Details

analyze303.0ms (9.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1534×	`div-sub_binary64`
888×	`distribute-rgt-in_binary64`
690×	`times-frac_binary64`
535×	`sub-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
383×	`associate-/r*_binary64`
382×	`associate-/l*_binary64`
319×	`distribute-lft-neg-in_binary64`
304×	`*-commutative_binary64`
275×	`distribute-neg-frac_binary64`
270×	`neg-mul-1_binary64`
260×	`neg-sub0_binary64`
184×	`associate--r+_binary64`
182×	`unsub-neg_binary64`
164×	`associate-/r/_binary64`
158×	`cancel-sign-sub-inv_binary64`
137×	`associate--r-_binary64`
131×	`+-commutative_binary64`
124×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
118×	`distribute-rgt-neg-out_binary64`
111×	`remove-double-neg_binary64`
95×	`distribute-lft-neg-out_binary64`
93×	`distribute-neg-in_binary64`
88×	`associate-l_binary64`
87×	`associate-+l-_binary64`
80×	`distribute-lft-in_binary64` `associate-*l/_binary64`
75×	`associate-r_binary64`
73×	`associate--l+_binary64`
67×	`associate-+l+_binary64`
66×	`associate--l-_binary64` `associate-+r-_binary64`
49×	`associate-+r+_binary64`
39×	`sub0-neg_binary64` `+-rgt-identity_binary64`
38×	`+-lft-identity_binary64`
37×	`*-lft-identity_binary64`
36×	`associate-*r/_binary64`
34×	`cancel-sign-sub_binary64`
30×	`*-rgt-identity_binary64`
26×	`/-rgt-identity_binary64`
24×	`--rgt-identity_binary64`
22×	`distribute-neg-out_binary64`
20×	`distribute-lft-out_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
15×	`distribute-lft-out--_binary64`
12×	`div0_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`remove-double-div_binary64`
5×	`distribute-rgt-out_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`distribute-lft1-in_binary64`
1×	`1-exp_binary64` `*-inverses_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify290.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

1534×	`div-sub_binary64`
888×	`distribute-rgt-in_binary64`
690×	`times-frac_binary64`
535×	`sub-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
383×	`associate-/r*_binary64`
382×	`associate-/l*_binary64`
319×	`distribute-lft-neg-in_binary64`
304×	`*-commutative_binary64`
275×	`distribute-neg-frac_binary64`
270×	`neg-mul-1_binary64`
260×	`neg-sub0_binary64`
184×	`associate--r+_binary64`
182×	`unsub-neg_binary64`
164×	`associate-/r/_binary64`
158×	`cancel-sign-sub-inv_binary64`
137×	`associate--r-_binary64`
131×	`+-commutative_binary64`
124×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
118×	`distribute-rgt-neg-out_binary64`
111×	`remove-double-neg_binary64`
95×	`distribute-lft-neg-out_binary64`
93×	`distribute-neg-in_binary64`
88×	`associate-l_binary64`
87×	`associate-+l-_binary64`
80×	`distribute-lft-in_binary64` `associate-*l/_binary64`
75×	`associate-r_binary64`
73×	`associate--l+_binary64`
67×	`associate-+l+_binary64`
66×	`associate--l-_binary64` `associate-+r-_binary64`
49×	`associate-+r+_binary64`
39×	`sub0-neg_binary64` `+-rgt-identity_binary64`
38×	`+-lft-identity_binary64`
37×	`*-lft-identity_binary64`
36×	`associate-*r/_binary64`
34×	`cancel-sign-sub_binary64`
30×	`*-rgt-identity_binary64`
26×	`/-rgt-identity_binary64`
24×	`--rgt-identity_binary64`
22×	`distribute-neg-out_binary64`
20×	`distribute-lft-out_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
15×	`distribute-lft-out--_binary64`
12×	`div0_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`remove-double-div_binary64`
5×	`distribute-rgt-out_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`distribute-lft1-in_binary64`
1×	`1-exp_binary64` `*-inverses_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

