Details

analyze241.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

832×	`cube-prod_binary64`
485×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
422×	`swap-sqr_binary64`
365×	`times-frac_binary64`
318×	`cube-div_binary64`
316×	`associate-/l*_binary64`
266×	`*-commutative_binary64`
246×	`associate-/l/_binary64`
236×	`associate-/r*_binary64`
208×	`associate-/r/_binary64`
195×	`unpow3_binary64` `cube-mult_binary64`
163×	`distribute-rgt-out_binary64`
141×	`sqr-pow_binary64`
80×	`associate-*l/_binary64`
77×	`*-lft-identity_binary64`
73×	`*-rgt-identity_binary64`
56×	`unswap-sqr_binary64`
44×	`associate-l_binary64`
40×	`associate-r_binary64`
28×	`distribute-rgt1-in_binary64`
26×	`+-commutative_binary64`
24×	`associate-*r/_binary64`
16×	`pow-sqr_binary64`
15×	`distribute-lft1-in_binary64`
14×	`distribute-lft-out_binary64`
13×	`/-rgt-identity_binary64`
12×	`remove-double-div_binary64`
6×	`lft-mult-inverse_binary64`
3×	`*-inverses_binary64`
2×	`cube-unmult_binary64`
1×	`1-exp_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` `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-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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_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	14	32
1	38	32
2	50	32
3	146	32
4	240	32
5	470	32
6	610	32
7	682	32
8	1363	32
9	1648	32
10	1906	32
11	2219	32
12	2979	32
13	3430	32
14	4283	32
15	5007	32
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
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify107.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

985×	`distribute-rgt-in_binary64`
960×	`distribute-lft-in_binary64`
653×	`associate-/l*_binary64`
602×	`cube-prod_binary64`
535×	`associate-/l/_binary64`
428×	`associate-/r*_binary64`
406×	`unswap-sqr_binary64`
398×	`times-frac_binary64`
368×	`associate-*l/_binary64`
318×	`associate-/r/_binary64`
240×	`cube-div_binary64`
159×	`*-commutative_binary64`
144×	`distribute-rgt-out_binary64`
126×	`unpow3_binary64`
124×	`cube-mult_binary64`
63×	`swap-sqr_binary64`
56×	`sqr-pow_binary64`
54×	`-lft-identity_binary64` `associate-l*_binary64`
42×	`*-rgt-identity_binary64`
38×	`associate-r_binary64`
28×	`associate-*r/_binary64`
25×	`pow-sqr_binary64`
23×	`+-commutative_binary64`
22×	`distribute-rgt1-in_binary64`
20×	`distribute-lft-out_binary64`
10×	`remove-double-div_binary64`
9×	`/-rgt-identity_binary64`
6×	`lft-mult-inverse_binary64`
5×	`distribute-lft1-in_binary64`
4×	`cube-unmult_binary64` `*-inverses_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `1-exp_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_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	9	16
1	22	16
2	28	16
3	69	16
4	100	16
5	206	16
6	379	16
7	360	16
8	684	16
9	768	16
10	860	16
11	1008	16
12	1175	16
13	1412	16
14	2748	16
15	3005	16
16	4321	16
17	5574	16

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

8.4b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
7.8b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite108.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 62

Calls

3 calls:

12.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
12.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
6.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1090 to 636 computations (41.7% saved)

series90.0ms (2.3%)

Error

0.0b

Counts

3 → 41

Calls

3 calls:

31.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
25.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
18.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 839 to 657 computations (21.7% saved)

