Details

analyze159.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
540×	`distribute-rgt-neg-in_binary64`
449×	`sqr-pow_binary64`
425×	`distribute-lft-neg-in_binary64`
315×	`associate-l_binary64`
305×	`*-commutative_binary64`
290×	`neg-sub0_binary64`
287×	`neg-mul-1_binary64`
224×	`cube-prod_binary64`
210×	`unsub-neg_binary64`
208×	`unswap-sqr_binary64`
193×	`associate-r_binary64`
177×	`pow-sqr_binary64`
169×	`sub-neg_binary64`
150×	`distribute-rgt-neg-out_binary64`
133×	`unpow3_binary64`
129×	`distribute-rgt-in_binary64`
100×	`remove-double-neg_binary64`
92×	`distribute-lft-neg-out_binary64`
87×	`associate--r+_binary64`
81×	`cube-mult_binary64` `distribute-neg-in_binary64` `distribute-lft-in_binary64`
62×	`+-commutative_binary64`
51×	`pow-plus_binary64`
49×	`associate-+l-_binary64`
46×	`sqr-neg_binary64`
40×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
33×	`sub0-neg_binary64`
29×	`--rgt-identity_binary64`
26×	`swap-sqr_binary64`
25×	`rem-sqrt-square_binary64`
21×	`*-lft-identity_binary64`
18×	`*-rgt-identity_binary64`
17×	`cancel-sign-sub_binary64`
12×	`cube-neg_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
9×	`cube-unmult_binary64`
4×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
2×	`distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_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` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `difference-of-squares_binary64` `distribute-neg-frac_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-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	13
2	47	13
3	97	13
4	139	13
5	233	13
6	390	13
7	813	13
8	1208	13
9	1810	13
10	2073	13
11	2193	13
12	2400	13
13	2674	13
14	2986	13
15	3890	13
16	4960	13
17	4718	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify140.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
540×	`distribute-rgt-neg-in_binary64`
449×	`sqr-pow_binary64`
425×	`distribute-lft-neg-in_binary64`
315×	`associate-l_binary64`
305×	`*-commutative_binary64`
290×	`neg-sub0_binary64`
287×	`neg-mul-1_binary64`
224×	`cube-prod_binary64`
210×	`unsub-neg_binary64`
208×	`unswap-sqr_binary64`
193×	`associate-r_binary64`
177×	`pow-sqr_binary64`
169×	`sub-neg_binary64`
150×	`distribute-rgt-neg-out_binary64`
133×	`unpow3_binary64`
129×	`distribute-rgt-in_binary64`
100×	`remove-double-neg_binary64`
92×	`distribute-lft-neg-out_binary64`
87×	`associate--r+_binary64`
81×	`cube-mult_binary64` `distribute-neg-in_binary64` `distribute-lft-in_binary64`
62×	`+-commutative_binary64`
51×	`pow-plus_binary64`
49×	`associate-+l-_binary64`
46×	`sqr-neg_binary64`
40×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
33×	`sub0-neg_binary64`
29×	`--rgt-identity_binary64`
26×	`swap-sqr_binary64`
25×	`rem-sqrt-square_binary64`
21×	`*-lft-identity_binary64`
18×	`*-rgt-identity_binary64`
17×	`cancel-sign-sub_binary64`
12×	`cube-neg_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
9×	`cube-unmult_binary64`
4×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
2×	`distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_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` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `difference-of-squares_binary64` `distribute-neg-frac_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-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	13
2	47	13
3	97	13
4	139	13
5	233	13
6	390	13
7	813	13
8	1208	13
9	1810	13
10	2073	13
11	2193	13
12	2400	13
13	2674	13
14	2986	13
15	3890	13
16	4960	13
17	4718	13

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite61.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64` `cube-prod_binary64`
3×	`prod-exp_binary64` `associate-l_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `unpow3_binary64` `cube-mult_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
3.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 612 to 492 computations (19.6% saved)

series28.0ms (1.3%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

17.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
8.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 138 to 123 computations (10.9% saved)

simplify120.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr_binary64`
306×	`exp-prod_binary64`
278×	`*-commutative_binary64`
257×	`distribute-rgt-neg-in_binary64`
251×	`distribute-lft-neg-in_binary64`
220×	`sqr-pow_binary64`
218×	`cancel-sign-sub-inv_binary64`
178×	`log-prod_binary64`
145×	`distribute-rgt-in_binary64`
138×	`unsub-neg_binary64`
136×	`swap-sqr_binary64`
135×	`times-frac_binary64`
130×	`neg-mul-1_binary64`
126×	`neg-sub0_binary64`
114×	`distribute-lft-in_binary64`
111×	`sub-neg_binary64`
89×	`cube-prod_binary64`
79×	`associate-r_binary64`
75×	`associate-l_binary64`
73×	`distribute-rgt-out_binary64`
65×	`associate-+r+_binary64`
63×	`pow-sqr_binary64`
60×	`associate-+l+_binary64`
50×	`unpow3_binary64`
44×	`log-pow_binary64`
43×	`distribute-rgt-out--_binary64` `associate-/l*_binary64`
41×	`distribute-lft-out_binary64`
38×	`difference-of-squares_binary64`
28×	`associate-/r*_binary64`
26×	`+-commutative_binary64`
23×	`pow-plus_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
17×	`cube-mult_binary64`
16×	`exp-diff_binary64` `exp-sum_binary64` `distribute-lft-neg-out_binary64`
15×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
13×	`distribute-rgt-neg-out_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/l/_binary64`
10×	`associate-/r/_binary64`
9×	`sqr-neg_binary64`
6×	`unpow2_binary64` `sub0-neg_binary64` `count-2_binary64` `associate-+l-_binary64`
5×	`+-rgt-identity_binary64` `associate-+r-_binary64`
4×	`div-sub_binary64`
2×	`unpow1_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `rec-exp_binary64` `prod-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-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `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` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

