Details

analyze646.0ms (12.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

2114×	`associate-/l/_binary64`
1242×	`div-sub_binary64`
837×	`sub-neg_binary64`
831×	`unsub-neg_binary64`
744×	`distribute-rgt-in_binary64`
714×	`distribute-lft-in_binary64`
643×	`associate-/l*_binary64`
445×	`cancel-sign-sub-inv_binary64`
380×	`distribute-rgt-out--_binary64`
356×	`*-commutative_binary64`
341×	`associate-*l/_binary64`
315×	`associate-/r/_binary64`
302×	`associate-/r*_binary64`
280×	`times-frac_binary64`
266×	`associate-r_binary64`
229×	`neg-mul-1_binary64`
221×	`distribute-rgt-neg-in_binary64`
220×	`associate-l_binary64`
188×	`distribute-lft-neg-in_binary64`
181×	`distribute-rgt-out_binary64`
167×	`associate-*r/_binary64`
165×	`distribute-rgt-neg-out_binary64`
159×	`neg-sub0_binary64`
153×	`distribute-frac-neg_binary64`
139×	`associate--r+_binary64`
126×	`associate--l+_binary64`
123×	`distribute-neg-frac_binary64`
120×	`distribute-lft-neg-out_binary64`
114×	`associate--l-_binary64`
109×	`associate-+l-_binary64`
86×	`+-commutative_binary64`
85×	`distribute-neg-out_binary64`
79×	`associate-+r+_binary64`
68×	`distribute-neg-in_binary64`
64×	`associate--r-_binary64`
58×	`mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64`
55×	`remove-double-neg_binary64`
43×	`associate-+r-_binary64`
42×	`associate-+l+_binary64`
39×	`--rgt-identity_binary64`
38×	`remove-double-div_binary64`
36×	`distribute-rgt1-in_binary64`
30×	`sub0-neg_binary64`
24×	`*-lft-identity_binary64`
20×	`distribute-lft1-in_binary64`
15×	`*-rgt-identity_binary64`
14×	`+-rgt-identity_binary64`
12×	`lft-mult-inverse_binary64` `cancel-sign-sub_binary64`
11×	`/-rgt-identity_binary64`
6×	`+-lft-identity_binary64` `*-inverses_binary64` `distribute-lft-out--_binary64`
5×	`mul-1-neg_binary64`
4×	`distribute-lft-out_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` `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` `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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	33	52
2	53	52
3	76	52
4	113	52
5	152	52
6	185	52
7	210	52
8	261	52
9	369	52
10	673	52
11	1242	52
12	2331	52
13	2223	52
14	2145	52
15	2219	52
16	2267	52
17	2289	52
18	3343	52
19	2455	52
20	2391	52
21	2391	52
22	2391	52
23	3537	52
24	3255	52
25	3409	52
26	3925	52
27	3783	52
28	3795	52
29	4005	52
30	4057	52
31	4057	52
32	4057	52
33	5927	52
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	255×	body	128	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify204.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2278×	`div-sub_binary64`
968×	`associate-/l/_binary64`
868×	`cancel-sign-sub-inv_binary64`
705×	`associate-/r/_binary64`
621×	`associate-/l*_binary64`
585×	`distribute-rgt-in_binary64`
539×	`sub-neg_binary64`
426×	`distribute-lft-in_binary64`
414×	`associate-*l/_binary64`
307×	`unsub-neg_binary64`
287×	`distribute-neg-frac_binary64`
267×	`associate-r_binary64`
253×	`associate-*r/_binary64`
243×	`associate-/r*_binary64`
186×	`*-commutative_binary64`
182×	`times-frac_binary64`
177×	`associate-l_binary64`
138×	`neg-mul-1_binary64`
137×	`distribute-rgt-neg-in_binary64`
129×	`distribute-lft-neg-in_binary64`
122×	`associate--r+_binary64`
118×	`neg-sub0_binary64`
115×	`distribute-frac-neg_binary64`
88×	`distribute-lft-neg-out_binary64`
85×	`associate--l-_binary64`
80×	`distribute-neg-in_binary64`
79×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
67×	`+-commutative_binary64`
57×	`associate--l+_binary64`
56×	`div0_binary64`
47×	`mul0-rgt_binary64`
45×	`*-lft-identity_binary64` `mul0-lft_binary64`
42×	`*-rgt-identity_binary64` `associate-+l-_binary64`
40×	`/-rgt-identity_binary64`
36×	`associate-+r-_binary64`
22×	`remove-double-neg_binary64` `remove-double-div_binary64`
20×	`distribute-rgt-out--_binary64`
17×	`cancel-sign-sub_binary64` `associate-+l+_binary64`
15×	`sub0-neg_binary64`
11×	`+-rgt-identity_binary64`
6×	`associate-+r+_binary64`
5×	`distribute-rgt-out_binary64`
4×	`--rgt-identity_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`sqr-neg_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	20	13
3	27	13
4	39	13
5	51	13
6	63	13
7	73	13
8	90	13
9	115	13
10	143	13
11	200	13
12	318	13
13	583	13
14	1010	13
15	1390	13
16	1486	13
17	1511	13
18	1606	13
19	1706	13
20	1471	13
21	1776	13
22	1698	13
23	1787	13
24	1894	13
25	1962	13
26	1996	13
27	2006	13
28	1986	13
29	1986	13
30	3184	13
31	5249	13