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/l*_binary64`
349×	`associate-l_binary64`
317×	`distribute-rgt-in_binary64`
314×	`associate-*l/_binary64`
279×	`distribute-lft-in_binary64`
274×	`associate-r_binary64`
245×	`associate-/r*_binary64`
242×	`associate-/l/_binary64`
209×	`associate-*r/_binary64`
176×	`associate-/r/_binary64`
174×	`sub-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-out_binary64`
104×	`unswap-sqr_binary64`
95×	`div-sub_binary64`
78×	`unsub-neg_binary64`
71×	`cube-div_binary64`
68×	`distribute-neg-frac_binary64`
67×	`log-div_binary64`
64×	`neg-mul-1_binary64` `neg-sub0_binary64`
58×	`distribute-rgt-neg-in_binary64`
57×	`sqr-pow_binary64`
54×	`cube-prod_binary64`
49×	`log-prod_binary64` `exp-prod_binary64`
48×	`*-lft-identity_binary64`
47×	`*-rgt-identity_binary64`
46×	`distribute-lft-neg-in_binary64`
44×	`times-frac_binary64`
43×	`distribute-rgt-out--_binary64`
42×	`+-commutative_binary64`
39×	`*-commutative_binary64`
31×	`associate--l+_binary64`
30×	`remove-double-div_binary64` `distribute-neg-in_binary64`
27×	`/-rgt-identity_binary64`
24×	`unpow3_binary64` `swap-sqr_binary64`
22×	`associate-+l+_binary64`
20×	`cube-mult_binary64` `associate--r+_binary64`
16×	`log-rec_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`associate-+r+_binary64`
9×	`cube-unmult_binary64`
8×	`pow-plus_binary64` `exp-sum_binary64`
6×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
4×	`distribute-neg-out_binary64`
3×	`log-pow_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
2×	`div0_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64` `associate-+l-_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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

103 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1543
1	341	1382
2	1228	1350
3	3968	1350
4	4669	1350
5	4986	1350

prune45.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	5	66

Error

0.0b

Counts

66 → 5

Compiler

Compiled 749 to 396 computations (47.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite132.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`associate-l_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

15.0ms	(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
8.0ms	(/.f64 x (+.f64 x 1))
6.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1525 to 904 computations (40.7% saved)

series86.0ms (2.2%)

Error

0.0b

Counts

3 → 40

Calls

3 calls:

35.0ms	(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
19.0ms	(+.f64 (/.f64 x y) 1)
12.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 904 to 701 computations (22.5% saved)

simplify121.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-l_binary64`
383×	`times-frac_binary64`
382×	`associate-/l*_binary64`
335×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`
307×	`associate-r_binary64`
300×	`associate-*r/_binary64`
296×	`associate-*l/_binary64`
177×	`associate-/r*_binary64`
168×	`sub-neg_binary64`
161×	`div-sub_binary64`
155×	`associate--l+_binary64`
154×	`cancel-sign-sub-inv_binary64`
105×	`unswap-sqr_binary64`
94×	`associate-/l/_binary64`
69×	`cube-div_binary64`
66×	`associate-/r/_binary64`
65×	`*-rgt-identity_binary64`
62×	`cube-prod_binary64`
61×	`log-div_binary64`
60×	`*-lft-identity_binary64`
59×	`log-prod_binary64`
57×	`*-commutative_binary64`
55×	`exp-prod_binary64`
51×	`+-commutative_binary64`
44×	`sqr-pow_binary64`
43×	`unsub-neg_binary64`
37×	`/-rgt-identity_binary64`
29×	`neg-sub0_binary64`
27×	`unpow3_binary64` `neg-mul-1_binary64`
24×	`swap-sqr_binary64` `associate-+l+_binary64`
22×	`cube-mult_binary64` `associate--r+_binary64`
21×	`distribute-rgt-out_binary64`
16×	`log-rec_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64`
15×	`associate-+r+_binary64`
10×	`cube-unmult_binary64`
9×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
7×	`distribute-rgt-neg-in_binary64` `distribute-rgt1-in_binary64`
6×	`pow-plus_binary64` `exp-sum_binary64` `pow-sqr_binary64`
5×	`rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-lft-neg-in_binary64`
4×	`unpow1/2_binary64` `mul-1-neg_binary64` `associate--l-_binary64`
3×	`log-pow_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64`
2×	`distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `difference-of-sqr--1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `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` `exp-diff_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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

