Details

analyze7.2s (23.1%)

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)

sample450.0ms (1.4%)

Algorithm

1×

intervals

Results

318.0ms	178×	body	1024	valid
55.0ms	44×	body	512	valid
29.0ms	10×	body	2048	valid
5.0ms	18×	body	128	valid
4.0ms	6×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify109.0ms (0.3%)

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

26.0b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite128.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

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:

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

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series240.0ms (0.8%)

Error

25.0b

Counts

4 → 37

Calls

4 calls:

40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
30.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6165 to 4209 computations (31.7% saved)

simplify106.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

542×	`sub-neg_binary64`
502×	`associate-l_binary64`
478×	`cancel-sign-sub-inv_binary64`
456×	`associate-r_binary64`
276×	`distribute-rgt-out_binary64`
264×	`neg-mul-1_binary64`
263×	`unsub-neg_binary64`
262×	`distribute-rgt-out--_binary64`
247×	`neg-sub0_binary64`
182×	`distribute-rgt-neg-in_binary64`
176×	`distribute-lft-neg-in_binary64`
175×	`*-commutative_binary64`
172×	`distribute-lft-out_binary64`
166×	`distribute-lft-out--_binary64`
147×	`distribute-lft-neg-out_binary64`
128×	`distribute-rgt-neg-out_binary64`
105×	`distribute-neg-in_binary64`
74×	`unswap-sqr_binary64`
55×	`associate-+l-_binary64`
52×	`+-commutative_binary64`
40×	`cancel-sign-sub_binary64`
35×	`sub0-neg_binary64`
32×	`distribute-neg-out_binary64`
30×	`associate-+r-_binary64`
29×	`remove-double-neg_binary64`
28×	`associate-+l+_binary64`
27×	`div-sub_binary64` `sqr-pow_binary64`
26×	`distribute-rgt-in_binary64` `associate--l+_binary64`
23×	`+-rgt-identity_binary64`
21×	`associate--r+_binary64`
18×	`sin-neg_binary64`
16×	`pow-plus_binary64` `distribute-lft-in_binary64`
13×	`associate-+r+_binary64`
11×	`cube-unmult_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
8×	`cube-prod_binary64`
7×	`unpow3_binary64` `associate--r-_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--l-_binary64`
4×	`--rgt-identity_binary64` `distribute-neg-frac_binary64`
3×	`*-lft-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `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

69 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1140
1	190	1064
2	401	1022
3	931	1018
4	2771	1018
5	4581	1018
6	5178	1018

prune68.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	10	7	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	7	18

Error

25.4b

Counts

18 → 7

Compiler

Compiled 1748 to 1106 computations (36.7% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite205.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

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

Compiler

Compiled 3218 to 1914 computations (40.5% saved)

series245.0ms (0.8%)

Error

24.9b

Counts

4 → 37

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6354 to 4398 computations (30.8% saved)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

616×	`unswap-sqr_binary64`
533×	`distribute-rgt-neg-in_binary64`
478×	`cancel-sign-sub-inv_binary64`
407×	`distribute-lft-neg-in_binary64`
359×	`*-commutative_binary64`
336×	`sub-neg_binary64`
293×	`neg-mul-1_binary64`
270×	`neg-sub0_binary64`
179×	`associate-l_binary64`
174×	`associate-r_binary64`
120×	`unsub-neg_binary64`
106×	`distribute-neg-in_binary64`
103×	`rem-sqrt-square_binary64`
90×	`sqr-pow_binary64`
82×	`distribute-rgt-out--_binary64`
65×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
57×	`associate-+l-_binary64`
56×	`distribute-rgt-neg-out_binary64`
52×	`+-commutative_binary64`
44×	`pow-plus_binary64`
37×	`associate-+l+_binary64`
35×	`sub0-neg_binary64`
32×	`distribute-neg-out_binary64` `associate-+r-_binary64`
29×	`log-prod_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64`
27×	`cube-unmult_binary64` `div-sub_binary64` `distribute-rgt-in_binary64`
26×	`exp-prod_binary64` `associate--l+_binary64` `associate-+r+_binary64`
23×	`cube-prod_binary64` `+-rgt-identity_binary64`
21×	`distribute-lft-out_binary64` `associate--r+_binary64`
20×	`unpow3_binary64`
19×	`pow-sqr_binary64`
18×	`sin-neg_binary64`
17×	`distribute-lft-out--_binary64` `distribute-lft-in_binary64`
12×	`associate-/l*_binary64`
10×	`log-pow_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`cube-mult_binary64`
7×	`unpow2_binary64` `associate--r-_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--l-_binary64`
4×	`unpow1_binary64` `rem-cbrt-cube_binary64` `--rgt-identity_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
3×	`*-lft-identity_binary64`
2×	`unpow1/2_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_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

82 → 33

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1375
1	226	1295
2	509	1253
3	1265	1249
4	2591	1235
5	4477	1235
6	4914	1235

prune106.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	30	10	40

Error

25.4b

Counts

40 → 10

Compiler

Compiled 2617 to 1662 computations (36.5% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite179.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

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

Compiler

Compiled 2680 to 1602 computations (40.2% saved)

series268.0ms (0.9%)

Error

24.9b

Counts

4 → 34

Calls

4 calls:

44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6630 to 4566 computations (31.1% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