1 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.3b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite109.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
12.0ms	(*.f64 6 (-.f64 x 1))
5.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1532 to 1141 computations (25.5% saved)

series29.0ms (0.9%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

9.0ms	(*.f64 6 (-.f64 x 1))
7.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 272 to 237 computations (12.9% saved)

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

430×	`distribute-rgt-in_binary64`
383×	`distribute-lft-in_binary64`
372×	`times-frac_binary64`
343×	`associate-l_binary64`
333×	`div-sub_binary64`
309×	`associate-/l*_binary64`
269×	`associate-r_binary64`
141×	`associate-+l+_binary64`
117×	`associate-+r+_binary64`
112×	`associate-/l/_binary64` `associate-/r*_binary64`
102×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
71×	`associate-/r/_binary64`
54×	`*-commutative_binary64`
51×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
35×	`distribute-rgt-neg-in_binary64`
33×	`exp-prod_binary64`
27×	`cube-prod_binary64` `associate--r+_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`distribute-rgt-out_binary64`
24×	`sqr-pow_binary64`
22×	`exp-sum_binary64` `+-commutative_binary64`
21×	`neg-mul-1_binary64`
20×	`log-div_binary64` `neg-sub0_binary64`
19×	`distribute-neg-in_binary64` `associate--l+_binary64`
18×	`cube-div_binary64` `associate-+r-_binary64`
14×	`log-prod_binary64`
13×	`associate-+l-_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`*-rgt-identity_binary64`
9×	`unpow3_binary64` `unsub-neg_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
8×	`cube-mult_binary64` `*-lft-identity_binary64`
7×	`cube-unmult_binary64`
6×	`exp-diff_binary64` `mul-1-neg_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
5×	`prod-exp_binary64`
4×	`log-rec_binary64` `/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
3×	`associate--l-_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`

Counts

82 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1349
1	330	1153
2	1044	1147
3	4412	1147
4	5173	1147

prune42.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Error

0.0b

Counts

54 → 3

Compiler

Compiled 798 to 593 computations (25.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.0b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite155.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 107

Calls

3 calls:

16.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
10.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2481 to 1808 computations (27.1% saved)

series27.0ms (0.9%)

Error

0.0b

Counts

3 → 9

Calls

3 calls:

9.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
7.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 176 to 168 computations (4.5% saved)

simplify148.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

596×	`div-sub_binary64`
387×	`distribute-rgt-in_binary64`
346×	`distribute-lft-in_binary64`
321×	`distribute-rgt-out_binary64`
295×	`associate-l_binary64`
223×	`associate-r_binary64`
186×	`associate-/l*_binary64`
184×	`associate-*l/_binary64`
171×	`associate-*r/_binary64`
147×	`times-frac_binary64`
139×	`cancel-sign-sub-inv_binary64`
135×	`associate-+l+_binary64` `*-commutative_binary64`
126×	`sub-neg_binary64`
114×	`associate-/r*_binary64`
110×	`associate-+r+_binary64`
98×	`associate-/l/_binary64`
71×	`associate-/r/_binary64`
56×	`distribute-rgt-neg-in_binary64`
51×	`distribute-neg-in_binary64`
50×	`+-commutative_binary64`
49×	`distribute-rgt-out--_binary64`
45×	`sqr-pow_binary64`
43×	`distribute-lft-neg-out_binary64`
42×	`exp-prod_binary64`
40×	`distribute-lft-neg-in_binary64`
35×	`unsub-neg_binary64`
34×	`distribute-rgt-neg-out_binary64`
33×	`exp-sum_binary64` `neg-sub0_binary64` `unswap-sqr_binary64`
31×	`*-rgt-identity_binary64`
28×	`cube-div_binary64` `cube-prod_binary64` `*-lft-identity_binary64`
26×	`neg-mul-1_binary64` `associate--r+_binary64`
25×	`log-div_binary64`
23×	`distribute-neg-frac_binary64`
20×	`/-rgt-identity_binary64` `associate-+r-_binary64`
19×	`unpow3_binary64` `distribute-rgt1-in_binary64`
16×	`cube-mult_binary64` `swap-sqr_binary64` `associate--l+_binary64`
15×	`associate-+l-_binary64`
14×	`log-prod_binary64` `mul-1-neg_binary64`
11×	`+-rgt-identity_binary64`
9×	`cube-unmult_binary64` `distribute-lft1-in_binary64`
7×	`prod-exp_binary64` `exp-diff_binary64`
6×	`log-rec_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
4×	`pow-plus_binary64`
3×	`unpow1/2_binary64` `difference-of-squares_binary64`
2×	`exp-neg_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

