Details

Time bar (total: 21.0s)

analyze2.7s (13%)

Algorithm
search
egg-herbie
Rules
993×distribute-rgt-in_binary64
984×distribute-lft-in_binary64
454×associate-+l+_binary64
228×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
154×associate-*l*_binary64
124×associate-*r*_binary64
113×*-commutative_binary64
86×unsub-neg_binary64
68×neg-sub0_binary64
53×sub-neg_binary64
35×neg-mul-1_binary64
33×distribute-rgt-neg-in_binary64
32×+-commutative_binary64
31×swap-sqr_binary64
25×distribute-lft-neg-in_binary64
22×associate-+r+_binary64
16×associate--r+_binary64
14×sub0-neg_binary64 associate-+l-_binary64 associate-+r-_binary64
associate--r-_binary64
distribute-rgt-out_binary64
sqr-neg_binary64 +-rgt-identity_binary64
swap-lambda1-lambda2 swap-phi1-phi2
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 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 1-exp_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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_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 associate--l-_binary64 associate--l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108539
1226539
2562539
31615539
45562539
055
155
Search
TrueOtherFalseIter
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
0.8%99%0.2%11
4.7%95.1%0.2%12
5.9%93.2%0.8%13
8.5%90.2%1.3%14
Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 33 to 22 computations (33.3% saved)

sample111.0ms (0.5%)

Algorithm
intervals
Results
20.0ms196×body128valid
14.0ms25×body512valid
11.0ms24×body1024valid
11.0ms23×body1024invalid
9.0ms91×body128invalid
5.0ms16×body512invalid
3.0ms11×body256valid
0.0msbody256invalid
Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify135.0ms (0.6%)

Algorithm
egg-herbie
Rules
1409×unsub-neg_binary64
864×distribute-neg-out_binary64
607×neg-sub0_binary64
531×neg-mul-1_binary64
472×distribute-neg-in_binary64
439×sub-neg_binary64
422×distribute-rgt-in_binary64
401×distribute-lft-neg-out_binary64
368×distribute-rgt-neg-out_binary64
334×distribute-rgt-out--_binary64 distribute-rgt-out_binary64
332×associate-+l-_binary64
302×distribute-lft-in_binary64
242×distribute-rgt-neg-in_binary64
236×remove-double-neg_binary64
231×associate-*l*_binary64
209×distribute-lft-neg-in_binary64
159×associate-+l+_binary64
154×associate-+r+_binary64
152×sub0-neg_binary64
150×distribute-lft-out_binary64
142×associate--r+_binary64
136×associate--l+_binary64
126×associate-*r*_binary64
111×mul-1-neg_binary64
77×distribute-lft-out--_binary64
71×cancel-sign-sub-inv_binary64
49×+-commutative_binary64
47×*-commutative_binary64
25×--rgt-identity_binary64
22×swap-sqr_binary64
21×+-rgt-identity_binary64
20×*-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
17×associate--l-_binary64
13×distribute-rgt1-in_binary64
12×*-rgt-identity_binary64
11×sqr-neg_binary64
10×cancel-sign-sub_binary64 associate--r-_binary64
+-lft-identity_binary64
associate-+r-_binary64
unswap-sqr_binary64
count-2_binary64 associate-/r/_binary64 associate-/l*_binary64
div-sub_binary64 distribute-frac-neg_binary64 associate-/r*_binary64
cos-neg_binary64 1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_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 distribute-neg-frac_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
13349
27649
320449
456849
5142349
6346449
7353449
8395149
9409449
10414949
11418449
12496049

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
36.9b
Counts
1 → 1
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
4.7b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
4.7b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
33.7b
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite369.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
36.9b
Rules
142×associate-*l/_binary64
102×flip3--_binary64 flip--_binary64
68×frac-times_binary64
66×sqrt-div_binary64
64×frac-add_binary64
44×pow1_binary64
34×associate-*r/_binary64
17×pow-prod-down_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
prod-exp_binary64 cbrt-unprod_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 pow-prod-up_binary64 pow-sqr_binary64
sqrt-prod_binary64
pow-plus_binary64
pow1/2_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 pow2_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 135
Calls

4 calls:

19.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
13.0ms
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
9.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
Compiler

Compiled 8744 to 2698 computations (69.1% saved)

series1.3s (6.3%)

