Details

analyze713.0ms (17.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

923×	`times-frac_binary64`
904×	`div-sub_binary64`
675×	`unsub-neg_binary64`
490×	`sub-neg_binary64`
384×	`cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64`
288×	`distribute-lft-in_binary64`
275×	`neg-mul-1_binary64`
215×	`neg-sub0_binary64`
142×	`distribute-rgt-neg-out_binary64`
129×	`associate--r+_binary64`
122×	`distribute-rgt-neg-in_binary64`
106×	`distribute-lft-neg-out_binary64`
104×	`associate-+l-_binary64`
99×	`distribute-frac-neg_binary64`
93×	`distribute-lft-neg-in_binary64`
79×	`distribute-neg-frac_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `+-commutative_binary64`
73×	`*-commutative_binary64`
72×	`associate-+r+_binary64`
63×	`distribute-rgt-out--_binary64`
62×	`associate-+r-_binary64`
55×	`distribute-rgt-out_binary64`
53×	`mul0-rgt_binary64`
52×	`distribute-neg-out_binary64`
50×	`distribute-neg-in_binary64`
49×	`mul0-lft_binary64` `associate-+l+_binary64`
46×	`remove-double-neg_binary64` `sub0-neg_binary64`
39×	`associate-r_binary64`
36×	`associate-*l/_binary64`
32×	`associate--l+_binary64`
24×	`associate-/l/_binary64`
23×	`associate--l-_binary64`
22×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `associate--r-_binary64`
18×	`div0_binary64`
17×	`associate-l_binary64`
14×	`associate-*r/_binary64`
13×	`distribute-rgt1-in_binary64`
7×	`-lft-identity_binary64` `associate-/r_binary64`
5×	`distribute-lft-out--_binary64`
3×	`mul-1-neg_binary64`
2×	`distribute-lft1-in_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `--rgt-identity_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-inverses_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` `cancel-sign-sub_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	69	91
2	168	91
3	294	91
4	563	91
5	1433	91
6	2077	91
7	3903	91
8	4849	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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	86×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

239×	`cancel-sign-sub-inv_binary64`
193×	`distribute-rgt-in_binary64`
133×	`distribute-lft-in_binary64`
105×	`unsub-neg_binary64`
97×	`div-sub_binary64`
81×	`sub-neg_binary64`
79×	`associate-/l*_binary64`
77×	`distribute-rgt-neg-in_binary64`
73×	`associate-l_binary64`
66×	`associate-/r/_binary64`
63×	`associate-r_binary64`
60×	`distribute-lft-neg-in_binary64`
57×	`distribute-rgt-neg-out_binary64`
51×	`distribute-lft-neg-out_binary64`
45×	`*-commutative_binary64`
43×	`associate-/r*_binary64`
40×	`associate--r+_binary64`
33×	`distribute-neg-in_binary64`
32×	`neg-mul-1_binary64`
31×	`neg-sub0_binary64`
29×	`associate-/l/_binary64`
24×	`mul0-lft_binary64` `distribute-neg-frac_binary64`
23×	`mul0-rgt_binary64` `distribute-rgt-out_binary64`
22×	`distribute-rgt-out--_binary64`
21×	`associate-+l-_binary64`
19×	`associate--l+_binary64` `+-commutative_binary64`
17×	`associate-*l/_binary64`
15×	`distribute-lft-out--_binary64`
13×	`sub0-neg_binary64`
12×	`distribute-frac-neg_binary64`
11×	`associate-+l+_binary64`
10×	`*-lft-identity_binary64`
9×	`+-lft-identity_binary64` `associate--r-_binary64` `associate--l-_binary64`
8×	`associate-+r-_binary64` `associate-+r+_binary64`
7×	`-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `associate-r/_binary64`
6×	`distribute-neg-out_binary64`
5×	`+-rgt-identity_binary64`
4×	`/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`--rgt-identity_binary64`
1×	`1-exp_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `*-inverses_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` `cancel-sign-sub_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	33	13
3	60	13
4	111	13
5	202	13
6	310	13
7	608	13
8	806	13
9	821	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	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

