Details

analyze635.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Rules

655×	`sub-neg_binary64`
651×	`div-sub_binary64`
623×	`neg-mul-1_binary64`
530×	`cancel-sign-sub-inv_binary64`
508×	`neg-sub0_binary64`
497×	`unsub-neg_binary64`
430×	`distribute-neg-frac_binary64`
300×	`distribute-rgt-in_binary64`
286×	`distribute-rgt-neg-out_binary64`
278×	`distribute-frac-neg_binary64`
265×	`associate-/l*_binary64`
216×	`distribute-lft-in_binary64`
184×	`times-frac_binary64`
154×	`+-lft-identity_binary64`
136×	`associate-/r*_binary64`
113×	`*-lft-identity_binary64`
104×	`remove-double-neg_binary64`
93×	`distribute-neg-in_binary64`
88×	`associate--r+_binary64`
80×	`+-commutative_binary64`
72×	`*-commutative_binary64`
70×	`distribute-lft-neg-out_binary64`
63×	`mul0-rgt_binary64`
59×	`mul0-lft_binary64`
56×	`cancel-sign-sub_binary64` `distribute-rgt-neg-in_binary64`
55×	`distribute-lft-neg-in_binary64`
54×	`div0_binary64`
53×	`associate-/r/_binary64`
46×	`associate-+r-_binary64`
44×	`associate-+l-_binary64`
42×	`associate-l/_binary64` `associate-r*_binary64`
33×	`sub0-neg_binary64` `associate--r-_binary64`
30×	`associate-r/_binary64` `associate-l*_binary64`
17×	`associate-+r+_binary64`
13×	`+-rgt-identity_binary64`
10×	`distribute-neg-out_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`*-inverses_binary64` `associate-+l+_binary64`
7×	`mul-1-neg_binary64`
6×	`associate--l+_binary64`
5×	`distribute-rgt-out_binary64`
4×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	62	91
2	162	91
3	337	91
4	664	91
5	1456	91
6	3375	91
7	4080	91
8	4367	91
9	4852	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify278.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

986×	`div-sub_binary64`
972×	`distribute-rgt-in_binary64`
929×	`distribute-lft-in_binary64`
786×	`sub-neg_binary64`
582×	`times-frac_binary64`
341×	`neg-mul-1_binary64`
335×	`associate-/l*_binary64`
326×	`neg-sub0_binary64` `*-commutative_binary64`
325×	`distribute-neg-frac_binary64`
322×	`cancel-sign-sub-inv_binary64`
319×	`unsub-neg_binary64`
299×	`distribute-rgt-neg-in_binary64`
278×	`distribute-rgt-neg-out_binary64`
252×	`associate-/r*_binary64`
235×	`distribute-lft-neg-out_binary64`
200×	`associate-/r/_binary64`
197×	`distribute-lft-neg-in_binary64`
195×	`associate--r+_binary64`
188×	`associate-/l/_binary64`
182×	`associate-*l/_binary64`
171×	`distribute-frac-neg_binary64`
139×	`associate-r_binary64`
128×	`remove-double-neg_binary64`
124×	`associate-*r/_binary64`
119×	`cancel-sign-sub_binary64`
110×	`associate--r-_binary64`
108×	`associate-l_binary64`
95×	`+-commutative_binary64`
92×	`*-lft-identity_binary64`
66×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
59×	`associate--l+_binary64`
58×	`div0_binary64`
57×	`distribute-neg-in_binary64`
49×	`+-rgt-identity_binary64` `associate-+r+_binary64`
45×	`distribute-rgt-out_binary64`
43×	`associate-+r-_binary64`
42×	`distribute-neg-out_binary64`
32×	`--rgt-identity_binary64`
27×	`associate--l-_binary64`
26×	`mul0-rgt_binary64`
25×	`distribute-lft-out--_binary64`
24×	`associate-+l-_binary64`
23×	`/-rgt-identity_binary64`
22×	`*-rgt-identity_binary64`
21×	`mul0-lft_binary64`
19×	`sub0-neg_binary64`
18×	`distribute-lft-out_binary64`
14×	`+-lft-identity_binary64`
12×	`remove-double-div_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-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` `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` `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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	34	13
3	70	13
4	131	13
5	217	13
6	507	13
7	1253	13
8	2664	13
9	2829	13
10	3200	13
11	3241	13
12	3253	13
13	3314	13
14	3763	13
15	3503	13
16	3739	13
17	3731	13
18	3769	13
19	3769	13
20	3807	13
21	3807	13
22	5580	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

