Details

analyze137.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

508×	`div-sub_binary64`
484×	`times-frac_binary64`
291×	`associate-/l*_binary64`
250×	`cancel-sign-sub-inv_binary64`
180×	`distribute-rgt-in_binary64`
170×	`distribute-lft-in_binary64`
169×	`sub-neg_binary64`
140×	`associate-/r*_binary64`
122×	`distribute-lft-neg-in_binary64`
104×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
88×	`unsub-neg_binary64`
68×	`distribute-neg-frac_binary64`
56×	`associate-*r/_binary64`
53×	`distribute-frac-neg_binary64`
49×	`associate-l_binary64`
48×	`*-commutative_binary64`
43×	`distribute-rgt-neg-out_binary64`
42×	`associate-*l/_binary64`
40×	`distribute-lft-neg-out_binary64`
39×	`associate-/l/_binary64`
32×	`neg-mul-1_binary64`
24×	`neg-sub0_binary64` `associate--r+_binary64`
20×	`associate--l-_binary64` `+-commutative_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r/_binary64`
14×	`div0_binary64`
13×	`*-lft-identity_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate--r-_binary64`
8×	`*-rgt-identity_binary64` `sub0-neg_binary64`
6×	`+-lft-identity_binary64` `associate-+l-_binary64`
5×	`associate-+r-_binary64` `associate-+r+_binary64`
4×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`
2×	`*-inverses_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_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` `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` `mul-1-neg_binary64` `--rgt-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	9	20
1	17	20
2	29	20
3	47	20
4	83	20
5	123	20
6	202	20
7	342	20
8	826	20
9	1135	20
10	884	20
11	865	20
12	887	20
13	869	20
14	869	20
15	881	20
16	907	20
17	883	20
18	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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

365×	`times-frac_binary64`
344×	`div-sub_binary64`
156×	`associate-/l*_binary64`
143×	`distribute-rgt-in_binary64`
129×	`sub-neg_binary64`
124×	`distribute-lft-in_binary64`
118×	`cancel-sign-sub-inv_binary64`
106×	`associate-/r*_binary64`
99×	`unsub-neg_binary64`
62×	`associate-/r/_binary64`
48×	`associate-/l/_binary64`
40×	`distribute-lft-neg-in_binary64`
39×	`distribute-neg-frac_binary64`
36×	`distribute-rgt-neg-in_binary64`
34×	`distribute-frac-neg_binary64`
31×	`neg-mul-1_binary64`
30×	`associate-*l/_binary64`
21×	`neg-sub0_binary64` `associate--r+_binary64`
20×	`associate-r_binary64` `associate--r-_binary64`
19×	`sub0-neg_binary64` `associate--l-_binary64`
17×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
16×	`mul0-rgt_binary64` `+-commutative_binary64`
13×	`distribute-neg-in_binary64`
12×	`*-lft-identity_binary64` `mul0-lft_binary64`
11×	`associate-l_binary64` `*-commutative_binary64`
10×	`associate-+l-_binary64`
9×	`/-rgt-identity_binary64` `div0_binary64` `associate-+l+_binary64`
7×	`*-rgt-identity_binary64` `+-lft-identity_binary64` `associate-+r-_binary64`
6×	`associate-+r+_binary64`
5×	`remove-double-neg_binary64` `associate-*r/_binary64`
4×	`+-rgt-identity_binary64`
3×	`distribute-neg-out_binary64`
2×	`mul-1-neg_binary64` `*-inverses_binary64` `remove-double-div_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `distribute-rgt-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` `+-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-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	29	10
4	49	10
5	75	10
6	111	10
7	163	10
8	251	10
9	569	10
10	683	10
11	967	10
12	866	10
13	877	10
14	879	10
15	883	10
16	883	10
17	782	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 5 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite48.0ms (1.9%)

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-/l*_binary64`
4×	`associate-/r*_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` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 578 to 131 computations (77.3% saved)

series40.0ms (1.6%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

32.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 416 to 366 computations (12% saved)