6.9b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite78.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `associate-r*_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
6.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

Compiler

Compiled 881 to 237 computations (73.1% saved)

series156.0ms (3.8%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

65.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
47.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
24.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1082 to 847 computations (21.7% saved)

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

545×	`times-frac_binary64`
510×	`associate-/l*_binary64`
357×	`div-sub_binary64`
320×	`distribute-rgt-in_binary64`
315×	`associate-*l/_binary64`
301×	`distribute-lft-in_binary64`
259×	`associate-*r/_binary64`
200×	`associate-/l/_binary64`
157×	`associate-/r/_binary64`
139×	`associate-/r*_binary64`
66×	`exp-prod_binary64`
59×	`sub-neg_binary64`
58×	`*-commutative_binary64`
56×	`associate-l_binary64`
49×	`distribute-neg-frac_binary64`
44×	`associate-r_binary64`
42×	`log-div_binary64`
41×	`cube-div_binary64`
37×	`cube-prod_binary64` `distribute-rgt-neg-in_binary64`
35×	`log-prod_binary64`
32×	`neg-sub0_binary64`
31×	`cancel-sign-sub-inv_binary64`
30×	`distribute-lft-neg-in_binary64` `+-commutative_binary64`
28×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
26×	`neg-mul-1_binary64`
24×	`sqr-pow_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`*-rgt-identity_binary64`
16×	`distribute-neg-in_binary64`
15×	`exp-diff_binary64`
13×	`unpow3_binary64`
12×	`/-rgt-identity_binary64`
11×	`*-lft-identity_binary64`
10×	`cube-mult_binary64`
8×	`log-rec_binary64`
7×	`mul-1-neg_binary64`
6×	`swap-sqr_binary64`
5×	`distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
4×	`unsub-neg_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate-+l+_binary64`
3×	`cube-unmult_binary64`
2×	`associate-+r+_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `pow-sqr_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

114 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1466
1	349	1247
2	1088	1245
3	4309	1245
4	5127	1245

prune46.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Error

0.0b

Counts

88 → 9

Compiler

Compiled 732 to 267 computations (63.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite61.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 828 to 219 computations (73.6% saved)

series119.0ms (2.9%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

64.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
45.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 839 to 639 computations (23.8% saved)

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

544×	`div-sub_binary64`
475×	`associate-l_binary64`
419×	`distribute-rgt-in_binary64`
402×	`distribute-lft-in_binary64`
388×	`associate-r_binary64`
331×	`associate-*r/_binary64`
313×	`associate-*l/_binary64`
227×	`associate-/l*_binary64`
106×	`distribute-neg-frac_binary64`
96×	`unsub-neg_binary64`
95×	`*-lft-identity_binary64`
94×	`times-frac_binary64` `neg-sub0_binary64`
92×	`exp-prod_binary64`
91×	`*-rgt-identity_binary64`
81×	`sub-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
72×	`associate-/r/_binary64`
69×	`*-commutative_binary64`
64×	`neg-mul-1_binary64`
60×	`associate-/l/_binary64`
55×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
47×	`exp-sum_binary64`
45×	`cube-prod_binary64`
43×	`sqr-pow_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`exp-diff_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`unswap-sqr_binary64`
34×	`log-prod_binary64`
31×	`+-commutative_binary64`
27×	`distribute-rgt-neg-out_binary64`
23×	`log-div_binary64` `distribute-neg-in_binary64`
21×	`cube-div_binary64`
19×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
16×	`distribute-rgt-out_binary64`
15×	`unpow3_binary64`
12×	`swap-sqr_binary64`
11×	`remove-double-neg_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`cube-unmult_binary64`
8×	`cube-mult_binary64`
6×	`cube-neg_binary64`
5×	`sqr-neg_binary64` `difference-of-squares_binary64`
4×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
3×	`log-rec_binary64` `div0_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_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` `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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

