Details

analyze2.8s (16.6%)

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)

sample223.0ms (1.3%)

Algorithm

1×

intervals

Results

167.0ms	173×	body	1024	valid
22.0ms	40×	body	512	valid
11.0ms	6×	body	2048	valid
5.0ms	29×	body	128	valid
3.0ms	8×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify24.0ms (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

15.1b

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 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.6b	(sin.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite146.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

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×	`cos-sum_binary64` `add-log-exp_binary64` `sin-sum_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
3×	`cos-diff_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`sin-diff_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sin-cos-mult_binary64` `associate-*l/_binary64` `unswap-sqr_binary64`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 1908 to 347 computations (81.8% saved)

series225.0ms (1.3%)

Error

11.7b

Counts

4 → 53

Calls

4 calls:

87.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
30.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
23.0ms	(cos.f64 (-.f64 lambda1 lambda2))
22.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3542 to 1894 computations (46.5% saved)

simplify155.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-neg-in_binary64`
503×	`cancel-sign-sub-inv_binary64`
386×	`neg-mul-1_binary64`
372×	`sub-neg_binary64`
357×	`neg-sub0_binary64`
331×	`associate-r_binary64`
324×	`associate-l_binary64`
297×	`distribute-lft-neg-in_binary64`
206×	`*-commutative_binary64`
101×	`sqr-pow_binary64`
100×	`+-commutative_binary64`
83×	`unsub-neg_binary64`
77×	`distribute-lft-neg-out_binary64`
67×	`unswap-sqr_binary64`
64×	`associate-+l-_binary64`
60×	`distribute-rgt-out--_binary64`
58×	`distribute-rgt-neg-out_binary64`
57×	`associate--l+_binary64`
56×	`distribute-rgt-out_binary64`
55×	`associate-+r-_binary64`
48×	`associate-+l+_binary64`
44×	`cube-prod_binary64`
42×	`cancel-sign-sub_binary64`
37×	`exp-prod_binary64`
36×	`associate-+r+_binary64`
35×	`associate--r+_binary64`
34×	`sub0-neg_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64`
33×	`log-prod_binary64`
29×	`*-rgt-identity_binary64`
28×	`unpow3_binary64` `remove-double-neg_binary64`
25×	`*-lft-identity_binary64`
22×	`cube-unmult_binary64`
19×	`distribute-rgt-in_binary64`
17×	`pow-sqr_binary64` `distribute-neg-in_binary64`
12×	`rem-sqrt-square_binary64`
9×	`unpow1/2_binary64` `distribute-lft-out--_binary64`
8×	`pow-plus_binary64` `distribute-neg-out_binary64`
7×	`sin-neg_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
6×	`cube-mult_binary64` `difference-of-squares_binary64`
5×	`cos-neg_binary64` `distribute-lft-in_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`exp-sum_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_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` `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-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

116 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	2156
1	644	1912
2	1946	1810
3	3528	1810
4	4720	1810
5	4994	1810
6	4962	1810

prune126.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	62	16	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	16	79

Error

7.8b

Counts

79 → 16

Compiler

Compiled 2186 to 710 computations (67.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite172.0ms (1%)

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` `*-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:

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

Compiler

Compiled 2474 to 373 computations (84.9% saved)

series261.0ms (1.6%)

Error

7.4b

Counts

4 → 49

Calls

4 calls:

90.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
33.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
32.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
27.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4074 to 2264 computations (44.4% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

