Details

analyze244.0ms (7.1%)

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify105.0ms (3.1%)

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

8.1b

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))
7.5b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite111.0ms (3.2%)

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 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
7.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1090 to 636 computations (41.7% saved)

series100.0ms (2.9%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

36.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
24.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
21.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 870 to 678 computations (22.1% saved)

simplify133.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64`
350×	`associate-l_binary64`
324×	`distribute-rgt-in_binary64`
313×	`associate-*l/_binary64`
282×	`distribute-lft-in_binary64`
242×	`associate-/l/_binary64` `associate-/r*_binary64`
223×	`cancel-sign-sub-inv_binary64`
206×	`associate-*r/_binary64`
200×	`sub-neg_binary64`
177×	`div-sub_binary64` `associate-/r/_binary64`
94×	`unsub-neg_binary64`
89×	`unswap-sqr_binary64`
75×	`*-rgt-identity_binary64`
72×	`neg-sub0_binary64`
71×	`cube-div_binary64` `neg-mul-1_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
67×	`log-div_binary64`
65×	`distribute-rgt-neg-in_binary64`
58×	`sqr-pow_binary64`
55×	`cube-prod_binary64`
53×	`distribute-lft-neg-in_binary64`
52×	`associate-r_binary64`
51×	`+-commutative_binary64`
48×	`*-lft-identity_binary64`
47×	`log-prod_binary64`
46×	`associate--l+_binary64`
44×	`times-frac_binary64`
43×	`distribute-neg-in_binary64`
39×	`*-commutative_binary64`
38×	`exp-prod_binary64`
36×	`remove-double-div_binary64`
34×	`distribute-rgt-out--_binary64`
32×	`associate-+l+_binary64`
29×	`unpow3_binary64` `/-rgt-identity_binary64`
28×	`associate--r+_binary64`
26×	`swap-sqr_binary64`
23×	`cube-mult_binary64`
22×	`associate-+r+_binary64`
20×	`pow-sqr_binary64`
17×	`rem-sqrt-square_binary64`
16×	`log-rec_binary64` `distribute-rgt1-in_binary64`
9×	`cube-unmult_binary64`
7×	`pow-plus_binary64`
6×	`unpow1/2_binary64` `exp-sum_binary64` `div0_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
5×	`remove-double-neg_binary64`
4×	`log-pow_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64`
3×	`difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_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` `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

104 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1589
1	366	1428
2	1338	1393
3	4028	1393
4	4599	1393
5	4914	1393
6	5034	1393

prune48.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Error

Counts

67 → 6

Compiler

Compiled 776 to 404 computations (47.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 x x) y))
0.1b	(.f64 (/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
6.6b	(/.f64 (*.f64 x x) y)
11.6b	(/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (.f64 x x) 1))

rewrite170.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
30×	`associate-l_binary64`
20×	`difference-of-squares_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out_binary64`
10×	`difference-of-sqr-1_binary64`
9×	`associate-/r*_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-/l*_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `frac-times_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 148

Calls

4 calls:

23.0ms	(.f64 (/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
11.0ms	(/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (.f64 x x) 1))
5.0ms	(/.f64 (*.f64 x x) y)
5.0ms	(+.f64 x (/.f64 (*.f64 x x) y))

Compiler

Compiled 3581 to 1403 computations (60.8% saved)

series166.0ms (4.8%)

Error

Counts

4 → 50

Calls

4 calls:

54.0ms	(.f64 (/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
38.0ms	(/.f64 (+.f64 x (/.f64 (.f64 x x) y)) (-.f64 (.f64 x x) 1))
29.0ms	(+.f64 x (/.f64 (*.f64 x x) y))
19.0ms	(/.f64 (*.f64 x x) y)