116 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	3051
1	355	2807
2	1075	2799
3	3509	2799
4	4693	2799
5	5682	2799

prune90.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 1949 to 1422 computations (27% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (+.f64 -1 x))
0.3b	(/.f64 (.f64 6 (+.f64 -1 x)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite93.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 61

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (+.f64 -1 x)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
6.0ms	(*.f64 6 (+.f64 -1 x))
5.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1360 to 1007 computations (26% saved)

series29.0ms (0.9%)

Error

Counts

3 → 12

Calls

3 calls:

9.0ms	(*.f64 6 (+.f64 -1 x))
8.0ms	(/.f64 (.f64 6 (+.f64 -1 x)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 272 to 237 computations (12.9% saved)

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

529×	`distribute-rgt-in_binary64`
480×	`distribute-lft-in_binary64`
445×	`associate-l_binary64`
360×	`times-frac_binary64`
356×	`associate-r_binary64`
296×	`associate-/l*_binary64`
291×	`div-sub_binary64`
134×	`associate-*l/_binary64`
112×	`associate-/l/_binary64`
104×	`associate-/r_binary64` `associate-r/_binary64`
66×	`associate-/r/_binary64`
62×	`cancel-sign-sub-inv_binary64`
53×	`*-commutative_binary64`
49×	`exp-prod_binary64`
44×	`distribute-lft-neg-out_binary64`
40×	`sub-neg_binary64`
39×	`cube-prod_binary64`
38×	`distribute-rgt-neg-out_binary64`
35×	`distribute-rgt-neg-in_binary64`
27×	`distribute-lft-neg-in_binary64`
24×	`exp-sum_binary64`
21×	`sqr-pow_binary64`
20×	`neg-sub0_binary64` `distribute-neg-in_binary64`
19×	`log-div_binary64`
18×	`unsub-neg_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
17×	`log-prod_binary64`
16×	`neg-mul-1_binary64`
15×	`cube-div_binary64`
12×	`associate-+l+_binary64`
11×	`*-rgt-identity_binary64`
10×	`unpow3_binary64` `exp-diff_binary64` `distribute-rgt-out--_binary64`
9×	`mul-1-neg_binary64`
8×	`cube-unmult_binary64` `cube-mult_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate--l+_binary64` `associate--r+_binary64`
5×	`sqr-neg_binary64` `associate--r-_binary64` `associate-+r+_binary64`
3×	`log-rec_binary64` `cube-neg_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_binary64`
2×	`pow-plus_binary64` `exp-neg_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

73 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1292
1	332	1096
2	1049	1090
3	4195	1090
4	4977	1090

prune41.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 838 to 624 computations (25.5% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
0.1b	(.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
0.2b	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))
13.3b	(/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16)))

rewrite249.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
11×	`pow1_binary64`
9×	`associate-*r/_binary64`
8×	`associate--l+_binary64`
7×	`distribute-lft-out_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
6×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-r*_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64`

Counts

4 → 133

Calls

4 calls:

22.0ms	(.f64 6 (.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
21.0ms	(.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
13.0ms	(/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16)))
9.0ms	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))

