Details

Time bar (total: 9.0s)

analyze1.4s (16.2%)

Algorithm
search
egg-herbie
Rules
450×div-sub_binary64
335×times-frac_binary64
172×sub-neg_binary64
155×associate-/l*_binary64
135×associate-/l/_binary64
120×associate-/r*_binary64
112×associate-/r/_binary64
93×cancel-sign-sub-inv_binary64
77×unsub-neg_binary64 distribute-rgt-in_binary64
66×distribute-neg-frac_binary64
60×distribute-lft-in_binary64
45×distribute-frac-neg_binary64
41×neg-mul-1_binary64
33×neg-sub0_binary64
29×associate--r+_binary64
26×distribute-rgt-neg-in_binary64
22×distribute-lft-neg-in_binary64 associate-*l/_binary64 *-commutative_binary64
21×+-commutative_binary64
20×mul0-rgt_binary64 associate-*r*_binary64 associate--l-_binary64
19×div0_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 associate-*r/_binary64
18×associate--r-_binary64
16×mul0-lft_binary64
13×sub0-neg_binary64
12×*-lft-identity_binary64
11×associate-+l-_binary64
10×distribute-neg-in_binary64
associate-+l+_binary64
+-lft-identity_binary64 associate-*l*_binary64 associate-+r-_binary64
*-rgt-identity_binary64
/-rgt-identity_binary64 associate-+r+_binary64
+-rgt-identity_binary64
associate--l+_binary64
tan-neg_binary64 sin-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64
1-exp_binary64 mul-1-neg_binary64 *-inverses_binary64 distribute-neg-out_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 cos-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 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 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
33914
46214
510514
619314
737414
861414
998914
10110114
11112414
12109314
13110014
14110214
15110614
16110614
17100514
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample141.0ms (1.6%)

Algorithm
intervals
Results
83.0ms64×body2048valid
28.0ms100×body1024valid
8.0ms43×body512valid
5.0msbody4096valid
4.0ms29×body256valid
1.0ms15×body128valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify78.0ms (0.9%)

Algorithm
egg-herbie
Rules
450×div-sub_binary64
335×times-frac_binary64
172×sub-neg_binary64
155×associate-/l*_binary64
135×associate-/l/_binary64
120×associate-/r*_binary64
112×associate-/r/_binary64
93×cancel-sign-sub-inv_binary64
77×unsub-neg_binary64 distribute-rgt-in_binary64
66×distribute-neg-frac_binary64
60×distribute-lft-in_binary64
45×distribute-frac-neg_binary64
41×neg-mul-1_binary64
33×neg-sub0_binary64
29×associate--r+_binary64
26×distribute-rgt-neg-in_binary64
22×distribute-lft-neg-in_binary64 associate-*l/_binary64 *-commutative_binary64
21×+-commutative_binary64
20×mul0-rgt_binary64 associate-*r*_binary64 associate--l-_binary64
19×div0_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 associate-*r/_binary64
18×associate--r-_binary64
16×mul0-lft_binary64
13×sub0-neg_binary64
12×*-lft-identity_binary64
11×associate-+l-_binary64
10×distribute-neg-in_binary64
associate-+l+_binary64
+-lft-identity_binary64 associate-*l*_binary64 associate-+r-_binary64
*-rgt-identity_binary64
/-rgt-identity_binary64 associate-+r+_binary64
+-rgt-identity_binary64
associate--l+_binary64
tan-neg_binary64 sin-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64
1-exp_binary64 mul-1-neg_binary64 *-inverses_binary64 distribute-neg-out_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 cos-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 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 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
0714
11414
22414
33914
46214
510514
619314
737414
861414
998914
10110114
11112414
12109314
13110014
14110214
15110614
16110614
17100514