Compiler

Compiled 1687 to 1309 computations (22.4% saved)

simplify129.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

527×	`distribute-rgt-in_binary64`
441×	`distribute-lft-in_binary64`
374×	`associate-/l/_binary64`
177×	`cancel-sign-sub-inv_binary64`
152×	`associate-/l*_binary64`
147×	`sub-neg_binary64`
114×	`associate-l_binary64`
112×	`times-frac_binary64`
107×	`associate-*l/_binary64`
102×	`associate-r_binary64`
96×	`*-commutative_binary64`
85×	`associate-/r*_binary64`
74×	`+-commutative_binary64`
72×	`distribute-neg-in_binary64`
66×	`distribute-rgt-out_binary64` `associate-*r/_binary64`
64×	`distribute-rgt-neg-in_binary64`
57×	`unsub-neg_binary64`
54×	`distribute-neg-frac_binary64`
53×	`div-sub_binary64`
50×	`distribute-lft-neg-in_binary64` `associate--l+_binary64`
44×	`neg-sub0_binary64`
43×	`associate-+l+_binary64`
42×	`neg-mul-1_binary64`
38×	`associate--r+_binary64`
36×	`distribute-rgt-out--_binary64`
35×	`associate-+r+_binary64`
33×	`unswap-sqr_binary64`
32×	`associate-/r/_binary64`
30×	`log-prod_binary64` `sqr-pow_binary64`
28×	`mul-1-neg_binary64`
27×	`log-div_binary64` `*-rgt-identity_binary64`
24×	`cube-div_binary64`
22×	`cube-prod_binary64`
20×	`swap-sqr_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`exp-prod_binary64`
16×	`distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
15×	`*-lft-identity_binary64`
14×	`/-rgt-identity_binary64`
11×	`distribute-lft-out_binary64`
6×	`unpow3_binary64` `cube-unmult_binary64`
5×	`cube-mult_binary64`
4×	`log-rec_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
3×	`exp-sum_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `*-inverses_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `div0_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-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` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

198 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4708
1	632	4401
2	2314	4120
3	4971	4120

prune97.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	165	6	171

Error

Counts

171 → 6

Compiler

Compiled 2567 to 1073 computations (58.2% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
0.2b	(pow.f64 (/.f64 x y) 3)
0.5b	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
17.5b	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))

rewrite285.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-r_binary64`
17×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`associate-l_binary64`
9×	`pow1_binary64`
8×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-/r/_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `distribute-lft-out_binary64` `cancel-sign-sub-inv_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `difference-of-squares_binary64`
3×	`associate-*l/_binary64` `unswap-sqr_binary64` `pow-unpow_binary64`
2×	`associate-/l/_binary64` `pow-prod-down_binary64` `cube-mult_binary64` `*-commutative_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `difference-of-sqr-1_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `sum-cubes_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `unpow3_binary64` `cube-div_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`

Counts

4 → 157

Calls

4 calls:

38.0ms	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
30.0ms	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
14.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
5.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 5161 to 3035 computations (41.2% saved)

series196.0ms (5.7%)

Error

Counts

4 → 48

Calls

4 calls:

61.0ms	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
51.0ms	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
39.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
27.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 2192 to 1641 computations (25.1% saved)

simplify134.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-l_binary64`
297×	`associate-r_binary64`
278×	`times-frac_binary64`
250×	`associate-/l*_binary64`
218×	`distribute-rgt-in_binary64`
208×	`distribute-lft-in_binary64`
167×	`log-prod_binary64`
166×	`associate-*l/_binary64`
145×	`*-commutative_binary64`
138×	`associate-*r/_binary64`
134×	`associate-/r*_binary64`
125×	`exp-prod_binary64`
113×	`cube-div_binary64`
97×	`+-commutative_binary64`
84×	`log-div_binary64`
69×	`sqr-pow_binary64`
49×	`associate--l+_binary64`
46×	`sub-neg_binary64`
43×	`unpow3_binary64`
41×	`associate-+l+_binary64`
40×	`cube-mult_binary64`
33×	`associate-+r+_binary64`
31×	`associate--r+_binary64`
29×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-neg-in_binary64`
24×	`unswap-sqr_binary64`
21×	`distribute-neg-in_binary64`
20×	`log-pow_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
19×	`distribute-lft-neg-in_binary64`
16×	`cube-prod_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
13×	`*-lft-identity_binary64`
11×	`pow-plus_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sum_binary64`
7×	`distribute-neg-frac_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64`
2×	`exp-diff_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

205 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4260
1	961	3665
2	4287	3646
3	4954	3646

prune124.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	167	6	173

Error

Counts

173 → 6

Compiler

Compiled 3354 to 1966 computations (41.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite47.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`pow1_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

