Details

analyze94.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

335×	`div-sub_binary64`
178×	`associate-/l*_binary64`
162×	`sub-neg_binary64`
146×	`times-frac_binary64`
139×	`cancel-sign-sub-inv_binary64`
134×	`distribute-rgt-in_binary64`
121×	`unsub-neg_binary64`
99×	`distribute-lft-in_binary64` `associate-/l/_binary64`
57×	`associate-/r*_binary64`
46×	`associate-l_binary64`
37×	`associate-/r/_binary64`
34×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
31×	`neg-mul-1_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64` `associate--l-_binary64`
30×	`neg-sub0_binary64` `+-commutative_binary64`
28×	`associate--l+_binary64` `associate-+l-_binary64`
27×	`*-commutative_binary64`
26×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
23×	`distribute-neg-in_binary64`
22×	`associate-r_binary64`
21×	`sub0-neg_binary64` `associate-*l/_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`distribute-rgt-out--_binary64`
16×	`*-lft-identity_binary64`
14×	`div0_binary64` `associate-+r-_binary64`
13×	`mul0-rgt_binary64`
12×	`distribute-neg-out_binary64` `associate-+l+_binary64`
11×	`*-rgt-identity_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out_binary64`
10×	`associate-+r+_binary64`
9×	`remove-double-neg_binary64` `--rgt-identity_binary64`
8×	`+-lft-identity_binary64` `associate-*r/_binary64`
6×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64`
4×	`remove-double-div_binary64` `distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `+-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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	82×	body	1024	valid
7.0ms	29×	body	512	valid
4.0ms	118×	body	128	valid
1.0ms	10×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

335×	`div-sub_binary64`
178×	`associate-/l*_binary64`
162×	`sub-neg_binary64`
146×	`times-frac_binary64`
139×	`cancel-sign-sub-inv_binary64`
134×	`distribute-rgt-in_binary64`
121×	`unsub-neg_binary64`
99×	`distribute-lft-in_binary64` `associate-/l/_binary64`
57×	`associate-/r*_binary64`
46×	`associate-l_binary64`
37×	`associate-/r/_binary64`
34×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
31×	`neg-mul-1_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64` `associate--l-_binary64`
30×	`neg-sub0_binary64` `+-commutative_binary64`
28×	`associate--l+_binary64` `associate-+l-_binary64`
27×	`*-commutative_binary64`
26×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
23×	`distribute-neg-in_binary64`
22×	`associate-r_binary64`
21×	`sub0-neg_binary64` `associate-*l/_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`distribute-rgt-out--_binary64`
16×	`*-lft-identity_binary64`
14×	`div0_binary64` `associate-+r-_binary64`
13×	`mul0-rgt_binary64`
12×	`distribute-neg-out_binary64` `associate-+l+_binary64`
11×	`*-rgt-identity_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out_binary64`
10×	`associate-+r+_binary64`
9×	`remove-double-neg_binary64` `--rgt-identity_binary64`
8×	`+-lft-identity_binary64` `associate-*r/_binary64`
6×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64`
4×	`remove-double-div_binary64` `distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `+-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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

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

33.9b

Counts

1 → 1

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
2.9b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite258.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

33.3b

Rules

148×	`*-un-lft-identity_binary64`
88×	`times-frac_binary64`
85×	`add-sqr-sqrt_binary64`
37×	`add-cube-cbrt_binary64`
34×	`cancel-sign-sub-inv_binary64`
27×	`distribute-lft-out_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r*_binary64`
9×	`difference-of-sqr-1_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`associate-/r/_binary64`
5×	`add-log-exp_binary64`
3×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `div-inv_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64`

Counts

3 → 147

Calls

3 calls:

40.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
12.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 2466 to 1786 computations (27.6% saved)

series65.0ms (1.7%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

16.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
14.0ms	(/.f64 x (+.f64 x 1))
12.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))

Compiler

Compiled 893 to 740 computations (17.1% saved)

