Details

analyze7.1s (21.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

683×	`sub-neg_binary64`
661×	`cancel-sign-sub-inv_binary64`
365×	`neg-mul-1_binary64`
351×	`distribute-rgt-neg-in_binary64`
316×	`distribute-neg-in_binary64`
314×	`neg-sub0_binary64`
302×	`unsub-neg_binary64`
263×	`distribute-lft-neg-in_binary64`
228×	`unswap-sqr_binary64`
212×	`distribute-rgt-in_binary64`
211×	`associate-r_binary64`
190×	`distribute-lft-neg-out_binary64`
180×	`distribute-lft-in_binary64`
176×	`associate--r-_binary64`
160×	`associate-l_binary64`
153×	`*-commutative_binary64`
136×	`sqr-pow_binary64`
126×	`associate-+l-_binary64`
115×	`remove-double-neg_binary64`
111×	`mul0-rgt_binary64` `mul0-lft_binary64`
100×	`+-commutative_binary64`
83×	`sub0-neg_binary64` `associate-+r-_binary64`
81×	`div-sub_binary64`
79×	`distribute-rgt-neg-out_binary64`
61×	`associate-+l+_binary64`
55×	`associate-+r+_binary64`
52×	`difference-of-sqr--1_binary64`
48×	`unpow3_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
46×	`+-rgt-identity_binary64`
40×	`pow-plus_binary64` `cube-unmult_binary64` `difference-of-sqr-1_binary64`
38×	`associate--r+_binary64`
34×	`associate-/l*_binary64`
33×	`cancel-sign-sub_binary64` `associate--l+_binary64`
24×	`distribute-lft-out_binary64`
20×	`swap-sqr_binary64`
19×	`sqr-neg_binary64`
18×	`+-lft-identity_binary64`
16×	`unpow2_binary64` `pow-sqr_binary64`
14×	`sin-neg_binary64`
13×	`distribute-neg-frac_binary64`
12×	`cos-neg_binary64`
10×	`*-lft-identity_binary64`
9×	`sub-1-sin_binary64` `1-sub-sin_binary64`
8×	`unpow1/2_binary64` `unpow1_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
5×	`associate-/r/_binary64` `associate-/r*_binary64`
2×	`distribute-frac-neg_binary64`
1×	`1-exp_binary64` `swap-lambda1-lambda2` `swap-phi1-phi2`
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-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_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` `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` `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-mult_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` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1101
1	386	1101
2	872	1101
3	1804	1101
4	3370	1101
5	4231	1069
6	3976	1069
7	4964	1069
8	4981	1069
9	4998	1069
10	4763	1069
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample687.0ms (2.1%)

Algorithm

1×

intervals

Results

320.0ms	180×	body	1024	valid
283.0ms	12×	body	2048	valid
36.0ms	32×	body	512	valid
8.0ms	25×	body	128	valid
5.0ms	7×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-neg-in_binary64`
520×	`sub-neg_binary64`
414×	`neg-mul-1_binary64`
396×	`neg-sub0_binary64`
364×	`distribute-lft-neg-in_binary64`
322×	`unsub-neg_binary64`
317×	`cancel-sign-sub-inv_binary64`
278×	`unswap-sqr_binary64`
237×	`distribute-lft-neg-out_binary64`
189×	`sqr-pow_binary64`
172×	`associate--r+_binary64`
152×	`associate-l_binary64`
144×	`distribute-rgt-in_binary64`
140×	`remove-double-neg_binary64`
132×	`distribute-neg-in_binary64`
125×	`swap-sqr_binary64`
120×	`sqr-neg_binary64` `+-commutative_binary64`
119×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
117×	`cube-prod_binary64`
94×	`distribute-lft-in_binary64`
85×	`associate-r_binary64`
84×	`associate--l+_binary64`
82×	`associate--r-_binary64` `associate-+l+_binary64`
71×	`associate-+l-_binary64`
70×	`difference-of-sqr--1_binary64`
58×	`pow-sqr_binary64`
56×	`div-sub_binary64`
40×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l-_binary64` `associate-+r-_binary64`
37×	`sub0-neg_binary64`
32×	`unpow3_binary64`
30×	`associate-/l*_binary64`
28×	`cube-mult_binary64`
22×	`cancel-sign-sub_binary64`
20×	`--rgt-identity_binary64`
18×	`rem-sqrt-square_binary64`
16×	`associate-/r*_binary64`
14×	`difference-of-sqr-1_binary64` `associate-/r/_binary64`
11×	`associate-+r+_binary64`
10×	`unpow2_binary64` `distribute-neg-frac_binary64`
9×	`cube-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`
8×	`sin-neg_binary64` `unpow1_binary64`
7×	`cos-neg_binary64` `cube-unmult_binary64` `*-lft-identity_binary64` `distribute-neg-out_binary64`
6×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
5×	`unpow1/2_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
1×	`sub-1-sin_binary64` `1-sub-sin_binary64` `1-exp_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_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` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	103
2	119	103
3	235	103
4	459	103
5	809	103
6	1296	103
7	2000	103
8	2952	103
9	4304	103
10	4591	103
11	4778	103

