Details

Time bar (total: 2.8s)

analyze376.0ms (13.5%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-/r/_binary64 associate-/l*_binary64
swap-x-y
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
12128
22928
33528
43728
53728
033
133
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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample23.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms25×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r/_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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
4.6b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.4b
(/.f64 (*.f64 x y) z)

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-/r*_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64
Counts
1 → 21
Calls

1 calls:

8.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 214 to 74 computations (65.4% saved)

series26.0ms (0.9%)

Error
4.6b
Counts
1 → 9
Calls

1 calls:

25.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 95 to 95 computations (0% saved)

simplify130.0ms (4.7%)

Algorithm
egg-herbie
Rules
1114×div-sub_binary64
1002×associate-/r/_binary64
543×sub-neg_binary64
355×associate-/l*_binary64
299×*-commutative_binary64
294×times-frac_binary64
280×cancel-sign-sub-inv_binary64
263×unsub-neg_binary64
189×sqr-pow_binary64
184×+-commutative_binary64
176×div0_binary64
163×distribute-neg-in_binary64 associate--l-_binary64
150×associate-/l/_binary64
136×distribute-rgt-in_binary64
133×associate-*l/_binary64
122×associate--l+_binary64
109×associate--r-_binary64
107×associate-*l*_binary64
102×unswap-sqr_binary64
98×associate-*r/_binary64
91×associate-/r*_binary64
90×associate-+l-_binary64
81×pow-sqr_binary64
73×associate-+r-_binary64
58×distribute-rgt-neg-in_binary64 associate-*r*_binary64
57×distribute-lft-in_binary64
54×distribute-lft-neg-in_binary64
50×associate-+l+_binary64
44×neg-mul-1_binary64 neg-sub0_binary64
43×distribute-neg-out_binary64
41×distribute-lft-neg-out_binary64
33×mul0-rgt_binary64 mul0-lft_binary64
30×associate--r+_binary64
26×*-rgt-identity_binary64
23×log-div_binary64
20×log-prod_binary64 swap-sqr_binary64 cancel-sign-sub_binary64
19×distribute-rgt-neg-out_binary64
18×cube-div_binary64 cube-prod_binary64 /-rgt-identity_binary64
17×*-lft-identity_binary64
16×distribute-lft-out--_binary64
15×associate-+r+_binary64
14×distribute-rgt-out_binary64
10×--rgt-identity_binary64
exp-sum_binary64 remove-double-neg_binary64
unpow3_binary64 +-rgt-identity_binary64
exp-prod_binary64 exp-diff_binary64 sub0-neg_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64
cube-unmult_binary64 distribute-neg-frac_binary64 distribute-lft-out_binary64
cube-mult_binary64
log-rec_binary64 distribute-lft1-in_binary64
1-exp_binary64 mul-1-neg_binary64 +-lft-identity_binary64 count-2_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 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-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 +-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 distribute-frac-neg_binary64
Counts
30 → 9
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049306
1115261
2397261
31588261
41967261
52299261
62896261
73453261
83850261
94637261
104671261

prune8.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New549
Fresh000
Picked011
Done000
Total5510
Error
0.1b
Counts
10 → 5
Compiler

Compiled 80 to 49 computations (38.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.4b
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
3.9b
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite93.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-exp-log_binary64
19×add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×cbrt-prod_binary64
10×times-frac_binary64
prod-exp_binary64 div-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64
associate-*r*_binary64
pow1_binary64 associate-/r*_binary64
add-log-exp_binary64
associate-*l*_binary64
unswap-sqr_binary64 associate-*r/_binary64 div-inv_binary64 pow1/3_binary64
pow-prod-down_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
4 → 82
Calls

4 calls:

10.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1489 to 290 computations (80.5% saved)

series152.0ms (5.4%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

82.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
31.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
17.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
Compiler

Compiled 654 to 554 computations (15.3% saved)

simplify107.0ms (3.8%)