simplify147.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

566×	`times-frac_binary64`
534×	`associate-/l*_binary64`
331×	`distribute-rgt-in_binary64`
238×	`distribute-lft-in_binary64`
170×	`associate-/l/_binary64`
134×	`exp-prod_binary64`
120×	`sub-neg_binary64`
111×	`associate-/r/_binary64`
107×	`distribute-neg-frac_binary64`
102×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
98×	`associate-*l/_binary64`
96×	`distribute-neg-in_binary64`
93×	`distribute-rgt-neg-in_binary64`
91×	`*-commutative_binary64`
88×	`cancel-sign-sub-inv_binary64`
86×	`+-commutative_binary64`
82×	`div-sub_binary64`
80×	`associate-*r/_binary64`
75×	`log-prod_binary64`
72×	`cube-prod_binary64`
63×	`distribute-lft-neg-in_binary64`
62×	`distribute-lft-neg-out_binary64`
54×	`cube-div_binary64`
53×	`log-div_binary64` `distribute-rgt-neg-out_binary64` `associate-r_binary64`
52×	`associate-/r*_binary64`
50×	`associate-l_binary64`
45×	`distribute-rgt-out_binary64`
42×	`associate-+r+_binary64`
38×	`exp-sum_binary64` `associate-+l+_binary64`
35×	`unsub-neg_binary64`
28×	`distribute-frac-neg_binary64`
24×	`associate--r+_binary64`
23×	`*-rgt-identity_binary64`
19×	`exp-diff_binary64` `sqr-pow_binary64` `distribute-rgt-out--_binary64`
17×	`*-lft-identity_binary64` `unswap-sqr_binary64`
14×	`/-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
12×	`unpow3_binary64` `distribute-lft-out_binary64`
11×	`log-rec_binary64`
9×	`swap-sqr_binary64`
8×	`cube-unmult_binary64` `difference-of-squares_binary64`
6×	`cube-mult_binary64` `mul-1-neg_binary64` `div0_binary64` `distribute-neg-out_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `+-rgt-identity_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-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` `remove-double-neg_binary64` `sub0-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` `cancel-sign-sub_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

183 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	3709
1	635	3606
2	1963	3158
3	4530	3142
4	4960	3142

prune92.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	4	167

Error

0.0b

Counts

167 → 4

Compiler

Compiled 1964 to 1386 computations (29.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (pow.f64 x 4))
0.2b	(/.f64 3 (pow.f64 x 3))
0.7b	(/.f64 1 (*.f64 x x))
6.0b	(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))

rewrite232.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

62×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
24×	`unpow-prod-down_binary64`
20×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64` `div-exp_binary64`
12×	`pow1_binary64` `cube-prod_binary64`
9×	`associate-/l*_binary64`
8×	`sqr-pow_binary64`
7×	`pow-flip_binary64`
6×	`add-log-exp_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`div-inv_binary64` `cbrt-undiv_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`distribute-lft-out_binary64` `prod-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`inv-pow_binary64`
1×	`sum-log_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cbrt-unprod_binary64`

Counts

4 → 165

Calls

4 calls:

51.0ms	(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
5.0ms	(/.f64 3 (pow.f64 x 3))
5.0ms	(/.f64 1 (*.f64 x x))
4.0ms	(/.f64 1 (pow.f64 x 4))

Compiler

Compiled 3963 to 2937 computations (25.9% saved)

series49.0ms (1.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

18.0ms	(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
9.0ms	(/.f64 3 (pow.f64 x 3))
8.0ms	(/.f64 1 (pow.f64 x 4))
8.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 656 to 533 computations (18.8% saved)

simplify125.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-*r/_binary64`
484×	`associate-/r/_binary64`
471×	`unswap-sqr_binary64`
195×	`log-div_binary64`
177×	`associate-/r*_binary64`
161×	`cancel-sign-sub-inv_binary64`
110×	`distribute-rgt-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
98×	`log-prod_binary64`
83×	`distribute-rgt-in_binary64` `associate-l_binary64`
81×	`cube-prod_binary64`
77×	`associate-/l_binary64` `associate-r*_binary64`
66×	`times-frac_binary64`
63×	`distribute-lft-in_binary64`
50×	`distribute-neg-frac_binary64`
48×	`swap-sqr_binary64`
47×	`sqr-pow_binary64`
43×	`cube-div_binary64`
41×	`distribute-rgt-out_binary64`
36×	`associate-/l/_binary64`
34×	`sub-neg_binary64`
33×	`log-pow_binary64`
30×	`associate-l/_binary64` `-commutative_binary64`
27×	`distribute-lft-out_binary64`
23×	`*-rgt-identity_binary64`
22×	`neg-mul-1_binary64`
21×	`neg-sub0_binary64`
18×	`exp-prod_binary64` `distribute-rgt-out--_binary64`
14×	`+-commutative_binary64`
13×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64`
12×	`unpow3_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
11×	`pow-plus_binary64` `*-lft-identity_binary64`
10×	`log-rec_binary64` `distribute-lft-out--_binary64`
9×	`cube-unmult_binary64` `associate-+r-_binary64`
8×	`cube-mult_binary64`
7×	`distribute-lft-neg-out_binary64`
6×	`count-2_binary64` `associate-+r+_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `distribute-rgt-neg-out_binary64`
3×	`div-sub_binary64`
2×	`+-lft-identity_binary64` `associate--r+_binary64`
1×	`unpow1/2_binary64` `exp-lft-cube_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `associate-+l-_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-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-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` `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` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