593×	`distribute-rgt-neg-in_binary64`
508×	`distribute-lft-neg-in_binary64`
369×	`cancel-sign-sub-inv_binary64`
356×	`associate-r_binary64`
336×	`associate-l_binary64`
301×	`neg-mul-1_binary64`
280×	`neg-sub0_binary64`
257×	`sub-neg_binary64`
192×	`*-commutative_binary64`
128×	`distribute-rgt-out--_binary64`
106×	`distribute-rgt-out_binary64`
99×	`sqr-pow_binary64`
96×	`distribute-rgt-in_binary64`
93×	`unsub-neg_binary64`
74×	`+-commutative_binary64`
60×	`distribute-lft-neg-out_binary64`
58×	`distribute-lft-out_binary64`
57×	`distribute-lft-out--_binary64`
47×	`unswap-sqr_binary64`
43×	`*-rgt-identity_binary64`
41×	`exp-prod_binary64`
38×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
37×	`log-prod_binary64`
35×	`cube-prod_binary64`
33×	`associate-+l+_binary64`
32×	`associate--l+_binary64`
31×	`swap-sqr_binary64`
28×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64`
27×	`associate-+r+_binary64`
23×	`sub0-neg_binary64`
21×	`remove-double-neg_binary64`
18×	`pow-sqr_binary64`
17×	`associate--r+_binary64`
15×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
12×	`unpow3_binary64` `distribute-rgt1-in_binary64`
11×	`unpow1/2_binary64`
9×	`distribute-neg-in_binary64`
6×	`difference-of-squares_binary64`
5×	`cos-neg_binary64` `sin-neg_binary64` `pow-plus_binary64` `cube-mult_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-in_binary64`
3×	`exp-sum_binary64` `distribute-lft1-in_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `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-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` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

119 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2070
1	588	1827
2	1840	1730
3	3095	1706
4	4804	1706
5	4969	1706

prune160.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	11	4	15
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Error

0.1b

Counts

102 → 9

Compiler

Compiled 2462 to 588 computations (76.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite219.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
10×	`associate-l_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`associate-r_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`sin-mult_binary64` `associate-*r/_binary64`

Counts

4 → 77

Calls

4 calls:

8.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
6.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 3418 to 421 computations (87.7% saved)

series297.0ms (1.8%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

102.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
62.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
29.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
28.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 5275 to 2474 computations (53.1% saved)

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

578×	`distribute-rgt-neg-in_binary64`
488×	`associate-r_binary64`
408×	`associate-l_binary64`
328×	`cancel-sign-sub-inv_binary64`
301×	`neg-mul-1_binary64`
275×	`distribute-lft-neg-in_binary64`
215×	`*-commutative_binary64`
208×	`sub-neg_binary64`
207×	`neg-sub0_binary64`
169×	`sqr-pow_binary64`
101×	`exp-prod_binary64`
95×	`log-prod_binary64`
91×	`swap-sqr_binary64`
89×	`cube-prod_binary64` `unswap-sqr_binary64`
73×	`distribute-rgt-out_binary64`
57×	`distribute-rgt-out--_binary64`
54×	`+-commutative_binary64`
45×	`associate-+l+_binary64`
39×	`*-rgt-identity_binary64` `associate-+r+_binary64`
29×	`*-lft-identity_binary64`
28×	`unpow3_binary64`
27×	`associate-+l-_binary64`
25×	`associate--l+_binary64` `associate-+r-_binary64`
24×	`pow-sqr_binary64`
22×	`cube-unmult_binary64`
20×	`cube-mult_binary64`
18×	`unsub-neg_binary64`
17×	`sub0-neg_binary64` `+-rgt-identity_binary64`
16×	`distribute-rgt-in_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`distribute-lft-out--_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
10×	`unpow1/2_binary64`
9×	`distribute-rgt-neg-out_binary64`
7×	`rem-sqrt-square_binary64`
6×	`pow-plus_binary64` `distribute-neg-in_binary64`
5×	`associate-/l*_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64`
2×	`cancel-sign-sub_binary64`
1×	`cos-neg_binary64` `1-exp_binary64` `exp-1-e_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` `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` `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` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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` `associate--l-_binary64`

