Details

analyze513.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

930×	`unsub-neg_binary64`
674×	`neg-sub0_binary64`
602×	`distribute-rgt-in_binary64`
589×	`neg-mul-1_binary64`
463×	`distribute-lft-in_binary64`
360×	`distribute-rgt-neg-out_binary64`
345×	`associate-+r+_binary64`
324×	`distribute-lft-neg-out_binary64`
320×	`associate-l_binary64`
311×	`distribute-neg-out_binary64`
295×	`associate-+l+_binary64`
290×	`sub-neg_binary64`
269×	`associate-r_binary64`
228×	`distribute-neg-in_binary64`
203×	`distribute-rgt-out_binary64`
174×	`remove-double-neg_binary64`
164×	`*-commutative_binary64`
145×	`associate--l+_binary64`
139×	`distribute-rgt-neg-in_binary64`
124×	`+-commutative_binary64`
116×	`distribute-lft-neg-in_binary64`
86×	`associate--r-_binary64`
77×	`distribute-lft-out_binary64`
55×	`associate--l-_binary64` `associate--r+_binary64`
34×	`mul0-rgt_binary64` `mul0-lft_binary64`
33×	`associate-+l-_binary64`
32×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out--_binary64`
27×	`sub0-neg_binary64`
23×	`+-rgt-identity_binary64`
20×	`associate-+r-_binary64`
14×	`distribute-lft1-in_binary64`
13×	`mul-1-neg_binary64`
11×	`distribute-rgt1-in_binary64`
8×	`--rgt-identity_binary64`
6×	`cancel-sign-sub_binary64`
3×	`distribute-lft-out--_binary64`
2×	`*-lft-identity_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	57	64
2	148	64
3	437	64
4	1173	64
5	2493	64
6	3995	64
7	4516	64
8	4905	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	233×	body	128	valid
1.0ms	10×	body	1024	valid
1.0ms	9×	body	512	valid
0.0ms	13×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify230.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

679×	`unsub-neg_binary64`
400×	`sub-neg_binary64`
289×	`distribute-rgt-in_binary64` `associate--r+_binary64`
257×	`distribute-neg-out_binary64`
230×	`associate-+l+_binary64`
220×	`distribute-lft-in_binary64`
213×	`distribute-rgt-neg-in_binary64`
212×	`associate-+l-_binary64`
205×	`distribute-lft-neg-out_binary64`
200×	`distribute-neg-in_binary64`
191×	`distribute-rgt-neg-out_binary64`
182×	`neg-sub0_binary64`
170×	`associate-l_binary64`
166×	`*-commutative_binary64`
163×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
162×	`associate-r_binary64`
141×	`associate--r-_binary64`
130×	`+-commutative_binary64`
102×	`distribute-rgt-out--_binary64` `associate--l-_binary64`
85×	`distribute-rgt-out_binary64`
81×	`associate-+r+_binary64`
79×	`associate--l+_binary64`
66×	`cancel-sign-sub-inv_binary64`
65×	`associate-+r-_binary64`
60×	`remove-double-neg_binary64` `sub0-neg_binary64`
56×	`distribute-lft-out_binary64`
42×	`distribute-lft-out--_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64`
15×	`+-rgt-identity_binary64`
6×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `+-lft-identity_binary64`
5×	`cancel-sign-sub_binary64` `distribute-rgt1-in_binary64`
4×	`*-lft-identity_binary64` `--rgt-identity_binary64`
3×	`distribute-lft1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	23	16
2	56	16
3	145	16
4	372	16
5	895	16
6	1651	16
7	2142	16
8	2356	16
9	2486	16
10	2528	16
11	2543	16
12	2546	16
13	2546	16
14	2546	16
15	2720	16
16	2594	16
17	2594	16
18	2426	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite140.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64` `associate-+r+_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `diff-log_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
6.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