180 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2237
1	377	2099
2	1385	2048
3	4955	2048
4	5123	2048

prune65.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Error

0.0b

Counts

127 → 4

Compiler

Compiled 1557 to 1124 computations (27.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.1b	(*.f64 x (/.f64 1 (+.f64 1 x)))
6.5b	(-.f64 (*.f64 x (/.f64 1 (+.f64 1 x))) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite219.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

119×	`*-un-lft-identity_binary64`
90×	`add-sqr-sqrt_binary64`
82×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
34×	`cancel-sign-sub-inv_binary64`
22×	`distribute-lft-out_binary64`
19×	`add-exp-log_binary64`
18×	`difference-of-squares_binary64` `associate-r_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
9×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64`
5×	`div-exp_binary64`
4×	`div-inv_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-l_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`un-div-inv_binary64` `frac-sub_binary64` `associate-*r/_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `pow-prod-down_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 180

Calls

4 calls:

19.0ms	(-.f64 (*.f64 x (/.f64 1 (+.f64 1 x))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
10.0ms	(*.f64 x (/.f64 1 (+.f64 1 x)))
9.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 1 x))

Compiler

Compiled 3420 to 2602 computations (23.9% saved)

series79.0ms (2.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

16.0ms	(-.f64 (*.f64 x (/.f64 1 (+.f64 1 x))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
14.0ms	(/.f64 1 (+.f64 1 x))
13.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
12.0ms	(*.f64 x (/.f64 1 (+.f64 1 x)))

Compiler

Compiled 1321 to 1078 computations (18.4% saved)

simplify150.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

519×	`times-frac_binary64`
363×	`distribute-rgt-in_binary64`
316×	`div-sub_binary64`
258×	`distribute-lft-in_binary64`
162×	`exp-prod_binary64`
147×	`associate-/l/_binary64`
138×	`sub-neg_binary64`
124×	`*-commutative_binary64`
116×	`cancel-sign-sub-inv_binary64`
107×	`neg-sub0_binary64`
105×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64` `associate-l_binary64`
104×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
103×	`neg-mul-1_binary64`
97×	`associate-*l/_binary64`
96×	`associate-/r/_binary64`
92×	`+-commutative_binary64`
86×	`associate-r_binary64`
77×	`associate-/l*_binary64`
68×	`log-prod_binary64` `cube-prod_binary64`
66×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
53×	`distribute-rgt-neg-out_binary64`
49×	`associate-/r*_binary64`
45×	`distribute-rgt-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
43×	`unsub-neg_binary64`
41×	`exp-sum_binary64`
38×	`unswap-sqr_binary64`
33×	`associate--r+_binary64`
29×	`*-rgt-identity_binary64`
28×	`distribute-frac-neg_binary64`
27×	`distribute-rgt-out--_binary64`
26×	`*-lft-identity_binary64` `sqr-pow_binary64` `associate--l+_binary64`
20×	`cube-div_binary64`
19×	`exp-diff_binary64`
18×	`log-div_binary64` `/-rgt-identity_binary64`
17×	`distribute-rgt1-in_binary64`
15×	`distribute-lft-out_binary64`
12×	`swap-sqr_binary64`
11×	`unpow3_binary64`
9×	`difference-of-squares_binary64`
8×	`cube-unmult_binary64`
7×	`associate-+r-_binary64`
6×	`div0_binary64` `distribute-neg-out_binary64`
5×	`cube-mult_binary64` `mul-1-neg_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `exp-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
2×	`unpow1/2_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `pow-sqr_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` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

228 → 185

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3728
1	718	3563
2	2188	3311
3	4250	3311
4	5034	3311

prune86.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	185	4	189

Error

0.0b

Counts

189 → 4

Compiler

Compiled 2034 to 1473 computations (27.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
0.0b	(/.f64 (-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x))) (+.f64 (*.f64 x x) -1))
0.0b	(*.f64 (+.f64 1 x) (+.f64 1 x))
23.3b	(-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x)))

rewrite204.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`*-un-lft-identity_binary64`
32×	`frac-sub_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
29×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64` `frac-times_binary64`
19×	`flip3--_binary64` `flip--_binary64`
18×	`associate-/l/_binary64`
16×	`times-frac_binary64`
11×	`add-log-exp_binary64` `pow1_binary64`
10×	`associate-l/_binary64` `associate-r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`
6×	`swap-sqr_binary64` `distribute-lft-out_binary64`
5×	`difference-of-sqr--1_binary64`
4×	`diff-log_binary64` `associate--l+_binary64` `associate-l_binary64` `associate-r_binary64` `associate-/l_binary64` `associate-/r_binary64`
3×	`sub-neg_binary64`
2×	`distribute-rgt-in_binary64` `associate--r+_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64`
1×	`associate--l-_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-rgt-out--_binary64`

