Details

Time bar (total: 5.1s)

analyze869.0ms (16.9%)

Algorithm
search
egg-herbie
Rules
55×associate-/l*_binary64
32×associate-/r/_binary64
31×associate-/r*_binary64
30×associate-*r/_binary64
23×*-commutative_binary64
20×times-frac_binary64 associate-*l/_binary64
18×associate-/l/_binary64
swap-a1-a2 swap-b1-b2
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 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--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
02270
16170
214670
322370
422870
522870
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample32.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms46×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
associate-/r/_binary64 associate-*r/_binary64
*-commutative_binary64
associate-/r*_binary64
times-frac_binary64 associate-/l/_binary64 associate-*l/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 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 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--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
0810
11710
23810
36310
46910
56810
66810

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
10.2b
Counts
1 → 1
Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.9b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64
pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 frac-2neg_binary64 times-frac_binary64 *-un-lft-identity_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 291 to 77 computations (73.5% saved)

series43.0ms (0.8%)

Error
10.2b
Counts
1 → 12
Calls

1 calls:

42.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 175 to 175 computations (0% saved)

simplify89.0ms (1.7%)

Algorithm
egg-herbie
Rules
579×associate-/r*_binary64
393×associate-*l*_binary64
381×associate-*l/_binary64
297×associate-*r/_binary64
271×associate-*r*_binary64
251×div-sub_binary64
204×associate-/l/_binary64
181×times-frac_binary64
141×sub-neg_binary64
132×distribute-rgt-in_binary64
126×*-commutative_binary64
113×associate-/r/_binary64
98×sqr-pow_binary64
97×associate--r+_binary64
89×associate--l+_binary64
87×associate-/l*_binary64
73×distribute-lft-in_binary64
65×unswap-sqr_binary64
55×+-commutative_binary64
47×associate-+l-_binary64 associate-+l+_binary64
42×associate-+r+_binary64
40×distribute-neg-in_binary64
35×neg-mul-1_binary64
34×log-div_binary64 cube-div_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64
31×neg-sub0_binary64 associate--r-_binary64
24×log-prod_binary64
23×unsub-neg_binary64
21×cube-prod_binary64
17×unpow3_binary64 cube-mult_binary64
15×sub0-neg_binary64 pow-sqr_binary64
14×associate-+r-_binary64
12×distribute-lft-neg-in_binary64
11×remove-double-neg_binary64 +-rgt-identity_binary64
10×--rgt-identity_binary64
associate--l-_binary64
exp-prod_binary64 cube-unmult_binary64
distribute-rgt-neg-in_binary64
mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64
exp-diff_binary64 *-lft-identity_binary64 +-lft-identity_binary64
exp-sum_binary64 1-exp_binary64 distribute-rgt-neg-out_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 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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 count-2_binary64
Counts
33 → 11
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054475
1155370
2779370
33457370
43762370
54079370
64763370
75076370

prune7.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New8311
Fresh000
Picked011
Done000
Total8412
Error
0.1b
Counts
12 → 4
Compiler

Compiled 57 to 42 computations (26.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.8b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
6.6b
(*.f64 a2 (/.f64 a1 b1))

rewrite61.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×times-frac_binary64 associate-*r*_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-*l*_binary64 associate-/r*_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r/_binary64 div-inv_binary64
pow-prod-down_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 a2 (/.f64 a1 b1))
5.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 736 to 212 computations (71.2% saved)

series65.0ms (1.3%)

Error
0.1b
Counts
2 → 21
Calls

2 calls:

39.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
24.0ms
(*.f64 a2 (/.f64 a1 b1))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify109.0ms (2.1%)