Compiler

Compiled 5245 to 3920 computations (25.3% saved)

series73.0ms (2.4%)

Error

Counts

4 → 27

Calls

4 calls:

18.0ms	(/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16)))
17.0ms	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))
8.0ms	(.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
8.0ms	(.f64 6 (.f64 (/.f64 (+.f64 -1 x) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

Compiler

Compiled 934 to 789 computations (15.5% saved)

simplify182.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac_binary64`
424×	`exp-prod_binary64`
206×	`associate-l_binary64`
201×	`associate-r_binary64`
176×	`distribute-rgt-in_binary64`
156×	`distribute-lft-in_binary64`
151×	`*-commutative_binary64`
148×	`distribute-lft-neg-out_binary64`
145×	`cancel-sign-sub-inv_binary64`
143×	`log-prod_binary64`
131×	`distribute-rgt-neg-out_binary64`
107×	`distribute-rgt-neg-in_binary64`
92×	`associate-*l/_binary64`
91×	`distribute-lft-neg-in_binary64`
74×	`associate-*r/_binary64`
63×	`sub-neg_binary64`
62×	`div-sub_binary64`
56×	`associate-/l*_binary64`
53×	`+-commutative_binary64`
51×	`neg-sub0_binary64`
50×	`distribute-neg-in_binary64`
47×	`neg-mul-1_binary64`
42×	`unsub-neg_binary64` `sqr-pow_binary64`
37×	`exp-sum_binary64` `associate-+l+_binary64`
35×	`associate-+r+_binary64`
34×	`cube-prod_binary64`
32×	`swap-sqr_binary64`
26×	`*-rgt-identity_binary64`
24×	`unswap-sqr_binary64`
21×	`associate-/r*_binary64`
20×	`unpow3_binary64`
19×	`*-lft-identity_binary64`
18×	`log-div_binary64`
15×	`associate-/l/_binary64`
12×	`distribute-neg-frac_binary64`
11×	`associate-/r/_binary64`
10×	`associate--l+_binary64`
9×	`mul-1-neg_binary64` `difference-of-squares_binary64`
8×	`associate--r+_binary64`
7×	`exp-diff_binary64` `cube-unmult_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
6×	`cube-mult_binary64`
5×	`cube-div_binary64` `/-rgt-identity_binary64`
4×	`pow-plus_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
3×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `+-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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

160 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	6142
1	664	4904
2	2465	4874
3	4687	4851
4	5265	4851

prune141.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	138	3	141

Error

Counts

141 → 3

Compiler

Compiled 3409 to 2599 computations (23.8% saved)

regimes232.0ms (7.5%)

Accuracy

Total 0.0b remaining (63.4%)

Threshold costs 0.0b (63.4%)

Compiler

Compiled 3475 to 2903 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_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	12	21
1	21	21
2	22	21
3	20	21

end1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample624.0ms (20.2%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 97 to 83 computations (14.4% saved)

Details

analyze303.0ms (9.8%)

sample17.0ms (0.5%)

simplify290.0ms (9.4%)

prune1.0ms (0%)

localize9.0ms (0.3%)

rewrite109.0ms (3.5%)

series29.0ms (0.9%)

simplify82.0ms (2.7%)

prune42.0ms (1.3%)

localize8.0ms (0.3%)

rewrite155.0ms (5%)

series27.0ms (0.9%)

simplify148.0ms (4.8%)

prune90.0ms (2.9%)

localize9.0ms (0.3%)

rewrite93.0ms (3%)

series29.0ms (0.9%)

simplify80.0ms (2.6%)

prune41.0ms (1.3%)

localize16.0ms (0.5%)

rewrite249.0ms (8.1%)

series73.0ms (2.4%)

simplify182.0ms (5.9%)

prune141.0ms (4.6%)

regimes232.0ms (7.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample624.0ms (20.2%)

Profiling