Details

Time bar (total: 7.1s)

analyze848.0ms (11.9%)

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)

sample34.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms47×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify10.0ms (0.1%)

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
11.6b
Counts
1 → 1
Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite34.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
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)

series41.0ms (0.6%)

Error
11.6b
Counts
1 → 12
Calls

1 calls:

40.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 175 to 175 computations (0% saved)

simplify89.0ms (1.2%)

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:

4.4b
(/.f64 b1 (/.f64 a2 b2))
7.6b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite301.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64
229×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
57×associate-/r*_binary64
22×div-inv_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
div-exp_binary64 cbrt-undiv_binary64
associate-/r/_binary64 associate-/l*_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 5185 to 1256 computations (75.8% saved)

series65.0ms (0.9%)

Error
0.1b
Counts
2 → 21
Calls

2 calls:

41.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
23.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify309.0ms (4.3%)

Algorithm
egg-herbie
Rules
563×associate-/r/_binary64
414×associate-/l/_binary64
381×associate-*l/_binary64
332×associate-*r/_binary64
323×*-commutative_binary64
297×sub-neg_binary64
242×associate-/r*_binary64
168×associate-/l*_binary64
164×div-sub_binary64
111×associate-*r*_binary64
101×*-rgt-identity_binary64
98×times-frac_binary64
97×sqr-pow_binary64
74×associate--r+_binary64
73×unsub-neg_binary64
71×associate-+l-_binary64
68×neg-mul-1_binary64 associate--l-_binary64
63×associate--r-_binary64
59×associate-+r-_binary64
57×associate--l+_binary64
55×neg-sub0_binary64
54×log-div_binary64 associate-*l*_binary64
49×cube-prod_binary64
47×log-prod_binary64
43×associate-+r+_binary64
41×cube-div_binary64
39×associate-+l+_binary64
38×swap-sqr_binary64
35×exp-prod_binary64 cancel-sign-sub-inv_binary64
28×distribute-rgt-in_binary64
26×unswap-sqr_binary64
23×distribute-neg-in_binary64 distribute-lft-neg-in_binary64 +-commutative_binary64
22×distribute-rgt-neg-in_binary64
21×*-lft-identity_binary64
20×sub0-neg_binary64 remove-double-div_binary64
17×unpow3_binary64 cube-mult_binary64 distribute-neg-frac_binary64
15×/-rgt-identity_binary64
13×--rgt-identity_binary64 pow-sqr_binary64
11×+-rgt-identity_binary64
log-rec_binary64 unpow1/2_binary64 distribute-lft-in_binary64
cube-unmult_binary64
div0_binary64
remove-double-neg_binary64
distribute-lft-neg-out_binary64
exp-diff_binary64 exp-sum_binary64
+-lft-identity_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_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 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
287 → 207
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04486532
19866310
237046307
336376307
445386307
546646307
649776307

prune165.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2016207
Fresh112
Picked011
Done011
Total2029211
Error
0b
Counts
211 → 9
Compiler

Compiled 3062 to 629 computations (79.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.7b
(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))
5.4b
(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))
5.5b
(*.f64 a1 (/.f64 a2 b2))

rewrite128.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
51×add-exp-log_binary64
49×times-frac_binary64
35×add-sqr-sqrt_binary64
31×add-cbrt-cube_binary64
30×add-cube-cbrt_binary64 *-un-lft-identity_binary64
25×div-exp_binary64
13×cbrt-undiv_binary64 associate-*r*_binary64
10×prod-exp_binary64
associate-/r*_binary64
div-inv_binary64
pow1_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-/l*_binary64
1-exp_binary64 rec-exp_binary64
add-log-exp_binary64 associate-*l*_binary64
unswap-sqr_binary64 frac-2neg_binary64 clear-num_binary64
pow-prod-down_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 120
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))
7.0ms
(*.f64 a1 (/.f64 a2 b2))
6.0ms
(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))
Compiler

Compiled 1885 to 673 computations (64.3% saved)

series110.0ms (1.5%)

Error
0b
Counts
3 → 33
Calls

3 calls:

42.0ms
(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))
41.0ms
(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))
25.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 571 to 560 computations (1.9% saved)

simplify193.0ms (2.7%)