127 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	2054
1	398	1908
2	1286	1854
3	4163	1854
4	4691	1854
5	5009	1854

prune49.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Error

0.0b

Counts

71 → 5

Compiler

Compiled 794 to 459 computations (42.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1))
0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1))
0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1))
0.2b	(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) (cbrt.f64 (+.f64 (/.f64 x y) 1)))

rewrite203.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) (cbrt.f64 (+.f64 (/.f64 x y) 1)))
6.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
6.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
6.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))

Compiler

Compiled 3015 to 1793 computations (40.5% saved)

series232.0ms (5.9%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

49.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) 1)) (cbrt.f64 (+.f64 (/.f64 x y) 1)))
45.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
45.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
44.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))

Compiler

Compiled 4766 to 3513 computations (26.3% saved)

simplify222.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-l_binary64`
295×	`associate-r_binary64`
265×	`times-frac_binary64`
241×	`exp-prod_binary64`
221×	`unswap-sqr_binary64`
215×	`cancel-sign-sub-inv_binary64`
195×	`associate-/l*_binary64`
160×	`div-exp_binary64`
159×	`*-commutative_binary64`
151×	`log-prod_binary64`
131×	`sub-neg_binary64`
125×	`associate-/r*_binary64`
121×	`exp-sum_binary64`
101×	`associate-*l/_binary64`
83×	`div-sub_binary64`
81×	`unsub-neg_binary64`
80×	`associate-*r/_binary64`
79×	`sqr-pow_binary64`
78×	`log-pow_binary64`
74×	`exp-diff_binary64`
65×	`+-commutative_binary64`
59×	`distribute-rgt-in_binary64`
53×	`exp-to-pow_binary64`
52×	`distribute-lft-in_binary64`
50×	`prod-exp_binary64`
48×	`neg-sub0_binary64`
44×	`neg-mul-1_binary64`
39×	`distribute-neg-out_binary64` `associate-+r+_binary64`
38×	`log-div_binary64`
37×	`associate-+r-_binary64`
36×	`distribute-neg-frac_binary64` `associate-+l+_binary64`
35×	`*-rgt-identity_binary64` `associate-/r/_binary64`
34×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
31×	`cube-prod_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
28×	`pow-plus_binary64` `associate--l+_binary64`
27×	`/-rgt-identity_binary64`
23×	`unpow1/3_binary64`
22×	`unpow3_binary64`
21×	`exp-neg_binary64` `pow-sqr_binary64` `distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
18×	`distribute-lft-neg-in_binary64`
16×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
13×	`distribute-frac-neg_binary64`
12×	`exp-lft-sqr_binary64`
11×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
10×	`sub0-neg_binary64` `associate--r-_binary64`
9×	`distribute-lft-out_binary64` `associate--l-_binary64`
7×	`log-rec_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
6×	`mul-1-neg_binary64`
5×	`unpow2_binary64` `--rgt-identity_binary64` `distribute-rgt1-in_binary64`
4×	`unpow1/2_binary64` `rec-exp_binary64` `remove-double-neg_binary64` `associate--r+_binary64`
3×	`cube-mult_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`
2×	`unpow1_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `count-2_binary64`
1×	`log-E_binary64` `pow-base-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `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` `pow-base-0_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`

Counts

167 → 142

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	3721
1	359	3486
2	855	3217
3	3128	2907
4	4630	2810
5	4935	2810
6	4783	2810
7	4942	2810

prune125.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	141	6	147

Error

0.0b

Counts

147 → 6

Compiler

Compiled 2881 to 1742 computations (39.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1))
0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))
0.3b	(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6)
8.8b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6))

rewrite127.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `distribute-lft-out_binary64` `cbrt-div_binary64`
3×	`pow-unpow_binary64`
2×	`sqr-pow_binary64` `pow-pow_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6))
7.0ms	(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6)
6.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))

