Details

Time bar (total: 15.9s)

analyze2.7s (16.8%)

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)

sample101.0ms (0.6%)

Algorithm
intervals
Results
19.0ms193×body128valid
12.0ms27×body1024valid
9.0ms28×body512valid
9.0ms89×body128invalid
5.0ms12×body1024invalid
3.0ms11×body512invalid
2.0msbody256invalid
2.0msbody256valid
Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify147.0ms (0.9%)

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
42.2b
Counts
1 → 1
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize17.0ms (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))))
3.9b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
38.2b
(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))))

rewrite680.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
42.2b
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))))
14.0ms
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
5.0ms
(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)

series675.0ms (4.2%)

Error
5.0b
Counts
4 → 62
Calls

4 calls:

442.0ms
(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))))
124.0ms
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
18.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
16.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
Compiler

Compiled 9061 to 6793 computations (25% saved)

simplify211.0ms (1.3%)

Algorithm
egg-herbie
Rules
663×distribute-rgt-in_binary64
656×distribute-lft-in_binary64
234×*-commutative_binary64
162×associate-*r*_binary64
139×associate-*l*_binary64
103×+-commutative_binary64
87×cancel-sign-sub-inv_binary64
53×sub-neg_binary64
51×times-frac_binary64
48×unswap-sqr_binary64
46×distribute-rgt-neg-in_binary64
37×distribute-lft-neg-in_binary64
31×sqr-pow_binary64
28×neg-sub0_binary64
24×neg-mul-1_binary64
23×distribute-rgt-out_binary64
20×swap-sqr_binary64
19×associate-+r+_binary64
17×distribute-neg-in_binary64
11×distribute-lft-out_binary64 associate--l+_binary64
distribute-lft-neg-out_binary64 associate-/r*_binary64
unpow3_binary64 unpow2_binary64 unpow1_binary64 difference-of-squares_binary64
rem-sqrt-square_binary64
exp-prod_binary64 cube-mult_binary64 cube-prod_binary64 associate-*r/_binary64 associate--r+_binary64
log-prod_binary64 associate-/l*_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
197 → 162
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058913125
1149112496
2503612496

prune149.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15210162
Fresh000
Picked101
Done000
Total15310163
Error
14.4b
Counts
163 → 10
Compiler

Compiled 5377 to 2299 computations (57.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))
3.9b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
38.2b
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite230.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
14.4b
Rules
128×associate-*l/_binary64
96×flip3--_binary64 flip--_binary64
66×sqrt-div_binary64
64×frac-times_binary64 frac-add_binary64
32×associate-*r/_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 log-pow_binary64
sqrt-prod_binary64 exp-prod_binary64 log-prod_binary64
pow1/2_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 rem-log-exp_binary64
Counts
4 → 108
Calls

4 calls:

22.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
5.0ms
(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))
5.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
4.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
Compiler

Compiled 8110 to 2626 computations (67.6% saved)

series1.0s (6.5%)

Error
14.4b
Counts
4 → 39
Calls

4 calls:

899.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
32.0ms
(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))
19.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
18.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 12774 to 9941 computations (22.2% saved)

simplify192.0ms (1.2%)

Algorithm
egg-herbie
Rules
655×distribute-rgt-in_binary64
650×distribute-lft-in_binary64
255×*-commutative_binary64
176×associate-*r*_binary64
135×associate-*l*_binary64
96×+-commutative_binary64
69×associate-+l+_binary64
64×cancel-sign-sub-inv_binary64
41×distribute-rgt-neg-in_binary64
40×associate--l+_binary64
36×sub-neg_binary64
33×distribute-lft-neg-in_binary64
32×unswap-sqr_binary64
26×associate--r+_binary64
25×distribute-rgt-out_binary64
24×neg-sub0_binary64
23×sqr-pow_binary64
20×neg-mul-1_binary64
15×associate-+r+_binary64
11×distribute-lft-out_binary64
10×swap-sqr_binary64 distribute-neg-in_binary64
unpow3_binary64 distribute-lft-neg-out_binary64 associate-*r/_binary64
rem-log-exp_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 associate-/l*_binary64
cube-mult_binary64 cube-prod_binary64 associate-*l/_binary64
unpow2_binary64 unpow1_binary64 cube-unmult_binary64 mul-1-neg_binary64
pow-sqr_binary64 distribute-rgt-out--_binary64
log-pow_binary64 log-prod_binary64 exp-prod_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 rem-square-sqrt_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-/r/_binary64 associate-/r*_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 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 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 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 times-frac_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
Counts
147 → 117
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060012034
1136911092
2500611092

prune133.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1152117
Fresh459
Picked011
Done000
Total1198127
Error
14.4b
Counts
127 → 8
Compiler

Compiled 4968 to 2119 computations (57.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
38.2b
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite256.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
14.4b
Rules
128×associate-*l/_binary64
96×flip3--_binary64 flip--_binary64
66×sqrt-div_binary64
64×frac-times_binary64 frac-add_binary64
32×associate-*r/_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sqrt-prod_binary64
pow1/2_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64
Counts
4 → 100
Calls

4 calls:

27.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
7.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
5.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 9503 to 3491 computations (63.3% saved)

series600.0ms (3.8%)

Error
14.4b
Counts
4 → 48
Calls

4 calls:

448.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
29.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
27.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
23.0ms
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
Compiler

Compiled 9136 to 6697 computations (26.7% saved)

simplify265.0ms (1.7%)

