Details

analyze2.7s (17.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

362×	`cancel-sign-sub-inv_binary64`
284×	`unsub-neg_binary64`
282×	`distribute-rgt-neg-in_binary64`
250×	`distribute-rgt-in_binary64`
237×	`sub-neg_binary64`
209×	`distribute-lft-in_binary64`
192×	`neg-mul-1_binary64`
188×	`distribute-lft-neg-in_binary64`
170×	`associate-r_binary64`
169×	`neg-sub0_binary64`
149×	`distribute-rgt-neg-out_binary64`
146×	`distribute-lft-neg-out_binary64`
134×	`associate--r+_binary64`
124×	`*-commutative_binary64`
109×	`associate-l_binary64`
94×	`+-commutative_binary64`
74×	`associate-+l-_binary64`
73×	`mul0-rgt_binary64` `mul0-lft_binary64`
68×	`distribute-neg-in_binary64`
67×	`remove-double-neg_binary64`
58×	`sub0-neg_binary64`
33×	`--rgt-identity_binary64`
28×	`*-lft-identity_binary64`
22×	`+-lft-identity_binary64` `cancel-sign-sub_binary64`
20×	`sin-neg_binary64` `associate--r-_binary64`
19×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
13×	`associate-+r-_binary64`
12×	`associate--l+_binary64`
11×	`cos-neg_binary64`
10×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`*-rgt-identity_binary64`
2×	`distribute-neg-out_binary64` `associate--l-_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` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	151	273
2	316	273
3	606	273
4	711	273
5	1003	273
6	1138	273
7	1521	273
8	1681	273
9	1761	273
10	1811	273
11	1816	273
12	1816	273
13	2112	273
14	1872	273
15	1872	273
16	1872	273
17	1713	273
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample212.0ms (1.3%)

Algorithm

1×

intervals

Results

153.0ms	175×	body	1024	valid
25.0ms	37×	body	512	valid
8.0ms	4×	body	2048	valid
5.0ms	29×	body	128	valid
4.0ms	11×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-neg-in_binary64`
56×	`sub-neg_binary64`
47×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
41×	`neg-mul-1_binary64`
35×	`neg-sub0_binary64`
34×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
28×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
25×	`associate-r_binary64`
23×	`*-commutative_binary64`
21×	`+-commutative_binary64`
18×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
16×	`associate-+l-_binary64`
14×	`sub0-neg_binary64`
13×	`associate-l_binary64`
12×	`remove-double-neg_binary64`
10×	`*-lft-identity_binary64`
8×	`--rgt-identity_binary64` `associate--r-_binary64`
6×	`associate-+l+_binary64`
4×	`*-rgt-identity_binary64`
3×	`sin-neg_binary64`
2×	`cos-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_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` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.2b	(cos.f64 (-.f64 lambda1 lambda2))
2.2b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite131.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

11×	`add-sqr-sqrt_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
4×	`sin-sum_binary64` `add-log-exp_binary64` `cos-sum_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
3×	`cos-diff_binary64`
2×	`sub-neg_binary64` `sin-cos-mult_binary64` `*-commutative_binary64`
1×	`sin-diff_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64` `unswap-sqr_binary64`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1938 to 357 computations (81.6% saved)

series217.0ms (1.4%)

Error

7.6b

Counts

4 → 52

Calls

4 calls:

85.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
28.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
24.0ms	(cos.f64 (-.f64 lambda1 lambda2))
21.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3479 to 1882 computations (45.9% saved)

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-neg-in_binary64`
506×	`distribute-lft-neg-in_binary64`
435×	`cancel-sign-sub-inv_binary64`
327×	`sub-neg_binary64`
324×	`associate-r_binary64`
322×	`neg-mul-1_binary64`
300×	`associate-l_binary64`
299×	`neg-sub0_binary64`
186×	`*-commutative_binary64`
135×	`distribute-rgt-in_binary64`
125×	`distribute-rgt-out--_binary64`
100×	`distribute-rgt-out_binary64`
88×	`+-commutative_binary64`
77×	`sqr-pow_binary64`
76×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
62×	`distribute-lft-out_binary64`
60×	`distribute-lft-out--_binary64`
58×	`distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
50×	`associate-+r-_binary64`
49×	`associate--l+_binary64`
41×	`associate-+l+_binary64`
40×	`cancel-sign-sub_binary64`
37×	`unswap-sqr_binary64`
35×	`*-rgt-identity_binary64`
34×	`cube-prod_binary64`
32×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
31×	`exp-prod_binary64`
30×	`*-lft-identity_binary64`
29×	`associate--r+_binary64`
28×	`log-prod_binary64` `remove-double-neg_binary64`
25×	`swap-sqr_binary64`
14×	`cube-unmult_binary64`
13×	`pow-sqr_binary64` `distribute-neg-in_binary64`
12×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
11×	`unpow3_binary64`
8×	`unpow1/2_binary64` `distribute-neg-out_binary64`
7×	`associate--l-_binary64`
6×	`sin-neg_binary64`
5×	`cos-neg_binary64` `pow-plus_binary64` `cube-mult_binary64` `fabs-mul_binary64` `distribute-lft-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
2×	`exp-sum_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