Algorithm
egg-herbie
Rules
919×times-frac_binary64
527×associate-/l/_binary64
421×associate-*l*_binary64
340×associate-*r*_binary64
297×associate-/r/_binary64
290×associate-/r*_binary64
178×sub-neg_binary64
136×sqr-pow_binary64 *-commutative_binary64
114×associate-/l*_binary64
113×log-div_binary64
112×log-prod_binary64
109×cube-prod_binary64
104×cube-div_binary64
84×associate--l+_binary64
79×associate-*r/_binary64
74×associate-*l/_binary64
73×unsub-neg_binary64
67×*-lft-identity_binary64 associate--l-_binary64
59×neg-mul-1_binary64 neg-sub0_binary64
57×*-rgt-identity_binary64
53×exp-prod_binary64
49×swap-sqr_binary64
46×/-rgt-identity_binary64
36×unpow3_binary64
32×cube-mult_binary64
23×associate--r-_binary64
21×unswap-sqr_binary64
19×log-rec_binary64
18×pow-sqr_binary64 distribute-neg-in_binary64
17×div-sub_binary64 cancel-sign-sub-inv_binary64
15×distribute-rgt-neg-in_binary64 associate-+l+_binary64
14×distribute-neg-frac_binary64 associate-+l-_binary64
13×rem-sqrt-square_binary64
12×distribute-lft-neg-in_binary64 associate-+r-_binary64 associate-+r+_binary64
10×remove-double-neg_binary64
cube-unmult_binary64 distribute-neg-out_binary64
--rgt-identity_binary64 div0_binary64 +-commutative_binary64
unpow1/2_binary64 +-rgt-identity_binary64 +-lft-identity_binary64
mul0-rgt_binary64 mul0-lft_binary64 remove-double-div_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
+-inverses_binary64 distribute-frac-neg_binary64
1-exp_binary64 exp-1-e_binary64 distribute-lft-neg-out_binary64 count-2_binary64 associate--r+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 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 mul-1-neg_binary64 sub0-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-rgt-neg-out_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
Counts
77 → 39
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108929
1263800
21046800
34062800
44579800
54958800
64965800

prune24.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New34539
Fresh112
Picked011
Done011
Total35843
Error
0.0b
Counts
43 → 8
Compiler

Compiled 367 to 151 computations (58.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
4.7b
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))
5.7b
(/.f64 (*.f64 a1 a2) b1)

rewrite208.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
234×times-frac_binary64
104×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
51×add-exp-log_binary64
36×associate-/r*_binary64
31×add-cbrt-cube_binary64
30×div-exp_binary64
23×div-inv_binary64
16×cbrt-undiv_binary64
associate-/l*_binary64
associate-/r/_binary64
prod-exp_binary64
pow1_binary64 1-exp_binary64 rec-exp_binary64
add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64
inv-pow_binary64 pow-flip_binary64
Counts
3 → 205
Calls

3 calls:

10.0ms
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
8.0ms
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))
4.0ms
(/.f64 (*.f64 a1 a2) b1)
Compiler

Compiled 3832 to 1326 computations (65.4% saved)

series114.0ms (2.2%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

43.0ms
(/.f64 b2 (/.f64 (*.f64 a1 a2) b1))
41.0ms
(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
26.0ms
(/.f64 (*.f64 a1 a2) b1)
Compiler

Compiled 571 to 560 computations (1.9% saved)

simplify235.0ms (4.6%)

Algorithm
egg-herbie
Rules
579×*-commutative_binary64
398×sub-neg_binary64
302×associate-/r/_binary64
216×associate--r+_binary64
207×associate--r-_binary64
206×associate-/l/_binary64
188×associate-*l/_binary64
164×associate-/l*_binary64
152×unsub-neg_binary64
149×associate-*r/_binary64
127×cube-prod_binary64
125×associate-/r*_binary64
123×log-prod_binary64 associate--l+_binary64
113×times-frac_binary64
111×exp-prod_binary64
97×swap-sqr_binary64
94×distribute-rgt-in_binary64
89×log-div_binary64 cancel-sign-sub-inv_binary64
81×cube-div_binary64
79×associate-*r*_binary64
75×sqr-pow_binary64
74×distribute-rgt-neg-in_binary64
67×associate-*l*_binary64 associate--l-_binary64
66×div-sub_binary64
64×neg-mul-1_binary64 distribute-lft-neg-in_binary64
60×neg-sub0_binary64
56×associate-+r+_binary64
50×distribute-neg-frac_binary64
48×distribute-neg-in_binary64
47×*-rgt-identity_binary64
43×distribute-lft-in_binary64
38×associate-+r-_binary64
32×unpow3_binary64 cube-mult_binary64
29×rem-sqrt-square_binary64
24×+-commutative_binary64
23×associate-+l+_binary64
19×associate-+l-_binary64
18×*-lft-identity_binary64
17×log-rec_binary64
15×remove-double-div_binary64
13×/-rgt-identity_binary64
12×unswap-sqr_binary64
10×+-rgt-identity_binary64
distribute-lft-neg-out_binary64
cube-unmult_binary64
div0_binary64 distribute-neg-out_binary64
unpow1/2_binary64
remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64
+-lft-identity_binary64 pow-sqr_binary64
distribute-rgt-neg-out_binary64 distribute-rgt-out_binary64
1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_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 *-inverses_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
Counts
238 → 166
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02554668
15804195
222424117
330784117
446144117
549214117
649744117

prune79.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh235
Picked011
Done112
Total1686174
Error
0b
Counts
174 → 6
Compiler

