Details

analyze332.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

436×	`times-frac_binary64`
374×	`div-sub_binary64`
198×	`cancel-sign-sub-inv_binary64`
185×	`sub-neg_binary64`
167×	`associate-/l*_binary64`
132×	`associate-/r*_binary64`
118×	`distribute-rgt-in_binary64`
107×	`associate-/r/_binary64`
106×	`distribute-lft-in_binary64`
82×	`distribute-neg-frac_binary64`
80×	`distribute-rgt-neg-in_binary64`
76×	`unsub-neg_binary64`
59×	`distribute-lft-neg-in_binary64`
48×	`associate-r_binary64`
46×	`neg-mul-1_binary64`
44×	`associate-/l/_binary64`
37×	`distribute-rgt-neg-out_binary64`
36×	`distribute-frac-neg_binary64`
34×	`neg-sub0_binary64` `associate-*l/_binary64`
26×	`associate-r/_binary64` `associate-l*_binary64` `associate--r-_binary64` `+-commutative_binary64`
25×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
23×	`associate-+l-_binary64`
21×	`*-commutative_binary64`
18×	`associate-+r-_binary64`
16×	`mul0-rgt_binary64` `div0_binary64`
13×	`sub0-neg_binary64`
10×	`remove-double-neg_binary64` `distribute-neg-in_binary64`
9×	`/-rgt-identity_binary64`
8×	`*-lft-identity_binary64` `mul0-lft_binary64` `associate-+r+_binary64`
7×	`*-rgt-identity_binary64`
5×	`distribute-neg-out_binary64` `associate--l-_binary64`
4×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `associate-+l+_binary64`
3×	`--rgt-identity_binary64`
2×	`*-inverses_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `remove-double-div_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac_binary64`
323×	`div-sub_binary64`
147×	`sub-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
139×	`associate-/l*_binary64`
107×	`associate-/r*_binary64`
98×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`
87×	`unsub-neg_binary64`
69×	`associate-/r/_binary64`
50×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
49×	`associate-/l/_binary64`
34×	`distribute-frac-neg_binary64`
32×	`neg-mul-1_binary64` `associate-l_binary64`
30×	`distribute-lft-neg-out_binary64`
28×	`associate-*l/_binary64`
26×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
23×	`neg-sub0_binary64`
20×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
16×	`mul0-rgt_binary64` `associate--r+_binary64` `*-commutative_binary64`
15×	`associate-+l-_binary64`
12×	`div0_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
11×	`sub0-neg_binary64`
9×	`associate--r-_binary64` `associate--l-_binary64`
8×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
7×	`remove-double-neg_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
6×	`*-rgt-identity_binary64`
5×	`distribute-neg-out_binary64`
4×	`--rgt-identity_binary64`
3×	`+-rgt-identity_binary64` `associate-+l+_binary64`
2×	`mul-1-neg_binary64` `*-inverses_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `remove-double-div_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` `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` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite52.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 45

Calls

1 calls:

18.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 567 to 133 computations (76.5% saved)

series49.0ms (1.5%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

42.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 400 to 357 computations (10.8% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-/r*_binary64`
413×	`div-sub_binary64`
380×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`
290×	`associate-/l/_binary64`
232×	`associate-/r/_binary64`
156×	`cancel-sign-sub-inv_binary64`
132×	`associate-/l*_binary64`
119×	`times-frac_binary64`
104×	`associate-l_binary64`
97×	`unswap-sqr_binary64`
85×	`distribute-rgt-out_binary64`
84×	`associate-r_binary64`
82×	`sub-neg_binary64`
76×	`associate-*l/_binary64`
74×	`*-commutative_binary64`
72×	`distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_binary64`
65×	`distribute-lft-neg-in_binary64`
58×	`distribute-lft-neg-out_binary64`
56×	`unsub-neg_binary64`
52×	`distribute-lft-out_binary64` `associate-*r/_binary64`
47×	`+-commutative_binary64`
45×	`associate-+l+_binary64`
44×	`neg-sub0_binary64`
43×	`distribute-neg-frac_binary64`
35×	`neg-mul-1_binary64`
34×	`cube-prod_binary64`
32×	`associate-+r+_binary64`
29×	`distribute-neg-in_binary64`
27×	`sqr-pow_binary64`
22×	`distribute-frac-neg_binary64`
20×	`difference-of-squares_binary64`
19×	`cube-div_binary64`
17×	`distribute-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
15×	`cube-unmult_binary64`
14×	`unpow3_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
13×	`*-rgt-identity_binary64`
11×	`log-prod_binary64` `+-rgt-identity_binary64`
10×	`sqr-neg_binary64` `/-rgt-identity_binary64`
9×	`sub0-neg_binary64`
8×	`distribute-rgt1-in_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64`
5×	`cube-neg_binary64` `swap-sqr_binary64`
4×	`log-div_binary64` `*-lft-identity_binary64`
3×	`rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`