9.9b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
9.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite77.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 59

Calls

2 calls:

10.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 889 to 225 computations (74.7% saved)

series131.0ms (2.7%)

Error

3.1b

Counts

2 → 45

Calls

2 calls:

81.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
27.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 1699 to 1118 computations (34.2% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-/l/_binary64`
349×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`
311×	`div-sub_binary64`
256×	`cancel-sign-sub-inv_binary64`
178×	`sub-neg_binary64`
164×	`associate-/l*_binary64`
147×	`exp-prod_binary64`
120×	`associate-l_binary64`
111×	`times-frac_binary64`
102×	`associate-r_binary64`
70×	`*-commutative_binary64`
68×	`+-commutative_binary64`
67×	`distribute-rgt-neg-in_binary64`
57×	`associate-/r*_binary64`
55×	`distribute-lft-neg-in_binary64` `associate--r+_binary64`
54×	`associate--l+_binary64`
53×	`distribute-neg-frac_binary64`
51×	`distribute-neg-in_binary64`
49×	`*-rgt-identity_binary64`
46×	`neg-sub0_binary64` `associate-*l/_binary64`
43×	`neg-mul-1_binary64`
42×	`cube-prod_binary64`
41×	`log-div_binary64`
39×	`cube-div_binary64`
37×	`distribute-rgt-neg-out_binary64`
36×	`exp-sum_binary64` `unsub-neg_binary64` `associate-/r/_binary64` `associate-+l+_binary64`
35×	`distribute-lft-neg-out_binary64`
29×	`/-rgt-identity_binary64`
28×	`sqr-pow_binary64`
26×	`*-lft-identity_binary64` `distribute-rgt-out_binary64`
24×	`associate-*r/_binary64` `associate-+r+_binary64`
22×	`log-prod_binary64`
19×	`exp-diff_binary64`
18×	`distribute-lft-out_binary64`
14×	`unpow3_binary64` `unswap-sqr_binary64`
13×	`log-rec_binary64`
12×	`exp-neg_binary64`
11×	`cube-mult_binary64`
9×	`cube-unmult_binary64`
7×	`sqr-neg_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-frac-neg_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

104 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2014
1	521	1849
2	2073	1711
3	4576	1711
4	5380	1711

prune31.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	7	59

Error

0.0b

Counts

59 → 7

Compiler

Compiled 622 to 225 computations (63.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite96.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

2 → 102

Calls

2 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 1538 to 306 computations (80.1% saved)

series176.0ms (3.6%)

Error

0.0b

Counts

2 → 57

Calls

2 calls:

85.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
58.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 2601 to 1712 computations (34.2% saved)