prune5.0ms (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

23.4b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite121.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

4×	`div-sub_binary64` `sin-diff_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series252.0ms (0.8%)

Error

22.6b

Counts

4 → 38

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
32.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6320 to 4314 computations (31.7% saved)

simplify106.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

554×	`distribute-rgt-neg-in_binary64`
491×	`distribute-lft-neg-in_binary64`
437×	`associate-l_binary64`
390×	`neg-mul-1_binary64`
367×	`neg-sub0_binary64`
361×	`associate-r_binary64`
311×	`cancel-sign-sub-inv_binary64`
293×	`distribute-rgt-in_binary64`
190×	`sub-neg_binary64`
168×	`*-commutative_binary64`
131×	`distribute-lft-out--_binary64`
122×	`distribute-rgt-out--_binary64`
114×	`distribute-rgt-out_binary64`
109×	`distribute-lft-out_binary64`
108×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
89×	`distribute-rgt-neg-out_binary64`
74×	`unswap-sqr_binary64`
54×	`unsub-neg_binary64` `+-commutative_binary64`
52×	`associate-+l-_binary64`
34×	`sub0-neg_binary64`
27×	`div-sub_binary64` `sqr-pow_binary64` `associate-+l+_binary64`
26×	`associate-+r-_binary64`
25×	`distribute-neg-out_binary64`
23×	`associate--l+_binary64`
22×	`+-rgt-identity_binary64`
18×	`sin-neg_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
17×	`associate-+r+_binary64`
16×	`pow-plus_binary64`
14×	`distribute-lft-in_binary64`
13×	`remove-double-neg_binary64`
12×	`cube-unmult_binary64`
10×	`associate-/l*_binary64`
8×	`cube-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`unpow3_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--r-_binary64`
4×	`distribute-neg-frac_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `distribute-lft1-in_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-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` `swap-sqr_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

70 → 16

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1160
1	188	1084
2	384	1052
3	841	1038
4	2272	1038
5	4661	1038
6	5161	1038

prune66.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	9	7	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	10	7	17

Error

23.3b

Counts

17 → 7

Compiler

Compiled 1690 to 1075 computations (36.4% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
8.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite192.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

22.2b

Rules

12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64` `div-sub_binary64` `sin-diff_binary64`
1×	`pow1/3_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 3218 to 1914 computations (40.5% saved)

series264.0ms (0.8%)

Error

22.5b

Counts

4 → 38

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
37.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6515 to 4509 computations (30.8% saved)

