Details

Time bar (total: 8.7s)

analyze685.0ms (7.9%)

Algorithm
search
egg-herbie
Rules
1102×unsub-neg_binary64
713×neg-mul-1_binary64
693×neg-sub0_binary64
520×div-sub_binary64
466×distribute-neg-out_binary64
437×associate-+l-_binary64
405×distribute-frac-neg_binary64
325×distribute-rgt-in_binary64
275×associate--r+_binary64
240×associate-+r+_binary64
231×associate-+l+_binary64
195×associate-*l*_binary64
165×distribute-lft-in_binary64
161×distribute-rgt-out_binary64
159×distribute-lft-neg-out_binary64
150×associate--l+_binary64
141×distribute-rgt-neg-out_binary64 associate-*r*_binary64
135×sub-neg_binary64
126×*-commutative_binary64
121×sub0-neg_binary64
108×remove-double-neg_binary64 cancel-sign-sub-inv_binary64
92×+-commutative_binary64
91×/-rgt-identity_binary64
89×associate-+r-_binary64
56×times-frac_binary64
55×distribute-lft-neg-in_binary64
54×distribute-neg-in_binary64 distribute-rgt-neg-in_binary64
52×associate-/r*_binary64
45×associate--r-_binary64
36×associate-/l*_binary64
34×+-rgt-identity_binary64
32×div0_binary64 distribute-neg-frac_binary64
24×distribute-rgt-out--_binary64 associate--l-_binary64
21×mul0-rgt_binary64 mul0-lft_binary64
19×--rgt-identity_binary64
18×*-lft-identity_binary64
14×distribute-lft-out_binary64
12×*-rgt-identity_binary64
10×mul-1-neg_binary64
swap-sqr_binary64
sqr-neg_binary64
1-exp_binary64 swap-y-t
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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_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 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891
15991
215491
336691
485091
5160491
6325791
7408591
8437291
9489491
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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.3%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify51.0ms (0.6%)

Algorithm
egg-herbie
Rules
246×distribute-rgt-in_binary64
216×unsub-neg_binary64
135×cancel-sign-sub-inv_binary64
118×sub-neg_binary64
111×distribute-lft-in_binary64 associate--r+_binary64
94×associate-+l-_binary64
86×associate-+l+_binary64
77×distribute-neg-in_binary64
75×distribute-neg-out_binary64
74×associate-+r+_binary64
72×associate--l+_binary64
64×neg-sub0_binary64
61×distribute-lft-neg-out_binary64
51×distribute-rgt-neg-out_binary64
50×neg-mul-1_binary64 *-commutative_binary64
48×associate-*l*_binary64
47×associate-*r*_binary64
38×distribute-rgt-out_binary64
37×associate--r-_binary64
33×distribute-lft-neg-in_binary64
32×distribute-rgt-neg-in_binary64
30×associate--l-_binary64
29×associate-/r*_binary64
23×sub0-neg_binary64
20×+-commutative_binary64
18×distribute-rgt-out--_binary64 associate-+r-_binary64
17×remove-double-neg_binary64
15×distribute-lft-out_binary64 associate-/l/_binary64
14×*-rgt-identity_binary64
13×mul0-rgt_binary64 mul0-lft_binary64
*-lft-identity_binary64
+-rgt-identity_binary64 distribute-lft-out--_binary64
/-rgt-identity_binary64
swap-sqr_binary64
1-exp_binary64 sqr-neg_binary64 mul-1-neg_binary64 --rgt-identity_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 +-lft-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
23513
38213
420113
538613
671013
785013
885813
981513
1081513
1177213

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.1b
Counts
1 → 1
Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t z))
8.1b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite93.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 flip3--_binary64 flip--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 frac-times_binary64 associate-/r/_binary64
cancel-sign-sub-inv_binary64
associate-*l*_binary64 associate-*r*_binary64
pow1_binary64 associate-*l/_binary64 associate-*r/_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
times-frac_binary64 associate-/l*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 sub-neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/r*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 67
Calls

2 calls:

15.0ms
(*.f64 (-.f64 y z) (-.f64 t z))
9.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
Compiler