Error
4.8b
Counts
4 → 76
Calls

4 calls:

986.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
149.0ms
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
27.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
24.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
Compiler

Compiled 16521 to 12587 computations (23.8% saved)

simplify253.0ms (1.2%)

Algorithm
egg-herbie
Rules
671×distribute-rgt-in_binary64
662×distribute-lft-in_binary64
337×*-commutative_binary64
225×associate-*r*_binary64
157×associate-*l*_binary64
148×+-commutative_binary64
117×cancel-sign-sub-inv_binary64
83×sub-neg_binary64
78×times-frac_binary64
65×unswap-sqr_binary64
52×distribute-rgt-neg-in_binary64
51×associate-+r+_binary64
43×distribute-lft-neg-in_binary64
41×distribute-rgt-out_binary64
40×sqr-pow_binary64
38×neg-sub0_binary64 distribute-neg-in_binary64
34×neg-mul-1_binary64
20×swap-sqr_binary64
17×associate--l+_binary64
14×distribute-lft-out_binary64 associate--r+_binary64
12×associate-/r*_binary64
11×associate-/l*_binary64
10×unpow3_binary64 associate-*r/_binary64
unpow2_binary64 unpow1_binary64 distribute-lft-neg-out_binary64
cube-mult_binary64 difference-of-squares_binary64
rem-sqrt-square_binary64
exp-prod_binary64 cube-prod_binary64
log-prod_binary64
mul-1-neg_binary64
cube-unmult_binary64
pow-sqr_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-+l+_binary64
pow-plus_binary64 1-exp_binary64 rem-square-sqrt_binary64 associate-+r-_binary64
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 unpow1/2_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 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-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 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-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
211 → 176
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076716225
1210114937
2591314937

prune204.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New16610176
Fresh000
Picked101
Done000
Total16710177
Error
7.8b
Counts
177 → 10
Compiler

Compiled 7441 to 3492 computations (53.1% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.7b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
4.7b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
34.7b
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
34.7b
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite176.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
7.8b
Rules
20×associate-*r/_binary64 cbrt-div_binary64
16×cos-mult_binary64 frac-add_binary64
12×flip3--_binary64 flip--_binary64
frac-times_binary64
add-cube-cbrt_binary64 cbrt-prod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l/_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
Counts
4 → 56
Calls

4 calls:

15.0ms
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
13.0ms
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
5.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
5.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 5066 to 2318 computations (54.2% saved)

series2.0s (9.4%)

Error
7.8b
Counts
4 → 64
Calls

4 calls:

914.0ms
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
871.0ms
(cbrt.f64 (+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
30.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
29.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 21212 to 15629 computations (26.3% saved)

simplify220.0ms (1%)

Algorithm
egg-herbie
Rules
630×times-frac_binary64
408×associate-*r*_binary64
315×associate-*l*_binary64
288×*-commutative_binary64
158×distribute-rgt-in_binary64
155×distribute-lft-in_binary64
153×sub-neg_binary64
113×sqr-pow_binary64
103×neg-mul-1_binary64 neg-sub0_binary64
102×+-commutative_binary64
93×cancel-sign-sub-inv_binary64
55×distribute-rgt-neg-in_binary64
51×distribute-lft-neg-in_binary64
45×associate-/l*_binary64 associate--l+_binary64
40×associate-+l+_binary64
34×associate-/r*_binary64
31×associate-*r/_binary64
30×associate--r+_binary64
29×unsub-neg_binary64
27×associate-+r+_binary64
22×associate-*l/_binary64
18×exp-sum_binary64 unswap-sqr_binary64
17×unpow1/3_binary64 cube-prod_binary64
16×unpow3_binary64 distribute-rgt-out_binary64
14×distribute-neg-in_binary64
12×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-prod_binary64
pow-sqr_binary64
log-prod_binary64 associate-/r/_binary64
log-pow_binary64 cube-mult_binary64 remove-double-neg_binary64
distribute-lft-neg-out_binary64
cube-unmult_binary64 distribute-neg-frac_binary64
log-div_binary64 pow-plus_binary64 exp-diff_binary64 div-sub_binary64 swap-sqr_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
difference-of-squares_binary64
log-rec_binary64 *-rgt-identity_binary64 cancel-sign-sub_binary64 distribute-rgt-out--_binary64
cos-0_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 *-lft-identity_binary64 +-inverses_binary64 count-2_binary64 associate-+l-_binary64 associate-+r-_binary64
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 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 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
120 → 76
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03338196
110127408
236007278
349817278
449427278

prune158.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh099
Picked101
Done000
Total761086
Error
7.8b
Counts
86 → 10
Compiler

