Details

Time bar (total: 2.3s)

analyze135.0ms (5.9%)

Algorithm
search
egg-herbie
Rules
508×div-sub_binary64
484×times-frac_binary64
291×associate-/l*_binary64
250×cancel-sign-sub-inv_binary64
180×distribute-rgt-in_binary64
170×distribute-lft-in_binary64
169×sub-neg_binary64
140×associate-/r*_binary64
122×distribute-lft-neg-in_binary64
104×distribute-rgt-neg-in_binary64 associate-*r*_binary64
88×unsub-neg_binary64
68×distribute-neg-frac_binary64
56×associate-*r/_binary64
53×distribute-frac-neg_binary64
49×associate-*l*_binary64
48×*-commutative_binary64
43×distribute-rgt-neg-out_binary64
42×associate-*l/_binary64
40×distribute-lft-neg-out_binary64
39×associate-/l/_binary64
32×neg-mul-1_binary64
24×neg-sub0_binary64 associate--r+_binary64
20×associate--l-_binary64 +-commutative_binary64
16×mul0-rgt_binary64 mul0-lft_binary64 associate-/r/_binary64
14×div0_binary64
13×*-lft-identity_binary64
12×/-rgt-identity_binary64
11×associate--r-_binary64
*-rgt-identity_binary64 sub0-neg_binary64
+-lft-identity_binary64 associate-+l-_binary64
associate-+r-_binary64 associate-+r+_binary64
remove-double-neg_binary64 +-rgt-identity_binary64 remove-double-div_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64
*-inverses_binary64 distribute-lft-out--_binary64
1-exp_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 associate--l+_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 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11720
22920
34720
48320
512320
620220
734220
882620
9113520
1088420
1186520
1288720
1386920
1486920
1588120
1690720
1788320
1878220
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify66.0ms (2.9%)

Algorithm
egg-herbie
Rules
365×times-frac_binary64
344×div-sub_binary64
156×associate-/l*_binary64
143×distribute-rgt-in_binary64
129×sub-neg_binary64
124×distribute-lft-in_binary64
118×cancel-sign-sub-inv_binary64
106×associate-/r*_binary64
99×unsub-neg_binary64
62×associate-/r/_binary64
48×associate-/l/_binary64
40×distribute-lft-neg-in_binary64
39×distribute-neg-frac_binary64
36×distribute-rgt-neg-in_binary64
34×distribute-frac-neg_binary64
31×neg-mul-1_binary64
30×associate-*l/_binary64
21×neg-sub0_binary64 associate--r+_binary64
20×associate-*r*_binary64 associate--r-_binary64
19×sub0-neg_binary64 associate--l-_binary64
17×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
16×mul0-rgt_binary64 +-commutative_binary64
13×distribute-neg-in_binary64
12×*-lft-identity_binary64 mul0-lft_binary64
11×associate-*l*_binary64 *-commutative_binary64
10×associate-+l-_binary64
/-rgt-identity_binary64 div0_binary64 associate-+l+_binary64
*-rgt-identity_binary64 +-lft-identity_binary64 associate-+r-_binary64
associate-+r+_binary64
remove-double-neg_binary64 associate-*r/_binary64
+-rgt-identity_binary64
distribute-neg-out_binary64
mul-1-neg_binary64 *-inverses_binary64 remove-double-div_binary64 associate--l+_binary64
1-exp_binary64 --rgt-identity_binary64 distribute-rgt-out_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 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
32910
44910
57510
611110
716310
825110
956910
1068310
1196710
1286610
1387710
1487910
1588310
1688310
1778210

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite46.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/l*_binary64
associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 46
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 578 to 131 computations (77.3% saved)

series38.0ms (1.7%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

31.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 416 to 366 computations (12% saved)

simplify94.0ms (4.2%)