Algorithm
egg-herbie
Rules
814×associate-/r/_binary64
299×*-commutative_binary64
237×unswap-sqr_binary64
181×cancel-sign-sub-inv_binary64
169×log-div_binary64
157×log-prod_binary64
145×distribute-rgt-neg-in_binary64
135×sub-neg_binary64
132×cube-prod_binary64
120×associate-/l*_binary64
117×distribute-lft-neg-in_binary64
109×times-frac_binary64
98×sqr-pow_binary64
89×associate-*l*_binary64
81×cube-div_binary64
80×distribute-neg-frac_binary64 associate-/r*_binary64
73×associate-*l/_binary64
72×associate-*r/_binary64
71×distribute-rgt-in_binary64
67×distribute-lft-in_binary64 associate-*r*_binary64
65×exp-prod_binary64
61×swap-sqr_binary64
57×neg-sub0_binary64
54×neg-mul-1_binary64
46×associate-/l/_binary64
37×div-sub_binary64
32×distribute-neg-in_binary64
29×associate--l+_binary64
28×unpow3_binary64
27×/-rgt-identity_binary64
25×cube-mult_binary64 associate-+l-_binary64
23×*-rgt-identity_binary64
22×associate--l-_binary64
21×associate-+l+_binary64
19×unsub-neg_binary64 associate-+r-_binary64
18×*-lft-identity_binary64
17×log-pow_binary64 log-rec_binary64 +-commutative_binary64
15×associate--r+_binary64
14×associate-+r+_binary64
13×cube-unmult_binary64
10×pow-plus_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64
distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64
distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64
+-rgt-identity_binary64
distribute-neg-out_binary64
rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64
mul-1-neg_binary64 div0_binary64
unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 distribute-rgt-out--_binary64 associate--r-_binary64
unpow1_binary64
exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64
Counts
106 → 71
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01311794
13021115
213501115
327021115
449791115
549591115

prune33.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh123
Picked101
Done011
Total70676
Error
0.0b
Counts
76 → 6
Compiler

Compiled 645 to 303 computations (53% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.3b
(*.f64 y (/.f64 x z))

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 y (/.f64 x z))
Compiler

Compiled 359 to 116 computations (67.7% saved)

series25.0ms (0.9%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

24.0ms
(*.f64 y (/.f64 x z))
Compiler

Compiled 95 to 95 computations (0% saved)

simplify121.0ms (4.3%)

Algorithm
egg-herbie
Rules
550×unsub-neg_binary64
443×unswap-sqr_binary64
384×associate-/l/_binary64
375×distribute-rgt-in_binary64
359×distribute-neg-in_binary64
349×sub-neg_binary64
337×sqr-pow_binary64
299×associate--l+_binary64
297×cancel-sign-sub-inv_binary64
286×associate-/r*_binary64
284×associate-/r/_binary64
225×associate-*l*_binary64
201×*-commutative_binary64
196×associate-*r/_binary64
193×associate-*l/_binary64
191×pow-sqr_binary64
172×associate-+l-_binary64
168×associate-/l*_binary64
162×associate-*r*_binary64
110×associate--l-_binary64
109×neg-sub0_binary64
106×neg-mul-1_binary64
93×times-frac_binary64
84×*-rgt-identity_binary64
82×associate-+l+_binary64
80×rem-sqrt-square_binary64 associate--r-_binary64
70×distribute-neg-out_binary64
67×*-lft-identity_binary64
63×associate-+r-_binary64
60×distribute-rgt-neg-in_binary64
58×associate-+r+_binary64
55×distribute-lft-in_binary64
51×distribute-lft-neg-out_binary64
41×distribute-rgt-out--_binary64
35×distribute-lft-neg-in_binary64
32×associate--r+_binary64
26×+-rgt-identity_binary64
25×+-commutative_binary64
24×distribute-rgt-neg-out_binary64
23×remove-double-neg_binary64
22×/-rgt-identity_binary64
19×log-div_binary64 log-prod_binary64
18×exp-prod_binary64 distribute-lft-out--_binary64
16×distribute-rgt-out_binary64
15×cube-div_binary64 cancel-sign-sub_binary64
13×swap-sqr_binary64
12×cube-prod_binary64
sub0-neg_binary64 distribute-lft-out_binary64
unpow3_binary64
unpow1/2_binary64 cube-mult_binary64 distribute-rgt1-in_binary64
cube-unmult_binary64 mul-1-neg_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64
log-rec_binary64 remove-double-div_binary64
+-lft-identity_binary64 +-inverses_binary64
1-exp_binary64 exp-1-e_binary64 count-2_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 unpow2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64
Counts
41 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070435
1160390
2524390
31313390
42188390
52511390
63496390
73853390
84216390
95386390

prune11.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh044
Picked011
Done011
Total21627
Error
0.0b
Counts
27 → 6
Compiler