Compiler

Compiled 1917 to 1268 computations (33.9% saved)

series461.0ms (11.8%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

271.0ms	(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6)
49.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 6))
45.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
44.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))

Compiler

Compiled 4585 to 3569 computations (22.2% saved)

simplify158.0ms (4%)

Algorithm

1×	egg-herbie

Rules

478×	`times-frac_binary64`
460×	`associate-r_binary64`
457×	`associate-l_binary64`
306×	`associate-/l*_binary64`
239×	`log-prod_binary64`
213×	`associate-/r*_binary64`
123×	`associate-*l/_binary64`
106×	`associate-*r/_binary64`
82×	`sqr-pow_binary64`
81×	`associate-/r/_binary64`
79×	`unswap-sqr_binary64` `distribute-rgt-in_binary64`
69×	`distribute-lft-in_binary64`
61×	`+-commutative_binary64`
56×	`log-pow_binary64`
55×	`*-commutative_binary64`
52×	`sub-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
36×	`exp-prod_binary64`
30×	`pow-plus_binary64`
28×	`exp-sum_binary64`
27×	`swap-sqr_binary64`
25×	`distribute-rgt-neg-in_binary64`
23×	`unpow3_binary64`
22×	`associate-/l/_binary64`
20×	`cube-prod_binary64`
19×	`exp-to-pow_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
18×	`associate-+l+_binary64`
17×	`pow-sqr_binary64`
16×	`log-div_binary64`
15×	`distribute-rgt-out_binary64` `associate--l+_binary64`
13×	`cube-mult_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `associate-+r+_binary64`
12×	`exp-diff_binary64` `div-sub_binary64` `distribute-rgt-neg-out_binary64`
11×	`unsub-neg_binary64`
10×	`distribute-rgt1-in_binary64` `associate--r-_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`distribute-neg-out_binary64` `distribute-lft-out_binary64`
6×	`cube-unmult_binary64`
5×	`cube-div_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`log-rec_binary64` `unpow1/3_binary64` `rem-cube-cbrt_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-3cbrt-lft_binary64` `*-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `prod-exp_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `count-2_binary64`
1×	`1-exp_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `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-neg_binary64` `rem-square-sqrt_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-squares_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`

Counts

138 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	3114
1	470	2843
2	1067	2534
3	4593	2501
4	5000	2501
5	4945	2501

prune71.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Error

0.0b

Counts

108 → 6

Compiler

Compiled 1588 to 984 computations (38% saved)

regimes476.0ms (12.1%)

Accuracy

Total 0.0b remaining (72.7%)

Threshold costs 0.0b (72.7%)

Compiler

Compiled 6044 to 4591 computations (24% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_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` `sub-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	9	16
1	14	16
2	13	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample699.0ms (17.8%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
12.0ms	230×	body	128	invalid

Compiler

Compiled 162 to 131 computations (19.1% saved)

Details

analyze241.0ms (6.2%)

sample17.0ms (0.4%)

simplify107.0ms (2.7%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite108.0ms (2.8%)

series90.0ms (2.3%)

simplify105.0ms (2.7%)

prune45.0ms (1.1%)

localize7.0ms (0.2%)

rewrite132.0ms (3.4%)

series86.0ms (2.2%)

simplify121.0ms (3.1%)

prune49.0ms (1.2%)

localize12.0ms (0.3%)

rewrite203.0ms (5.2%)

series232.0ms (5.9%)

simplify222.0ms (5.7%)

prune125.0ms (3.2%)

localize14.0ms (0.4%)

rewrite127.0ms (3.2%)

series461.0ms (11.8%)

simplify158.0ms (4%)

prune71.0ms (1.8%)

regimes476.0ms (12.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample699.0ms (17.8%)

Profiling