Compiled 1193 to 299 computations (74.9% saved)

series196.0ms (2.2%)

Error
8.1b
Counts
2 → 46
Calls

2 calls:

125.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
43.0ms
(*.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 2534 to 1692 computations (33.2% saved)

simplify94.0ms (1.1%)

Algorithm
egg-herbie
Rules
744×distribute-rgt-in_binary64
286×times-frac_binary64
235×associate-/r*_binary64
186×associate-/l*_binary64
158×cancel-sign-sub-inv_binary64
142×associate-*l*_binary64
138×unswap-sqr_binary64
128×associate-*r*_binary64
108×*-commutative_binary64
89×distribute-neg-frac_binary64
88×+-commutative_binary64
87×distribute-lft-in_binary64
84×sub-neg_binary64
81×distribute-rgt-neg-in_binary64
79×associate-+r+_binary64
71×distribute-lft-neg-in_binary64
55×distribute-rgt-neg-out_binary64
53×neg-sub0_binary64 distribute-lft-neg-out_binary64
51×associate-+l+_binary64
49×neg-mul-1_binary64
44×div-sub_binary64
43×sqr-pow_binary64
40×associate-*l/_binary64
39×distribute-rgt-out_binary64
38×associate-*r/_binary64
34×unsub-neg_binary64
26×associate-/r/_binary64
25×distribute-neg-in_binary64
23×exp-prod_binary64
21×associate--l+_binary64
19×*-lft-identity_binary64
17×*-rgt-identity_binary64
15×swap-sqr_binary64 associate--r+_binary64
13×cube-prod_binary64
10×/-rgt-identity_binary64
log-div_binary64 log-prod_binary64 exp-sum_binary64 difference-of-squares_binary64 distribute-lft-out_binary64
distribute-rgt-out--_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-diff_binary64 cube-unmult_binary64 rem-sqrt-square_binary64 distribute-lft-out--_binary64
unpow3_binary64 cube-mult_binary64 cube-div_binary64 mul-1-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
+-rgt-identity_binary64 associate-+r-_binary64
log-pow_binary64 div0_binary64
pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 pow-sqr_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate-/l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
113 → 84
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02462641
17082419
230652267
352622267

prune62.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New75984
Fresh000
Picked101
Done000
Total76985
Error
0.0b
Counts
85 → 9
Compiler

Compiled 1181 to 448 computations (62.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 t z))
0.5b
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
2.6b
(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))

rewrite706.0ms (8.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
1260×times-frac_binary64
844×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
468×add-cube-cbrt_binary64
188×difference-of-squares_binary64 distribute-lft-out--_binary64
136×associate-/r*_binary64
60×associate-/r/_binary64
33×div-inv_binary64
31×add-exp-log_binary64
28×flip3--_binary64 flip--_binary64
19×div-exp_binary64 add-cbrt-cube_binary64
11×associate-/l*_binary64
10×cbrt-undiv_binary64
pow1_binary64
add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 1-exp_binary64 rec-exp_binary64
associate-/l/_binary64
div-sub_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 654
Calls

3 calls:

32.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
13.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
5.0ms
(/.f64 x (-.f64 t z))
Compiler

Compiled 13325 to 3545 computations (73.4% saved)

series298.0ms (3.4%)

Error
0.0b
Counts
3 → 73
Calls

3 calls:

128.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
79.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
46.0ms
(/.f64 x (-.f64 t z))
Compiler

Compiled 3719 to 2532 computations (31.9% saved)

simplify428.0ms (4.9%)