116 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	2093
1	575	1872
2	1768	1773
3	3105	1736
4	4816	1736
5	4987	1736

prune110.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Error

4.3b

Counts

79 → 9

Compiler

Compiled 1916 to 569 computations (70.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite160.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-r_binary64`
7×	`associate-l_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`cos-sum_binary64` `add-log-exp_binary64`
3×	`cos-diff_binary64` `cancel-sign-sub-inv_binary64` `*-commutative_binary64`
2×	`sin-cos-mult_binary64` `unswap-sqr_binary64`
1×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`

Counts

4 → 70

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2474 to 373 computations (84.9% saved)

series242.0ms (1.5%)

Error

4.0b

Counts

4 → 46

Calls

4 calls:

91.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
30.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
28.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
25.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3754 to 2102 computations (44% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-rgt-neg-in_binary64`
444×	`distribute-lft-neg-in_binary64`
383×	`neg-mul-1_binary64`
369×	`neg-sub0_binary64`
333×	`cancel-sign-sub-inv_binary64`
326×	`associate-r_binary64`
312×	`associate-l_binary64`
211×	`sub-neg_binary64`
175×	`*-commutative_binary64`
145×	`distribute-lft-neg-out_binary64`
132×	`distribute-lft-in_binary64`
111×	`unsub-neg_binary64`
105×	`distribute-rgt-out--_binary64`
104×	`distribute-rgt-in_binary64`
96×	`sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
72×	`distribute-rgt-out_binary64`
60×	`+-commutative_binary64`
52×	`cancel-sign-sub_binary64`
50×	`distribute-neg-out_binary64`
41×	`exp-prod_binary64` `*-rgt-identity_binary64`
39×	`unswap-sqr_binary64`
38×	`cube-prod_binary64`
37×	`log-prod_binary64` `distribute-lft-out_binary64`
36×	`*-lft-identity_binary64`
31×	`swap-sqr_binary64`
30×	`associate-+l-_binary64`
28×	`associate-+r-_binary64`
27×	`associate-+l+_binary64`
26×	`distribute-lft-out--_binary64`
24×	`+-rgt-identity_binary64`
21×	`remove-double-neg_binary64` `associate--l+_binary64`
20×	`associate-+r+_binary64`
18×	`sub0-neg_binary64` `pow-sqr_binary64`
16×	`cube-unmult_binary64`
15×	`rem-sqrt-square_binary64`
14×	`associate--r+_binary64`
11×	`unpow3_binary64` `unpow1/2_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`fabs-mul_binary64` `difference-of-squares_binary64`
5×	`cos-neg_binary64` `sin-neg_binary64` `cube-mult_binary64` `distribute-neg-in_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`pow-plus_binary64` `exp-sum_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

116 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1961
1	535	1744
2	1686	1666
3	2823	1638
4	4710	1638
5	4988	1638

prune123.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Error

0.0b

Counts

92 → 8

Compiler

Compiled 2317 to 537 computations (76.8% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite254.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-l_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`sin-cos-mult_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
3×	`sin-mult_binary64` `frac-times_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
2×	`cos-mult_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 3586 to 479 computations (86.6% saved)

series288.0ms (1.8%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

129.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
36.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
30.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
28.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))

Compiler

Compiled 4578 to 2306 computations (49.6% saved)

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

608×	`cancel-sign-sub-inv_binary64`
545×	`associate-r_binary64`
523×	`associate-l_binary64`
387×	`distribute-rgt-neg-in_binary64`
356×	`distribute-lft-neg-in_binary64`
287×	`neg-mul-1_binary64` `neg-sub0_binary64`
253×	`*-commutative_binary64`
182×	`sub-neg_binary64`
160×	`exp-prod_binary64`
114×	`distribute-rgt-out_binary64`
96×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
77×	`sqr-pow_binary64`
64×	`distribute-rgt-out--_binary64`
63×	`+-commutative_binary64`
57×	`*-lft-identity_binary64`
52×	`*-rgt-identity_binary64`
48×	`cube-prod_binary64`
46×	`log-prod_binary64`
35×	`unsub-neg_binary64`
26×	`distribute-lft-neg-out_binary64`
25×	`swap-sqr_binary64` `associate--l+_binary64`
17×	`unswap-sqr_binary64` `associate--r+_binary64`
16×	`unpow3_binary64`
12×	`cube-unmult_binary64` `distribute-neg-in_binary64`
10×	`cube-mult_binary64` `associate-+l+_binary64`
8×	`unpow1/2_binary64` `exp-sum_binary64`
7×	`distribute-rgt-neg-out_binary64`
4×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
2×	`distribute-rgt1-in_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `associate--l-_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_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` `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-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `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-lft1-in_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--r-_binary64`