Compiled 6237 to 3408 computations (45.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.7b
(*.f64 R (-.f64 (+.f64 phi2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)) (+.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1))) phi1)))
7.0b
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1)
7.6b
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)
8.5b
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1)

rewrite320.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
7.8b
Rules
69×add-exp-log_binary64
33×add-cbrt-cube_binary64
28×prod-exp_binary64
21×div-exp_binary64
19×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64
10×cbrt-unprod_binary64
cbrt-undiv_binary64 times-frac_binary64 associate-/r*_binary64
pow1_binary64 pow-to-exp_binary64 pow-exp_binary64 cancel-sign-sub-inv_binary64 associate-*r/_binary64 associate-*r*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
add-log-exp_binary64 flip3-+_binary64 frac-sub_binary64 flip-+_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-*l*_binary64
sub-neg_binary64 associate--l+_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out_binary64 *-commutative_binary64
Counts
4 → 118
Calls

4 calls:

29.0ms
(*.f64 R (-.f64 (+.f64 phi2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)) (+.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1))) phi1)))
10.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1)
9.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1)
8.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)
Compiler

Compiled 8432 to 4592 computations (45.5% saved)

series912.0ms (4.3%)

Error
4.8b
Counts
4 → 65
Calls

4 calls:

613.0ms
(*.f64 R (-.f64 (+.f64 phi2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)) (+.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1))) phi1)))
99.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda1)) phi1)
69.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda2 lambda2)) phi1)
67.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) (*.f64 lambda1 lambda1)) phi1)
Compiler

Compiled 8099 to 5819 computations (28.2% saved)

simplify162.0ms (0.8%)

Algorithm
egg-herbie
Rules
679×associate-*r*_binary64
550×associate-*l*_binary64
301×associate-/l*_binary64
216×times-frac_binary64
154×*-commutative_binary64
139×distribute-rgt-in_binary64
126×distribute-lft-in_binary64
120×associate-/r*_binary64
113×associate-*l/_binary64
103×associate-*r/_binary64
95×sub-neg_binary64
74×cancel-sign-sub-inv_binary64
68×+-commutative_binary64
63×associate-/r/_binary64
46×associate-/l/_binary64
45×distribute-rgt-neg-in_binary64
43×neg-mul-1_binary64 neg-sub0_binary64
41×distribute-neg-in_binary64
36×associate-+r+_binary64
32×distribute-lft-neg-in_binary64
27×sqr-pow_binary64
24×associate--l+_binary64
23×unswap-sqr_binary64
19×swap-sqr_binary64
18×distribute-lft-out_binary64
17×associate--r+_binary64
16×log-prod_binary64
14×distribute-neg-frac_binary64 distribute-lft-neg-out_binary64
13×log-div_binary64
11×cube-unmult_binary64 distribute-rgt-out_binary64
unpow3_binary64
cube-mult_binary64
unpow2_binary64 unpow1_binary64 distribute-rgt-neg-out_binary64
cube-div_binary64
exp-prod_binary64 cube-prod_binary64 /-rgt-identity_binary64 difference-of-squares_binary64
pow-sqr_binary64 distribute-rgt-out--_binary64
pow-plus_binary64 div-sub_binary64 count-2_binary64 associate-+r-_binary64
log-pow_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 unsub-neg_binary64 mul-1-neg_binary64 *-rgt-identity_binary64
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-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow1/2_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-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
183 → 165
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04579441
113268660
250878660

prune203.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh099
Picked101
Done000
Total16411175
Error
5.3b
Counts
175 → 11
Compiler