Algorithm
egg-herbie
Rules
909×associate-/r/_binary64
526×associate-/l/_binary64
418×times-frac_binary64
154×distribute-rgt-in_binary64
140×distribute-lft-in_binary64
129×associate-/l*_binary64
111×div-sub_binary64
109×sub-neg_binary64
47×+-commutative_binary64
44×*-commutative_binary64
38×associate-/r*_binary64
33×neg-sub0_binary64
28×neg-mul-1_binary64
25×distribute-neg-frac_binary64
24×distribute-neg-in_binary64
23×cancel-sign-sub-inv_binary64
22×associate-+r+_binary64
21×sqr-pow_binary64
20×remove-double-div_binary64
14×/-rgt-identity_binary64 unswap-sqr_binary64
13×associate-*r/_binary64
11×distribute-rgt-neg-in_binary64
mul-1-neg_binary64
log-div_binary64 distribute-lft-neg-in_binary64
associate--l+_binary64 associate--r+_binary64
distribute-lft-out_binary64
unpow2_binary64 unpow1_binary64 associate-*l/_binary64 associate-*l*_binary64
log-prod_binary64 unpow3_binary64 cube-unmult_binary64 cube-mult_binary64 unsub-neg_binary64 swap-sqr_binary64 distribute-rgt-out_binary64 associate-*r*_binary64
log-rec_binary64 exp-prod_binary64 associate--r-_binary64
*-rgt-identity_binary64 difference-of-squares_binary64
pow-plus_binary64 exp-diff_binary64 1-exp_binary64 cube-div_binary64 *-lft-identity_binary64 sub0-neg_binary64 distribute-lft-neg-out_binary64 distribute-rgt-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 pow-base-0_binary64 unpow1/3_binary64 unpow1/2_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 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 remove-double-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 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64
Counts
727 → 599
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072723117
1196022716
2510022716

prune318.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5927599
Fresh718
Picked011
Done000
Total5999608
Error
0.0b
Counts
608 → 9
Compiler

Compiled 8037 to 2023 computations (74.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 t z))
0.0b
(/.f64 x (-.f64 y z))
1.2b
(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))

rewrite214.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
86×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
67×times-frac_binary64
41×add-cube-cbrt_binary64
31×add-exp-log_binary64
21×associate-*l*_binary64 associate-*r*_binary64
19×add-cbrt-cube_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
11×div-exp_binary64
10×associate-/r*_binary64
prod-exp_binary64 associate-/r/_binary64
pow1_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64
cbrt-unprod_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64
frac-2neg_binary64 clear-num_binary64
pow-prod-down_binary64 frac-times_binary64 un-div-inv_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 151
Calls

3 calls:

22.0ms
(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))
5.0ms
(/.f64 1 (-.f64 t z))
5.0ms
(/.f64 x (-.f64 y z))
Compiler

Compiled 2635 to 887 computations (66.3% saved)

series242.0ms (2.8%)

Error
0.0b
Counts
3 → 67
Calls

3 calls:

129.0ms
(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))
41.0ms
(/.f64 x (-.f64 y z))
32.0ms
(/.f64 1 (-.f64 t z))
Compiler

Compiled 3325 to 2304 computations (30.7% saved)

simplify170.0ms (2%)

Algorithm
egg-herbie
Rules
356×associate-/l*_binary64
351×times-frac_binary64
220×associate-/r*_binary64
194×div-sub_binary64
193×cancel-sign-sub-inv_binary64
167×associate-*l/_binary64 associate-*l*_binary64
159×neg-mul-1_binary64
150×associate-*r/_binary64
135×*-commutative_binary64
132×associate-*r*_binary64
119×distribute-neg-frac_binary64
113×+-commutative_binary64
112×unswap-sqr_binary64
103×distribute-rgt-neg-in_binary64
99×sub-neg_binary64 associate-+r+_binary64
92×*-rgt-identity_binary64
91×distribute-lft-neg-in_binary64
85×associate-/l/_binary64
72×associate-+l+_binary64
65×associate-/r/_binary64
57×neg-sub0_binary64
54×/-rgt-identity_binary64
51×distribute-rgt-out_binary64
45×sqr-pow_binary64
39×cube-prod_binary64
33×log-prod_binary64
32×log-div_binary64 unsub-neg_binary64 distribute-rgt-in_binary64
29×distribute-neg-in_binary64
27×cube-div_binary64
26×*-lft-identity_binary64
22×associate--l+_binary64
20×distribute-lft-in_binary64
18×associate--r+_binary64
17×unpow3_binary64
16×exp-prod_binary64
15×distribute-lft-out_binary64
13×distribute-lft-neg-out_binary64
12×cube-mult_binary64 swap-sqr_binary64
10×cube-unmult_binary64
log-rec_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
difference-of-squares_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 associate-+l-_binary64
unpow1/2_binary64 pow-plus_binary64
unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
log-pow_binary64 +-rgt-identity_binary64 associate--r-_binary64
mul-1-neg_binary64 div0_binary64
remove-double-neg_binary64 distribute-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 remove-double-div_binary64 pow-sqr_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 count-2_binary64
Counts
218 → 150
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03284383
19154032
237063851
345613851
450023851