Counts

129 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	2889
1	798	2537
2	2966	2483
3	4397	2483
4	5028	2483

prune185.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Error

0.0b

Counts

106 → 7

Compiler

Compiled 3473 to 675 computations (80.6% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))))
0.6b	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
0.6b	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
0.6b	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))

rewrite197.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`sin-cos-mult_binary64` `cbrt-div_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))))
6.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))

Compiler

Compiled 3563 to 350 computations (90.2% saved)

series281.0ms (1.8%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

73.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))))
61.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
56.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))
56.0ms	(cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))

Compiler

Compiled 4473 to 2211 computations (50.6% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

840×	`unswap-sqr_binary64`
514×	`associate-l_binary64`
416×	`associate-r_binary64`
377×	`log-prod_binary64`
279×	`distribute-rgt-neg-in_binary64`
277×	`distribute-lft-neg-in_binary64`
210×	`cancel-sign-sub-inv_binary64`
139×	`*-commutative_binary64`
93×	`sqr-pow_binary64`
89×	`exp-prod_binary64`
70×	`associate-+l+_binary64`
62×	`distribute-rgt-in_binary64`
58×	`distribute-lft-in_binary64`
44×	`neg-mul-1_binary64` `neg-sub0_binary64`
41×	`log-pow_binary64`
40×	`cube-prod_binary64` `sub-neg_binary64`
33×	`swap-sqr_binary64`
25×	`fabs-mul_binary64`
21×	`associate-/l*_binary64`
20×	`exp-sum_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
19×	`pow-plus_binary64`
18×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
17×	`*-lft-identity_binary64` `pow-sqr_binary64`
15×	`cube-unmult_binary64`
14×	`associate-/r*_binary64`
13×	`unpow1/3_binary64`
12×	`distribute-lft-out--_binary64`
11×	`rem-sqrt-square_binary64`
9×	`count-2_binary64` `+-commutative_binary64`
8×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
7×	`exp-to-pow_binary64` `distribute-rgt-neg-out_binary64`
6×	`associate-+r+_binary64`
5×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `fabs-sqr_binary64` `distribute-rgt1-in_binary64`
3×	`difference-of-squares_binary64`
2×	`unpow3_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64`
1×	`sin-neg_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `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-neg-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

96 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1578
1	206	1437
2	588	1262
3	1888	1210
4	4637	1210
5	5009	1210

prune118.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Error

0.0b

Counts

83 → 8

Compiler

Compiled 2819 to 359 computations (87.3% saved)

regimes2.7s (17.3%)

Accuracy

Total 0.1b remaining (49.1%)

Threshold costs 0.1b (49.1%)

Compiler

Compiled 51612 to 33373 computations (35.3% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
15×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64`
10×	`distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	44	63
2	62	63
3	80	63
4	96	63
5	118	63
6	128	63
7	134	63
8	136	63
9	136	63

end1.0ms (0%)

Compiler: Compiled 38 to 24 computations (36.8% saved)

sample7.2s (45.8%)

Algorithm

1×

intervals

Results

5.1s	5381×	body	1024	valid
738.0ms	1295×	body	512	valid
382.0ms	196×	body	2048	valid
136.0ms	377×	body	256	valid
127.0ms	751×	body	128	valid

Compiler

Compiled 390 to 267 computations (31.5% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze2.7s (17.1%)

sample212.0ms (1.3%)

simplify25.0ms (0.2%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite131.0ms (0.8%)

series217.0ms (1.4%)

simplify121.0ms (0.8%)

prune110.0ms (0.7%)

localize27.0ms (0.2%)

rewrite160.0ms (1%)

series242.0ms (1.5%)

simplify113.0ms (0.7%)

prune123.0ms (0.8%)

localize28.0ms (0.2%)

rewrite254.0ms (1.6%)

series288.0ms (1.8%)

simplify123.0ms (0.8%)

prune185.0ms (1.2%)

localize38.0ms (0.2%)

rewrite197.0ms (1.3%)

series281.0ms (1.8%)

simplify95.0ms (0.6%)

prune118.0ms (0.7%)

regimes2.7s (17.3%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end1.0ms (0%)

sample7.2s (45.8%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39