11.0ms	(+.f64 1 (/.f64 (+.f64 -1 x) y))
5.0ms	(/.f64 (+.f64 -1 x) y)

Compiler

Compiled 590 to 429 computations (27.3% saved)

series51.0ms (1.5%)

Error

Counts

2 → 21

Calls

2 calls:

22.0ms	(+.f64 1 (/.f64 (+.f64 -1 x) y))
21.0ms	(/.f64 (+.f64 -1 x) y)

Compiler

Compiled 308 to 273 computations (11.4% saved)

simplify88.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

562×	`div-sub_binary64`
526×	`neg-mul-1_binary64`
334×	`distribute-rgt-neg-out_binary64`
293×	`distribute-rgt-in_binary64`
287×	`unsub-neg_binary64`
278×	`distribute-lft-in_binary64`
171×	`cancel-sign-sub-inv_binary64`
156×	`sub-neg_binary64`
152×	`associate-l_binary64`
144×	`times-frac_binary64`
134×	`associate-r_binary64`
130×	`distribute-neg-out_binary64`
129×	`distribute-frac-neg_binary64`
126×	`associate-/l*_binary64`
93×	`neg-sub0_binary64`
91×	`associate-*l/_binary64`
71×	`associate-/r*_binary64`
69×	`associate-*r/_binary64`
67×	`distribute-neg-in_binary64`
62×	`associate-+l+_binary64`
61×	`exp-prod_binary64` `cube-prod_binary64`
55×	`exp-sum_binary64`
51×	`*-commutative_binary64`
50×	`log-prod_binary64`
48×	`distribute-neg-frac_binary64` `associate-+r+_binary64`
43×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
42×	`cube-div_binary64`
38×	`log-div_binary64`
34×	`associate-+l-_binary64`
33×	`associate-/l/_binary64`
29×	`+-commutative_binary64`
26×	`swap-sqr_binary64`
25×	`sqr-pow_binary64` `associate-+r-_binary64`
21×	`*-lft-identity_binary64`
18×	`associate-/r/_binary64`
17×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
16×	`/-rgt-identity_binary64`
15×	`sqr-neg_binary64` `distribute-rgt-neg-in_binary64`
14×	`unpow3_binary64`
12×	`cube-neg_binary64` `associate--l+_binary64`
11×	`sub0-neg_binary64` `associate--r-_binary64`
9×	`log-rec_binary64` `remove-double-neg_binary64` `div0_binary64`
8×	`cube-mult_binary64` `associate--l-_binary64`
7×	`--rgt-identity_binary64` `distribute-lft-neg-in_binary64`
6×	`cube-unmult_binary64` `+-rgt-identity_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`exp-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
3×	`pow-plus_binary64` `remove-double-div_binary64` `distribute-rgt-out_binary64`
2×	`unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

66 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	773
1	216	752
2	553	752
3	2347	752
4	4413	752
5	4977	752

prune15.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	33	6	39

Error

Counts

39 → 6

Compiler

Compiled 236 to 181 computations (23.3% saved)

regimes428.0ms (12.5%)

Accuracy

Total 0.1b remaining (81.4%)

Threshold costs 0.1b (81.4%)

Compiler

Compiled 4477 to 3495 computations (21.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_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` `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` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	12	16

end1.0ms (0%)

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

sample699.0ms (20.4%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
14.0ms	285×	body	128	invalid

Compiler

Compiled 125 to 104 computations (16.8% saved)

Details

analyze244.0ms (7.1%)

sample18.0ms (0.5%)

simplify105.0ms (3.1%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite111.0ms (3.2%)

series100.0ms (2.9%)

simplify133.0ms (3.9%)

prune48.0ms (1.4%)

localize9.0ms (0.3%)

rewrite170.0ms (5%)

series166.0ms (4.8%)

simplify129.0ms (3.8%)

prune97.0ms (2.8%)

localize13.0ms (0.4%)

rewrite285.0ms (8.3%)

series196.0ms (5.7%)

simplify134.0ms (3.9%)

prune124.0ms (3.6%)

localize5.0ms (0.1%)

rewrite47.0ms (1.4%)

series51.0ms (1.5%)

simplify88.0ms (2.6%)

prune15.0ms (0.4%)

regimes428.0ms (12.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample699.0ms (20.4%)

Profiling