simplify137.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

664×	`cancel-sign-sub-inv_binary64`
616×	`unswap-sqr_binary64`
349×	`*-commutative_binary64`
334×	`distribute-rgt-neg-in_binary64`
271×	`distribute-lft-neg-in_binary64`
248×	`distribute-rgt-in_binary64`
245×	`neg-mul-1_binary64`
233×	`unsub-neg_binary64`
220×	`neg-sub0_binary64`
202×	`sub-neg_binary64`
179×	`associate-l_binary64`
167×	`associate-r_binary64`
135×	`distribute-neg-in_binary64`
103×	`rem-sqrt-square_binary64`
90×	`sqr-pow_binary64`
68×	`distribute-lft-neg-out_binary64`
54×	`+-commutative_binary64`
53×	`associate-+l-_binary64`
50×	`distribute-lft-out--_binary64`
48×	`distribute-rgt-out--_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`pow-plus_binary64` `distribute-lft-out_binary64`
39×	`distribute-rgt-out_binary64`
34×	`sub0-neg_binary64` `associate-+l+_binary64`
29×	`log-prod_binary64`
27×	`cube-unmult_binary64` `div-sub_binary64` `associate-+r-_binary64`
26×	`exp-prod_binary64` `associate-+r+_binary64`
25×	`distribute-neg-out_binary64`
23×	`cube-prod_binary64` `associate--l+_binary64`
22×	`+-rgt-identity_binary64`
20×	`sin-neg_binary64` `unpow3_binary64`
19×	`pow-sqr_binary64`
18×	`associate--r+_binary64`
15×	`distribute-lft-in_binary64`
13×	`remove-double-neg_binary64`
12×	`associate-/l*_binary64`
10×	`log-pow_binary64`
8×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`unpow2_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--r-_binary64`
4×	`unpow1_binary64` `rem-cbrt-cube_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `count-2_binary64` `associate--l-_binary64`
3×	`sqr-neg_binary64`
2×	`unpow1/2_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-lft1-in_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-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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-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` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

83 → 32

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1395
1	224	1315
2	492	1283
3	1175	1269
4	2295	1255
5	4465	1255
6	5000	1255
7	4904	1255

prune104.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Error

23.2b

Counts

39 → 8

Compiler

Compiled 2387 to 1503 computations (37% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
8.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
8.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite315.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

72×	`cbrt-prod_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
2×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `div-sub_binary64` `sin-diff_binary64`

Counts

4 → 82

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 4928 to 3037 computations (38.4% saved)

series261.0ms (0.8%)

Error

22.6b

Counts

4 → 38

Calls

4 calls:

44.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
41.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
39.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
38.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6635 to 4629 computations (30.2% saved)

simplify177.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

849×	`unswap-sqr_binary64`
664×	`cancel-sign-sub-inv_binary64`
394×	`*-commutative_binary64`
334×	`distribute-rgt-neg-in_binary64`
254×	`neg-mul-1_binary64`
207×	`associate-l_binary64`
202×	`sub-neg_binary64`
192×	`associate-r_binary64`
140×	`rem-sqrt-square_binary64`
135×	`distribute-neg-in_binary64`
119×	`sqr-pow_binary64`
112×	`neg-sub0_binary64`
98×	`distribute-lft-neg-in_binary64`
68×	`distribute-lft-neg-out_binary64`
60×	`unsub-neg_binary64`
57×	`pow-plus_binary64`
54×	`+-commutative_binary64`
53×	`associate-+l-_binary64`
47×	`distribute-rgt-neg-out_binary64`
38×	`log-prod_binary64`
34×	`unpow3_binary64` `cube-unmult_binary64` `sub0-neg_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
29×	`distribute-lft-out--_binary64`
27×	`exp-prod_binary64` `div-sub_binary64` `associate-+r-_binary64`
26×	`associate-+r+_binary64`
25×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
24×	`cube-prod_binary64`
23×	`distribute-rgt-in_binary64` `associate--l+_binary64`
22×	`sin-neg_binary64` `+-rgt-identity_binary64`
21×	`pow-sqr_binary64`
20×	`cube-mult_binary64`
19×	`log-pow_binary64` `distribute-lft-out_binary64`
18×	`associate--r+_binary64`
17×	`rem-cbrt-cube_binary64`
15×	`distribute-lft-in_binary64`
13×	`remove-double-neg_binary64`
12×	`associate-/l*_binary64`
10×	`rem-cube-cbrt_binary64`
9×	`unpow2_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`unpow1_binary64` `associate--r-_binary64`
4×	`cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `count-2_binary64` `associate--l-_binary64`
3×	`sqr-neg_binary64`
2×	`unpow1/2_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-lft1-in_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-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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-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` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