prune94.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1482150
Fresh347
Picked011
Done011
Total1518159
Error
0b
Counts
159 → 8
Compiler

Compiled 1760 to 599 computations (66% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 t z))
2.6b
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite176.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
210×times-frac_binary64
176×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
88×add-cube-cbrt_binary64
44×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
16×associate-/r/_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64 flip3--_binary64 flip--_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
associate-/l/_binary64
Counts
2 → 185
Calls

2 calls:

13.0ms
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
5.0ms
(/.f64 x (-.f64 t z))
Compiler

Compiled 3113 to 590 computations (81% saved)

series206.0ms (2.4%)

Error
0b
Counts
2 → 49
Calls

2 calls:

131.0ms
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
44.0ms
(/.f64 x (-.f64 t z))
Compiler

Compiled 2787 to 1858 computations (33.3% saved)

simplify268.0ms (3.1%)

Algorithm
egg-herbie
Rules
325×associate-/l/_binary64
301×associate-/r*_binary64
296×times-frac_binary64
216×associate-/l*_binary64
211×neg-mul-1_binary64
204×div-sub_binary64
187×cancel-sign-sub-inv_binary64
122×unswap-sqr_binary64
118×distribute-neg-frac_binary64
110×*-commutative_binary64
106×sub-neg_binary64
97×associate-/r/_binary64
96×+-commutative_binary64
90×distribute-rgt-neg-in_binary64
87×distribute-lft-neg-in_binary64
85×associate-+r+_binary64
83×*-rgt-identity_binary64
78×associate-*l/_binary64
73×associate-*l*_binary64
69×neg-sub0_binary64 associate-*r*_binary64
63×associate-+l+_binary64
60×distribute-rgt-in_binary64
49×distribute-lft-in_binary64
44×distribute-rgt-out_binary64
41×associate-*r/_binary64
39×sqr-pow_binary64
37×distribute-lft-neg-out_binary64
34×distribute-rgt-neg-out_binary64
30×cube-prod_binary64
29×unsub-neg_binary64
27×distribute-neg-in_binary64
25×log-prod_binary64
24×/-rgt-identity_binary64
22×associate--l+_binary64
21×*-lft-identity_binary64
15×log-div_binary64 associate--r+_binary64
11×unpow3_binary64 distribute-rgt-out--_binary64
10×cube-div_binary64
cube-unmult_binary64
difference-of-squares_binary64 distribute-rgt1-in_binary64
log-pow_binary64 pow-plus_binary64 cube-mult_binary64 distribute-lft-out_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64
div0_binary64 distribute-lft1-in_binary64
mul-1-neg_binary64
associate--r-_binary64
log-rec_binary64 1-exp_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-neg_binary64 swap-sqr_binary64 distribute-neg-out_binary64 distribute-lft-out--_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-+r-_binary64
Counts
234 → 142
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03926456
110616270
236856167
345436167
449976167
549796167

prune73.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh055
Picked011
Done022
Total1428150
Error
0b
Counts
150 → 8
Compiler

Compiled 1773 to 454 computations (74.4% saved)

regimes3.3s (37.4%)

Accuracy

Total 1.3b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 43652 to 32157 computations (26.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 /-rgt-identity_binary64 *-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
12346
22846
33046
43146
53046

end7.0ms (0.1%)

Compiler

Compiled 87 to 48 computations (44.8% saved)

sample1.0s (11.5%)

Algorithm
intervals
Results
256.0ms8000×body128valid
12.0ms395×body128invalid
Compiler

Compiled 193 to 153 computations (20.7% saved)

Profiling

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