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

7.6b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.6b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

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

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 976 to 392 computations (59.8% saved)

series67.0ms (1.3%)

Error

0.0b

Counts

1 → 20

Calls

1 calls:

53.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 660 to 478 computations (27.6% saved)

simplify112.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

490×	`distribute-rgt-in_binary64`
422×	`cancel-sign-sub-inv_binary64`
357×	`div-sub_binary64`
301×	`neg-mul-1_binary64`
299×	`neg-sub0_binary64`
179×	`sub-neg_binary64`
155×	`distribute-rgt-neg-in_binary64`
136×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
134×	`distribute-neg-frac_binary64`
123×	`distribute-neg-in_binary64`
121×	`distribute-rgt-out_binary64`
117×	`associate-/l*_binary64`
116×	`associate-+l+_binary64`
98×	`unsub-neg_binary64`
96×	`associate-+r+_binary64`
93×	`associate-/r_binary64` `associate-l/_binary64`
88×	`times-frac_binary64`
84×	`*-commutative_binary64`
77×	`associate-l_binary64` `associate-r_binary64`
69×	`associate-*r/_binary64`
68×	`+-commutative_binary64`
65×	`associate--r+_binary64`
64×	`unswap-sqr_binary64`
61×	`distribute-rgt-neg-out_binary64`
60×	`associate-/l/_binary64`
57×	`distribute-lft-neg-out_binary64`
51×	`associate-/r/_binary64`
39×	`distribute-lft-out_binary64`
37×	`distribute-rgt-out--_binary64`
33×	`cube-prod_binary64`
29×	`sqr-pow_binary64` `associate-+l-_binary64`
26×	`*-rgt-identity_binary64`
24×	`distribute-neg-out_binary64`
22×	`associate-+r-_binary64`
21×	`distribute-frac-neg_binary64`
20×	`sub0-neg_binary64`
19×	`cube-div_binary64` `*-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`unpow3_binary64` `+-rgt-identity_binary64`
13×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
10×	`cancel-sign-sub_binary64`
8×	`/-rgt-identity_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-plus_binary64` `sqr-neg_binary64` `associate--l-_binary64`
5×	`cube-mult_binary64`
4×	`rem-sqrt-square_binary64`
3×	`log-div_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-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` `difference-of-squares_binary64` `count-2_binary64`

Counts

80 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1851
1	303	1795
2	813	1771
3	2385	1720
4	4240	1720
5	5124	1720

prune46.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Error

0.0b

Counts

73 → 4

Compiler

Compiled 846 to 355 computations (58% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
7.6b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

rewrite203.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

316×	`times-frac_binary64`
275×	`add-sqr-sqrt_binary64`
273×	`*-un-lft-identity_binary64`
107×	`add-cube-cbrt_binary64`
84×	`difference-of-squares_binary64`
42×	`associate-/r*_binary64`
41×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64` `associate-/l*_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 237

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
15.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

Compiler

Compiled 4583 to 2195 computations (52.1% saved)

series144.0ms (2.8%)

Error

0.0b

Counts

2 → 46

Calls

2 calls:

61.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))
53.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))

Compiler

Compiled 1810 to 1325 computations (26.8% saved)

