Details

analyze2.9s (16.9%)

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)

sample225.0ms (1.3%)

Algorithm

1×

intervals

Results

165.0ms	172×	body	1024	valid
22.0ms	40×	body	512	valid
14.0ms	7×	body	2048	valid
6.0ms	33×	body	128	valid
1.0ms	4×	body	256	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

12.0b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(sin.f64 (-.f64 lambda1 lambda2))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite165.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

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:

12.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1908 to 347 computations (81.8% saved)

series208.0ms (1.2%)

Error

8.9b

Counts

4 → 49

Calls

4 calls:

81.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
26.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
24.0ms	(sin.f64 (-.f64 lambda1 lambda2))
22.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3284 to 1796 computations (45.3% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
294×	`neg-mul-1_binary64`
291×	`associate-r_binary64`
289×	`associate-l_binary64`
274×	`neg-sub0_binary64`
261×	`sub-neg_binary64`
220×	`unsub-neg_binary64`
186×	`*-commutative_binary64`
145×	`distribute-lft-in_binary64`
126×	`distribute-rgt-in_binary64`
97×	`sqr-pow_binary64`
96×	`distribute-rgt-out--_binary64`
90×	`distribute-rgt-out_binary64`
71×	`distribute-lft-neg-out_binary64`
70×	`+-commutative_binary64`
58×	`distribute-rgt-neg-out_binary64`
47×	`unswap-sqr_binary64`
45×	`cube-prod_binary64`
44×	`associate-+l-_binary64`
38×	`distribute-lft-out_binary64` `associate-+r-_binary64`
37×	`exp-prod_binary64` `cancel-sign-sub_binary64`
35×	`associate--r-_binary64`
33×	`log-prod_binary64`
30×	`swap-sqr_binary64`
29×	`associate--l+_binary64` `associate-+l+_binary64`
28×	`remove-double-neg_binary64`
27×	`*-rgt-identity_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
24×	`*-lft-identity_binary64` `distribute-lft-out--_binary64`
22×	`associate-+r+_binary64`
18×	`cube-unmult_binary64`
17×	`pow-sqr_binary64` `associate--r+_binary64`
15×	`unpow3_binary64`
12×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
10×	`associate-/l*_binary64`
9×	`unpow1/2_binary64` `distribute-neg-in_binary64`
8×	`distribute-neg-out_binary64`
7×	`associate--l-_binary64`
6×	`sin-neg_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
5×	`cos-neg_binary64` `pow-plus_binary64` `distribute-lft1-in_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`exp-sum_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `count-2_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` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64`

Counts

112 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	1930
1	575	1721
2	1666	1649
3	2863	1624
4	4708	1624
5	4961	1624

prune111.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	62	12	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	12	75

Error

6.1b

Counts

75 → 12

Compiler

Compiled 1881 to 568 computations (69.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite183.0ms (1.1%)

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×	`unswap-sqr_binary64`
1×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sin-cos-mult_binary64` `associate-*l/_binary64`

Counts

4 → 69

Calls

4 calls:

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

Compiler

Compiled 2437 to 380 computations (84.4% saved)

series263.0ms (1.5%)

Error

5.7b

Counts

4 → 47

Calls

4 calls:

86.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
33.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
30.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
24.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3918 to 2203 computations (43.8% saved)

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

538×	`distribute-rgt-neg-in_binary64`
458×	`distribute-lft-neg-in_binary64`
338×	`associate-l_binary64`
337×	`associate-r_binary64`
302×	`cancel-sign-sub-inv_binary64`
218×	`sub-neg_binary64`
207×	`neg-mul-1_binary64`
205×	`neg-sub0_binary64`
195×	`*-commutative_binary64`
144×	`distribute-lft-in_binary64`
116×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
105×	`distribute-rgt-out--_binary64`
90×	`distribute-rgt-out_binary64`
77×	`distribute-lft-neg-out_binary64`
63×	`distribute-rgt-neg-out_binary64`
62×	`+-commutative_binary64`
55×	`exp-prod_binary64` `distribute-lft-out_binary64`
53×	`unswap-sqr_binary64`
51×	`cube-prod_binary64` `unsub-neg_binary64`
48×	`log-prod_binary64`
47×	`distribute-lft-out--_binary64`
36×	`swap-sqr_binary64`
35×	`*-rgt-identity_binary64`
31×	`*-lft-identity_binary64`
30×	`associate-+l-_binary64` `associate-+r-_binary64`
27×	`associate-+l+_binary64`
26×	`cancel-sign-sub_binary64`
24×	`unpow3_binary64` `+-rgt-identity_binary64`
22×	`cube-unmult_binary64` `associate--l+_binary64`
21×	`remove-double-neg_binary64` `associate-+r+_binary64`
20×	`sub0-neg_binary64` `pow-sqr_binary64`
14×	`cube-mult_binary64` `rem-sqrt-square_binary64`
11×	`unpow1/2_binary64` `associate--r+_binary64`
9×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
6×	`sin-neg_binary64` `pow-plus_binary64` `exp-sum_binary64` `difference-of-squares_binary64`
5×	`cos-neg_binary64` `cube-neg_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64`
3×	`distribute-neg-out_binary64` `distribute-lft1-in_binary64`
2×	`exp-diff_binary64` `exp-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-frac-neg_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` `times-frac_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` `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 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	1934
1	601	1703
2	1798	1633
3	2958	1619
4	4930	1619
5	4989	1619
6	5000	1619
7	4950	1619

prune140.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	80	9	89

Error

0.1b

Counts

89 → 9

Compiler

Compiled 2168 to 540 computations (75.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite230.0ms (1.3%)

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`
4×	`add-log-exp_binary64` `sin-cos-mult_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 → 82