Counts

4 → 150

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x))) (+.f64 (*.f64 x x) -1))
11.0ms	(-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x)))
9.0ms	(*.f64 (+.f64 1 x) (+.f64 1 x))
4.0ms	(-.f64 (*.f64 x x) x)

Compiler

Compiled 5844 to 2860 computations (51.1% saved)

series65.0ms (1.7%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

15.0ms	(*.f64 (+.f64 1 x) (+.f64 1 x))
14.0ms	(/.f64 (-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x))) (+.f64 (*.f64 x x) -1))
13.0ms	(-.f64 (*.f64 x x) x)
9.0ms	(-.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 895 to 654 computations (26.9% saved)

simplify181.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

642×	`times-frac_binary64`
389×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
276×	`div-sub_binary64`
232×	`associate-r_binary64`
210×	`associate-l_binary64`
149×	`*-commutative_binary64`
81×	`neg-mul-1_binary64`
72×	`cancel-sign-sub-inv_binary64`
70×	`sub-neg_binary64`
67×	`+-commutative_binary64`
62×	`distribute-rgt-neg-in_binary64`
61×	`associate-/l*_binary64`
60×	`associate-/r*_binary64`
52×	`exp-prod_binary64`
46×	`distribute-lft-neg-in_binary64`
39×	`associate-+l+_binary64`
38×	`associate-+r+_binary64`
34×	`neg-sub0_binary64`
27×	`log-prod_binary64` `distribute-neg-in_binary64`
26×	`cube-prod_binary64`
25×	`exp-sum_binary64`
24×	`associate-/l/_binary64`
19×	`associate--r+_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`exp-diff_binary64`
14×	`*-lft-identity_binary64` `sqr-pow_binary64`
13×	`*-rgt-identity_binary64`
12×	`associate-*l/_binary64`
11×	`distribute-rgt-out_binary64` `associate-*r/_binary64`
10×	`associate-+r-_binary64`
9×	`unswap-sqr_binary64` `associate-/r/_binary64`
8×	`log-div_binary64`
7×	`cube-unmult_binary64` `unsub-neg_binary64` `associate--l+_binary64`
6×	`log-pow_binary64` `unpow3_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64`
5×	`pow-plus_binary64` `cube-mult_binary64` `associate--l-_binary64` `associate-+l-_binary64`
4×	`difference-of-sqr--1_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
3×	`div-exp_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-rgt1-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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

183 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	5210
1	779	4883
2	3249	4794
3	4996	4794
4	4951	4794

prune103.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	163	2	165

Error

0.0b

Counts

165 → 2

Compiler

Compiled 4195 to 2182 computations (48% saved)

regimes590.0ms (15.4%)

Accuracy

Total 0.0b remaining (27.7%)

Threshold costs 0.0b (27.7%)

Compiler

Compiled 4219 to 3303 computations (21.7% saved)

bsearch8.0ms (0.2%)

Steps

Iters	Range		Point
2	38.68393231906307	7366449.991689494	358991.0367498862
1	-140417778374650.9	-234848797917.09958	-5946613085329.435

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
10×	`sub-neg_binary64`
9×	`*-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-neg-in_binary64`
3×	`unsub-neg_binary64`
2×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`if-if-or-not_binary64` `1-exp_binary64` `distribute-frac-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_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` `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-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	60
1	50	58
2	73	58
3	93	58
4	103	58
5	106	58
6	103	58

end1.0ms (0%)

Compiler: Compiled 39 to 31 computations (20.5% saved)

sample869.0ms (22.6%)

Algorithm

1×

intervals

Results

260.0ms	2042×	body	1024	valid
148.0ms	4231×	body	128	valid
92.0ms	982×	body	512	valid
33.0ms	536×	body	256	valid
32.0ms	209×	body	2048	valid

Compiler

Compiled 88 to 75 computations (14.8% saved)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

Details

analyze94.0ms (2.5%)

sample31.0ms (0.8%)

simplify81.0ms (2.1%)

prune1.0ms (0%)

localize6.0ms (0.2%)

rewrite258.0ms (6.7%)

series65.0ms (1.7%)

simplify147.0ms (3.8%)

prune92.0ms (2.4%)

localize13.0ms (0.3%)

rewrite232.0ms (6%)

series49.0ms (1.3%)

simplify125.0ms (3.2%)

prune65.0ms (1.7%)

localize9.0ms (0.2%)

rewrite219.0ms (5.7%)

series79.0ms (2.1%)

simplify150.0ms (3.9%)

prune86.0ms (2.2%)

localize9.0ms (0.2%)

rewrite204.0ms (5.3%)

series65.0ms (1.7%)

simplify181.0ms (4.7%)

prune103.0ms (2.7%)

regimes590.0ms (15.4%)

bsearch8.0ms (0.2%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample869.0ms (22.6%)

Profiling

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19