Details

analyze20.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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-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` `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` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	18	10
3	16	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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-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` `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` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	18	10
3	16	10

prune1.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) 2)
0.0b	(-.f64 (.f64 (.f64 x x) 2) 1)

rewrite43.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)
6.0ms	(.f64 (.f64 x x) 2)

Compiler

Compiled 429 to 283 computations (34% saved)

series20.0ms (1.1%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

10.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)
6.0ms	(.f64 (.f64 x x) 2)

Compiler

Compiled 108 to 108 computations (0% saved)

simplify89.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

481×	`cancel-sign-sub-inv_binary64`
415×	`associate-+l+_binary64`
388×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`
321×	`associate-+r+_binary64`
285×	`associate-l_binary64`
263×	`*-commutative_binary64`
214×	`unswap-sqr_binary64`
196×	`unsub-neg_binary64`
188×	`associate-r_binary64`
173×	`distribute-rgt-out_binary64`
136×	`sqr-pow_binary64`
111×	`log-div_binary64`
95×	`exp-prod_binary64`
91×	`sub-neg_binary64`
88×	`associate-/l*_binary64`
79×	`log-prod_binary64`
71×	`cube-prod_binary64`
53×	`times-frac_binary64`
47×	`pow-sqr_binary64`
46×	`associate-/r*_binary64`
44×	`*-rgt-identity_binary64`
36×	`cube-div_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
35×	`*-lft-identity_binary64`
34×	`associate-/l/_binary64`
33×	`+-commutative_binary64`
31×	`swap-sqr_binary64`
28×	`distribute-lft-neg-in_binary64`
25×	`associate-/r/_binary64`
24×	`neg-mul-1_binary64`
23×	`rem-sqrt-square_binary64` `difference-of-sqr--1_binary64`
20×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
18×	`log-pow_binary64`
17×	`pow-plus_binary64` `exp-sum_binary64` `distribute-neg-in_binary64`
14×	`mul-1-neg_binary64` `associate-+l-_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`unpow3_binary64` `difference-of-sqr-1_binary64` `associate--l+_binary64` `associate-+r-_binary64`
11×	`log-rec_binary64` `distribute-lft1-in_binary64`
10×	`cube-unmult_binary64` `sub0-neg_binary64`
8×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
7×	`+-rgt-identity_binary64` `count-2_binary64`
6×	`unpow1/2_binary64` `prod-exp_binary64`
5×	`exp-lft-sqr_binary64` `div-exp_binary64` `/-rgt-identity_binary64`
4×	`exp-sqrt_binary64` `div-sub_binary64` `remove-double-neg_binary64`
3×	`exp-diff_binary64` `distribute-neg-out_binary64` `associate-*l/_binary64`
2×	`--rgt-identity_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_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-cbrt_binary64` `rec-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

42 → 34

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	436
1	140	403
2	343	391
3	795	391
4	1427	391
5	3536	391
6	4918	391
7	4921	391

prune16.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

0.0b

Counts

35 → 2

Compiler

Compiled 251 to 173 computations (31.1% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 x (+.f64 x (*.f64 2 (pow.f64 x 3)))))
0.0b	(*.f64 (pow.f64 x 6) 8)
0.1b	(.f64 x (+.f64 x (.f64 2 (pow.f64 x 3))))
11.3b	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 2 (.f64 x (+.f64 x (.f64 2 (pow.f64 x 3)))))))

rewrite169.0ms (9.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-l_binary64`
11×	`pow1_binary64`
9×	`times-frac_binary64`
7×	`prod-exp_binary64` `associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`cbrt-unprod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `sqr-pow_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 102

Calls

4 calls:

7.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 2 (.f64 x (+.f64 x (.f64 2 (pow.f64 x 3)))))))
7.0ms	(.f64 2 (.f64 x (+.f64 x (*.f64 2 (pow.f64 x 3)))))
6.0ms	(.f64 x (+.f64 x (.f64 2 (pow.f64 x 3))))
5.0ms	(*.f64 (pow.f64 x 6) 8)

Compiler

Compiled 3134 to 2533 computations (19.2% saved)

series82.0ms (4.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

23.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 2 (.f64 x (+.f64 x (.f64 2 (pow.f64 x 3)))))))
21.0ms	(.f64 x (+.f64 x (.f64 2 (pow.f64 x 3))))
20.0ms	(.f64 2 (.f64 x (+.f64 x (*.f64 2 (pow.f64 x 3)))))
10.0ms	(*.f64 (pow.f64 x 6) 8)

Compiler

Compiled 648 to 584 computations (9.9% saved)