52 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	654
1	179	596
2	550	590
3	1269	590
4	3541	584
5	4807	584
6	4979	584
7	4867	584

prune31.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

Counts

38 → 5

Compiler

Compiled 391 to 303 computations (22.5% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

0.1b

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

0.2b

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

rewrite101.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64` `associate-l_binary64`
10×	`prod-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `sqrt-prod_binary64`
8×	`unswap-sqr_binary64`
7×	`associate-r_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`cbrt-unprod_binary64`
3×	`sqr-pow_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 72

Calls

3 calls:

8.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

8.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

Compiler

Compiled 1226 to 1056 computations (13.9% saved)

series50.0ms (2.4%)

Error

Counts

3 → 12

Calls

3 calls:

22.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

13.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

11.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

Compiler

Compiled 283 to 260 computations (8.1% saved)

simplify77.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

440×	`distribute-rgt-neg-in_binary64`
410×	`distribute-lft-neg-in_binary64`
359×	`*-commutative_binary64`
276×	`associate-+l+_binary64`
255×	`exp-prod_binary64`
245×	`cancel-sign-sub-inv_binary64`
184×	`distribute-rgt-in_binary64`
172×	`associate-r_binary64`
171×	`associate-l_binary64`
153×	`sqr-pow_binary64`
149×	`log-prod_binary64`
147×	`distribute-lft-in_binary64`
129×	`unswap-sqr_binary64` `swap-sqr_binary64` `associate-/l*_binary64`
122×	`cube-prod_binary64`
87×	`associate-/r*_binary64`
68×	`neg-sub0_binary64`
67×	`neg-mul-1_binary64`
58×	`distribute-rgt-out_binary64`
30×	`sub-neg_binary64`
29×	`pow-sqr_binary64`
25×	`unpow3_binary64` `unsub-neg_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`associate-+r+_binary64`
20×	`+-commutative_binary64`
18×	`cube-mult_binary64` `associate-*r/_binary64`
17×	`associate-/l/_binary64`
15×	`log-pow_binary64` `pow-plus_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
14×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64`
12×	`*-rgt-identity_binary64` `difference-of-squares_binary64`
10×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
9×	`times-frac_binary64` `*-lft-identity_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`exp-diff_binary64` `associate-+l-_binary64`
5×	`associate-+r-_binary64`
3×	`sub0-neg_binary64` `+-rgt-identity_binary64`
2×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `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` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

84 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1299
1	246	1061
2	893	1055
3	2055	1044
4	4946	1044

prune49.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Error

Counts

74 → 5

Compiler

Compiled 747 to 615 computations (17.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.6b	(cbrt.f64 x)
0.8b	(pow.f64 (cbrt.f64 x) 3)

rewrite119.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64`
21×	`prod-exp_binary64`
19×	`associate-r_binary64`
18×	`add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
4×	`pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `pow-prod-down_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`rem-cube-cbrt_binary64` `unswap-sqr_binary64`

Counts

4 → 99

Calls

4 calls:

11.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
5.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
5.0ms	(pow.f64 (cbrt.f64 x) 3)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1602 to 932 computations (41.8% saved)

series66.0ms (3.1%)

Error

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow.f64 (cbrt.f64 x) 3)
15.0ms	(cbrt.f64 x)
13.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
10.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))

Compiler

Compiled 429 to 350 computations (18.4% saved)

simplify115.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

969×	`log-prod_binary64`
499×	`exp-prod_binary64`
491×	`*-commutative_binary64`
395×	`cube-prod_binary64`
312×	`swap-sqr_binary64`
267×	`sqr-pow_binary64`
232×	`associate-r_binary64`
214×	`associate-l_binary64`
128×	`neg-sub0_binary64`
123×	`log-pow_binary64`
122×	`neg-mul-1_binary64`
80×	`distribute-rgt-neg-in_binary64`
74×	`distribute-lft-neg-in_binary64`
69×	`pow-sqr_binary64`
56×	`distribute-rgt-neg-out_binary64`
51×	`unpow3_binary64`
44×	`cube-mult_binary64`
42×	`associate-/l*_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`cancel-sign-sub-inv_binary64`
38×	`pow-plus_binary64`
36×	`associate-+l+_binary64`
35×	`unswap-sqr_binary64`
34×	`sqr-neg_binary64`
32×	`associate-+r+_binary64`
29×	`distribute-rgt-in_binary64`
25×	`distribute-lft-in_binary64`
24×	`exp-neg_binary64` `cube-neg_binary64`
15×	`rem-sqrt-square_binary64`
14×	`remove-double-neg_binary64`
13×	`*-rgt-identity_binary64`
12×	`*-lft-identity_binary64`
9×	`cube-unmult_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
6×	`rem-cube-cbrt_binary64`
5×	`div-sub_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `exp-diff_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`unpow1/3_binary64` `unpow1_binary64` `exp-sum_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_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` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `times-frac_binary64` `unsub-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