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
29.0b
Counts
1 → 1
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))

rewrite95.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
28.0b
Rules
45×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
25×times-frac_binary64
17×add-cube-cbrt_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
cancel-sign-sub-inv_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 associate-/r*_binary64
flip3--_binary64 flip--_binary64
pow1_binary64
diff-log_binary64 sub-neg_binary64 associate-/l/_binary64 associate-/r/_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64
Counts
3 → 84
Calls

3 calls:

8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms
(-.f64 x (sin.f64 x))
3.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 1295 to 257 computations (80.2% saved)

series92.0ms (1%)

Error
0.0b
Counts
3 → 28
Calls

3 calls:

26.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
23.0ms
(-.f64 x (sin.f64 x))
18.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 900 to 603 computations (33% saved)

simplify182.0ms (2%)

Algorithm
egg-herbie
Rules
498×times-frac_binary64
453×associate-*l*_binary64
357×associate-/l*_binary64
183×associate-/r*_binary64
174×distribute-rgt-in_binary64
171×cancel-sign-sub-inv_binary64
147×distribute-lft-in_binary64
129×sub-neg_binary64
114×associate-/l/_binary64
105×associate-*l/_binary64
100×exp-prod_binary64
83×div-sub_binary64
82×distribute-rgt-neg-in_binary64
69×distribute-lft-neg-in_binary64
66×neg-mul-1_binary64
63×+-commutative_binary64
62×neg-sub0_binary64 associate-*r/_binary64
57×unswap-sqr_binary64
51×associate-/r/_binary64
45×*-commutative_binary64
41×associate-*r*_binary64
40×distribute-neg-in_binary64
36×sqr-pow_binary64
34×distribute-neg-frac_binary64
30×associate--r+_binary64
29×exp-sum_binary64 unsub-neg_binary64 associate--l+_binary64
25×associate-+l+_binary64
24×distribute-lft-neg-out_binary64 associate-+r+_binary64
23×cube-unmult_binary64
19×unpow3_binary64
16×distribute-rgt-neg-out_binary64
15×exp-diff_binary64
exp-neg_binary64 cube-prod_binary64 *-rgt-identity_binary64 difference-of-squares_binary64
/-rgt-identity_binary64
pow-plus_binary64 swap-sqr_binary64 distribute-rgt-out_binary64 associate-+r-_binary64
log-div_binary64 log-prod_binary64
pow-base-1_binary64 cube-mult_binary64 +-rgt-identity_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-div_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
unpow-1_binary64 div-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 associate--r-_binary64
1-exp_binary64 *-lft-identity_binary64 distribute-lft-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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_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 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 sub0-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
112 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02082358
15242268
214082256
348692250
449872250
550002250
650002250
749222250

prune30.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446
Error
0.0b
Counts
46 → 4
Compiler

Compiled 593 to 263 computations (55.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 9/40 (*.f64 x x))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

5.0ms
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 204 to 133 computations (34.8% saved)

series9.0ms (0.1%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

8.0ms
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 49 to 49 computations (0% saved)

simplify62.0ms (0.7%)

Algorithm
egg-herbie
Rules
678×associate-/l/_binary64
559×associate-/r/_binary64
350×distribute-rgt-in_binary64
315×distribute-lft-in_binary64
209×*-commutative_binary64
208×log-prod_binary64
180×sqr-pow_binary64
165×associate-*l*_binary64
152×times-frac_binary64
122×unswap-sqr_binary64 associate-*r*_binary64
116×associate-+l+_binary64
114×associate-/l*_binary64
75×pow-sqr_binary64
73×associate-+r+_binary64
58×distribute-rgt-out_binary64
53×exp-prod_binary64
48×associate-/r*_binary64
43×log-div_binary64 cube-prod_binary64
38×associate-*r/_binary64
27×log-pow_binary64
26×distribute-lft-out_binary64
19×count-2_binary64 associate-*l/_binary64
18×unpow3_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
14×cube-mult_binary64
12×swap-sqr_binary64
10×*-rgt-identity_binary64
distribute-rgt1-in_binary64
cube-unmult_binary64
distribute-lft1-in_binary64
/-rgt-identity_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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 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 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-squares_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 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
22 → 11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037225
174189
2173180
3415180
4623180
51002180
61909180
74649180
84846180

prune6.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New11011
Fresh022
Picked011
Done011
Total11415
Error
0.0b
Counts
15 → 4
Compiler