Algorithm
egg-herbie
Rules
610×div-sub_binary64
521×cancel-sign-sub-inv_binary64
355×distribute-rgt-in_binary64
194×distribute-neg-frac_binary64
175×distribute-rgt-neg-in_binary64
167×distribute-lft-neg-in_binary64
164×associate-/l*_binary64
160×times-frac_binary64
135×associate-/r*_binary64
133×sub-neg_binary64
120×unswap-sqr_binary64
105×associate-*l/_binary64
103×distribute-lft-in_binary64
91×distribute-rgt-out_binary64
89×associate-*l*_binary64
88×associate-*r/_binary64
82×associate-*r*_binary64
70×associate-/r/_binary64
68×*-commutative_binary64
67×distribute-rgt-neg-out_binary64
64×neg-sub0_binary64 distribute-rgt-out--_binary64
60×associate-/l/_binary64
59×neg-mul-1_binary64
56×distribute-lft-out_binary64
55×distribute-lft-neg-out_binary64
50×+-commutative_binary64
39×distribute-frac-neg_binary64
37×associate-+l+_binary64
29×cube-prod_binary64 unsub-neg_binary64
28×sqr-pow_binary64
27×distribute-lft-out--_binary64
24×associate-+r+_binary64
23×associate--l+_binary64 associate-+l-_binary64
19×cube-div_binary64
17×unpow3_binary64
16×*-rgt-identity_binary64 associate--r+_binary64
15×cube-unmult_binary64 associate-+r-_binary64
12×distribute-neg-in_binary64
11×sqr-neg_binary64 sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64
cube-mult_binary64 distribute-rgt1-in_binary64
/-rgt-identity_binary64
log-prod_binary64 pow-plus_binary64 exp-diff_binary64
cube-neg_binary64
log-div_binary64 *-lft-identity_binary64 swap-sqr_binary64
exp-sum_binary64 rem-sqrt-square_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 pow-sqr_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
exp-prod_binary64 exp-neg_binary64 1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 *-inverses_binary64 cancel-sign-sub_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_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-neg-out_binary64 count-2_binary64
Counts
70 → 33
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041289
12741229
27041191
322871155
446251155
555401155

prune14.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh000
Picked011
Done000
Total30434
Error
0.0b
Counts
34 → 4
Compiler

Compiled 228 to 106 computations (53.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(cbrt.f64 (-.f64 x y))

rewrite74.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
10×swap-sqr_binary64
pow1/3_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 associate-*r*_binary64
difference-of-squares_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 101
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 x y))
3.0ms
(cbrt.f64 (-.f64 x y))
3.0ms
(cbrt.f64 (-.f64 x y))
Compiler

Compiled 2326 to 364 computations (84.4% saved)

series140.0ms (6.2%)

Error
0.0b
Counts
4 → 39
Calls

4 calls:

51.0ms
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
26.0ms
(cbrt.f64 (-.f64 x y))
25.0ms
(cbrt.f64 (-.f64 x y))
23.0ms
(cbrt.f64 (-.f64 x y))
Compiler

Compiled 2348 to 1607 computations (31.6% saved)

simplify128.0ms (5.7%)

Algorithm
egg-herbie
Rules
403×unswap-sqr_binary64
390×associate-*r*_binary64
383×associate-*l*_binary64
371×cancel-sign-sub-inv_binary64
360×distribute-rgt-neg-in_binary64
354×distribute-lft-neg-in_binary64
206×distribute-rgt-in_binary64
194×distribute-lft-in_binary64
158×*-commutative_binary64
96×sqr-pow_binary64
86×exp-prod_binary64
82×sub-neg_binary64
80×exp-sum_binary64
78×log-prod_binary64
65×neg-sub0_binary64
59×neg-mul-1_binary64
35×swap-sqr_binary64
34×distribute-lft-neg-out_binary64
33×distribute-rgt-neg-out_binary64
27×distribute-rgt-out_binary64
26×unpow3_binary64
24×pow-plus_binary64
23×*-rgt-identity_binary64
22×cube-prod_binary64 *-lft-identity_binary64
21×unsub-neg_binary64
20×exp-diff_binary64 +-commutative_binary64
19×cube-unmult_binary64
17×distribute-lft-out_binary64
15×log-pow_binary64
14×pow-sqr_binary64 associate-+r-_binary64
12×unpow1/3_binary64 associate-+l-_binary64
11×sub0-neg_binary64 distribute-rgt-out--_binary64
10×div-sub_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 distribute-neg-in_binary64
associate-/r*_binary64
exp-to-pow_binary64 rem-sqrt-square_binary64 associate-+l+_binary64
log-div_binary64 associate-+r+_binary64
unpow2_binary64
unpow1/2_binary64 mul-1-neg_binary64
prod-exp_binary64 exp-neg_binary64 distribute-lft-out--_binary64 associate-/l*_binary64 associate--r-_binary64
unpow1_binary64 rem-exp-log_binary64 associate--r+_binary64
log-rec_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 --rgt-identity_binary64 count-2_binary64 associate--l+_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 distribute-frac-neg_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 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_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-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
Counts
140 → 96
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01322216
12832140
27152052
322332033
447801960
549321960

