Details

analyze998.0ms (12.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

921×	`div-sub_binary64`
612×	`unsub-neg_binary64`
465×	`neg-mul-1_binary64`
373×	`sub-neg_binary64`
297×	`distribute-rgt-in_binary64`
290×	`neg-sub0_binary64`
262×	`times-frac_binary64`
249×	`cancel-sign-sub-inv_binary64`
241×	`distribute-frac-neg_binary64`
218×	`distribute-lft-in_binary64`
151×	`+-commutative_binary64`
146×	`associate-+r+_binary64`
132×	`associate-+l+_binary64`
128×	`distribute-rgt-neg-out_binary64`
116×	`associate-/l*_binary64`
92×	`associate--r+_binary64`
82×	`*-commutative_binary64`
66×	`distribute-neg-in_binary64`
63×	`mul0-rgt_binary64` `mul0-lft_binary64`
56×	`associate-+l-_binary64`
54×	`associate-/r/_binary64`
51×	`associate-*l/_binary64`
45×	`associate-r_binary64`
44×	`associate-+r-_binary64`
42×	`distribute-neg-frac_binary64`
41×	`associate-*r/_binary64`
37×	`distribute-lft-neg-out_binary64`
34×	`sub0-neg_binary64`
28×	`associate-l_binary64`
27×	`div0_binary64`
26×	`+-rgt-identity_binary64`
25×	`associate--r-_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`distribute-neg-out_binary64`
16×	`remove-double-neg_binary64` `distribute-rgt-neg-in_binary64`
10×	`mul-1-neg_binary64`
6×	`associate--l+_binary64`
3×	`*-lft-identity_binary64` `+-lft-identity_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` `/-rgt-identity_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r*_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	250	176
3	509	176
4	1098	176
5	2418	176
6	4309	176
7	4887	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify291.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

986×	`div-sub_binary64`
977×	`distribute-rgt-in_binary64`
929×	`distribute-lft-in_binary64`
814×	`sub-neg_binary64`
582×	`times-frac_binary64`
351×	`neg-mul-1_binary64`
338×	`unsub-neg_binary64`
335×	`associate-/l_binary64` `-commutative_binary64`
333×	`neg-sub0_binary64`
325×	`distribute-neg-frac_binary64`
303×	`distribute-rgt-neg-in_binary64`
280×	`distribute-rgt-neg-out_binary64`
266×	`distribute-lft-neg-in_binary64`
252×	`associate-/r*_binary64`
242×	`distribute-lft-neg-out_binary64`
212×	`associate--r+_binary64`
210×	`cancel-sign-sub-inv_binary64`
200×	`associate-/r/_binary64`
188×	`associate-/l/_binary64`
182×	`associate-*l/_binary64`
171×	`distribute-frac-neg_binary64`
139×	`associate-r_binary64`
130×	`remove-double-neg_binary64`
124×	`associate-*r/_binary64`
123×	`associate--r-_binary64`
108×	`associate-l_binary64`
106×	`+-commutative_binary64`
68×	`distribute-rgt-out--_binary64`
67×	`distribute-neg-in_binary64`
66×	`associate--l+_binary64` `associate-+l+_binary64`
63×	`associate-+r+_binary64`
58×	`div0_binary64`
51×	`+-rgt-identity_binary64`
48×	`distribute-neg-out_binary64` `associate-+r-_binary64`
45×	`distribute-rgt-out_binary64`
38×	`associate-+l-_binary64`
35×	`associate--l-_binary64`
34×	`--rgt-identity_binary64`
29×	`distribute-lft-out--_binary64`
26×	`mul0-rgt_binary64`
25×	`*-lft-identity_binary64`
23×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
21×	`mul0-lft_binary64`
20×	`distribute-lft-out_binary64`
17×	`cancel-sign-sub_binary64`
15×	`+-lft-identity_binary64`
12×	`remove-double-div_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	37	16
3	73	16
4	146	16
5	245	16
6	547	16
7	1326	16
8	2770	16
9	2936	16
10	3313	16
11	3370	16
12	3382	16
13	3443	16
14	3706	16
15	3616	16
16	3852	16
17	3844	16
18	3882	16
19	3882	16
20	3920	16
21	3920	16
22	5693	16

prune2.0ms (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

11.1b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
11.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite100.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 71