simplify142.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

582×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
210×	`log-prod_binary64` `associate-l_binary64`
196×	`associate-r_binary64`
189×	`exp-prod_binary64`
144×	`cube-prod_binary64`
107×	`cancel-sign-sub-inv_binary64`
105×	`distribute-rgt-neg-in_binary64`
97×	`*-commutative_binary64`
89×	`associate-+l+_binary64`
87×	`distribute-lft-neg-in_binary64`
73×	`unswap-sqr_binary64`
62×	`associate-+r+_binary64`
58×	`associate-/l*_binary64`
48×	`sqr-pow_binary64`
44×	`times-frac_binary64`
39×	`swap-sqr_binary64`
37×	`associate-/r*_binary64`
36×	`distribute-rgt-out_binary64`
35×	`associate-/l/_binary64`
33×	`associate-*l/_binary64`
32×	`+-commutative_binary64`
31×	`*-rgt-identity_binary64`
30×	`distribute-lft-neg-out_binary64`
28×	`log-pow_binary64`
26×	`-lft-identity_binary64` `associate-r/_binary64`
25×	`unpow3_binary64` `sub-neg_binary64`
22×	`distribute-neg-in_binary64` `associate-+l-_binary64`
21×	`neg-sub0_binary64`
20×	`distribute-rgt-neg-out_binary64`
19×	`neg-mul-1_binary64`
17×	`cube-mult_binary64`
16×	`associate-/r/_binary64`
12×	`pow-plus_binary64` `distribute-lft-out_binary64` `associate--r+_binary64` `associate-+r-_binary64`
11×	`exp-sum_binary64`
10×	`cube-unmult_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`div-sub_binary64`
6×	`exp-lft-sqr_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
5×	`log-div_binary64` `prod-exp_binary64`
4×	`exp-diff_binary64` `/-rgt-identity_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`
2×	`unpow2_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `distribute-lft-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-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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

123 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2796
1	450	2596
2	1496	2584
3	4526	2584
4	4971	2584
5	4984	2584

prune93.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	96	2	98

Error

Counts

98 → 2

Compiler

Compiled 2099 to 1644 computations (21.7% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 x 6) 8)
0.2b	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))
0.2b	(.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2))
11.3b	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))))

rewrite182.0ms (10%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`add-exp-log_binary64`
16×	`associate-l_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64`
9×	`times-frac_binary64`
7×	`prod-exp_binary64` `sqrt-prod_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-prod-down_binary64` `associate-*l/_binary64` `unpow-prod-down_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `sqr-pow_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 103

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))
8.0ms	(.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2))
7.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))))
5.0ms	(*.f64 (pow.f64 x 6) 8)

Compiler

Compiled 3650 to 2927 computations (19.8% saved)

series100.0ms (5.5%)

Error

Counts

4 → 21

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))
25.0ms	(.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2))
24.0ms	(/.f64 (+.f64 -1 (.f64 (pow.f64 x 6) 8)) (+.f64 1 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 x x) (*.f64 2 (pow.f64 x 4))) (sqrt.f64 2)))))
11.0ms	(*.f64 (pow.f64 x 6) 8)

Compiler

Compiled 996 to 923 computations (7.3% saved)

simplify122.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-in_binary64`
597×	`distribute-lft-in_binary64`
255×	`exp-prod_binary64`
213×	`associate-l_binary64`
210×	`log-prod_binary64`
205×	`associate-r_binary64`
175×	`unswap-sqr_binary64`
125×	`distribute-rgt-neg-in_binary64`
122×	`cancel-sign-sub-inv_binary64`
107×	`distribute-lft-neg-in_binary64`
105×	`*-commutative_binary64`
67×	`associate-/l*_binary64`
65×	`cube-prod_binary64`
59×	`sqr-pow_binary64`
44×	`times-frac_binary64` `swap-sqr_binary64`
36×	`unpow3_binary64`
35×	`associate-/l/_binary64`
31×	`distribute-lft-neg-out_binary64`
29×	`*-rgt-identity_binary64`
28×	`distribute-rgt-out_binary64`
26×	`sub-neg_binary64`
25×	`*-lft-identity_binary64`
24×	`neg-sub0_binary64`
23×	`+-commutative_binary64`
22×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
20×	`log-pow_binary64`
19×	`distribute-rgt-neg-out_binary64`
18×	`distribute-lft-out_binary64` `associate-/r/_binary64`
17×	`distribute-rgt-out--_binary64`
15×	`exp-sum_binary64` `associate-*l/_binary64`
12×	`pow-plus_binary64`
11×	`associate-*r/_binary64`
9×	`cube-unmult_binary64`
8×	`div-sub_binary64` `associate-/r*_binary64`
7×	`cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `pow-sqr_binary64`
6×	`exp-lft-sqr_binary64` `unsub-neg_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`unpow1/2_binary64` `/-rgt-identity_binary64`
3×	`unpow2_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r+_binary64` `associate-+l+_binary64`
2×	`log-div_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`exp-sqrt_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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-cbrt_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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

124 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3495
1	462	2836
2	1577	2812
3	4675	2804
4	5028	2804

prune98.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Error

Counts

103 → 2

Compiler

Compiled 2495 to 1962 computations (21.4% saved)

regimes174.0ms (9.6%)

Accuracy

Total 0.0b remaining (64.5%)

Threshold costs 0.0b (64.5%)

Compiler

Compiled 3092 to 2598 computations (16% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 *-commutative_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 neg-mul-1_binary64 neg-sub0_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	7	10
1	13	10
2	14	10
3	12	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample411.0ms (22.6%)

Algorithm

1×

intervals

Results

159.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 50 to 48 computations (4% saved)

Details

analyze20.0ms (1.1%)

sample11.0ms (0.6%)

simplify8.0ms (0.5%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite43.0ms (2.4%)

series20.0ms (1.1%)

simplify89.0ms (4.9%)

prune16.0ms (0.9%)

localize14.0ms (0.8%)

rewrite169.0ms (9.3%)

series82.0ms (4.5%)

simplify142.0ms (7.8%)

prune93.0ms (5.1%)

localize15.0ms (0.8%)

rewrite182.0ms (10%)

series100.0ms (5.5%)

simplify122.0ms (6.7%)

prune98.0ms (5.4%)

regimes174.0ms (9.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample411.0ms (22.6%)

Profiling