prune38.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh022
Picked011
Done011
Total955100
Error
0b
Counts
100 → 5
Compiler

Compiled 1492 to 404 computations (72.9% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(cbrt.f64 (-.f64 x y))
0.6b
(cbrt.f64 (cbrt.f64 (-.f64 x y)))
0.6b
(cbrt.f64 (cbrt.f64 (-.f64 x y)))

rewrite60.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×cbrt-prod_binary64
18×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
12×cbrt-div_binary64
10×add-cube-cbrt_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
4 → 66
Calls

4 calls:

4.0ms
(cbrt.f64 (cbrt.f64 (-.f64 x y)))
4.0ms
(cbrt.f64 (cbrt.f64 (-.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 x y))
3.0ms
(cbrt.f64 (-.f64 x y))
Compiler

Compiled 2054 to 456 computations (77.8% saved)

series118.0ms (5.2%)

Error
0b
Counts
4 → 30
Calls

4 calls:

29.0ms
(cbrt.f64 (-.f64 x y))
29.0ms
(cbrt.f64 (cbrt.f64 (-.f64 x y)))
26.0ms
(cbrt.f64 (-.f64 x y))
21.0ms
(cbrt.f64 (cbrt.f64 (-.f64 x y)))
Compiler

Compiled 2575 to 1564 computations (39.3% saved)

simplify165.0ms (7.3%)

Algorithm
egg-herbie
Rules
574×associate-*l*_binary64
544×unswap-sqr_binary64
464×associate-*r*_binary64
290×distribute-rgt-neg-in_binary64
235×cancel-sign-sub-inv_binary64
214×div-exp_binary64
170×exp-sum_binary64
149×*-commutative_binary64
138×sqr-pow_binary64
91×sub-neg_binary64
86×pow-plus_binary64
85×exp-prod_binary64 unsub-neg_binary64
84×distribute-rgt-in_binary64
83×distribute-lft-neg-in_binary64
79×distribute-neg-in_binary64
72×distribute-lft-in_binary64
71×div-sub_binary64 neg-sub0_binary64
70×exp-diff_binary64
69×unpow3_binary64 neg-mul-1_binary64
64×prod-exp_binary64
63×distribute-lft-neg-out_binary64
51×distribute-rgt-neg-out_binary64
50×cube-prod_binary64
49×cube-unmult_binary64
37×log-prod_binary64 +-commutative_binary64
36×exp-neg_binary64
35×cube-mult_binary64
26×associate-+r+_binary64
25×pow-sqr_binary64
23×associate-+r-_binary64
22×associate-/r*_binary64
21×exp-to-pow_binary64
19×associate-+l+_binary64
18×swap-sqr_binary64 associate--r+_binary64
16×associate--r-_binary64
15×log-pow_binary64
12×difference-of-squares_binary64
11×unpow1/3_binary64 sub0-neg_binary64 associate-+l-_binary64
10×log-div_binary64 mul0-rgt_binary64 mul0-lft_binary64
+-rgt-identity_binary64 associate-/l/_binary64
rec-exp_binary64
distribute-rgt-out_binary64
pow-base-1_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 associate-/l*_binary64 associate--l+_binary64
unpow2_binary64 cube-div_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate--l-_binary64
unpow1_binary64 rem-3cbrt-lft_binary64 remove-double-neg_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64 count-2_binary64
log-E_binary64 log-rec_binary64 unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-cbrt-cube_binary64 times-frac_binary64 +-lft-identity_binary64 cancel-sign-sub_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 pow-base-0_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r/_binary64 associate-*l/_binary64
Counts
96 → 56
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0921234
11961234
24001234
39521194
427021178
547071178
647681138
749521138
851881138

prune24.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done022
Total56561
Error
0b
Counts
61 → 5
Compiler