Calls

3 calls:

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

Compiler

Compiled 1259 to 314 computations (75.1% saved)

series242.0ms (2.9%)

Error

0.4b

Counts

3 → 78

Calls

3 calls:

103.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
70.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
28.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 2877 to 1886 computations (34.4% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

503×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
362×	`cancel-sign-sub-inv_binary64`
250×	`sub-neg_binary64`
138×	`associate-/l*_binary64`
119×	`div-sub_binary64`
117×	`associate-l_binary64`
107×	`associate-r_binary64`
104×	`associate--l+_binary64`
102×	`+-commutative_binary64`
91×	`times-frac_binary64`
90×	`*-commutative_binary64`
80×	`distribute-rgt-neg-in_binary64`
79×	`associate--r+_binary64`
78×	`distribute-neg-frac_binary64`
65×	`associate-+l+_binary64`
64×	`distribute-lft-neg-in_binary64`
59×	`associate-*l/_binary64`
53×	`distribute-neg-in_binary64`
52×	`neg-sub0_binary64`
51×	`associate-/r*_binary64`
49×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
48×	`neg-mul-1_binary64`
47×	`associate-*r/_binary64`
44×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
39×	`sqr-pow_binary64`
38×	`*-rgt-identity_binary64` `associate-/r/_binary64`
36×	`distribute-rgt-out_binary64`
35×	`unsub-neg_binary64`
31×	`associate-/l/_binary64`
24×	`*-lft-identity_binary64`
23×	`log-div_binary64` `cube-div_binary64`
20×	`/-rgt-identity_binary64`
17×	`cube-prod_binary64`
15×	`log-prod_binary64`
14×	`unswap-sqr_binary64` `distribute-rgt-out--_binary64`
11×	`exp-sum_binary64` `swap-sqr_binary64`
10×	`unpow3_binary64`
8×	`cube-mult_binary64` `difference-of-squares_binary64`
6×	`exp-diff_binary64`
4×	`log-rec_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
3×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-lft1-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-pow_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

149 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3023
1	643	2780
2	2411	2627
3	5065	2627

prune68.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Error

0.0b

Counts

106 → 6

Compiler

Compiled 1358 to 431 computations (68.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite140.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 1958 to 420 computations (78.5% saved)

series289.0ms (3.5%)

Error

0.0b

Counts

3 → 87

Calls

3 calls:

102.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
73.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
51.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 3608 to 2359 computations (34.6% saved)

simplify194.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

859×	`times-frac_binary64`
480×	`cancel-sign-sub-inv_binary64`
334×	`sub-neg_binary64`
184×	`div-sub_binary64`
142×	`associate--l+_binary64`
140×	`+-commutative_binary64`
138×	`associate-/l*_binary64`
134×	`associate-l_binary64`
132×	`associate-r_binary64`
116×	`associate--r+_binary64`
104×	`neg-sub0_binary64`
97×	`neg-mul-1_binary64`
96×	`*-commutative_binary64`
86×	`associate-+l+_binary64`
75×	`associate-*r/_binary64`
62×	`associate-/r*_binary64`
60×	`associate-+r+_binary64`
55×	`distribute-rgt-in_binary64`
51×	`unsub-neg_binary64` `distribute-lft-in_binary64`
49×	`associate-*l/_binary64`
46×	`*-rgt-identity_binary64`
41×	`associate-/l/_binary64`
36×	`sqr-pow_binary64`
32×	`*-lft-identity_binary64`
31×	`associate-/r/_binary64`
30×	`cube-prod_binary64`
25×	`distribute-neg-in_binary64`
23×	`log-prod_binary64`
22×	`unswap-sqr_binary64`
21×	`exp-prod_binary64`
19×	`unpow3_binary64`
18×	`exp-sum_binary64`
17×	`distribute-rgt-neg-in_binary64`
16×	`log-div_binary64` `/-rgt-identity_binary64`
13×	`distribute-neg-frac_binary64`
12×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
8×	`exp-diff_binary64`
7×	`cube-unmult_binary64` `mul-1-neg_binary64`
6×	`cube-mult_binary64`
5×	`difference-of-squares_binary64`
4×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-rgt-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-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`