simplify94.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

610×	`div-sub_binary64`
521×	`cancel-sign-sub-inv_binary64`
355×	`distribute-rgt-in_binary64`
194×	`distribute-neg-frac_binary64`
175×	`distribute-rgt-neg-in_binary64`
167×	`distribute-lft-neg-in_binary64`
164×	`associate-/l*_binary64`
160×	`times-frac_binary64`
135×	`associate-/r*_binary64`
133×	`sub-neg_binary64`
120×	`unswap-sqr_binary64`
105×	`associate-*l/_binary64`
103×	`distribute-lft-in_binary64`
91×	`distribute-rgt-out_binary64`
89×	`associate-l_binary64`
88×	`associate-*r/_binary64`
82×	`associate-r_binary64`
70×	`associate-/r/_binary64`
68×	`*-commutative_binary64`
67×	`distribute-rgt-neg-out_binary64`
64×	`neg-sub0_binary64` `distribute-rgt-out--_binary64`
60×	`associate-/l/_binary64`
59×	`neg-mul-1_binary64`
56×	`distribute-lft-out_binary64`
55×	`distribute-lft-neg-out_binary64`
50×	`+-commutative_binary64`
39×	`distribute-frac-neg_binary64`
37×	`associate-+l+_binary64`
29×	`cube-prod_binary64` `unsub-neg_binary64`
28×	`sqr-pow_binary64`
27×	`distribute-lft-out--_binary64`
24×	`associate-+r+_binary64`
23×	`associate--l+_binary64` `associate-+l-_binary64`
19×	`cube-div_binary64`
17×	`unpow3_binary64`
16×	`*-rgt-identity_binary64` `associate--r+_binary64`
15×	`cube-unmult_binary64` `associate-+r-_binary64`
12×	`distribute-neg-in_binary64`
11×	`sqr-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
8×	`cube-mult_binary64` `distribute-rgt1-in_binary64`
7×	`/-rgt-identity_binary64`
6×	`log-prod_binary64` `pow-plus_binary64` `exp-diff_binary64`
5×	`cube-neg_binary64`
4×	`log-div_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
3×	`exp-sum_binary64` `rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`exp-prod_binary64` `exp-neg_binary64` `1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `div-exp_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` `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` `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` `distribute-neg-out_binary64` `count-2_binary64`

Counts

70 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1289
1	274	1229
2	704	1191
3	2287	1155
4	4625	1155
5	5540	1155

prune18.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 228 to 107 computations (53.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
0.1b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
0.2b	(pow.f64 (/.f64 x y) 3)
6.8b	(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))

rewrite245.0ms (9.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
61×	`*-un-lft-identity_binary64`
57×	`add-cube-cbrt_binary64`
52×	`cancel-sign-sub-inv_binary64`
29×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
28×	`associate-+r+_binary64`
16×	`associate-l_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-*r/_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
12×	`associate-r_binary64`
11×	`cube-div_binary64`
10×	`frac-add_binary64`
9×	`pow1_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `difference-of-squares_binary64`
3×	`associate-*l/_binary64` `cube-mult_binary64` `pow-unpow_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `unpow3_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`

Counts

4 → 188

Calls

4 calls:

28.0ms	(.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
23.0ms	(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
15.0ms	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
5.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 5269 to 2587 computations (50.9% saved)

series161.0ms (6.5%)

Error

Counts

4 → 42

Calls

4 calls:

47.0ms	(.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
42.0ms	(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
39.0ms	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
24.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 1398 to 1138 computations (18.6% saved)

simplify182.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-l_binary64`
459×	`associate-r_binary64`
246×	`associate-*l/_binary64`
240×	`*-commutative_binary64`
216×	`associate-*r/_binary64`
149×	`log-div_binary64` `log-prod_binary64`
146×	`distribute-rgt-in_binary64`
141×	`distribute-lft-in_binary64`
138×	`cube-prod_binary64`
126×	`exp-prod_binary64`
114×	`associate-/l*_binary64`
102×	`cube-div_binary64`
87×	`neg-mul-1_binary64`
67×	`sqr-pow_binary64`
54×	`distribute-lft-neg-out_binary64`
52×	`div-sub_binary64`
48×	`+-commutative_binary64`
45×	`log-pow_binary64`
43×	`unpow3_binary64`
40×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
37×	`cancel-sign-sub-inv_binary64`
33×	`times-frac_binary64` `unswap-sqr_binary64`
32×	`distribute-rgt-neg-in_binary64`
29×	`neg-sub0_binary64` `sub-neg_binary64`
28×	`associate-/r*_binary64`
24×	`distribute-neg-frac_binary64`
22×	`distribute-lft-neg-in_binary64`
20×	`associate-/l/_binary64`
18×	`exp-sum_binary64`
15×	`rem-sqrt-square_binary64`
14×	`pow-plus_binary64`
11×	`associate-+l+_binary64`
9×	`swap-sqr_binary64` `associate-+r+_binary64`
8×	`log-rec_binary64`
7×	`distribute-rgt-out_binary64`
6×	`-rgt-identity_binary64` `-lft-identity_binary64`
5×	`exp-diff_binary64` `cube-unmult_binary64` `associate--l+_binary64`
4×	`pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `prod-exp_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `unsub-neg_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