simplify268.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
391×	`distribute-rgt-in_binary64`
322×	`distribute-lft-in_binary64`
206×	`div-sub_binary64`
176×	`sub-neg_binary64`
162×	`associate-/r/_binary64`
136×	`cancel-sign-sub-inv_binary64`
114×	`associate-/l/_binary64`
106×	`associate-*l/_binary64`
104×	`associate-/l*_binary64`
99×	`*-commutative_binary64`
95×	`distribute-neg-in_binary64`
88×	`+-commutative_binary64`
83×	`distribute-neg-frac_binary64`
74×	`associate-/r*_binary64`
67×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
63×	`exp-prod_binary64` `associate-*r/_binary64`
60×	`associate-+l+_binary64`
57×	`associate-+r+_binary64`
56×	`distribute-rgt-neg-in_binary64`
55×	`associate-r_binary64`
54×	`associate--l+_binary64` `associate--r+_binary64`
49×	`distribute-lft-neg-in_binary64`
47×	`unsub-neg_binary64`
43×	`*-rgt-identity_binary64`
36×	`unswap-sqr_binary64` `associate-l_binary64`
30×	`cube-prod_binary64`
27×	`sqr-pow_binary64`
24×	`/-rgt-identity_binary64`
23×	`exp-sum_binary64`
17×	`*-lft-identity_binary64`
15×	`distribute-lft-neg-out_binary64`
13×	`distribute-rgt-out_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`log-div_binary64` `log-prod_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`exp-diff_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
8×	`unpow3_binary64` `cube-unmult_binary64` `cube-div_binary64`
5×	`cube-mult_binary64` `remove-double-div_binary64` `associate-+r-_binary64`
4×	`log-rec_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`sqr-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `div0_binary64` `distribute-neg-out_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `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` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

283 → 261

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	8014
1	730	7621
2	2449	7477
3	4790	7471
4	5142	7471

prune117.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	260	5	265

Error

0.0b

Counts

265 → 5

Compiler

Compiled 3063 to 1356 computations (55.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (/.f64 y z) (/.f64 y z))
4.4b	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
11.7b	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite179.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

86×	`*-un-lft-identity_binary64`
81×	`times-frac_binary64`
79×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
39×	`associate-l_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`difference-of-squares_binary64`
17×	`associate-r_binary64`
13×	`swap-sqr_binary64`
12×	`pow1_binary64` `distribute-lft-out_binary64`
6×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64`
5×	`associate-/r*_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `associate-l/_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64` `associate-/l/_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64`

Counts

3 → 164

Calls

3 calls:

19.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
12.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
11.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))

Compiler

Compiled 4479 to 1581 computations (64.7% saved)

series196.0ms (3.8%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

86.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
62.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
24.0ms	(*.f64 (/.f64 y z) (/.f64 y z))

Compiler

Compiled 2073 to 1589 computations (23.3% saved)

simplify220.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

669×	`distribute-rgt-in_binary64`
258×	`associate-*l/_binary64`
222×	`associate-*r/_binary64`
206×	`associate-l_binary64`
198×	`associate-/l*_binary64`
196×	`associate-r_binary64`
168×	`*-commutative_binary64`
167×	`distribute-lft-in_binary64`
137×	`distribute-rgt-neg-in_binary64`
128×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64`
117×	`distribute-lft-neg-in_binary64`
100×	`distribute-neg-frac_binary64`
91×	`distribute-neg-in_binary64`
90×	`log-prod_binary64`
73×	`log-div_binary64`
71×	`+-commutative_binary64`
70×	`*-rgt-identity_binary64`
66×	`*-lft-identity_binary64`
64×	`sub-neg_binary64`
63×	`times-frac_binary64`
56×	`associate-/l/_binary64`
55×	`neg-sub0_binary64` `distribute-rgt-out_binary64`
50×	`associate-/r*_binary64` `associate-+r+_binary64`
49×	`neg-mul-1_binary64` `swap-sqr_binary64`
43×	`sqr-pow_binary64`
40×	`associate-+l+_binary64`
33×	`cube-prod_binary64`
31×	`div-sub_binary64`
30×	`exp-prod_binary64`
26×	`unsub-neg_binary64`
25×	`associate-/r/_binary64`
24×	`distribute-lft-neg-out_binary64`
19×	`cube-div_binary64`
16×	`log-pow_binary64` `distribute-rgt-neg-out_binary64`
12×	`/-rgt-identity_binary64` `associate--r+_binary64`
11×	`cube-unmult_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
8×	`mul-1-neg_binary64`
7×	`log-rec_binary64` `pow-sqr_binary64`
6×	`associate-+l-_binary64` `associate-+r-_binary64`
5×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64`
4×	`exp-sum_binary64` `rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

206 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	5113
1	934	4622
2	3009	4351
3	4906	4351
4	4992	4351
5	4997	4351

prune105.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	183	5	188

Error

0.0b

Counts

188 → 5

Compiler

Compiled 3449 to 1489 computations (56.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y)))
0.0b	(+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
0.2b	(/.f64 1 (+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))))
4.8b	(/.f64 x (*.f64 y z))

rewrite135.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`*-un-lft-identity_binary64`
27×	`distribute-lft-out_binary64`
21×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`frac-add_binary64`
8×	`div-inv_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64` `associate-/r/_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`div-exp_binary64` `sum-log_binary64`
3×	`cbrt-undiv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `+-commutative_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-+r+_binary64`