Counts

200 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	4572
1	806	4305
2	2845	4266
3	4625	4254
4	4988	4254
5	4972	4254

prune78.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 1816 to 493 computations (72.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
4.1b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t)) (cbrt.f64 (-.f64 a t)))
6.1b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t))

rewrite193.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
25×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
19×	`add-cbrt-cube_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `associate-l_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`times-frac_binary64`
10×	`associate-/r/_binary64`
8×	`prod-exp_binary64` `div-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-/r*_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
5×	`associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`
4×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`
2×	`unswap-sqr_binary64` `sub-neg_binary64` `div-inv_binary64` `pow1/3_binary64`
1×	`pow-prod-down_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64`

Counts

4 → 122

Calls

4 calls:

21.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t)) (cbrt.f64 (-.f64 a t)))
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 3783 to 645 computations (83% saved)

series466.0ms (5.6%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

200.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t))
87.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (-.f64 z t)) (cbrt.f64 (-.f64 a t)))
45.0ms	(cbrt.f64 (-.f64 a t))
44.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 6782 to 4861 computations (28.3% saved)

simplify182.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-r_binary64`
326×	`associate-/l*_binary64`
313×	`associate-l_binary64`
261×	`times-frac_binary64`
165×	`associate-/r*_binary64`
153×	`associate-*l/_binary64`
132×	`associate--l+_binary64`
130×	`associate--r+_binary64`
127×	`*-commutative_binary64`
118×	`sub-neg_binary64`
106×	`associate-*r/_binary64`
91×	`associate-/l/_binary64`
83×	`cancel-sign-sub-inv_binary64`
70×	`+-commutative_binary64`
64×	`distribute-rgt-in_binary64`
62×	`distribute-lft-in_binary64`
56×	`associate-/r/_binary64`
54×	`sqr-pow_binary64`
48×	`distribute-neg-in_binary64`
47×	`neg-sub0_binary64`
42×	`log-div_binary64` `neg-mul-1_binary64`
34×	`distribute-rgt-neg-in_binary64`
32×	`associate-+r+_binary64`
28×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
15×	`distribute-neg-frac_binary64`
14×	`div-sub_binary64`
13×	`unpow1/3_binary64`
12×	`distribute-lft-neg-out_binary64`
10×	`mul-1-neg_binary64`
9×	`unswap-sqr_binary64` `distribute-rgt-neg-out_binary64`
7×	`cube-unmult_binary64`
6×	`exp-prod_binary64`
5×	`log-rec_binary64`
4×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
3×	`distribute-rgt-out_binary64`
2×	`rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_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` `pow-base-0_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` `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` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

206 → 157

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	6922
1	1339	6039
2	4941	6039
3	4997	6039

prune153.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	157	8	165

Error

0.0b

Counts

165 → 8

Compiler

Compiled 3970 to 1455 computations (63.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))))
0.4b	(/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t)))
11.8b	(/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))

rewrite739.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1183×	`times-frac_binary64`
809×	`*-un-lft-identity_binary64`
806×	`add-sqr-sqrt_binary64`
450×	`add-cube-cbrt_binary64`
178×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
109×	`associate-/r*_binary64`
34×	`div-inv_binary64`
32×	`add-exp-log_binary64`
27×	`associate-/l*_binary64`
20×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64`
11×	`associate-/r/_binary64`
10×	`cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
5×	`pow1_binary64`
3×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 620