542×	`sub-neg_binary64`
502×	`associate-l_binary64`
478×	`cancel-sign-sub-inv_binary64`
456×	`associate-r_binary64`
276×	`distribute-rgt-out_binary64`
264×	`neg-mul-1_binary64`
263×	`unsub-neg_binary64`
262×	`distribute-rgt-out--_binary64`
247×	`neg-sub0_binary64`
182×	`distribute-rgt-neg-in_binary64`
176×	`distribute-lft-neg-in_binary64`
175×	`*-commutative_binary64`
172×	`distribute-lft-out_binary64`
166×	`distribute-lft-out--_binary64`
147×	`distribute-lft-neg-out_binary64`
128×	`distribute-rgt-neg-out_binary64`
105×	`distribute-neg-in_binary64`
74×	`unswap-sqr_binary64`
55×	`associate-+l-_binary64`
52×	`+-commutative_binary64`
40×	`cancel-sign-sub_binary64`
35×	`sub0-neg_binary64`
32×	`distribute-neg-out_binary64`
30×	`associate-+r-_binary64`
29×	`remove-double-neg_binary64`
28×	`associate-+l+_binary64`
27×	`div-sub_binary64` `sqr-pow_binary64`
26×	`distribute-rgt-in_binary64` `associate--l+_binary64`
23×	`+-rgt-identity_binary64`
21×	`associate--r+_binary64`
18×	`sin-neg_binary64`
16×	`pow-plus_binary64` `distribute-lft-in_binary64`
13×	`associate-+r+_binary64`
11×	`cube-unmult_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
8×	`cube-prod_binary64`
7×	`unpow3_binary64` `associate--r-_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--l-_binary64`
4×	`--rgt-identity_binary64` `distribute-neg-frac_binary64`
3×	`*-lft-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `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 → 14

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1012
1	190	936
2	401	915
3	931	913
4	2771	913
5	4581	913
6	5178	913

prune93.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	8	6	14
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	11	13	24

Error

25.3b

Counts

24 → 13

Compiler

Compiled 2173 to 1448 computations (33.4% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite261.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

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

Compiler

Compiled 3680 to 2250 computations (38.9% saved)

series283.0ms (0.9%)

Error

24.9b

Counts

4 → 34

Calls

4 calls:

47.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
37.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6819 to 4755 computations (30.3% saved)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

616×	`unswap-sqr_binary64`
533×	`distribute-rgt-neg-in_binary64`
478×	`cancel-sign-sub-inv_binary64`
407×	`distribute-lft-neg-in_binary64`
359×	`*-commutative_binary64`
336×	`sub-neg_binary64`
293×	`neg-mul-1_binary64`
270×	`neg-sub0_binary64`
179×	`associate-l_binary64`
174×	`associate-r_binary64`
120×	`unsub-neg_binary64`
106×	`distribute-neg-in_binary64`
103×	`rem-sqrt-square_binary64`
90×	`sqr-pow_binary64`
82×	`distribute-rgt-out--_binary64`
65×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
57×	`associate-+l-_binary64`
56×	`distribute-rgt-neg-out_binary64`
52×	`+-commutative_binary64`
44×	`pow-plus_binary64`
37×	`associate-+l+_binary64`
35×	`sub0-neg_binary64`
32×	`distribute-neg-out_binary64` `associate-+r-_binary64`
29×	`log-prod_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64`
27×	`cube-unmult_binary64` `div-sub_binary64` `distribute-rgt-in_binary64`
26×	`exp-prod_binary64` `associate--l+_binary64` `associate-+r+_binary64`
23×	`cube-prod_binary64` `+-rgt-identity_binary64`
21×	`distribute-lft-out_binary64` `associate--r+_binary64`
20×	`unpow3_binary64`
19×	`pow-sqr_binary64`
18×	`sin-neg_binary64`
17×	`distribute-lft-out--_binary64` `distribute-lft-in_binary64`
12×	`associate-/l*_binary64`
10×	`log-pow_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`cube-mult_binary64`
7×	`unpow2_binary64` `associate--r-_binary64`
6×	`cos-neg_binary64` `difference-of-squares_binary64`
5×	`associate--l-_binary64`
4×	`unpow1_binary64` `rem-cbrt-cube_binary64` `--rgt-identity_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
3×	`*-lft-identity_binary64`
2×	`unpow1/2_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_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

79 → 30

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1247
1	226	1167
2	509	1146
3	1265	1144
4	2591	1130
5	4477	1130
6	4914	1130

prune114.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	29	14	43

Error

25.3b

Counts

43 → 14

Compiler

Compiled 1854 to 1136 computations (38.7% saved)

regimes6.2s (19.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Compiler

Compiled 149786 to 108864 computations (27.3% saved)

bsearch0.0ms (0%)

simplify12.0ms (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

end30.0ms (0.1%)

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 390 to 290 computations (25.6% saved)

sample14.4s (46.2%)

Algorithm

1×

intervals

Results

9.6s	5310×	body	1024	valid
1.5s	1253×	body	512	valid
1.3s	423×	body	2048	valid
271.0ms	358×	body	256	valid
232.0ms	656×	body	128	valid
3.0ms	2×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 1262 to 941 computations (25.4% 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

analyze7.2s (23.1%)

sample450.0ms (1.4%)

simplify109.0ms (0.3%)

prune5.0ms (0%)

localize35.0ms (0.1%)

rewrite128.0ms (0.4%)

series240.0ms (0.8%)

simplify106.0ms (0.3%)

prune68.0ms (0.2%)

localize39.0ms (0.1%)

rewrite205.0ms (0.7%)

series245.0ms (0.8%)

simplify112.0ms (0.4%)

prune106.0ms (0.3%)

localize42.0ms (0.1%)

rewrite179.0ms (0.6%)

series268.0ms (0.9%)

simplify105.0ms (0.3%)

prune93.0ms (0.3%)

localize49.0ms (0.2%)

rewrite261.0ms (0.8%)

series283.0ms (0.9%)

simplify112.0ms (0.4%)

prune114.0ms (0.4%)

regimes6.2s (19.8%)

bsearch0.0ms (0%)

simplify12.0ms (0%)

end30.0ms (0.1%)

sample14.4s (46.2%)

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