simplify171.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

358×	`cancel-sign-sub-inv_binary64`
349×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
283×	`sub-neg_binary64`
177×	`div-sub_binary64`
174×	`neg-mul-1_binary64` `associate-/l*_binary64`
131×	`associate-l_binary64`
119×	`times-frac_binary64`
116×	`associate-r_binary64`
112×	`+-commutative_binary64`
104×	`associate--l+_binary64`
100×	`associate--r+_binary64`
84×	`distribute-neg-in_binary64`
81×	`*-commutative_binary64`
80×	`distribute-neg-frac_binary64`
68×	`associate-/r*_binary64`
65×	`neg-sub0_binary64` `associate-*r/_binary64`
63×	`associate-+l+_binary64`
62×	`distribute-rgt-neg-in_binary64`
58×	`distribute-lft-neg-in_binary64`
56×	`unsub-neg_binary64`
42×	`associate-+r+_binary64`
41×	`-rgt-identity_binary64` `associate-l/_binary64`
38×	`associate-/l/_binary64`
35×	`*-lft-identity_binary64` `associate-/r/_binary64`
34×	`distribute-rgt-out_binary64`
26×	`sqr-pow_binary64`
25×	`/-rgt-identity_binary64`
24×	`distribute-lft-neg-out_binary64`
23×	`log-prod_binary64` `cube-prod_binary64` `distribute-rgt-neg-out_binary64`
19×	`exp-sum_binary64`
17×	`exp-prod_binary64`
16×	`distribute-lft-out_binary64`
15×	`log-div_binary64`
14×	`unpow3_binary64` `unswap-sqr_binary64`
13×	`cube-div_binary64`
12×	`distribute-rgt1-in_binary64`
9×	`cube-unmult_binary64`
7×	`cube-mult_binary64`
6×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64`
5×	`swap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`exp-diff_binary64` `difference-of-squares_binary64`
3×	`unpow1/2_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-lft1-in_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` `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` `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` `+-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

159 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3714
1	703	3564
2	2560	3297
3	4613	3297
4	4995	3297
5	4973	3297

prune48.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Error

0.0b

Counts

99 → 10

Compiler

Compiled 1290 to 419 computations (67.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
1.5b	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`associate-l_binary64`
30×	`add-exp-log_binary64`
27×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`cbrt-prod_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow-prod-down_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`associate-l/_binary64` `associate-/r/_binary64` `-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`

Counts

4 → 104

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
15.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2257 to 357 computations (84.2% saved)

series282.0ms (5.8%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

123.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
90.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
19.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)

Compiler

Compiled 3500 to 2306 computations (34.1% saved)

simplify158.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

489×	`cancel-sign-sub-inv_binary64`
265×	`associate-l_binary64`
248×	`sub-neg_binary64`
230×	`associate-r_binary64`
175×	`associate-/l*_binary64`
155×	`div-sub_binary64`
151×	`unswap-sqr_binary64`
146×	`*-commutative_binary64`
115×	`distribute-rgt-neg-in_binary64`
110×	`times-frac_binary64`
108×	`log-prod_binary64`
105×	`+-commutative_binary64`
102×	`exp-prod_binary64`
101×	`distribute-lft-neg-in_binary64`
92×	`distribute-rgt-out_binary64`
90×	`associate--l+_binary64`
86×	`associate--r+_binary64`
85×	`distribute-lft-out--_binary64`
82×	`cube-prod_binary64` `distribute-neg-in_binary64`
78×	`associate-*l/_binary64`
76×	`distribute-neg-frac_binary64`
73×	`associate-*r/_binary64`
65×	`associate-+l+_binary64`
62×	`associate-/r*_binary64`
61×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64` `associate-+r+_binary64`
46×	`unsub-neg_binary64`
44×	`sqr-pow_binary64`
28×	`distribute-lft-neg-out_binary64`
27×	`distribute-rgt-out--_binary64`
26×	`log-div_binary64`
24×	`cube-div_binary64` `associate-/r/_binary64`
23×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
22×	`unpow3_binary64`
19×	`swap-sqr_binary64`
18×	`distribute-rgt-neg-out_binary64`
16×	`cube-unmult_binary64` `cube-mult_binary64`
14×	`exp-sum_binary64` `mul-1-neg_binary64`
11×	`distribute-rgt1-in_binary64`
9×	`exp-diff_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
8×	`pow-plus_binary64` `distribute-lft-out_binary64`
6×	`log-pow_binary64` `rem-sqrt-square_binary64`
5×	`exp-neg_binary64`
4×	`pow-sqr_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64`
2×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-neg_binary64` `sqr-neg_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

