Details

Time bar (total: 10.4s)

analyze1.6s (15%)

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)

sample197.0ms (1.9%)

Algorithm
intervals
Results
134.0ms69×body2048valid
33.0ms101×body1024valid
7.0ms39×body512valid
4.0msbody4096valid
4.0ms30×body256valid
1.0ms13×body128valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify82.0ms (0.8%)

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
32.4b
Counts
1 → 1
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.0b
(-.f64 x (sin.f64 x))
1.0b
(-.f64 x (tan.f64 x))

rewrite103.0ms (1%)

Algorithm
rewrite-expression-head
Error
31.5b
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)))
5.0ms
(-.f64 x (tan.f64 x))
4.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1513 to 300 computations (80.2% saved)

series282.0ms (2.7%)

Error
0.0b
Counts
3 → 20
Calls

3 calls:

146.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
79.0ms
(-.f64 x (tan.f64 x))
35.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 768 to 442 computations (42.4% saved)

simplify104.0ms (1%)

Algorithm
egg-herbie
Rules
498×times-frac_binary64
365×associate-*l*_binary64
357×associate-/l*_binary64
350×associate-*r*_binary64
282×div-sub_binary64
183×associate-/r*_binary64
148×distribute-rgt-in_binary64
135×distribute-lft-in_binary64
114×associate-/l/_binary64
101×exp-prod_binary64 associate-*l/_binary64
90×sub-neg_binary64
83×cancel-sign-sub-inv_binary64
63×cube-prod_binary64
61×associate-*r/_binary64
51×unswap-sqr_binary64 associate-/r/_binary64
47×neg-mul-1_binary64
44×+-commutative_binary64
43×neg-sub0_binary64
41×distribute-rgt-neg-in_binary64
34×distribute-neg-frac_binary64
33×*-commutative_binary64
31×distribute-lft-neg-in_binary64
25×exp-sum_binary64 sqr-pow_binary64
22×distribute-lft-neg-out_binary64
19×cube-unmult_binary64 associate--l+_binary64
18×associate-+l+_binary64
16×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
15×exp-diff_binary64 associate-+r+_binary64
14×associate--r+_binary64
12×cube-div_binary64 unsub-neg_binary64
10×unpow3_binary64
*-rgt-identity_binary64 difference-of-squares_binary64
/-rgt-identity_binary64
rem-sqrt-square_binary64 distribute-rgt-out_binary64
pow-plus_binary64
log-div_binary64 cube-mult_binary64 swap-sqr_binary64 associate-+r-_binary64
log-prod_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64
div-exp_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 cancel-sign-sub_binary64 distribute-rgt-out--_binary64 associate--r-_binary64
1-exp_binary64 *-lft-identity_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_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-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
104 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01652155
14082071
210462059
346722053
453882053

prune40.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338
Error
0b
Counts
38 → 3
Compiler

Compiled 688 to 206 computations (70.1% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 9/40 (*.f64 x x))

rewrite21.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
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 231 to 151 computations (34.6% saved)

series40.0ms (0.4%)

Error
0b
Counts
1 → 3
Calls

1 calls:

38.0ms
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify61.0ms (0.6%)

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

prune10.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New11011
Fresh022
Picked011
Done000
Total11314
Error
0b
Counts
14 → 3
Compiler

Compiled 123 to 94 computations (23.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3)
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))
1.0b
(-.f64 x (sin.f64 x))
1.0b
(-.f64 x (tan.f64 x))

rewrite274.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
136×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
100×times-frac_binary64
68×cbrt-prod_binary64
62×unpow-prod-down_binary64 cube-prod_binary64
52×add-cube-cbrt_binary64
42×difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
pow1_binary64
div-inv_binary64
pow-unpow_binary64
diff-log_binary64 sub-neg_binary64 cube-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 pow-exp_binary64 rem-cube-cbrt_binary64
pow1/3_binary64 cbrt-div_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 div-exp_binary64 cbrt-undiv_binary64
Counts
4 → 192
Calls

4 calls:

13.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))
11.0ms
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3)
4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 4777 to 1476 computations (69.1% saved)

series676.0ms (6.5%)

Error
0b
Counts
4 → 30
Calls

4 calls:

377.0ms
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3)
144.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))
75.0ms
(-.f64 x (tan.f64 x))
37.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1664 to 1067 computations (35.9% saved)

simplify169.0ms (1.6%)