Counts

66 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1191
1	249	1114
2	661	1072
3	1864	1063
4	4783	1063
5	5591	1063

prune11.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Error

0.0b

Counts

32 → 5

Compiler

Compiled 202 to 99 computations (51% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite134.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/l/_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
7.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 2139 to 707 computations (66.9% saved)

series132.0ms (4.2%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

40.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
35.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
32.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 1430 to 1281 computations (10.4% saved)

simplify184.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64`
335×	`distribute-rgt-in_binary64`
284×	`distribute-lft-in_binary64`
149×	`sqr-pow_binary64`
129×	`log-div_binary64`
100×	`associate-*l/_binary64`
97×	`associate-/l*_binary64`
93×	`associate-*r/_binary64`
87×	`log-prod_binary64`
84×	`cube-div_binary64`
65×	`times-frac_binary64`
58×	`exp-prod_binary64` `+-commutative_binary64`
56×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `*-commutative_binary64`
55×	`distribute-lft-neg-in_binary64`
54×	`associate-r_binary64`
49×	`unpow3_binary64` `cube-prod_binary64`
48×	`cube-mult_binary64`
47×	`sub-neg_binary64`
45×	`associate-/r*_binary64`
44×	`neg-sub0_binary64` `associate-l_binary64`
43×	`neg-mul-1_binary64`
40×	`log-pow_binary64`
38×	`distribute-neg-frac_binary64`
35×	`swap-sqr_binary64`
34×	`associate-+r+_binary64`
32×	`rem-cbrt-cube_binary64` `associate-/l/_binary64`
30×	`cancel-sign-sub-inv_binary64` `associate-+l+_binary64`
21×	`*-rgt-identity_binary64`
20×	`unsub-neg_binary64` `distribute-rgt-out_binary64`
15×	`rem-sqrt-square_binary64` `associate-/r/_binary64` `associate--r+_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`pow-sqr_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`div-sub_binary64`
9×	`pow-plus_binary64` `*-lft-identity_binary64`
8×	`distribute-lft-out_binary64`
7×	`cube-unmult_binary64`
5×	`log-rec_binary64` `difference-of-squares_binary64`
4×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

248 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	5174
1	644	4784
2	2062	4644
3	4903	4644
4	4966	4644

prune53.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	181	4	185

Error

0.0b

Counts

185 → 4

Compiler

Compiled 1115 to 460 computations (58.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))

rewrite89.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `associate-/r*_binary64`
4×	`div-exp_binary64` `prod-exp_binary64` `associate-/r/_binary64` `associate-r_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*r/_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `distribute-lft-out_binary64` `-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 91

Calls

2 calls:

13.0ms	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
5.0ms	(/.f64 1 (-.f64 n f))

Compiler

Compiled 1386 to 572 computations (58.7% saved)

series71.0ms (2.2%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

31.0ms	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
30.0ms	(/.f64 1 (-.f64 n f))

Compiler

Compiled 942 to 758 computations (19.5% saved)

simplify127.0ms (4%)

Algorithm

1×	egg-herbie

Rules

820×	`div-sub_binary64`
499×	`times-frac_binary64`
384×	`distribute-rgt-in_binary64`
355×	`distribute-lft-in_binary64`
284×	`associate-/l*_binary64`
233×	`associate-*l/_binary64`
194×	`cancel-sign-sub-inv_binary64`
172×	`associate-/r*_binary64`
166×	`unswap-sqr_binary64`
162×	`*-commutative_binary64`
157×	`associate-*r/_binary64`
113×	`sub-neg_binary64`
94×	`associate-+l+_binary64`
82×	`associate-l_binary64`
81×	`associate-+r+_binary64`
79×	`associate-r_binary64`
74×	`+-commutative_binary64`
72×	`*-lft-identity_binary64`
69×	`*-rgt-identity_binary64`
65×	`associate-/r/_binary64`
63×	`exp-prod_binary64`
54×	`neg-mul-1_binary64`
53×	`neg-sub0_binary64` `sqr-pow_binary64`
52×	`unsub-neg_binary64`
47×	`swap-sqr_binary64`
40×	`cube-prod_binary64`
37×	`exp-sum_binary64` `cube-div_binary64`
27×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `associate-+r-_binary64`
25×	`associate-/l/_binary64` `associate-+l-_binary64`
22×	`exp-diff_binary64` `distribute-lft-neg-in_binary64` `associate--r+_binary64`
21×	`log-prod_binary64`
20×	`unpow3_binary64`
18×	`/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64`
17×	`log-div_binary64`
16×	`+-rgt-identity_binary64`
15×	`sub0-neg_binary64`
14×	`cube-mult_binary64` `distribute-rgt-out_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-lft-neg-out_binary64`
8×	`distribute-rgt-neg-out_binary64`
7×	`unpow1/2_binary64`
6×	`sqr-neg_binary64` `pow-sqr_binary64`
5×	`log-rec_binary64` `cube-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
4×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
3×	`pow-plus_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `distribute-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` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-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-lft-out--_binary64`