Compiler

Compiled 1753 to 983 computations (43.9% saved)

series162.0ms (3%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

62.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
45.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
20.0ms	(*.f64 (-.f64 y x) 6)
8.0ms	(-.f64 2/3 z)

Compiler

Compiled 1445 to 1208 computations (16.4% saved)

simplify156.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

371×	`cancel-sign-sub-inv_binary64`
361×	`exp-prod_binary64`
350×	`unsub-neg_binary64`
248×	`neg-sub0_binary64`
242×	`neg-mul-1_binary64`
236×	`sub-neg_binary64`
219×	`associate-l_binary64`
204×	`+-commutative_binary64`
182×	`associate-r_binary64`
147×	`*-commutative_binary64`
129×	`distribute-rgt-in_binary64`
122×	`distribute-lft-in_binary64` `associate-+l+_binary64`
114×	`distribute-rgt-neg-in_binary64`
111×	`associate-+r+_binary64`
102×	`distribute-rgt-neg-out_binary64`
98×	`distribute-lft-neg-out_binary64`
97×	`distribute-lft-neg-in_binary64`
87×	`sqr-pow_binary64`
75×	`exp-sum_binary64`
57×	`log-prod_binary64`
51×	`exp-diff_binary64`
45×	`cube-prod_binary64`
44×	`associate-+l-_binary64`
43×	`remove-double-neg_binary64`
39×	`distribute-neg-in_binary64`
36×	`*-lft-identity_binary64` `swap-sqr_binary64`
35×	`associate--r+_binary64`
34×	`associate--l+_binary64`
33×	`associate-+r-_binary64`
31×	`unswap-sqr_binary64`
27×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
25×	`sub0-neg_binary64`
23×	`unpow3_binary64`
22×	`+-rgt-identity_binary64`
15×	`exp-neg_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`cube-mult_binary64`
11×	`div-sub_binary64`
10×	`pow-sqr_binary64` `distribute-lft-out_binary64`
8×	`prod-exp_binary64` `difference-of-squares_binary64`
6×	`distribute-lft-out--_binary64`
5×	`pow-plus_binary64`
4×	`cube-unmult_binary64` `mul-1-neg_binary64`
3×	`unpow1/2_binary64` `cube-neg_binary64`
2×	`cube-div_binary64` `sqr-neg_binary64` `associate--l-_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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` `sqr-abs_binary64` `times-frac_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

147 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2200
1	538	2074
2	1828	1915
3	3286	1915
4	4732	1915
5	4995	1915
6	4946	1915

prune73.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	8	111

Error

0.0b

Counts

111 → 8

Compiler

Compiled 1278 to 741 computations (42% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite135.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`associate-+l+_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64`
4×	`associate-*r/_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64` `*-commutative_binary64` `associate-+r+_binary64`

Counts

3 → 76

Calls

3 calls:

11.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
10.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
9.0ms	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 1815 to 1011 computations (44.3% saved)

series177.0ms (3.3%)

Error

0.0b

Counts

3 → 51

Calls

3 calls:

62.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
54.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
34.0ms	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 1552 to 1297 computations (16.4% saved)

simplify104.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

633×	`distribute-rgt-in_binary64`
590×	`distribute-lft-in_binary64`
322×	`cancel-sign-sub-inv_binary64`
202×	`exp-prod_binary64`
184×	`associate-l_binary64`
179×	`associate-r_binary64`
155×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
125×	`distribute-lft-neg-out_binary64`
122×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
89×	`log-prod_binary64`
81×	`sub-neg_binary64`
61×	`exp-diff_binary64`
59×	`+-commutative_binary64`
52×	`neg-sub0_binary64`
49×	`distribute-rgt-out_binary64`
43×	`neg-mul-1_binary64` `unsub-neg_binary64`
35×	`sqr-pow_binary64`
32×	`cube-prod_binary64`
31×	`swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
27×	`distribute-neg-in_binary64`
22×	`distribute-rgt-out--_binary64`
21×	`unpow3_binary64`
14×	`exp-sum_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
12×	`unswap-sqr_binary64`
11×	`associate--l+_binary64` `associate-+l+_binary64`
8×	`associate-+r+_binary64`
7×	`cube-mult_binary64`
6×	`mul-1-neg_binary64` `difference-of-squares_binary64`
5×	`prod-exp_binary64`
4×	`cube-unmult_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`
3×	`exp-lft-cube_binary64` `cube-neg_binary64` `sqr-neg_binary64` `associate-+r-_binary64`
2×	`associate-+l-_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