120 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	146	2282
1	234	2112
2	526	2080
3	1284	2066
4	2469	2022
5	4666	2022
6	4983	2022
7	4907	2022

prune120.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Error

23.2b

Counts

79 → 8

Compiler

Compiled 2856 to 1778 computations (37.7% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite182.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

4×	`div-sub_binary64` `sin-diff_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 32

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 2680 to 1602 computations (40.2% saved)

series274.0ms (0.8%)

Error

22.5b

Counts

4 → 34

Calls

4 calls:

45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 6630 to 4566 computations (31.1% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

554×	`distribute-rgt-neg-in_binary64`
491×	`distribute-lft-neg-in_binary64`
437×	`associate-l_binary64`
390×	`neg-mul-1_binary64`
367×	`neg-sub0_binary64`
361×	`associate-r_binary64`
311×	`cancel-sign-sub-inv_binary64`
293×	`distribute-rgt-in_binary64`
190×	`sub-neg_binary64`
168×	`*-commutative_binary64`
131×	`distribute-lft-out--_binary64`
122×	`distribute-rgt-out--_binary64`
114×	`distribute-rgt-out_binary64`
109×	`distribute-lft-out_binary64`
108×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
89×	`distribute-rgt-neg-out_binary64`
74×	`unswap-sqr_binary64`
54×	`unsub-neg_binary64` `+-commutative_binary64`
52×	`associate-+l-_binary64`
34×	`sub0-neg_binary64`
27×	`div-sub_binary64` `sqr-pow_binary64` `associate-+l+_binary64`
26×	`associate-+r-_binary64`
25×	`distribute-neg-out_binary64`
23×	`associate--l+_binary64`
22×	`+-rgt-identity_binary64`
18×	`sin-neg_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
17×	`associate-+r+_binary64`
16×	`pow-plus_binary64`
14×	`distribute-lft-in_binary64`
13×	`remove-double-neg_binary64`
12×	`cube-unmult_binary64`
10×	`associate-/l*_binary64`
8×	`cube-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`unpow3_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--r-_binary64`
4×	`distribute-neg-frac_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `distribute-lft1-in_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-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` `swap-sqr_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

66 → 12

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1012
1	188	936
2	384	920
3	841	913
4	2272	913
5	4661	913
6	5161	913

prune64.0ms (0.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	12	8	20

Error

23.2b

Counts

20 → 8

Compiler

Compiled 982 to 599 computations (39% saved)

regimes7.5s (23%)

Accuracy

Total -0.3b remaining (-1.2%)

Threshold costs -0.3b (-1.2%)

Compiler

Compiled 179654 to 130992 computations (27.1% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
19×	`+-commutative_binary64`
17×	`sub-neg_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `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	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

end33.0ms (0.1%)

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 390 to 290 computations (25.6% saved)

sample14.2s (43.6%)

Algorithm

1×

intervals

Results

9.6s	5286×	body	1024	valid
1.5s	1277×	body	512	valid
1.3s	433×	body	2048	valid
262.0ms	364×	body	256	valid
206.0ms	640×	body	128	valid
8.0ms	2×	body	1024	invalid

Compiler

Compiled 784 to 593 computations (24.4% saved)

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

Details

analyze7.1s (21.9%)

sample687.0ms (2.1%)

simplify122.0ms (0.4%)

prune5.0ms (0%)

localize37.0ms (0.1%)

rewrite121.0ms (0.4%)

series252.0ms (0.8%)

simplify106.0ms (0.3%)

prune66.0ms (0.2%)

localize41.0ms (0.1%)

rewrite192.0ms (0.6%)

series264.0ms (0.8%)

simplify137.0ms (0.4%)

prune104.0ms (0.3%)

localize45.0ms (0.1%)

rewrite315.0ms (1%)

series261.0ms (0.8%)

simplify177.0ms (0.5%)

prune120.0ms (0.4%)

localize42.0ms (0.1%)

rewrite182.0ms (0.6%)

series274.0ms (0.8%)

simplify100.0ms (0.3%)

prune64.0ms (0.2%)

regimes7.5s (23%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end33.0ms (0.1%)

sample14.2s (43.6%)

Profiling

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124