Algorithm
egg-herbie
Rules
655×distribute-rgt-in_binary64
648×distribute-lft-in_binary64
239×*-commutative_binary64
158×associate-*r*_binary64
133×associate-*l*_binary64
102×times-frac_binary64 +-commutative_binary64
81×cancel-sign-sub-inv_binary64
52×sub-neg_binary64
44×distribute-rgt-neg-in_binary64
40×unswap-sqr_binary64
35×distribute-lft-neg-in_binary64
29×neg-sub0_binary64
28×sqr-pow_binary64
25×neg-mul-1_binary64
22×distribute-rgt-out_binary64
19×distribute-neg-in_binary64
17×cube-prod_binary64 associate-+r+_binary64
15×swap-sqr_binary64
12×unpow3_binary64
10×cube-mult_binary64 distribute-lft-out_binary64 associate--l+_binary64
distribute-lft-neg-out_binary64 associate-/r*_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 difference-of-squares_binary64 associate--r+_binary64
cube-unmult_binary64 rem-sqrt-square_binary64 associate-*r/_binary64
associate-/l*_binary64
mul-1-neg_binary64
log-prod_binary64 exp-prod_binary64
pow-plus_binary64 pow-sqr_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
log-pow_binary64 1-exp_binary64 rem-3cbrt-lft_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-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 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 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
148 → 106
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057611680
1142911111
2495111071
3506311071

prune111.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh066
Picked101
Done011
Total1068114
Error
14.4b
Counts
114 → 8
Compiler

Compiled 4822 to 2066 computations (57.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
3.9b
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
38.2b
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite317.0ms (2%)

Algorithm
rewrite-expression-head
Error
14.4b
Rules
128×associate-*l/_binary64
96×flip3--_binary64 flip--_binary64
66×sqrt-div_binary64
64×frac-times_binary64 frac-add_binary64
32×associate-*r/_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sqrt-prod_binary64
pow1/2_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64
Counts
4 → 100
Calls

4 calls:

42.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (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))
5.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 11390 to 4712 computations (58.6% saved)

series627.0ms (4%)

Error
14.4b
Counts
4 → 50
Calls

4 calls:

449.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
33.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
33.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
31.0ms
(cos.f64 (/.f64 (+.f64 phi2 phi1) 2))
Compiler

Compiled 10373 to 7469 computations (28% saved)

simplify265.0ms (1.7%)

Algorithm
egg-herbie
Rules
659×distribute-rgt-in_binary64
652×distribute-lft-in_binary64
230×*-commutative_binary64
158×associate-*r*_binary64
132×associate-*l*_binary64
102×+-commutative_binary64
84×cancel-sign-sub-inv_binary64
53×sub-neg_binary64
51×times-frac_binary64
46×distribute-rgt-neg-in_binary64
40×unswap-sqr_binary64
37×distribute-lft-neg-in_binary64
29×neg-sub0_binary64
28×sqr-pow_binary64
25×neg-mul-1_binary64
22×distribute-rgt-out_binary64
19×distribute-neg-in_binary64
17×associate-+r+_binary64
16×swap-sqr_binary64
14×unpow3_binary64
10×distribute-lft-out_binary64 associate--l+_binary64
distribute-lft-neg-out_binary64 associate-/r*_binary64
cube-prod_binary64 difference-of-squares_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 associate--r+_binary64
cube-mult_binary64 rem-sqrt-square_binary64 associate-*r/_binary64
cube-unmult_binary64 associate-/l*_binary64
mul-1-neg_binary64
log-prod_binary64
exp-prod_binary64 pow-sqr_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
log-pow_binary64 1-exp_binary64 rem-3cbrt-lft_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 pow-plus_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-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 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
150 → 104
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056411737
1144211168
2499111168
3499211168

prune101.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh066
Picked011
Done011
Total1048112
Error
14.4b
Counts
112 → 8
Compiler

Compiled 4561 to 1884 computations (58.7% saved)

regimes3.1s (19.3%)

Accuracy

Total 10.0b remaining (44%)

Threshold costs 0b (0%)

Compiler

Compiled 40568 to 28189 computations (30.5% saved)

bsearch307.0ms (1.9%)

Steps
ItersRangePoint
11
4.4547542967802617e-44
1.7453605414814527e-16
2.2078159103029802e-30
9
-2.8040273088420276e-91
-1.5508805436435192e-99
-2.2368391435846272e-98
8
-1.2686853068668803e-65
-3.4995685854042565e-70
-9.748496887418038e-67
7
-0.0007980614389963439
-6.71157690369614e-06
-0.00028256165896540234
5
-754.8969824745751
-291.3655936007626
-318.0908199786162
7
-1.866326397483633e+94
-4.6170042197543183e+92
-4.6714712786393294e+92
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
distribute-lft-neg-out_binary64 distribute-lft-neg-in_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-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060320
183320
2102320
3114320
4121320
5122320
6122320

end56.0ms (0.4%)

Compiler

Compiled 1015 to 620 computations (38.9% saved)

sample3.6s (22.5%)

Algorithm
intervals
Results
614.0ms6100×body128valid
385.0ms789×body1024valid
245.0ms724×body512valid
243.0ms2428×body128invalid
220.0ms475×body1024invalid
122.0ms396×body512invalid
86.0ms381×body256valid
37.0ms175×body256invalid
4.0msbody2048valid
Compiler

Compiled 627 to 450 computations (28.2% saved)

Profiling

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