Compiled 1006 to 307 computations (69.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 2 (/.f64 y x)) 2)
0.0b
(+.f64 1 (*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2)))
0.1b
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))

rewrite92.0ms (4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
21×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64 *-un-lft-identity_binary64
15×cancel-sign-sub-inv_binary64
13×associate-*l*_binary64
10×times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-+r+_binary64
add-log-exp_binary64
pow1_binary64 sub-neg_binary64
flip3--_binary64 flip--_binary64 associate-*r*_binary64
prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 unswap-sqr_binary64 associate-*r/_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 diff-log_binary64
Counts
3 → 77
Calls

3 calls:

12.0ms
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))
5.0ms
(-.f64 (*.f64 2 (/.f64 y x)) 2)
4.0ms
(+.f64 1 (*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2)))
Compiler

Compiled 1767 to 1026 computations (41.9% saved)

series120.0ms (5.3%)

Error
0b
Counts
3 → 42
Calls

3 calls:

50.0ms
(+.f64 1 (*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2)))
39.0ms
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))
21.0ms
(-.f64 (*.f64 2 (/.f64 y x)) 2)
Compiler

Compiled 883 to 753 computations (14.7% saved)

simplify154.0ms (6.8%)

Algorithm
egg-herbie
Rules
437×associate-*l/_binary64
365×associate-*r/_binary64
271×distribute-rgt-in_binary64
260×distribute-lft-in_binary64
253×*-commutative_binary64
232×associate-/l*_binary64
191×exp-prod_binary64
180×unsub-neg_binary64
172×times-frac_binary64
144×unswap-sqr_binary64
113×associate-/r*_binary64
102×div-sub_binary64
101×associate-*l*_binary64
98×sub-neg_binary64
91×log-div_binary64
88×associate-*r*_binary64
78×cube-prod_binary64
68×log-prod_binary64
65×cube-div_binary64 sqr-pow_binary64
60×*-rgt-identity_binary64
59×*-lft-identity_binary64
58×neg-mul-1_binary64 neg-sub0_binary64
51×exp-sum_binary64
48×exp-diff_binary64 distribute-rgt-neg-in_binary64
46×associate-+l+_binary64
40×cancel-sign-sub-inv_binary64
38×associate-+r+_binary64
34×+-commutative_binary64
33×unpow3_binary64
31×distribute-lft-neg-in_binary64
30×associate-/r/_binary64
26×cube-mult_binary64
24×distribute-rgt-neg-out_binary64
23×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
18×distribute-neg-frac_binary64 associate-+l-_binary64
17×swap-sqr_binary64
16×associate--r+_binary64
14×associate-/l/_binary64
12×rem-sqrt-square_binary64 remove-double-neg_binary64 associate-+r-_binary64
11×log-rec_binary64 prod-exp_binary64 distribute-rgt1-in_binary64
10×/-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64
pow-sqr_binary64
log-pow_binary64 pow-plus_binary64 associate--l+_binary64
unpow1/2_binary64 div-exp_binary64 exp-neg_binary64 +-rgt-identity_binary64
cube-unmult_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out_binary64
exp-lft-sqr_binary64 sub0-neg_binary64 associate--r-_binary64
cube-neg_binary64 sqr-neg_binary64
unpow1_binary64 distribute-lft-out--_binary64
unpow2_binary64 distribute-lft1-in_binary64
rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 *-inverses_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64
Counts
119 → 102
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01412130
13671989
210441974
338651974
445291974
549961974
649781974

prune50.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done033
Total1025107
Error
0b
Counts
107 → 5
Compiler

Compiled 1282 to 707 computations (44.9% saved)

regimes128.0ms (5.7%)

Accuracy

Total 0.0b remaining (72.2%)

Threshold costs 0.0b (72.2%)

Compiler

Compiled 1602 to 921 computations (42.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64 *-commutative_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-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
0814
11114
21614
31814
41914
51914

end1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample529.0ms (23.4%)

Algorithm
intervals
Results
185.0ms8000×body128valid
Compiler

Compiled 103 to 72 computations (30.1% saved)

Profiling

Loading profile data...