Algorithm
egg-herbie
Rules
422×unswap-sqr_binary64
339×distribute-rgt-in_binary64
186×sqr-pow_binary64
123×sub-neg_binary64
112×cancel-sign-sub-inv_binary64
101×associate-*l/_binary64
98×associate-*r/_binary64
95×associate-/l*_binary64
92×cube-div_binary64
88×exp-prod_binary64
86×div-sub_binary64
79×+-commutative_binary64
70×log-prod_binary64 associate-*r*_binary64
64×times-frac_binary64
61×unpow3_binary64
60×cube-mult_binary64
59×associate-*l*_binary64
56×associate-/r*_binary64
54×cube-prod_binary64
48×associate-+r+_binary64
45×log-div_binary64 neg-mul-1_binary64 *-commutative_binary64
44×associate-+l+_binary64
41×neg-sub0_binary64
40×rem-cbrt-cube_binary64
39×associate--l+_binary64
38×swap-sqr_binary64 distribute-neg-frac_binary64
34×distribute-rgt-neg-in_binary64
32×distribute-neg-in_binary64 associate-/l/_binary64
28×distribute-lft-neg-in_binary64
25×associate--r+_binary64
22×distribute-lft-in_binary64
20×unsub-neg_binary64
19×*-rgt-identity_binary64
17×distribute-rgt-out_binary64
16×rem-sqrt-square_binary64 distribute-lft-neg-out_binary64
13×log-pow_binary64 pow-sqr_binary64
10×distribute-rgt-neg-out_binary64
pow-plus_binary64 *-lft-identity_binary64
cube-unmult_binary64 difference-of-squares_binary64
exp-sum_binary64
exp-diff_binary64 rem-square-sqrt_binary64
unpow1/2_binary64 unpow1_binary64 /-rgt-identity_binary64 associate-/r/_binary64 associate-+r-_binary64
unpow2_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64
div-exp_binary64 +-rgt-identity_binary64 distribute-rgt-out--_binary64 distribute-lft-out_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 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 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_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-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
222 → 157
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02966469
18066106
224965869
350255869

prune165.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1570157
Fresh011
Picked011
Done011
Total1573160
Error
0b
Counts
160 → 3
Compiler

Compiled 3381 to 982 computations (71% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (-.f64 x (tan.f64 x)) 3)
1.0b
(-.f64 x (sin.f64 x))
1.0b
(-.f64 x (tan.f64 x))
19.9b
(cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))

rewrite115.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
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 (tan.f64 x)) 3))
5.0ms
(pow.f64 (-.f64 x (tan.f64 x)) 3)
4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 1726 to 667 computations (61.4% saved)

series348.0ms (3.3%)

Error
0b
Counts
4 → 24
Calls

4 calls:

126.0ms
(pow.f64 (-.f64 x (tan.f64 x)) 3)
88.0ms
(cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))
72.0ms
(-.f64 x (tan.f64 x))
38.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 966 to 616 computations (36.2% saved)

simplify58.0ms (0.6%)

Algorithm
egg-herbie
Rules
735×associate-*l*_binary64
726×associate-*r*_binary64
292×distribute-rgt-in_binary64
290×distribute-lft-in_binary64
282×unswap-sqr_binary64
101×associate-/l*_binary64
100×times-frac_binary64
77×sqr-pow_binary64
73×exp-prod_binary64
64×cancel-sign-sub-inv_binary64
55×associate-/r*_binary64
49×log-prod_binary64
44×sub-neg_binary64
41×cube-prod_binary64
33×swap-sqr_binary64 distribute-rgt-neg-in_binary64
32×*-commutative_binary64
29×+-commutative_binary64
28×distribute-lft-neg-in_binary64
26×neg-mul-1_binary64
25×associate-*r/_binary64
24×associate-/r/_binary64
23×neg-sub0_binary64
22×associate-*l/_binary64
19×distribute-lft-neg-out_binary64
15×unpow3_binary64 distribute-neg-frac_binary64
14×cube-mult_binary64 distribute-rgt-neg-out_binary64
12×rem-sqrt-square_binary64
11×pow-sqr_binary64
10×exp-sum_binary64 rem-cbrt-cube_binary64
log-pow_binary64 difference-of-squares_binary64 distribute-rgt-out_binary64
pow-plus_binary64 cube-unmult_binary64
associate--l+_binary64 associate-+l+_binary64
associate-/l/_binary64
unpow1/2_binary64 unpow1_binary64 exp-diff_binary64 unsub-neg_binary64 associate--r+_binary64 associate-+r-_binary64 associate-+r+_binary64
unpow2_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 count-2_binary64
div-exp_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64
1-exp_binary64 rem-cube-cbrt_binary64 div-sub_binary64 mul-1-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 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 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 sqr-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_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-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
112 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531542
13511461
29211432
353601432

prune59.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367
Error
0b
Counts
67 → 3
Compiler

Compiled 1121 to 396 computations (64.7% saved)

regimes85.0ms (0.8%)

Accuracy

Total 0.0b remaining (22.7%)

Threshold costs 0.0b (22.7%)

Compiler

Compiled 347 to 249 computations (28.2% saved)

bsearch64.0ms (0.6%)

Steps
ItersRangePoint
10
1.2857539431102816e-11
6144.946073805667
0.0052557635685630405
11
-190920778791981.22
-4.185444318729032e-13
-0.005137247043410793
Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 unpow1_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
02558
13358
24058
34458
44658
54558

end0.0ms (0%)

sample5.9s (56.2%)

Algorithm
intervals
Results
3.8s1999×body2048valid
1.0s3041×body1024valid
290.0ms1505×body512valid
108.0ms112×body4096valid
100.0ms721×body256valid
48.0ms622×body128valid
Compiler

Compiled 190 to 131 computations (31.1% saved)

Profiling

Loading profile data...