Compiled 88 to 65 computations (26.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
1.9b
(-.f64 x (sin.f64 x))

rewrite100.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
78×add-sqr-sqrt_binary64
62×*-un-lft-identity_binary64
46×associate-*r*_binary64
44×times-frac_binary64
35×sqrt-prod_binary64
28×add-cube-cbrt_binary64
17×difference-of-squares_binary64 distribute-lft-out--_binary64
10×add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64
associate-*l*_binary64
pow1_binary64 flip3--_binary64 flip--_binary64 unswap-sqr_binary64
sqrt-div_binary64
diff-log_binary64 sub-neg_binary64
prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l/_binary64 associate-/r/_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 126
Calls

4 calls:

24.0ms
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))
6.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (sin.f64 x))
3.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 2681 to 430 computations (84% saved)

series82.0ms (0.9%)

Error
0.0b
Counts
4 → 33
Calls

4 calls:

22.0ms
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))
18.0ms
(-.f64 x (tan.f64 x))
12.0ms
(-.f64 x (sin.f64 x))
12.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1359 to 824 computations (39.4% saved)

simplify154.0ms (1.7%)

Algorithm
egg-herbie
Rules
742×times-frac_binary64
626×associate-/l*_binary64
195×associate-/l/_binary64
150×cancel-sign-sub-inv_binary64
135×associate-*l*_binary64
133×distribute-rgt-in_binary64
123×associate-*r*_binary64
116×sub-neg_binary64
115×distribute-lft-in_binary64
88×associate-/r/_binary64 *-commutative_binary64
73×unswap-sqr_binary64
65×exp-prod_binary64 +-commutative_binary64
63×distribute-rgt-neg-in_binary64
56×distribute-lft-neg-in_binary64 associate-*r/_binary64
47×sqr-pow_binary64
45×neg-mul-1_binary64
41×neg-sub0_binary64
38×div-sub_binary64 associate-/r*_binary64
37×*-rgt-identity_binary64
34×distribute-neg-in_binary64
31×associate-*l/_binary64
30×*-lft-identity_binary64
29×associate--l+_binary64
28×associate--r+_binary64
27×exp-sum_binary64 unsub-neg_binary64
26×log-div_binary64 cube-prod_binary64 associate-+l+_binary64
24×associate-+r+_binary64
20×log-prod_binary64
18×cube-unmult_binary64
17×distribute-lft-neg-out_binary64
14×cube-div_binary64
13×/-rgt-identity_binary64 distribute-neg-frac_binary64
12×unpow3_binary64 exp-diff_binary64 swap-sqr_binary64
11×distribute-rgt-neg-out_binary64
difference-of-squares_binary64
log-rec_binary64 associate-+r-_binary64
pow-plus_binary64 rem-sqrt-square_binary64 distribute-rgt-out_binary64
unpow1/2_binary64
unpow2_binary64 unpow1_binary64 cube-mult_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64
div-exp_binary64 rem-3cbrt-lft_binary64 pow-sqr_binary64 distribute-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_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 log-pow_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 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-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64
Counts
159 → 99
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02493327
15973041
218262951
348552948
449932948
549472948

prune37.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103
Error
0.0b
Counts
103 → 4
Compiler

Compiled 1507 to 452 computations (70% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (-.f64 x (sin.f64 x)) 3)
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
23.6b
(cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))

rewrite70.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
16×cbrt-prod_binary64
12×add-cube-cbrt_binary64
10×unpow-prod-down_binary64 cube-prod_binary64
add-log-exp_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 cancel-sign-sub-inv_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 cube-div_binary64 flip--_binary64
pow-unpow_binary64
cbrt-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 diff-log_binary64 sub-neg_binary64
pow1/3_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64
Counts
4 → 88
Calls