111 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1000
1	257	843
2	1080	795
3	2523	763
4	4850	763
5	5405	763

prune33.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Error

Counts

86 → 5

Compiler

Compiled 541 to 373 computations (31.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x)))

0.2b

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x))

0.2b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite91.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-exp-log_binary64`
29×	`pow1_binary64` `add-cbrt-cube_binary64`
27×	`prod-exp_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
5×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
3×	`1-exp_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 62

Calls

3 calls:

12.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x))

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x)))

Compiler

Compiled 1173 to 738 computations (37.1% saved)

series38.0ms (1.8%)

Error

Counts

3 → 12

Calls

3 calls:

18.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x)))

9.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) (*.f64 1 x))

8.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

Compiler

Compiled 229 to 199 computations (13.1% saved)

simplify126.0ms (6%)

Algorithm

1×	egg-herbie

Rules

693×	`times-frac_binary64`
415×	`distribute-rgt-neg-in_binary64`
385×	`distribute-lft-neg-in_binary64`
362×	`cancel-sign-sub-inv_binary64`
255×	`*-commutative_binary64`
236×	`sqr-pow_binary64`
232×	`distribute-rgt-in_binary64`
213×	`unswap-sqr_binary64`
189×	`distribute-lft-in_binary64`
180×	`unsub-neg_binary64`
159×	`exp-prod_binary64`
155×	`associate-r_binary64`
151×	`neg-mul-1_binary64` `associate-l_binary64`
148×	`neg-sub0_binary64`
129×	`sub-neg_binary64`
104×	`distribute-rgt-out_binary64`
81×	`associate-+l+_binary64`
64×	`+-commutative_binary64`
63×	`rem-sqrt-square_binary64`
62×	`pow-sqr_binary64`
60×	`associate-+r+_binary64`
56×	`log-prod_binary64`
53×	`swap-sqr_binary64`
51×	`cube-prod_binary64`
45×	`distribute-rgt-out--_binary64`
43×	`exp-sum_binary64`
42×	`mul0-rgt_binary64` `mul0-lft_binary64`
29×	`distribute-lft-out_binary64`
27×	`-rgt-identity_binary64` `associate-/l_binary64`
25×	`exp-diff_binary64`
21×	`distribute-lft-neg-out_binary64`
17×	`pow-plus_binary64` `associate-/r*_binary64`
16×	`unpow3_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`unpow1/2_binary64` `+-rgt-identity_binary64`
13×	`log-pow_binary64` `cube-unmult_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
12×	`*-lft-identity_binary64`
11×	`div-sub_binary64`
10×	`cube-mult_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
8×	`associate-+r-_binary64`
7×	`associate-*r/_binary64`
6×	`associate-/l/_binary64`
5×	`+-lft-identity_binary64` `associate-/r/_binary64`
4×	`count-2_binary64`
3×	`unpow2_binary64` `cube-neg_binary64`
2×	`unpow1_binary64` `--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

74 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	830
1	224	752
2	792	752
3	1718	752
4	3899	731
5	4716	731
6	5682	731

prune25.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	55	5	60

Error

Counts

60 → 5

Compiler

Compiled 365 to 286 computations (21.6% saved)

regimes112.0ms (5.3%)

Accuracy

Total 0.1b remaining (88.6%)

Threshold costs 0.1b (88.6%)

Compiler

Compiled 1014 to 860 computations (15.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	25	13
3	29	13
4	32	13
5	33	13
6	32	13

end1.0ms (0%)

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

sample526.0ms (24.9%)

Algorithm

1×

intervals

Results

221.0ms

8000×

body

128

valid

Compiler

Compiled 94 to 82 computations (12.8% saved)

Details

analyze159.0ms (7.5%)

sample13.0ms (0.6%)

simplify140.0ms (6.6%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

rewrite61.0ms (2.9%)

series28.0ms (1.3%)

simplify120.0ms (5.6%)

prune31.0ms (1.5%)

localize8.0ms (0.4%)

rewrite101.0ms (4.8%)

series50.0ms (2.4%)

simplify77.0ms (3.6%)

prune49.0ms (2.3%)

localize9.0ms (0.4%)

rewrite119.0ms (5.6%)

series66.0ms (3.1%)

simplify115.0ms (5.4%)

prune33.0ms (1.6%)

localize8.0ms (0.4%)

rewrite91.0ms (4.3%)

series38.0ms (1.8%)

simplify126.0ms (6%)

prune25.0ms (1.2%)

regimes112.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample526.0ms (24.9%)

Profiling