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

Compiler

Compiled 3542 to 480 computations (86.4% saved)

series299.0ms (1.7%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

135.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
33.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
30.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
29.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4793 to 2396 computations (50% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

713×	`cancel-sign-sub-inv_binary64`
582×	`associate-r_binary64`
563×	`associate-l_binary64`
375×	`distribute-rgt-neg-in_binary64`
277×	`*-commutative_binary64`
265×	`neg-mul-1_binary64`
153×	`exp-prod_binary64`
112×	`sub-neg_binary64`
96×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
83×	`sqr-pow_binary64`
76×	`+-commutative_binary64`
71×	`neg-sub0_binary64`
57×	`cube-prod_binary64`
49×	`log-prod_binary64`
44×	`*-rgt-identity_binary64`
39×	`*-lft-identity_binary64`
37×	`associate--l+_binary64`
36×	`distribute-lft-neg-in_binary64`
31×	`associate-+l+_binary64`
28×	`swap-sqr_binary64` `distribute-neg-in_binary64`
26×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
23×	`unswap-sqr_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-rgt-out_binary64`
18×	`unsub-neg_binary64`
16×	`unpow3_binary64`
13×	`cube-unmult_binary64`
9×	`cube-mult_binary64`
8×	`unpow1/2_binary64` `exp-sum_binary64`
7×	`distribute-rgt-neg-out_binary64`
5×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
2×	`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` `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-rgt1-in_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

128 → 92

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	303	3061
1	877	2650
2	3247	2650
3	4829	2650
4	5094	2650

prune186.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	8	0	8
Picked	1	0	1
Done	0	0	0
Total	92	9	101

Error

0.1b

Counts

101 → 9

Compiler

Compiled 3542 to 736 computations (79.2% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
3.0b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite291.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`pow1_binary64` `add-sqr-sqrt_binary64`
13×	`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×	`add-log-exp_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`log-pow_binary64` `log-prod_binary64` `sin-cos-mult_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `rem-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64` `sin-mult_binary64`

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
5.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

Compiler

Compiled 3397 to 466 computations (86.3% saved)

series369.0ms (2.2%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

174.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
51.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
36.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
32.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 4766 to 2426 computations (49.1% saved)

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

611×	`cancel-sign-sub-inv_binary64`
463×	`associate-r_binary64`
446×	`distribute-rgt-in_binary64`
445×	`associate-l_binary64`
320×	`distribute-rgt-neg-in_binary64`
295×	`distribute-lft-neg-in_binary64`
263×	`neg-mul-1_binary64`
220×	`*-commutative_binary64`
120×	`exp-prod_binary64`
116×	`distribute-rgt-out_binary64`
95×	`sub-neg_binary64`
78×	`distribute-lft-in_binary64`
70×	`sqr-pow_binary64`
63×	`+-commutative_binary64`
61×	`neg-sub0_binary64`
49×	`log-prod_binary64`
45×	`cube-prod_binary64`
42×	`distribute-rgt-out--_binary64`
36×	`distribute-lft-out_binary64`
32×	`-rgt-identity_binary64` `-lft-identity_binary64`
31×	`associate--l+_binary64`
28×	`distribute-neg-in_binary64`
25×	`swap-sqr_binary64` `associate-+l+_binary64`
22×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
21×	`associate-+r+_binary64`
14×	`unpow3_binary64` `cube-unmult_binary64` `unsub-neg_binary64`
13×	`distribute-lft-out--_binary64`
11×	`unswap-sqr_binary64`
10×	`exp-to-pow_binary64` `cube-mult_binary64`
9×	`exp-sum_binary64`
7×	`unpow1/2_binary64`
6×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64`
3×	`rem-log-exp_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
2×	`associate-+r-_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `distribute-rgt1-in_binary64` `count-2_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `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` `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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

120 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2842
1	725	2494
2	2672	2443
3	4866	2443
4	5136	2443

prune222.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	97	9	106

Error

0.1b

Counts

106 → 9

Compiler

Compiled 3184 to 504 computations (84.2% saved)

regimes3.1s (18.4%)

Accuracy

Total 0.1b remaining (56.2%)

Threshold costs 0.1b (56.2%)

Compiler

Compiled 60842 to 38199 computations (37.2% 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` `distribute-rgt-neg-in_binary64`
9×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `*-lft-identity_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-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	27	63
1	49	63
2	72	63
3	92	63
4	124	63
5	135	63
6	141	63
7	143	63
8	141	63

end1.0ms (0%)

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

sample7.5s (43.9%)

Algorithm

1×

intervals

Results

5.3s	5376×	body	1024	valid
732.0ms	1277×	body	512	valid
400.0ms	189×	body	2048	valid
171.0ms	420×	body	256	valid
124.0ms	738×	body	128	valid

Compiler

Compiled 511 to 305 computations (40.3% 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

analyze2.9s (16.9%)

sample225.0ms (1.3%)

simplify25.0ms (0.1%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite165.0ms (1%)

series208.0ms (1.2%)

simplify119.0ms (0.7%)

prune111.0ms (0.6%)

localize30.0ms (0.2%)

rewrite183.0ms (1.1%)

series263.0ms (1.5%)

simplify165.0ms (1%)

prune140.0ms (0.8%)

localize30.0ms (0.2%)

rewrite230.0ms (1.3%)

series299.0ms (1.7%)

simplify133.0ms (0.8%)

prune186.0ms (1.1%)

localize32.0ms (0.2%)

rewrite291.0ms (1.7%)

series369.0ms (2.2%)

simplify120.0ms (0.7%)

prune222.0ms (1.3%)

regimes3.1s (18.4%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end1.0ms (0%)

sample7.5s (43.9%)

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