Details

analyze2.7s (13.4%)

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` `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)

sample216.0ms (1.1%)

Algorithm

1×

intervals

Results

154.0ms	172×	body	1024	valid
28.0ms	40×	body	512	valid
8.0ms	5×	body	2048	valid
5.0ms	14×	body	256	valid
4.0ms	25×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify25.0ms (0.1%)

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` `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

14.4b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize22.0ms (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)))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))
3.3b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite144.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

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:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1938 to 357 computations (81.6% saved)

series230.0ms (1.1%)

Error

10.7b

Counts

4 → 54

Calls

4 calls:

87.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
29.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
26.0ms	(sin.f64 (-.f64 lambda1 lambda2))
23.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3610 to 1931 computations (46.5% saved)

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

574×	`distribute-rgt-neg-in_binary64`
553×	`cancel-sign-sub-inv_binary64`
510×	`sub-neg_binary64`
454×	`neg-mul-1_binary64`
424×	`neg-sub0_binary64`
323×	`associate-r_binary64`
298×	`associate-l_binary64`
279×	`unsub-neg_binary64`
262×	`distribute-lft-neg-in_binary64`
189×	`*-commutative_binary64`
170×	`distribute-lft-neg-out_binary64`
119×	`distribute-rgt-neg-out_binary64`
102×	`+-commutative_binary64`
84×	`sqr-pow_binary64`
73×	`cancel-sign-sub_binary64`
68×	`associate-+l-_binary64`
62×	`associate--l+_binary64`
56×	`distribute-neg-out_binary64`
55×	`associate-+r-_binary64`
50×	`associate-+l+_binary64`
49×	`distribute-rgt-out--_binary64`
44×	`distribute-rgt-out_binary64`
39×	`associate-+r+_binary64`
38×	`associate--r+_binary64`
37×	`+-rgt-identity_binary64`
34×	`cube-prod_binary64` `sub0-neg_binary64`
33×	`*-rgt-identity_binary64`
31×	`exp-prod_binary64`
29×	`unswap-sqr_binary64`
28×	`log-prod_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64`
25×	`swap-sqr_binary64`
17×	`distribute-rgt-in_binary64`
13×	`pow-sqr_binary64` `distribute-neg-in_binary64`
12×	`rem-sqrt-square_binary64`
11×	`cube-unmult_binary64`
10×	`unpow3_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
8×	`unpow1/2_binary64` `associate--l-_binary64`
6×	`sin-neg_binary64`
5×	`cos-neg_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64` `distribute-lft-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64`
2×	`pow-plus_binary64` `exp-sum_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_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` `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` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

118 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	234	2235
1	606	2038
2	1854	1899
3	3345	1897
4	4471	1891
5	5083	1891

prune124.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	68	12	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	12	81

Error

7.2b

Counts

81 → 12

Compiler

Compiled 2136 to 662 computations (69% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite159.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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` `associate-l/_binary64` `-commutative_binary64`
2×	`sin-cos-mult_binary64` `unswap-sqr_binary64`
1×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2699 to 370 computations (86.3% saved)

series371.0ms (1.8%)

Error

6.9b

Counts

4 → 62

Calls

4 calls:

97.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
87.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
38.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
28.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5272 to 2797 computations (46.9% saved)

simplify198.0ms (1%)