127 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2156
1	484	1937
2	1405	1931
3	4647	1931
4	4952	1931

prune61.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 1026 to 623 computations (39.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (*.f64 z 6))
0.0b	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
0.1b	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-un-lft-identity_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-l_binary64`
4×	`frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
3×	`associate-r_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `diff-log_binary64`

Counts

3 → 59

Calls

3 calls:

12.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
3.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1206 to 729 computations (39.6% saved)

series133.0ms (2.5%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

64.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
44.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
9.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1193 to 981 computations (17.8% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`distribute-rgt-in_binary64`
696×	`distribute-lft-in_binary64`
134×	`cancel-sign-sub-inv_binary64`
105×	`associate-l_binary64`
104×	`distribute-rgt-neg-in_binary64`
100×	`associate-+l+_binary64` `*-commutative_binary64`
95×	`associate-r_binary64`
92×	`distribute-lft-neg-out_binary64`
89×	`distribute-rgt-neg-out_binary64`
88×	`associate-+r+_binary64`
83×	`distribute-lft-neg-in_binary64`
79×	`exp-prod_binary64`
73×	`exp-sum_binary64` `sub-neg_binary64`
44×	`neg-sub0_binary64` `+-commutative_binary64`
42×	`associate-+l-_binary64`
37×	`neg-mul-1_binary64`
36×	`distribute-neg-in_binary64` `associate--r+_binary64` `associate-+r-_binary64`
32×	`associate--l+_binary64`
30×	`exp-diff_binary64`
29×	`distribute-rgt-out_binary64`
27×	`sqr-pow_binary64`
16×	`log-prod_binary64`
14×	`-rgt-identity_binary64` `-lft-identity_binary64`
12×	`cube-prod_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64`
9×	`unpow3_binary64` `mul-1-neg_binary64`
8×	`swap-sqr_binary64`
6×	`cube-mult_binary64` `unswap-sqr_binary64`
5×	`exp-neg_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`prod-exp_binary64` `remove-double-neg_binary64` `associate-/l*_binary64` `associate--l-_binary64`
1×	`unpow1/2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-unmult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div-sub_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-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` `log-pow_binary64` `log-rec_binary64` `log-div_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `times-frac_binary64` `/-rgt-identity_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-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

101 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1849
1	420	1747
2	1372	1678
3	4786	1678
4	4966	1678

prune73.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	3	3	6
Picked	1	0	1
Done	0	2	2
Total	80	9	89

Error

0.0b

Counts

89 → 9

Compiler

Compiled 1128 to 702 computations (37.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z)))))
0.1b	(.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z))))
0.1b	(.f64 z (.f64 36 z))
6.0b	(/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (*.f64 6 z)))

rewrite182.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
11×	`pow1_binary64`
8×	`associate-l_binary64`
6×	`add-log-exp_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`associate-/r/_binary64` `pow-prod-down_binary64`
3×	`flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l/_binary64` `-commutative_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z))))
7.0ms	(/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (*.f64 6 z)))
5.0ms	(.f64 z (.f64 36 z))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z)))))

Compiler

Compiled 3080 to 2095 computations (32% saved)

series355.0ms (6.5%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

196.0ms	(+.f64 x (.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z)))))
101.0ms	(.f64 (-.f64 y x) (/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (.f64 6 z))))
15.0ms	(/.f64 (-.f64 16 (.f64 z (.f64 36 z))) (+.f64 4 (*.f64 6 z)))
8.0ms	(.f64 z (.f64 36 z))