230 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	4430
1	924	3935
2	3962	3913
3	4855	3913
4	4932	3913

prune105.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	196	3	199

Error

Counts

199 → 3

Compiler

Compiled 3212 to 1630 computations (49.3% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
0.2b	(pow.f64 (/.f64 y x) 3)
10.1b	(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))

rewrite154.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64`
47×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
32×	`cancel-sign-sub-inv_binary64`
26×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `cube-div_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64` `frac-sub_binary64` `div-inv_binary64`
4×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*r/_binary64`
3×	`cube-mult_binary64` `pow-unpow_binary64`
2×	`associate-*l/_binary64` `unpow3_binary64` `sqr-pow_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64` `distribute-lft-in_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-sqr--1_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

3 → 138

Calls

3 calls:

21.0ms	(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))
13.0ms	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
5.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 3146 to 1631 computations (48.2% saved)

series110.0ms (4.5%)

Error

Counts

3 → 30

Calls

3 calls:

40.0ms	(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))
36.0ms	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
26.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 1040 to 828 computations (20.4% saved)

simplify148.0ms (6%)

Algorithm

1×	egg-herbie

Rules

411×	`associate-r_binary64`
409×	`associate-l_binary64`
368×	`log-prod_binary64`
198×	`exp-prod_binary64`
188×	`associate-*l/_binary64`
169×	`associate-*r/_binary64`
153×	`log-div_binary64`
148×	`*-commutative_binary64`
145×	`cube-prod_binary64`
129×	`sqr-pow_binary64`
106×	`distribute-rgt-in_binary64`
102×	`cube-div_binary64`
101×	`distribute-lft-in_binary64`
98×	`neg-sub0_binary64`
89×	`neg-mul-1_binary64`
85×	`sub-neg_binary64`
78×	`associate-/l*_binary64`
76×	`cancel-sign-sub-inv_binary64`
70×	`distribute-rgt-neg-in_binary64`
56×	`distribute-lft-neg-in_binary64`
55×	`log-pow_binary64`
43×	`unpow3_binary64`
40×	`cube-mult_binary64`
38×	`unswap-sqr_binary64`
37×	`unsub-neg_binary64`
36×	`-rgt-identity_binary64` `-lft-identity_binary64` `+-commutative_binary64`
29×	`times-frac_binary64`
25×	`distribute-lft-neg-out_binary64`
23×	`associate-/r*_binary64`
22×	`div-sub_binary64`
21×	`mul-1-neg_binary64` `pow-sqr_binary64`
19×	`pow-plus_binary64`
18×	`rem-sqrt-square_binary64` `difference-of-sqr--1_binary64` `associate-/l/_binary64`
16×	`distribute-neg-frac_binary64`
11×	`exp-diff_binary64`
10×	`exp-sum_binary64`
9×	`swap-sqr_binary64` `distribute-rgt-out_binary64`
8×	`distribute-rgt-neg-out_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
7×	`cube-unmult_binary64`
6×	`distribute-neg-in_binary64`
5×	`log-rec_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64`
4×	`rem-square-sqrt_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `rem-cube-cbrt_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `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` `sqr-abs_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `count-2_binary64` `associate--l-_binary64`

Counts

168 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2866
1	736	2554
2	3516	2534
3	4564	2534
4	4933	2534

prune65.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Error

Counts

152 → 3

Compiler

Compiled 1879 to 995 computations (47% saved)

regimes337.0ms (13.6%)

Accuracy

Total 0.0b remaining (77.5%)

Threshold costs 0.0b (77.5%)

Compiler

Compiled 1677 to 1095 computations (34.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`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` `1-exp_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	6	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample520.0ms (21%)

Algorithm

1×

intervals

Results

194.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 59 computations (20.3% saved)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	29	10
4	49	10
5	75	10
6	111	10
7	163	10
8	251	10
9	569	10
10	683	10
11	967	10
12	866	10
13	877	10
14	879	10
15	883	10
16	883	10
17	782	10

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	29	10
4	49	10
5	75	10
6	111	10
7	163	10
8	251	10
9	569	10
10	683	10
11	967	10
12	866	10
13	877	10
14	879	10
15	883	10
16	883	10
17	782	10

Details

analyze137.0ms (5.5%)

sample14.0ms (0.6%)

simplify69.0ms (2.8%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite48.0ms (1.9%)

series40.0ms (1.6%)

simplify94.0ms (3.8%)

prune18.0ms (0.7%)

localize10.0ms (0.4%)

rewrite245.0ms (9.9%)

series161.0ms (6.5%)

simplify182.0ms (7.3%)

prune105.0ms (4.2%)

localize12.0ms (0.5%)

rewrite154.0ms (6.2%)

series110.0ms (4.5%)

simplify148.0ms (6%)

prune65.0ms (2.6%)

regimes337.0ms (13.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample520.0ms (21%)

Profiling

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	29	10
4	49	10
5	75	10
6	111	10
7	163	10
8	251	10
9	569	10
10	683	10
11	967	10
12	866	10
13	877	10
14	879	10
15	883	10
16	883	10
17	782	10