Algorithm

1×	egg-herbie

Rules

871×	`cancel-sign-sub-inv_binary64`
468×	`associate-r_binary64`
430×	`associate-l_binary64`
410×	`distribute-rgt-neg-in_binary64`
360×	`distribute-lft-neg-in_binary64`
313×	`neg-mul-1_binary64`
312×	`neg-sub0_binary64`
268×	`*-commutative_binary64`
240×	`sub-neg_binary64`
133×	`sqr-pow_binary64`
131×	`unsub-neg_binary64`
100×	`+-commutative_binary64`
75×	`exp-prod_binary64`
66×	`distribute-lft-neg-out_binary64`
64×	`associate--l+_binary64`
60×	`cube-prod_binary64`
55×	`unswap-sqr_binary64`
50×	`associate--r+_binary64`
46×	`distribute-neg-in_binary64`
42×	`*-rgt-identity_binary64`
38×	`log-prod_binary64`
35×	`distribute-rgt-neg-out_binary64`
34×	`*-lft-identity_binary64`
33×	`associate-+l+_binary64`
31×	`swap-sqr_binary64`
26×	`unpow3_binary64`
22×	`remove-double-neg_binary64`
19×	`associate-+r+_binary64`
18×	`pow-sqr_binary64`
15×	`cube-unmult_binary64`
14×	`difference-of-squares_binary64`
13×	`rem-sqrt-square_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
12×	`exp-sum_binary64` `cube-mult_binary64`
10×	`unpow1/2_binary64`
8×	`exp-diff_binary64` `distribute-rgt-out_binary64`
5×	`sin-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64`
4×	`cos-neg_binary64` `pow-plus_binary64` `exp-neg_binary64` `cube-neg_binary64` `times-frac_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64`
2×	`distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `+-rgt-identity_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` `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` `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` `sqr-abs_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-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--r-_binary64` `associate-+l-_binary64`

Counts

134 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	3298
1	854	2938
2	2827	2936
3	4077	2936
4	4939	2936
5	4995	2936
6	4958	2936

prune173.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	9	100
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	102	10	112

Error

0.1b

Counts

112 → 10

Compiler

Compiled 3319 to 767 computations (76.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite232.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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-l/_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` `flip3--_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))

Compiler

Compiled 3825 to 476 computations (87.6% saved)

series410.0ms (2%)

Error

0.1b

Counts

4 → 60

Calls

4 calls:

149.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
89.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
35.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
31.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 6358 to 3046 computations (52.1% saved)

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

769×	`associate-r_binary64`
690×	`associate-l_binary64`
362×	`*-commutative_binary64`
249×	`sub-neg_binary64`
196×	`exp-prod_binary64`
145×	`cancel-sign-sub-inv_binary64`
141×	`+-commutative_binary64`
106×	`distribute-rgt-in_binary64`
104×	`neg-sub0_binary64`
103×	`neg-mul-1_binary64`
102×	`distribute-lft-in_binary64`
95×	`associate--l+_binary64`
77×	`sqr-pow_binary64`
74×	`associate-+l+_binary64`
72×	`associate--r+_binary64`
60×	`associate-+r+_binary64`
52×	`-rgt-identity_binary64` `-lft-identity_binary64`
50×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
42×	`log-prod_binary64`
41×	`distribute-lft-neg-in_binary64`
37×	`cube-prod_binary64`
26×	`distribute-neg-in_binary64`
24×	`swap-sqr_binary64` `distribute-rgt-out_binary64`
17×	`unpow3_binary64`
14×	`exp-sum_binary64`
10×	`cube-mult_binary64`
8×	`distribute-lft-neg-out_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`exp-diff_binary64` `pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64`
2×	`distribute-lft1-in_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-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--r-_binary64`

Counts

145 → 116

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	389	4471
1	1148	3888
2	4462	3888
3	4878	3888
4	5000	3888
5	4972	3888

prune217.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Error

0.1b

Counts

126 → 9

Compiler

Compiled 4790 to 944 computations (80.3% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.3b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
0.3b	(.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
0.4b	(.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))

rewrite611.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

87×	`pow1_binary64`
54×	`associate-*r/_binary64`
42×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cos-mult_binary64` `sin-mult_binary64`
37×	`pow-prod-down_binary64`
22×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*l/_binary64`
19×	`frac-sub_binary64`
18×	`frac-times_binary64`
16×	`associate-/l/_binary64`
11×	`sub-div_binary64`
8×	`pow-prod-up_binary64` `pow-sqr_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-r_binary64`
4×	`pow-plus_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
3×	`associate-l_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `associate-/r_binary64`
2×	`pow2_binary64` `swap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
1×	`difference-of-squares_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 156

Calls

4 calls:

24.0ms	(/.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
19.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
9.0ms	(.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
9.0ms	(.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))