Compiler

Compiled 2478 to 2064 computations (16.7% saved)

simplify119.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

763×	`distribute-rgt-in_binary64`
717×	`distribute-lft-in_binary64`
187×	`associate-l_binary64`
181×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
151×	`*-commutative_binary64`
126×	`sub-neg_binary64`
119×	`distribute-rgt-neg-in_binary64`
118×	`times-frac_binary64`
88×	`distribute-lft-neg-in_binary64`
81×	`associate-/l*_binary64`
70×	`distribute-lft-neg-out_binary64`
69×	`associate-*r/_binary64`
68×	`+-commutative_binary64`
62×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
60×	`div-sub_binary64`
55×	`neg-mul-1_binary64`
52×	`distribute-rgt-neg-out_binary64`
45×	`associate-*l/_binary64`
42×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
36×	`sqr-pow_binary64` `associate--l+_binary64`
27×	`exp-prod_binary64` `*-rgt-identity_binary64`
26×	`associate--r+_binary64`
25×	`cube-prod_binary64`
23×	`unswap-sqr_binary64`
22×	`log-prod_binary64`
21×	`*-lft-identity_binary64` `associate-/l/_binary64`
18×	`associate-/r*_binary64`
16×	`unsub-neg_binary64`
15×	`swap-sqr_binary64` `distribute-rgt-out--_binary64`
14×	`associate-+l+_binary64`
12×	`associate-/r/_binary64`
10×	`log-div_binary64`
9×	`cube-div_binary64` `mul-1-neg_binary64` `associate-+r+_binary64`
8×	`unpow3_binary64` `exp-sum_binary64`
7×	`/-rgt-identity_binary64`
6×	`distribute-lft-out_binary64`
5×	`cube-unmult_binary64` `cube-mult_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`exp-diff_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
2×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_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-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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

146 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4289
1	735	3955
2	2359	3902
3	5577	3902

prune121.0ms (2.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	126	9	135

Error

0.0b

Counts

135 → 9

Compiler

Compiled 2546 to 1640 computations (35.6% saved)

regimes1.5s (28.3%)

Accuracy

Total 0.1b remaining (80.5%)

Threshold costs 0.1b (80.5%)

Compiler

Compiled 17653 to 14520 computations (17.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`+-commutative_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
6×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
5×	`distribute-lft-neg-in_binary64`
4×	`unsub-neg_binary64`
2×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `remove-double-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	31	22
2	46	22
3	60	22
4	78	22
5	87	22
6	88	22
7	83	22

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample890.0ms (16.4%)

Algorithm

1×

intervals

Results

290.0ms	7347×	body	128	valid
36.0ms	258×	body	1024	valid
25.0ms	575×	body	128	invalid
25.0ms	239×	body	512	valid
15.0ms	156×	body	256	valid

Compiler

Compiled 250 to 200 computations (20% saved)

Details

analyze513.0ms (9.4%)

sample24.0ms (0.4%)

simplify230.0ms (4.2%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite140.0ms (2.6%)

series162.0ms (3%)

simplify156.0ms (2.9%)

prune73.0ms (1.3%)

localize10.0ms (0.2%)

rewrite135.0ms (2.5%)

series177.0ms (3.3%)

simplify104.0ms (1.9%)

prune61.0ms (1.1%)

localize8.0ms (0.1%)

rewrite101.0ms (1.9%)

series133.0ms (2.5%)

simplify96.0ms (1.8%)

prune73.0ms (1.4%)

localize12.0ms (0.2%)

rewrite182.0ms (3.4%)

series355.0ms (6.5%)

simplify119.0ms (2.2%)

prune121.0ms (2.2%)

regimes1.5s (28.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample890.0ms (16.4%)

Profiling