Counts

133 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2038
1	450	1876
2	1284	1805
3	3460	1805
4	4691	1805
5	6060	1805

prune45.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Error

Counts

102 → 5

Compiler

Compiled 891 to 348 computations (60.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
0.0b	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))

rewrite240.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

306×	`*-un-lft-identity_binary64`
238×	`cbrt-prod_binary64`
190×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
53×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
44×	`distribute-lft-out--_binary64`
32×	`difference-of-squares_binary64`
29×	`associate-l_binary64` `associate-r_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 244

Calls

4 calls:

41.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
7.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))

Compiler

Compiled 6530 to 748 computations (88.5% saved)

series164.0ms (5.2%)

Error

Counts

4 → 57

Calls

4 calls:

53.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
30.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
28.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
26.0ms	(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))

Compiler

Compiled 2732 to 1591 computations (41.8% saved)

simplify397.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

427×	`times-frac_binary64`
396×	`unswap-sqr_binary64`
289×	`associate-/l*_binary64`
238×	`*-commutative_binary64`
228×	`associate-/r*_binary64`
136×	`associate-r_binary64`
126×	`associate-+l+_binary64`
125×	`div-sub_binary64`
123×	`sqr-pow_binary64` `associate-l_binary64`
100×	`associate-*l/_binary64`
84×	`associate-+r+_binary64`
80×	`swap-sqr_binary64`
79×	`associate-*r/_binary64`
72×	`+-commutative_binary64`
70×	`distribute-rgt-in_binary64`
67×	`distribute-lft-in_binary64` `associate-/r/_binary64`
65×	`distribute-rgt-out_binary64`
59×	`neg-mul-1_binary64` `sub-neg_binary64`
52×	`*-rgt-identity_binary64`
51×	`log-prod_binary64`
47×	`cube-prod_binary64`
46×	`exp-prod_binary64`
45×	`*-lft-identity_binary64`
41×	`rem-sqrt-square_binary64`
38×	`cancel-sign-sub-inv_binary64`
33×	`pow-sqr_binary64`
31×	`unpow3_binary64`
30×	`difference-of-squares_binary64` `associate-/l/_binary64`
24×	`unsub-neg_binary64`
20×	`cube-mult_binary64`
19×	`neg-sub0_binary64`
18×	`pow-plus_binary64`
17×	`log-pow_binary64`
16×	`cube-unmult_binary64`
12×	`/-rgt-identity_binary64`
10×	`cube-div_binary64`
9×	`unpow1/2_binary64` `div0_binary64` `distribute-rgt-neg-in_binary64`
8×	`unpow2_binary64` `distribute-lft-neg-in_binary64`
6×	`unpow1_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
5×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
4×	`count-2_binary64`
3×	`distribute-lft-neg-out_binary64`
2×	`rem-3cbrt-lft_binary64` `sqr-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `*-inverses_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` `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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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-neg-frac_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` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

301 → 277

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	230	8707
1	409	8659
2	1192	8265
3	2912	8095
4	4397	7811
5	4835	7811
6	4973	7811
7	4910	7811

prune133.0ms (4.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	277	5	282

Error

Counts

282 → 5

Compiler

Compiled 5674 to 885 computations (84.4% saved)

regimes219.0ms (6.9%)

Accuracy

Total 0.0b remaining (58.4%)

Threshold costs 0.0b (58.4%)

Compiler

Compiled 2686 to 1716 computations (36.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_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	8	13
1	13	13
2	17	13
3	19	13
4	20	13
5	19	13

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample525.0ms (16.6%)

Algorithm

1×

intervals

Results

206.0ms

8000×

body

128

valid

Compiler

Compiled 82 to 62 computations (24.4% saved)

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10

Details

analyze332.0ms (10.5%)

sample17.0ms (0.5%)

simplify68.0ms (2.1%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite52.0ms (1.6%)

series49.0ms (1.5%)

simplify91.0ms (2.9%)

prune11.0ms (0.4%)

localize7.0ms (0.2%)

rewrite134.0ms (4.2%)

series132.0ms (4.2%)

simplify184.0ms (5.8%)

prune53.0ms (1.7%)

localize5.0ms (0.2%)

rewrite89.0ms (2.8%)

series71.0ms (2.2%)

simplify127.0ms (4%)

prune45.0ms (1.4%)

localize8.0ms (0.3%)

rewrite240.0ms (7.6%)

series164.0ms (5.2%)

simplify397.0ms (12.5%)

prune133.0ms (4.2%)

regimes219.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample525.0ms (16.6%)

Profiling

Iter	Nodes	Cost
0	11	24
1	24	24
2	50	24
3	92	24
4	207	24
5	300	20
6	740	20
7	885	20
8	892	20
9	898	20
10	883	20
11	881	20
12	883	20
13	883	20
14	782	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	66	12
4	140	12
5	187	12
6	535	10
7	789	10
8	965	10
9	893	10
10	886	10
11	885	10
12	887	10
13	887	10
14	782	10