Details

analyze709.0ms (14.1%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	55×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (1.2%)

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

5.9b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
6.4b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite84.0ms (1.7%)

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` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_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)

series148.0ms (3%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

61.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
45.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
24.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1082 to 847 computations (21.7% saved)

simplify83.0ms (1.7%)

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

prune43.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	8	88

Error

0.0b

Counts

88 → 8

Compiler

Compiled 718 to 252 computations (64.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite68.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

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:

11.0ms	(*.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)

series115.0ms (2.3%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

62.0ms	(+.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)

simplify106.0ms (2.1%)

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

prune29.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	68	8	76

Error

0.0b

Counts

76 → 8

Compiler

Compiled 616 to 217 computations (64.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
3.4b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.8b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

rewrite211.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

116×	`cbrt-div_binary64`
84×	`frac-times_binary64`
58×	`flip3--_binary64` `flip--_binary64`
37×	`associate-*r/_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `associate-*l/_binary64`
21×	`*-un-lft-identity_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
15×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64`
14×	`associate-l_binary64`
11×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`*-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64`

Counts

4 → 152

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
11.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 5058 to 1017 computations (79.9% saved)

series202.0ms (4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

74.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
57.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
26.0ms	(cbrt.f64 (-.f64 y x))
24.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2401 to 1654 computations (31.1% saved)

simplify215.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-*l/_binary64`
470×	`associate-*r/_binary64`
438×	`associate-/l*_binary64`
393×	`associate-r_binary64`
376×	`associate-l_binary64`
216×	`*-commutative_binary64`
171×	`distribute-lft-in_binary64`
170×	`distribute-rgt-in_binary64`
120×	`log-div_binary64`
103×	`exp-prod_binary64`
95×	`log-prod_binary64`
92×	`associate-/r*_binary64`
78×	`unswap-sqr_binary64`
68×	`times-frac_binary64`
59×	`associate-/r/_binary64`
53×	`sqr-pow_binary64`
48×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-neg-in_binary64`
43×	`distribute-lft-neg-in_binary64`
41×	`sub-neg_binary64`
27×	`neg-sub0_binary64`
23×	`+-commutative_binary64`
22×	`swap-sqr_binary64`
20×	`neg-mul-1_binary64`
19×	`*-rgt-identity_binary64`
18×	`cube-prod_binary64`
17×	`unpow3_binary64`
16×	`distribute-neg-frac_binary64`
15×	`*-lft-identity_binary64`
14×	`associate-/l/_binary64`
13×	`cube-unmult_binary64`
12×	`associate-+r+_binary64`
11×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
9×	`log-pow_binary64` `exp-sum_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
8×	`pow-plus_binary64` `mul-1-neg_binary64`
7×	`log-rec_binary64` `cube-div_binary64` `distribute-rgt-out_binary64`
6×	`unpow1/3_binary64`
5×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
4×	`associate-+r-_binary64`
3×	`cube-mult_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1/2_binary64` `exp-to-pow_binary64` `exp-diff_binary64` `rem-3cbrt-rft_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-cbrt-cube_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

200 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	5835
1	722	4894
2	1799	4762
3	4725	4756
4	4955	4756
5	4945	4756

prune81.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	156	8	164

Error

0.0b

Counts

164 → 8

Compiler

Compiled 2296 to 655 computations (71.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
2.4b	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
3.8b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))

rewrite167.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
30×	`add-exp-log_binary64`
29×	`associate-r_binary64`
28×	`cbrt-div_binary64`
26×	`cbrt-prod_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
16×	`frac-times_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`associate-*l/_binary64`
9×	`pow-prod-down_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64`
2×	`*-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64`

Counts

4 → 121

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))
12.0ms	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 3415 to 636 computations (81.4% saved)

series204.0ms (4.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

75.0ms	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
56.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))
26.0ms	(cbrt.f64 (-.f64 y x))
23.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2420 to 1665 computations (31.2% saved)

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-/l*_binary64`
479×	`associate-*l/_binary64`
331×	`associate-r_binary64`
307×	`associate-l_binary64`
239×	`times-frac_binary64`
178×	`*-commutative_binary64`
147×	`associate-/r*_binary64`
128×	`associate-/l/_binary64`
122×	`log-prod_binary64`
113×	`distribute-lft-in_binary64`
110×	`distribute-rgt-in_binary64`
99×	`log-div_binary64`
97×	`associate-/r/_binary64`
81×	`associate-*r/_binary64`
68×	`unswap-sqr_binary64`
56×	`cancel-sign-sub-inv_binary64`
53×	`sqr-pow_binary64`
50×	`distribute-rgt-neg-in_binary64`
46×	`distribute-lft-neg-in_binary64`
43×	`sub-neg_binary64`
42×	`exp-prod_binary64` `*-rgt-identity_binary64`
36×	`swap-sqr_binary64`
35×	`*-lft-identity_binary64`
27×	`+-commutative_binary64`
26×	`neg-sub0_binary64`
23×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
19×	`neg-mul-1_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
13×	`div-sub_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate-+r+_binary64`
10×	`cube-div_binary64`
9×	`associate-+l+_binary64`
8×	`log-rec_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
7×	`exp-sum_binary64`
6×	`log-pow_binary64` `unpow1/3_binary64`
5×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
4×	`pow-plus_binary64` `exp-diff_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
2×	`unsub-neg_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `fabs-div_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` `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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

169 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3498
1	598	2634
2	1931	2616
3	4855	2616
4	5005	2616

prune69.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	124	9	133

Error

0.0b

Counts

133 → 9

Compiler

Compiled 1820 to 500 computations (72.5% saved)

regimes1.2s (24.6%)

Accuracy

Total 1.7b remaining (98.7%)

Threshold costs 0b (0%)

Compiler

Compiled 9648 to 6242 computations (35.3% saved)

bsearch74.0ms (1.5%)

Steps

Iters	Range		Point
9	8.820464951949189e-301	3.2821656373722226e-293	8.045671285241528e-300
9	-4.904957765727101e-138	-3.5758075804134284e-143	-4.7704861853011726e-138

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
2×	`sub-neg_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` `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	30	88
1	40	88
2	45	88
3	47	88
4	48	88
5	48	88

end1.0ms (0%)

Compiler: Compiled 57 to 28 computations (50.9% saved)

sample916.0ms (18.2%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
70.0ms	2023×	body	128	invalid

Compiler

Compiled 250 to 167 computations (33.2% 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

analyze709.0ms (14.1%)

sample23.0ms (0.4%)

simplify58.0ms (1.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite84.0ms (1.7%)

series148.0ms (3%)

simplify83.0ms (1.7%)

prune43.0ms (0.8%)

localize6.0ms (0.1%)

rewrite68.0ms (1.3%)

series115.0ms (2.3%)

simplify106.0ms (2.1%)

prune29.0ms (0.6%)

localize11.0ms (0.2%)

rewrite211.0ms (4.2%)

series202.0ms (4%)

simplify215.0ms (4.3%)

prune81.0ms (1.6%)

localize14.0ms (0.3%)

rewrite167.0ms (3.3%)

series204.0ms (4.1%)

simplify135.0ms (2.7%)

prune69.0ms (1.4%)

regimes1.2s (24.6%)

bsearch74.0ms (1.5%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample916.0ms (18.2%)

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