Calls

4 calls:

86.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))))
28.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t)))
12.0ms	(/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))
6.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 13335 to 3731 computations (72% saved)

series321.0ms (3.9%)

Error

0.0b

Counts

4 → 99

Calls

4 calls:

104.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))))
70.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t)))
63.0ms	(/.f64 (/.f64 (-.f64 a t) y) (-.f64 z t))
33.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 3925 to 2639 computations (32.8% saved)

simplify507.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/r/_binary64`
587×	`associate-/l/_binary64`
226×	`associate-/l*_binary64`
220×	`associate-/r*_binary64`
174×	`distribute-rgt-in_binary64`
167×	`distribute-lft-in_binary64`
141×	`div-sub_binary64`
122×	`sub-neg_binary64`
107×	`times-frac_binary64`
45×	`+-commutative_binary64`
36×	`neg-sub0_binary64`
32×	`*-commutative_binary64`
30×	`neg-mul-1_binary64`
28×	`distribute-neg-frac_binary64`
26×	`log-div_binary64`
24×	`/-rgt-identity_binary64`
22×	`associate--l+_binary64`
19×	`sqr-pow_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
18×	`exp-prod_binary64`
17×	`remove-double-div_binary64`
14×	`log-prod_binary64`
13×	`associate-*r/_binary64` `associate--r+_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`distribute-rgt-neg-in_binary64`
10×	`mul-1-neg_binary64`
9×	`unpow3_binary64`
8×	`exp-diff_binary64`
7×	`log-rec_binary64`
6×	`cube-div_binary64` `-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate-l*_binary64`
5×	`cube-unmult_binary64` `cube-mult_binary64` `associate-r_binary64`
4×	`*-lft-identity_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `associate-*l/_binary64`
2×	`exp-sum_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-prod_binary64` `sub0-neg_binary64` `distribute-rgt-out--_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` `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-1-e_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

719 → 558

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	22050
1	1772	21325
2	4930	21325
3	4985	21325

prune280.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	556	2	558
Fresh	3	2	5
Picked	1	0	1
Done	1	1	2
Total	561	5	566

Error

0.0b

Counts

566 → 5

Compiler

Compiled 7551 to 1897 computations (74.9% saved)

regimes2.0s (23.9%)

Accuracy

Total 0.3b remaining (92.7%)

Threshold costs 0.3b (92.7%)

Compiler

Compiled 22811 to 17598 computations (22.9% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	93
1	38	93
2	43	93
3	45	93
4	46	93
5	45	93

end1.0ms (0%)

Compiler: Compiled 63 to 28 computations (55.6% saved)

sample888.0ms (10.7%)

Algorithm

1×

intervals

Results

306.0ms	7997×	body	128	valid
26.0ms	767×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 197 to 141 computations (28.4% saved)

Details

analyze998.0ms (12.1%)

sample23.0ms (0.3%)

simplify291.0ms (3.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite100.0ms (1.2%)

series242.0ms (2.9%)

simplify95.0ms (1.1%)

prune68.0ms (0.8%)

localize9.0ms (0.1%)

rewrite140.0ms (1.7%)

series289.0ms (3.5%)

simplify194.0ms (2.3%)

prune78.0ms (0.9%)

localize13.0ms (0.2%)

rewrite193.0ms (2.3%)

series466.0ms (5.6%)

simplify182.0ms (2.2%)

prune153.0ms (1.8%)

localize10.0ms (0.1%)

rewrite739.0ms (8.9%)

series321.0ms (3.9%)

simplify507.0ms (6.1%)

prune280.0ms (3.4%)

regimes2.0s (23.9%)

bsearch6.0ms (0.1%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample888.0ms (10.7%)

Profiling