Algorithm
egg-herbie
Rules
479×sub-neg_binary64
431×sqr-pow_binary64
403×unsub-neg_binary64
378×*-commutative_binary64
273×distribute-rgt-in_binary64
231×associate--r+_binary64
206×cancel-sign-sub-inv_binary64
205×associate--r-_binary64
203×distribute-lft-in_binary64
176×distribute-neg-in_binary64
161×div-sub_binary64
158×associate-+r-_binary64
136×pow-sqr_binary64
118×associate-/l*_binary64
117×associate-+l+_binary64
115×associate-/r/_binary64
112×associate-*r/_binary64
107×neg-mul-1_binary64
101×associate-*l/_binary64
98×associate-/r*_binary64
97×neg-sub0_binary64
94×unswap-sqr_binary64
90×log-div_binary64 associate-*r*_binary64
89×times-frac_binary64 swap-sqr_binary64
88×log-prod_binary64
86×cube-prod_binary64
84×associate--l+_binary64
83×exp-prod_binary64
82×cube-div_binary64
81×associate-*l*_binary64
76×*-rgt-identity_binary64
69×associate-/l/_binary64 associate-+l-_binary64
62×distribute-rgt-neg-in_binary64
59×*-lft-identity_binary64
54×associate-+r+_binary64
52×div0_binary64 distribute-lft-neg-in_binary64
50×associate--l-_binary64
45×distribute-neg-frac_binary64
43×rem-sqrt-square_binary64 +-commutative_binary64
30×unpow3_binary64 cube-mult_binary64
21×/-rgt-identity_binary64
20×log-rec_binary64
16×sub0-neg_binary64
15×+-rgt-identity_binary64
14×distribute-lft-neg-out_binary64
13×remove-double-neg_binary64 distribute-neg-out_binary64
12×--rgt-identity_binary64
11×mul0-rgt_binary64 mul0-lft_binary64
cube-unmult_binary64 +-lft-identity_binary64
unpow1/2_binary64 exp-diff_binary64 exp-sum_binary64 distribute-rgt-out_binary64
distribute-rgt-out--_binary64 distribute-lft-out_binary64
distribute-rgt-neg-out_binary64
remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
distribute-frac-neg_binary64 distribute-lft-out--_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
Counts
153 → 117
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712289
13831936
215301915
322511915
434951915
545431915
646931915
749041915
854301915

prune54.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1143117
Fresh336
Picked011
Done022
Total1179126
Error
0b
Counts
126 → 9
Compiler

Compiled 837 to 325 computations (61.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.5b
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
6.0b
(/.f64 (*.f64 a1 a2) b2)

rewrite76.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
46×add-exp-log_binary64
28×add-cbrt-cube_binary64
20×add-sqr-sqrt_binary64
17×prod-exp_binary64 times-frac_binary64
16×div-exp_binary64
14×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64 associate-*l*_binary64
cbrt-undiv_binary64 cbrt-unprod_binary64
associate-*r*_binary64
pow1_binary64
div-inv_binary64 associate-/r*_binary64 1-exp_binary64 rec-exp_binary64 unswap-sqr_binary64
add-log-exp_binary64
frac-2neg_binary64 clear-num_binary64 associate-/l*_binary64 pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
2 → 74
Calls

2 calls:

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

Compiled 1165 to 472 computations (59.5% saved)

series70.0ms (1%)

Error
0b
Counts
2 → 21
Calls

2 calls:

44.0ms
(*.f64 (/.f64 1 b1) (/.f64 (*.f64 a1 a2) b2))
25.0ms
(/.f64 (*.f64 a1 a2) b2)
Compiler

Compiled 346 to 341 computations (1.4% saved)

simplify92.0ms (1.3%)

Algorithm
egg-herbie
Rules
911×times-frac_binary64
430×associate-/l/_binary64
289×associate-/r*_binary64
262×*-commutative_binary64
249×associate-/r/_binary64
232×sub-neg_binary64
170×sqr-pow_binary64
141×cube-prod_binary64
133×log-prod_binary64
130×log-div_binary64
127×associate-*r*_binary64
126×unsub-neg_binary64
121×associate-*l/_binary64
116×cube-div_binary64 associate-*r/_binary64
112×associate--l+_binary64
106×associate-/l*_binary64
105×associate-*l*_binary64
89×associate--r-_binary64
86×associate--l-_binary64
67×exp-prod_binary64
62×swap-sqr_binary64
52×distribute-neg-in_binary64
47×neg-mul-1_binary64
45×*-rgt-identity_binary64
43×associate-+l-_binary64
42×unpow3_binary64 neg-sub0_binary64 *-lft-identity_binary64
40×associate-+l+_binary64 associate-+r+_binary64
38×cube-mult_binary64
35×/-rgt-identity_binary64 associate-+r-_binary64
32×unswap-sqr_binary64
27×distribute-rgt-in_binary64
25×cancel-sign-sub-inv_binary64
24×pow-sqr_binary64
22×+-commutative_binary64
20×log-rec_binary64
18×associate--r+_binary64
12×+-rgt-identity_binary64
11×remove-double-neg_binary64 distribute-lft-in_binary64
10×distribute-rgt-neg-in_binary64
cube-unmult_binary64 distribute-lft-neg-in_binary64
--rgt-identity_binary64 distribute-neg-frac_binary64
rem-sqrt-square_binary64 sub0-neg_binary64
unpow1/2_binary64 div-sub_binary64 +-lft-identity_binary64 distribute-neg-out_binary64
mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-lft-out_binary64
1-exp_binary64 exp-1-e_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-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 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 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
95 → 71
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01211283
12961064
211501064
337261064
445321064
549581064

prune26.0ms (0.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh055
Picked011
Done033
Total71980
Error
0b
Counts
80 → 9
Compiler

Compiled 479 to 172 computations (64.1% saved)

regimes3.1s (43.9%)

Accuracy

Total 1.8b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 28649 to 20339 computations (29% saved)

bsearch8.0ms (0.1%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_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_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
041144
149144
248144

end40.0ms (0.6%)

Compiler

Compiled 470 to 205 computations (56.4% saved)

sample1.3s (17.8%)

Algorithm
intervals
Results
239.0ms8000×body128valid
54.0ms1762×body128invalid
Compiler

Compiled 185 to 146 computations (21.1% saved)

Profiling

Loading profile data...