_binary64`
16×	`associate-+r-_binary64`
15×	`cancel-sign-sub-inv_binary64`
14×	`associate-+l-_binary64`
12×	`log-rec_binary64` `/-rgt-identity_binary64`
11×	`exp-sum_binary64`
10×	`cube-unmult_binary64` `unsub-neg_binary64`
9×	`prod-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
4×	`div-sub_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64`
3×	`unpow3_binary64` `exp-diff_binary64` `cube-mult_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `rec-exp_binary64` `exp-neg_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
1×	`cosh-def_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_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` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-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` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

192 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4847
1	716	4042
2	2767	3599
3	4818	3599
4	4952	3599

prune88.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	154	9	163

Error

Counts

163 → 9

Compiler

Compiled 1897 to 764 computations (59.7% saved)

regimes1.3s (22.8%)

Accuracy

Total 0.3b remaining (86.7%)

Threshold costs 0.3b (86.7%)

Compiler

Compiled 8771 to 6624 computations (24.5% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_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` `-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	28	93
1	39	93
2	41	93
3	42	93
4	41	93

end2.0ms (0%)

Compiler: Compiled 60 to 27 computations (55% saved)

sample1.3s (23.6%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
258.0ms	7147×	body	128	invalid

Compiler

Compiled 239 to 172 computations (28% saved)

Details

analyze440.0ms (7.9%)

sample34.0ms (0.6%)

simplify111.0ms (2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite80.0ms (1.4%)

series120.0ms (2.2%)

simplify120.0ms (2.2%)

prune46.0ms (0.8%)

localize10.0ms (0.2%)

rewrite120.0ms (2.2%)

series165.0ms (3%)

simplify126.0ms (2.3%)

prune59.0ms (1.1%)

localize18.0ms (0.3%)

rewrite272.0ms (4.9%)

series149.0ms (2.7%)

simplify310.0ms (5.6%)

prune136.0ms (2.5%)

localize11.0ms (0.2%)

rewrite181.0ms (3.3%)

series190.0ms (3.4%)

simplify166.0ms (3%)

prune88.0ms (1.6%)

regimes1.3s (22.8%)

bsearch4.0ms (0.1%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample1.3s (23.6%)

Profiling