Compiled 1536 to 486 computations (68.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.8b
(/.f64 (*.f64 (*.f64 a1 a2) (/.f64 1 b1)) b2)
5.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 b1))

rewrite74.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
56×add-exp-log_binary64
32×add-cbrt-cube_binary64
24×prod-exp_binary64
17×div-exp_binary64
13×associate-*r*_binary64
12×cbrt-unprod_binary64 times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
cbrt-undiv_binary64
pow1_binary64
1-exp_binary64 rec-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64
add-log-exp_binary64 un-div-inv_binary64 associate-*r/_binary64 div-inv_binary64 associate-/l/_binary64
associate-*l*_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l*_binary64
Counts
2 → 71
Calls

2 calls:

8.0ms
(/.f64 (*.f64 (*.f64 a1 a2) (/.f64 1 b1)) b2)
8.0ms
(*.f64 (*.f64 a1 a2) (/.f64 1 b1))
Compiler

Compiled 1095 to 524 computations (52.1% saved)

series67.0ms (1.3%)

Error
0b
Counts
2 → 21
Calls

2 calls:

42.0ms
(/.f64 (*.f64 (*.f64 a1 a2) (/.f64 1 b1)) b2)
23.0ms
(*.f64 (*.f64 a1 a2) (/.f64 1 b1))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify102.0ms (2%)

Algorithm
egg-herbie
Rules
444×associate-/r*_binary64
435×associate-/r/_binary64
341×*-commutative_binary64
271×sub-neg_binary64
270×unsub-neg_binary64
224×cancel-sign-sub-inv_binary64
178×associate-+r+_binary64
168×distribute-rgt-in_binary64
164×sqr-pow_binary64
157×associate--l+_binary64
152×associate-*l*_binary64
151×associate-/l*_binary64
135×distribute-neg-in_binary64
134×associate-+r-_binary64
129×unswap-sqr_binary64
122×associate-+l-_binary64
108×times-frac_binary64 associate-*r*_binary64
105×cube-div_binary64
104×log-div_binary64
100×associate--l-_binary64
99×cube-prod_binary64
97×neg-mul-1_binary64
93×associate-*r/_binary64
92×swap-sqr_binary64
90×log-prod_binary64 neg-sub0_binary64
81×associate-*l/_binary64
76×associate--r+_binary64
62×exp-prod_binary64
55×associate--r-_binary64
53×associate-/l/_binary64
52×div-sub_binary64
47×/-rgt-identity_binary64
43×associate-+l+_binary64
42×+-commutative_binary64
34×distribute-lft-neg-in_binary64
31×pow-sqr_binary64
30×unpow3_binary64 cube-mult_binary64
29×*-rgt-identity_binary64 distribute-rgt-neg-in_binary64
22×rem-sqrt-square_binary64
20×distribute-neg-frac_binary64
18×distribute-neg-out_binary64
17×*-lft-identity_binary64
14×sub0-neg_binary64
13×log-rec_binary64
12×unpow1/2_binary64
+-rgt-identity_binary64
cube-unmult_binary64
remove-double-neg_binary64 --rgt-identity_binary64 div0_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
distribute-rgt-neg-out_binary64
+-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out--_binary64 distribute-lft-in_binary64
distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64
+-inverses_binary64
exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-div_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
92 → 58
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01221145
1309941
21294941
32701941
43650941
54599941
64949941

prune18.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done022
Total58664
Error
0b
Counts
64 → 6
Compiler

Compiled 322 to 106 computations (67.1% saved)

regimes1.4s (27.1%)

Accuracy

Total 2.8b remaining (99%)

Threshold costs 0b (0%)

Compiler

Compiled 5524 to 4637 computations (16.1% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-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 *-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
033113
136113
235113

end32.0ms (0.6%)

Compiler

Compiled 385 to 145 computations (62.3% saved)

sample1.4s (28%)

Algorithm
intervals
Results
228.0ms8000×body128valid
51.0ms1822×body128invalid
Compiler

Compiled 141 to 109 computations (22.7% saved)

Profiling

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