Compiler

Compiled 10235 to 1072 computations (89.5% saved)

series790.0ms (3.9%)

Error

0.1b

Counts

4 → 62

Calls

4 calls:

335.0ms	(/.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
232.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
46.0ms	(.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
40.0ms	(.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

Compiler

Compiled 10750 to 5216 computations (51.5% saved)

simplify248.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

496×	`*-commutative_binary64`
301×	`associate-/l*_binary64`
154×	`cancel-sign-sub-inv_binary64`
142×	`associate-r_binary64`
124×	`associate--l+_binary64`
123×	`associate-+l+_binary64`
121×	`sub-neg_binary64`
109×	`associate--r+_binary64`
104×	`associate-*l/_binary64`
95×	`associate-+r+_binary64`
91×	`times-frac_binary64`
90×	`associate-/r*_binary64`
89×	`distribute-rgt-in_binary64`
88×	`distribute-lft-in_binary64`
87×	`associate-*r/_binary64`
79×	`distribute-rgt-neg-in_binary64`
72×	`associate-l_binary64` `+-commutative_binary64`
67×	`distribute-lft-neg-in_binary64`
55×	`exp-prod_binary64`
53×	`neg-mul-1_binary64` `neg-sub0_binary64`
52×	`log-div_binary64`
51×	`log-prod_binary64`
49×	`distribute-neg-in_binary64`
44×	`swap-sqr_binary64`
42×	`sqr-pow_binary64` `associate-/r/_binary64`
39×	`cube-div_binary64` `associate-/l/_binary64`
34×	`unswap-sqr_binary64`
28×	`distribute-rgt-out_binary64`
27×	`div-sub_binary64`
19×	`unpow3_binary64`
16×	`cube-prod_binary64`
14×	`distribute-lft-neg-out_binary64`
11×	`cube-mult_binary64`
9×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
8×	`log-pow_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64`
6×	`pow-plus_binary64`
5×	`log-rec_binary64` `exp-sum_binary64`
4×	`distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--r-_binary64`
3×	`exp-diff_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`cos-sin-sum_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `log-E_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `*-lft-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` `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-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

218 → 201

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	10359
1	1520	9233
2	4762	9233
3	4981	9233

prune476.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	199	11	210

Error

0.1b

Counts

210 → 11

Compiler

Compiled 9426 to 2329 computations (75.3% saved)

regimes5.1s (25.6%)

Accuracy

Total 0.1b remaining (61.9%)

Threshold costs 0.1b (61.9%)

Compiler

Compiled 101157 to 60184 computations (40.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
11×	`sub-neg_binary64` `+-commutative_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
5×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-out_binary64`
2×	`distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	106
1	58	106
2	82	106
3	96	106
4	104	106
5	105	106
6	102	106

end1.0ms (0%)

Compiler: Compiled 64 to 30 computations (53.1% saved)

sample7.1s (35.5%)

Algorithm

1×

intervals

Results

4.8s	5357×	body	1024	valid
760.0ms	1335×	body	512	valid
316.0ms	158×	body	2048	valid
132.0ms	387×	body	256	valid
130.0ms	763×	body	128	valid

Compiler

Compiled 734 to 435 computations (40.7% 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 (13.4%)

sample216.0ms (1.1%)

simplify25.0ms (0.1%)

prune3.0ms (0%)

localize22.0ms (0.1%)

rewrite144.0ms (0.7%)

series230.0ms (1.1%)

simplify132.0ms (0.7%)

prune124.0ms (0.6%)

localize29.0ms (0.1%)

rewrite159.0ms (0.8%)

series371.0ms (1.8%)

simplify198.0ms (1%)

prune173.0ms (0.9%)

localize36.0ms (0.2%)

rewrite232.0ms (1.2%)

series410.0ms (2%)

simplify205.0ms (1%)

prune217.0ms (1.1%)

localize43.0ms (0.2%)

rewrite611.0ms (3%)

series790.0ms (3.9%)

simplify248.0ms (1.2%)

prune476.0ms (2.4%)

regimes5.1s (25.6%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end1.0ms (0%)

sample7.1s (35.5%)

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