91 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1324
1	359	1171
2	1184	1171
3	4128	1171
4	4671	1171
5	5762	1171

prune33.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	68	9	77

Error

0.0b

Counts

77 → 9

Compiler

Compiled 610 to 221 computations (63.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 y x))
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 z (-.f64 y x)))))
0.6b	(/.f64 1 (/.f64 t (*.f64 z (-.f64 y x))))
8.0b	(/.f64 t (*.f64 z (-.f64 y x)))

rewrite174.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64` `cancel-sign-sub-inv_binary64`
5×	`prod-exp_binary64` `associate-r_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`cbrt-unprod_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out_binary64` `sub-neg_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 z (-.f64 y x)))))
10.0ms	(*.f64 z (-.f64 y x))
8.0ms	(/.f64 1 (/.f64 t (*.f64 z (-.f64 y x))))
6.0ms	(/.f64 t (*.f64 z (-.f64 y x)))

Compiler

Compiled 2381 to 894 computations (62.5% saved)

series217.0ms (5.3%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

66.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 z (-.f64 y x)))))
58.0ms	(/.f64 t (*.f64 z (-.f64 y x)))
47.0ms	(/.f64 1 (/.f64 t (*.f64 z (-.f64 y x))))
25.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 1885 to 1465 computations (22.3% saved)

simplify135.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-/r/_binary64`
454×	`distribute-rgt-in_binary64`
423×	`distribute-lft-in_binary64`
322×	`associate-/l/_binary64`
218×	`div-sub_binary64`
131×	`exp-prod_binary64`
123×	`associate-r_binary64`
108×	`associate-l_binary64` `*-commutative_binary64`
101×	`associate-/r*_binary64`
91×	`associate-/l*_binary64`
83×	`cancel-sign-sub-inv_binary64`
79×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
76×	`times-frac_binary64`
73×	`sub-neg_binary64`
64×	`cube-prod_binary64`
63×	`distribute-neg-frac_binary64`
62×	`exp-sum_binary64`
61×	`distribute-lft-neg-in_binary64`
56×	`associate-*r/_binary64`
55×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
43×	`+-commutative_binary64`
42×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
40×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
38×	`log-prod_binary64`
37×	`log-div_binary64` `cube-div_binary64`
34×	`distribute-rgt-out_binary64`
32×	`sqr-pow_binary64`
26×	`*-lft-identity_binary64`
20×	`unsub-neg_binary64` `/-rgt-identity_binary64`
18×	`exp-diff_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`associate-+r+_binary64`
14×	`unpow3_binary64`
13×	`swap-sqr_binary64`
11×	`log-rec_binary64` `exp-neg_binary64`
10×	`cube-mult_binary64` `unswap-sqr_binary64`
8×	`cube-unmult_binary64` `mul-1-neg_binary64`
7×	`associate--r+_binary64`
6×	`difference-of-squares_binary64`
5×	`associate-+r-_binary64` `associate-+l+_binary64`
4×	`distribute-lft-out_binary64` `associate--r-_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-frac-neg_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `fabs-mul_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `remove-double-div_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

208 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3201
1	560	2851
2	1920	2798
3	4592	2798
4	5279	2798

prune67.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	137	9	146

Error

0.0b

Counts

146 → 9

Compiler

Compiled 1035 to 400 computations (61.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.0b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (.f64 z (-.f64 y x)))) (cbrt.f64 (*.f64 z (-.f64 y x)))) t)
10.1b	(cbrt.f64 (*.f64 z (-.f64 y x)))
10.1b	(cbrt.f64 (*.f64 z (-.f64 y x)))
10.1b	(cbrt.f64 (*.f64 z (-.f64 y x)))

rewrite126.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

68×	`associate-*r/_binary64`
60×	`cbrt-div_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
26×	`associate-/l/_binary64`
14×	`associate-*l/_binary64`
13×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64` `prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 82