Counts

4 → 102

Calls

4 calls:

20.0ms	(/.f64 1 (+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))))
18.0ms	(+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y)))
10.0ms	(+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
4.0ms	(/.f64 x (*.f64 y z))

Compiler

Compiled 2311 to 1255 computations (45.7% saved)

series211.0ms (4.1%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

64.0ms	(/.f64 1 (+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))))
51.0ms	(+.f64 (/.f64 -1 z) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y)))
42.0ms	(+.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
31.0ms	(/.f64 x (*.f64 y z))

Compiler

Compiled 2039 to 1647 computations (19.2% saved)

simplify172.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-*l/_binary64`
322×	`distribute-rgt-in_binary64`
265×	`distribute-lft-in_binary64`
238×	`associate-/l/_binary64`
161×	`cancel-sign-sub-inv_binary64`
148×	`associate-/r/_binary64`
133×	`times-frac_binary64`
128×	`div-sub_binary64`
112×	`sub-neg_binary64`
105×	`associate-/r*_binary64`
102×	`distribute-neg-frac_binary64`
98×	`associate-/l*_binary64`
87×	`unswap-sqr_binary64`
80×	`associate-l_binary64` `*-commutative_binary64`
76×	`distribute-rgt-neg-in_binary64`
70×	`distribute-neg-in_binary64` `+-commutative_binary64`
67×	`distribute-lft-neg-in_binary64`
66×	`associate-r_binary64`
60×	`associate-*r/_binary64`
54×	`neg-sub0_binary64`
49×	`associate-+r+_binary64`
48×	`neg-mul-1_binary64`
47×	`associate-+l+_binary64`
44×	`sqr-pow_binary64`
43×	`cube-prod_binary64`
40×	`log-prod_binary64`
35×	`unsub-neg_binary64`
33×	`distribute-lft-neg-out_binary64`
28×	`associate--l+_binary64` `associate--r+_binary64`
26×	`distribute-rgt-neg-out_binary64`
23×	`unpow3_binary64`
21×	`log-div_binary64` `exp-prod_binary64` `distribute-rgt-out_binary64`
20×	`*-rgt-identity_binary64`
18×	`cube-div_binary64`
16×	`distribute-lft-out_binary64`
11×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
10×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64`
9×	`log-pow_binary64` `swap-sqr_binary64`
8×	`exp-diff_binary64` `cube-mult_binary64` `distribute-frac-neg_binary64`
7×	`cube-unmult_binary64`
6×	`exp-sum_binary64` `distribute-lft-out--_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
4×	`sqr-neg_binary64`
3×	`pow-plus_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `+-lft-identity_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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

165 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3711
1	589	3333
2	1996	3237
3	4706	3237
4	4978	3237
5	4970	3237

prune65.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	116	5	121

Error

0.0b

Counts

121 → 5

Compiler

Compiled 1691 to 914 computations (45.9% saved)

regimes1.3s (24.7%)

Accuracy

Total 0.1b remaining (80.6%)

Threshold costs 0.1b (80.6%)

Compiler

Compiled 8595 to 6563 computations (23.6% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-neg-frac_binary64`
1×	`if-if-or-not_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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-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	24	70
1	33	70
2	43	70
3	51	70
4	57	70
5	59	70
6	58	70

end1.0ms (0%)

Compiler: Compiled 47 to 27 computations (42.6% saved)

sample676.0ms (13%)

Algorithm

1×

intervals

Results

260.0ms	7997×	body	128	valid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 161 to 123 computations (23.6% saved)

Details

analyze646.0ms (12.4%)

sample20.0ms (0.4%)

simplify204.0ms (3.9%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite71.0ms (1.4%)

series67.0ms (1.3%)

simplify112.0ms (2.2%)

prune46.0ms (0.9%)

localize7.0ms (0.1%)

rewrite203.0ms (3.9%)

series144.0ms (2.8%)

simplify268.0ms (5.2%)

prune117.0ms (2.3%)

localize10.0ms (0.2%)

rewrite179.0ms (3.4%)

series196.0ms (3.8%)

simplify220.0ms (4.2%)

prune105.0ms (2%)

localize12.0ms (0.2%)

rewrite135.0ms (2.6%)

series211.0ms (4.1%)

simplify172.0ms (3.3%)

prune65.0ms (1.2%)

regimes1.3s (24.7%)

bsearch6.0ms (0.1%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample676.0ms (13%)

Profiling