Compiled 6852 to 3850 computations (43.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)
3.6b
(*.f64 R (-.f64 phi2 (+.f64 phi1 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)))))
4.7b
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
7.0b
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)

rewrite164.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
5.3b
Rules
28×add-exp-log_binary64
16×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
14×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
10×prod-exp_binary64
pow1_binary64 div-exp_binary64
cancel-sign-sub-inv_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r*_binary64
add-log-exp_binary64 cbrt-unprod_binary64
pow-to-exp_binary64 pow-exp_binary64 cbrt-undiv_binary64 times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64 unpow-prod-down_binary64 pow-unpow_binary64
cos-sum_binary64 sub-neg_binary64 associate-*r/_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64 pow-pow_binary64 unpow2_binary64 sqr-pow_binary64
Counts
4 → 84
Calls

4 calls:

12.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)
9.0ms
(*.f64 R (-.f64 phi2 (+.f64 phi1 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)))))
3.0ms
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)
3.0ms
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
Compiler

Compiled 2703 to 1557 computations (42.4% saved)

series327.0ms (1.6%)

Error
4.8b
Counts
4 → 46
Calls

4 calls:

199.0ms
(*.f64 R (-.f64 phi2 (+.f64 phi1 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)))))
57.0ms
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 lambda1)) phi1)
20.0ms
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)
16.0ms
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
Compiler

Compiled 2570 to 2143 computations (16.6% saved)

simplify134.0ms (0.6%)

Algorithm
egg-herbie
Rules
830×times-frac_binary64
304×distribute-rgt-in_binary64
257×associate-*r*_binary64
220×associate-*l*_binary64
149×*-commutative_binary64
126×unswap-sqr_binary64
99×associate-/l*_binary64
89×cancel-sign-sub-inv_binary64
88×log-prod_binary64
87×sub-neg_binary64
71×distribute-rgt-neg-in_binary64
60×distribute-lft-neg-in_binary64
55×sqr-pow_binary64
49×+-commutative_binary64
48×distribute-neg-frac_binary64
46×neg-sub0_binary64 associate-*l/_binary64
44×distribute-rgt-out_binary64
42×neg-mul-1_binary64 distribute-neg-in_binary64
40×associate-*r/_binary64
37×*-rgt-identity_binary64 distribute-lft-in_binary64
34×associate-/r*_binary64
32×log-div_binary64
28×distribute-rgt-neg-out_binary64
27×distribute-lft-neg-out_binary64 associate--l+_binary64
24×*-lft-identity_binary64
22×unsub-neg_binary64
21×associate-/r/_binary64
19×associate--r+_binary64
18×cube-prod_binary64 associate-+l+_binary64 associate-+r+_binary64
17×associate-/l/_binary64
16×exp-prod_binary64
15×distribute-lft-out_binary64
14×cube-div_binary64 swap-sqr_binary64
13×log-pow_binary64
11×cube-unmult_binary64 pow-sqr_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64
pow-plus_binary64
exp-sum_binary64 div-sub_binary64
log-rec_binary64 exp-diff_binary64 mul-1-neg_binary64 distribute-rgt-out--_binary64
rem-sqrt-square_binary64 difference-of-squares_binary64 associate-+r-_binary64
unpow3_binary64 cube-mult_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sub0-neg_binary64 +-rgt-identity_binary64 count-2_binary64 associate-+l-_binary64
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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64
Counts
130 → 104
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02523566
16003210
220603148
348923140
449763140

prune99.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1031104
Fresh01010
Picked101
Done000
Total10411115
Error
5.3b
Counts
115 → 11
Compiler

Compiled 1878 to 1082 computations (42.4% saved)

regimes7.4s (35%)

Accuracy

Total 14.6b remaining (75.1%)

Threshold costs 0b (0%)

Compiler

Compiled 75908 to 56588 computations (25.5% saved)

bsearch13.0ms (0.1%)

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64 *-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
if-if-or-not_binary64
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_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027166
141166
252166
358166
461166
561166

end45.0ms (0.2%)

Remove

(sort lambda1 lambda2)

Compiler

Compiled 756 to 378 computations (50% saved)

sample3.5s (16.9%)

Algorithm
intervals
Results
639.0ms6035×body128valid
375.0ms781×body1024valid
276.0ms2529×body128invalid
268.0ms772×body512valid
229.0ms473×body1024invalid
120.0ms366×body512invalid
104.0ms407×body256valid
40.0ms154×body256invalid
4.0msbody2048valid
Compiler

Compiled 797 to 565 computations (29.1% saved)

Profiling

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