Counts

123 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2349
1	582	1986
2	2084	1877
3	3623	1877
4	4968	1877
5	5034	1877

prune178.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Error

0.0b

Counts

98 → 9

Compiler

Compiled 3337 to 682 computations (79.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite270.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`sin-mult_binary64` `associate-r/_binary64` `cos-mult_binary64` `associate-l/_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
6.0ms	(.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 phi1))
4.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 3514 to 443 computations (87.4% saved)

series316.0ms (1.9%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

104.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
62.0ms	(.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (sin.f64 phi1))
30.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
26.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 5275 to 2489 computations (52.8% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

582×	`distribute-rgt-neg-in_binary64`
500×	`associate-r_binary64`
474×	`associate-l_binary64`
330×	`cancel-sign-sub-inv_binary64`
276×	`distribute-lft-neg-in_binary64`
231×	`*-commutative_binary64`
214×	`sub-neg_binary64`
208×	`neg-mul-1_binary64` `neg-sub0_binary64`
178×	`sqr-pow_binary64`
105×	`exp-prod_binary64`
98×	`log-prod_binary64`
95×	`unswap-sqr_binary64`
91×	`swap-sqr_binary64`
83×	`cube-prod_binary64`
73×	`distribute-rgt-out_binary64`
58×	`+-commutative_binary64`
57×	`distribute-rgt-out--_binary64`
44×	`associate-+l+_binary64`
39×	`*-rgt-identity_binary64` `associate-+r+_binary64`
33×	`*-lft-identity_binary64`
28×	`pow-sqr_binary64` `associate-+l-_binary64`
26×	`associate-+r-_binary64`
25×	`associate--l+_binary64`
23×	`unpow3_binary64`
19×	`cube-unmult_binary64` `cube-mult_binary64`
18×	`unsub-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-in_binary64`
14×	`distribute-lft-in_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`distribute-lft-out--_binary64` `associate--r+_binary64`
9×	`distribute-rgt-neg-out_binary64`
6×	`unpow1/2_binary64` `distribute-neg-in_binary64`
4×	`pow-plus_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
2×	`cancel-sign-sub_binary64` `associate-/l*_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `exp-sum_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-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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` `associate--l-_binary64`

Counts

124 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	2370
1	617	2007
2	2217	1898
3	3753	1898
4	5081	1898

prune206.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Error

0.0b

Counts

98 → 8

Compiler

Compiled 2848 to 435 computations (84.7% saved)

regimes3.3s (19.9%)

Accuracy

Total 0.1b remaining (50.5%)

Threshold costs 0.1b (50.5%)

Compiler

Compiled 59185 to 38804 computations (34.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-rgt-neg-in_binary64`
11×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`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` `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	29	77
1	47	77
2	64	77
3	90	77
4	118	77
5	140	77
6	152	77
7	157	77
8	158	77
9	158	77

end1.0ms (0%)

Compiler: Compiled 46 to 28 computations (39.1% saved)

sample7.1s (42.9%)

Algorithm

1×

intervals

Results

5.0s	5407×	body	1024	valid
714.0ms	1229×	body	512	valid
393.0ms	186×	body	2048	valid
152.0ms	409×	body	256	valid
128.0ms	769×	body	128	valid

Compiler

Compiled 443 to 282 computations (36.3% 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

analyze2.8s (16.6%)

sample223.0ms (1.3%)

simplify24.0ms (0.1%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite146.0ms (0.9%)

series225.0ms (1.3%)

simplify155.0ms (0.9%)

prune126.0ms (0.8%)

localize28.0ms (0.2%)

rewrite172.0ms (1%)

series261.0ms (1.6%)

simplify119.0ms (0.7%)

prune160.0ms (1%)

localize34.0ms (0.2%)

rewrite219.0ms (1.3%)

series297.0ms (1.8%)

simplify125.0ms (0.8%)

prune178.0ms (1.1%)

localize33.0ms (0.2%)

rewrite270.0ms (1.6%)

series316.0ms (1.9%)

simplify103.0ms (0.6%)

prune206.0ms (1.2%)

regimes3.3s (19.9%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end1.0ms (0%)

sample7.1s (42.9%)

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