166 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4208
1	795	3481
2	2880	3263
3	4622	3263
4	5011	3263

prune61.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	129	10	139

Error

0.0b

Counts

139 → 10

Compiler

Compiled 1992 to 536 computations (73.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
0.7b	(.f64 (sqrt.f64 x) (.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
1.0b	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x))

rewrite119.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`add-sqr-sqrt_binary64`
74×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
37×	`associate-l_binary64`
30×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
8×	`sqrt-prod_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-/r/_binary64`
3×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-l/_binary64` `div-inv_binary64` `-commutative_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 131

Calls

3 calls:

16.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x))
15.0ms	(.f64 (sqrt.f64 x) (.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
12.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 2373 to 440 computations (81.5% saved)

series259.0ms (5.3%)

Error

0.0b

Counts

3 → 80

Calls

3 calls:

89.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x))
81.0ms	(.f64 (sqrt.f64 x) (.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
49.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 4111 to 2530 computations (38.5% saved)

simplify141.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

954×	`times-frac_binary64`
527×	`cancel-sign-sub-inv_binary64`
353×	`sub-neg_binary64`
168×	`associate-/l*_binary64`
151×	`*-commutative_binary64`
145×	`associate-l_binary64`
139×	`+-commutative_binary64`
136×	`associate--l+_binary64`
125×	`associate-r_binary64`
121×	`associate--r+_binary64`
98×	`associate-*l/_binary64`
95×	`div-sub_binary64`
89×	`associate-+l+_binary64`
86×	`neg-sub0_binary64`
78×	`neg-mul-1_binary64`
72×	`unsub-neg_binary64` `associate-*r/_binary64`
70×	`associate-/r*_binary64`
61×	`associate-+r+_binary64`
52×	`distribute-rgt-in_binary64`
50×	`distribute-lft-in_binary64`
38×	`distribute-neg-in_binary64`
37×	`associate-/r/_binary64`
34×	`unswap-sqr_binary64`
33×	`sqr-pow_binary64`
29×	`associate-/l/_binary64`
26×	`exp-prod_binary64`
20×	`*-rgt-identity_binary64`
17×	`distribute-rgt-out_binary64`
16×	`distribute-neg-frac_binary64`
15×	`log-prod_binary64` `swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
14×	`distribute-lft-out_binary64`
13×	`log-div_binary64`
11×	`cube-prod_binary64`
10×	`cube-div_binary64`
9×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
8×	`exp-sum_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64`
6×	`distribute-lft-out--_binary64`
4×	`exp-diff_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `distribute-rgt1-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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `sqr-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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

211 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	5340
1	948	4889
2	3119	4790
3	5408	4790

prune67.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	149	10	159

Error

Counts

159 → 10

Compiler

Compiled 2280 to 540 computations (76.3% saved)

regimes1.1s (22.3%)

Accuracy

Total 1.0b remaining (97.7%)

Threshold costs 1.0b (97.7%)

Compiler

Compiled 10646 to 7505 computations (29.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end1.0ms (0%)

Compiler: Compiled 31 to 14 computations (54.8% saved)

sample795.0ms (16.3%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
18.0ms	589×	body	128	invalid

Compiler

Compiled 201 to 158 computations (21.4% saved)

Details

analyze635.0ms (13%)

sample19.0ms (0.4%)

simplify278.0ms (5.7%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite77.0ms (1.6%)

series131.0ms (2.7%)

simplify100.0ms (2%)

prune31.0ms (0.6%)

localize6.0ms (0.1%)

rewrite96.0ms (2%)

series176.0ms (3.6%)

simplify171.0ms (3.5%)

prune48.0ms (1%)

localize14.0ms (0.3%)

rewrite109.0ms (2.2%)

series282.0ms (5.8%)

simplify158.0ms (3.2%)

prune61.0ms (1.3%)

localize8.0ms (0.2%)

rewrite119.0ms (2.4%)

series259.0ms (5.3%)

simplify141.0ms (2.9%)

prune67.0ms (1.4%)

regimes1.1s (22.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample795.0ms (16.3%)

Profiling