Compiled 175 to 75 computations (57.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.5b
(/.f64 y (/.f64 z x))

rewrite54.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
75×times-frac_binary64
43×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
13×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/l*_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r/_binary64
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 y (/.f64 z x))
Compiler

Compiled 1004 to 284 computations (71.7% saved)

series25.0ms (0.9%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

24.0ms
(/.f64 y (/.f64 z x))
Compiler

Compiled 95 to 95 computations (0% saved)

simplify202.0ms (7.3%)

Algorithm
egg-herbie
Rules
483×*-commutative_binary64
435×div-sub_binary64
416×sub-neg_binary64
349×associate-/r/_binary64
328×unsub-neg_binary64
320×associate-/l/_binary64
273×associate-/l*_binary64
250×times-frac_binary64
249×sqr-pow_binary64
245×associate-*l/_binary64
241×pow-sqr_binary64
221×associate-/r*_binary64
198×cancel-sign-sub-inv_binary64
171×distribute-neg-in_binary64
168×distribute-rgt-in_binary64
156×associate-*r/_binary64
153×unswap-sqr_binary64
151×associate-*l*_binary64
121×div0_binary64
103×associate--l-_binary64
95×associate-*r*_binary64
94×associate--l+_binary64
83×distribute-lft-in_binary64
77×neg-mul-1_binary64
73×neg-sub0_binary64
69×associate-+l-_binary64
63×distribute-lft-neg-in_binary64
62×associate--r-_binary64
59×distribute-rgt-neg-in_binary64
57×*-rgt-identity_binary64 associate--r+_binary64
52×+-commutative_binary64
49×associate-+l+_binary64
43×mul0-rgt_binary64 mul0-lft_binary64
39×distribute-neg-out_binary64
38×distribute-lft-neg-out_binary64
24×swap-sqr_binary64 associate-+r+_binary64
23×cube-prod_binary64
22×log-prod_binary64
21×log-div_binary64 associate-+r-_binary64
19×*-lft-identity_binary64 remove-double-neg_binary64
18×/-rgt-identity_binary64
17×cube-div_binary64 rem-sqrt-square_binary64 distribute-rgt-neg-out_binary64
13×+-rgt-identity_binary64 distribute-rgt-out--_binary64
12×exp-prod_binary64
11×--rgt-identity_binary64
10×distribute-rgt1-in_binary64
distribute-rgt-out_binary64
sub0-neg_binary64 distribute-lft-out--_binary64
unpow3_binary64
cube-mult_binary64 distribute-lft-out_binary64
exp-sum_binary64 cube-unmult_binary64 distribute-lft1-in_binary64
log-rec_binary64 distribute-neg-frac_binary64
unpow1/2_binary64 exp-diff_binary64 +-lft-identity_binary64 remove-double-div_binary64
1-exp_binary64 exp-1-e_binary64 +-inverses_binary64 count-2_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 unpow2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-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 mul-1-neg_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
79 → 46
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471307
13101247
29111244
321851244
426021244
530961244
637711244
741301244
844831244
949401244
1048301244

prune23.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh123
Picked011
Done112
Total47552
Error
0.0b
Counts
52 → 5
Compiler

Compiled 445 to 118 computations (73.5% saved)

regimes384.0ms (13.8%)

Accuracy

Total 0.2b remaining (90.6%)

Threshold costs 0.2b (90.6%)

Compiler

Compiled 2866 to 1975 computations (31.1% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
/-rgt-identity_binary64 *-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02774
13174
23074

end11.0ms (0.4%)

Compiler

Compiled 153 to 69 computations (54.9% saved)

sample885.0ms (31.8%)

Algorithm
intervals
Results
193.0ms8000×body128valid
17.0ms743×body128invalid
Compiler

Compiled 112 to 88 computations (21.4% saved)

Profiling

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