4 calls:

5.0ms
(cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))
4.0ms
(pow.f64 (-.f64 x (sin.f64 x)) 3)
4.0ms
(-.f64 x (sin.f64 x))
3.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 1377 to 535 computations (61.1% saved)

series84.0ms (0.9%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

22.0ms
(pow.f64 (-.f64 x (sin.f64 x)) 3)
16.0ms
(-.f64 x (tan.f64 x))
14.0ms
(cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))
12.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1214 to 876 computations (27.8% saved)

simplify113.0ms (1.3%)

Algorithm
egg-herbie
Rules
358×exp-prod_binary64
318×distribute-rgt-in_binary64
302×distribute-lft-in_binary64
280×unswap-sqr_binary64
252×*-commutative_binary64
249×sub-neg_binary64
219×sqr-pow_binary64
209×log-prod_binary64
151×cancel-sign-sub-inv_binary64
132×cube-prod_binary64
117×unsub-neg_binary64
100×unpow3_binary64
96×neg-mul-1_binary64
95×swap-sqr_binary64
93×neg-sub0_binary64
89×+-commutative_binary64
88×exp-sum_binary64
83×associate-+r+_binary64
76×associate-+l+_binary64
75×distribute-rgt-neg-in_binary64
67×distribute-lft-neg-in_binary64
64×associate-*r*_binary64
60×associate-+l-_binary64
57×associate-+r-_binary64
56×associate-*l*_binary64
47×pow-sqr_binary64
45×associate--l+_binary64
40×log-pow_binary64
39×associate--r+_binary64
33×pow-plus_binary64 sub0-neg_binary64
27×cube-mult_binary64
26×+-rgt-identity_binary64 distribute-neg-in_binary64
24×difference-of-squares_binary64
21×distribute-lft-neg-out_binary64
19×cube-unmult_binary64
16×rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64
15×distribute-rgt-out_binary64
14×distribute-rgt-neg-out_binary64
13×associate-/l*_binary64
12×exp-diff_binary64
10×rem-cbrt-cube_binary64
div-sub_binary64 distribute-rgt-out--_binary64
unpow2_binary64 sqr-neg_binary64 associate--l-_binary64
exp-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64
unpow1/2_binary64 unpow1_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
div-exp_binary64 --rgt-identity_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64
1-exp_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 div0_binary64 distribute-neg-frac_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 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 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-lft-identity_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64
Counts
124 → 76
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01931751
14631646
212331634
333811634
447331631
549341631

prune34.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh000
Picked101
Done033
Total76480
Error
0.0b
Counts
80 → 4
Compiler

Compiled 855 to 417 computations (51.2% saved)

regimes214.0ms (2.4%)

Accuracy

Total 0.4b remaining (87.8%)

Threshold costs 0.4b (87.8%)

Compiler

Compiled 1802 to 1120 computations (37.8% saved)

bsearch46.0ms (0.5%)

Steps
ItersRangePoint
8
3.240941784200371e-06
0.20787490931713568
0.004713351902741206
11
-8.532592213301741e+20
-2.881613997879551e-05
-4.504252256196449
Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
*-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
unpow1_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 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 e-exp-1_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
02345
13345
24145
34545
44745
54545

end2.0ms (0%)

Compiler

Compiled 30 to 19 computations (36.7% saved)

sample5.8s (64.9%)

Algorithm
intervals
Results
3.8s2004×body2048valid
1.0s3004×body1024valid
288.0ms1521×body512valid
106.0ms108×body4096valid
96.0ms738×body256valid
51.0ms625×body128valid
Compiler

Compiled 89 to 64 computations (28.1% saved)

Profiling

Loading profile data...