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (.f64 z (-.f64 y x)))) (cbrt.f64 (*.f64 z (-.f64 y x)))) t)
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
4.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
4.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 3155 to 606 computations (80.8% saved)

series303.0ms (7.5%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

77.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
62.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (.f64 z (-.f64 y x)))) (cbrt.f64 (*.f64 z (-.f64 y x)))) t)
57.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
57.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 4437 to 2784 computations (37.3% saved)

simplify146.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/l*_binary64`
632×	`times-frac_binary64`
258×	`associate-/l/_binary64`
185×	`associate-/r/_binary64` `associate-/r*_binary64`
180×	`distribute-rgt-in_binary64`
178×	`distribute-lft-in_binary64`
104×	`exp-prod_binary64`
96×	`associate-l_binary64`
77×	`associate-r_binary64`
76×	`*-commutative_binary64`
71×	`log-prod_binary64`
70×	`sub-neg_binary64`
69×	`log-div_binary64`
67×	`distribute-rgt-neg-in_binary64`
61×	`distribute-lft-neg-in_binary64`
48×	`cancel-sign-sub-inv_binary64`
47×	`sqr-pow_binary64`
45×	`div-sub_binary64` `neg-sub0_binary64`
44×	`distribute-neg-frac_binary64`
43×	`associate-*l/_binary64`
39×	`associate-*r/_binary64`
37×	`exp-sum_binary64`
34×	`neg-mul-1_binary64`
26×	`+-commutative_binary64`
21×	`log-pow_binary64`
17×	`unpow3_binary64` `cube-div_binary64`
16×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
13×	`unpow1/3_binary64` `mul-1-neg_binary64`
10×	`unswap-sqr_binary64`
9×	`exp-diff_binary64` `distribute-neg-out_binary64`
8×	`*-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64`
7×	`log-rec_binary64` `exp-to-pow_binary64` `cube-unmult_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
6×	`pow-plus_binary64` `cube-prod_binary64` `associate--r-_binary64` `associate-+l+_binary64`
4×	`remove-double-neg_binary64` `associate--l+_binary64`
3×	`cube-mult_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
2×	`*-lft-identity_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

139 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2621
1	466	2501
2	1307	2438
3	4707	2387
4	4996	2387
5	4966	2387

prune76.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	97	9	106

Error

0.0b

Counts

106 → 9

Compiler

Compiled 2434 to 789 computations (67.6% saved)

regimes436.0ms (10.7%)

Accuracy

Total 1.9b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 4786 to 3607 computations (24.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	9	13
1	12	13
2	17	13
3	19	13
4	20	13
5	20	13

end1.0ms (0%)

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

sample863.0ms (21.2%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
69.0ms	2081×	body	128	invalid

Compiler

Compiled 162 to 127 computations (21.6% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	33	13
3	60	13
4	111	13
5	202	13
6	310	13
7	608	13
8	806	13
9	821	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	33	13
3	60	13
4	111	13
5	202	13
6	310	13
7	608	13
8	806	13
9	821	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze713.0ms (17.5%)

sample29.0ms (0.7%)

simplify59.0ms (1.4%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite78.0ms (1.9%)

series156.0ms (3.8%)

simplify85.0ms (2.1%)

prune46.0ms (1.1%)

localize6.0ms (0.2%)

rewrite61.0ms (1.5%)

series119.0ms (2.9%)

simplify103.0ms (2.5%)

prune33.0ms (0.8%)

localize8.0ms (0.2%)

rewrite174.0ms (4.3%)

series217.0ms (5.3%)

simplify135.0ms (3.3%)

prune67.0ms (1.7%)

localize14.0ms (0.3%)

rewrite126.0ms (3.1%)

series303.0ms (7.5%)

simplify146.0ms (3.6%)

prune76.0ms (1.9%)

regimes436.0ms (10.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample863.0ms (21.2%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	33	13
3	60	13
4	111	13
5	202	13
6	310	13
7	608	13
8	806	13
9	821	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13