Details

Time bar (total: 5.5s)

analyze1.0s (18.5%)

Algorithm
search
egg-herbie
Rules
840×sub-neg_binary64
808×div-sub_binary64
567×neg-mul-1_binary64
516×neg-sub0_binary64
453×unsub-neg_binary64
364×distribute-neg-in_binary64
320×distribute-rgt-neg-in_binary64
319×distribute-frac-neg_binary64
275×associate--r+_binary64
245×associate-/l*_binary64
218×distribute-lft-neg-out_binary64
203×distribute-neg-frac_binary64
185×remove-double-neg_binary64
179×distribute-rgt-neg-out_binary64
176×+-commutative_binary64
172×distribute-rgt-in_binary64
156×distribute-lft-in_binary64 associate-*r*_binary64
142×distribute-lft-neg-in_binary64
121×associate-*l*_binary64
114×associate-/r/_binary64
104×div0_binary64 distribute-neg-out_binary64
99×*-commutative_binary64
91×associate-+l+_binary64
88×associate--l+_binary64 associate-+l-_binary64
85×associate--r-_binary64
76×associate-+r-_binary64
73×associate-*l/_binary64
70×cancel-sign-sub-inv_binary64
47×associate-/r*_binary64 associate--l-_binary64
41×sub0-neg_binary64
33×cancel-sign-sub_binary64
32×associate-/l/_binary64
31×associate-*r/_binary64
27×mul0-rgt_binary64 mul0-lft_binary64
21×--rgt-identity_binary64
18×distribute-lft-out--_binary64
12×+-rgt-identity_binary64 distribute-rgt-out--_binary64
*-lft-identity_binary64
distribute-rgt-out_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_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 swap-sqr_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046143
1112143
2283143
3782143
41934143
53148143
63995143
74512143
84839143
94844143
055
155
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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample34.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms92×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify56.0ms (1%)

Algorithm
egg-herbie
Rules
244×cancel-sign-sub-inv_binary64
187×distribute-rgt-in_binary64
138×distribute-lft-in_binary64
122×unsub-neg_binary64
119×div-sub_binary64
98×associate-/l*_binary64
95×sub-neg_binary64
82×associate-*r*_binary64
76×associate-*l*_binary64
69×distribute-rgt-neg-in_binary64
68×distribute-lft-neg-in_binary64
58×distribute-rgt-neg-out_binary64 associate--r+_binary64
54×associate-/r/_binary64
50×distribute-neg-in_binary64
47×distribute-neg-frac_binary64 distribute-lft-neg-out_binary64 associate-/r*_binary64
42×neg-mul-1_binary64
39×neg-sub0_binary64
29×associate-/l/_binary64
28×distribute-rgt-out--_binary64
26×*-commutative_binary64
24×distribute-rgt-out_binary64
23×mul0-rgt_binary64 mul0-lft_binary64 +-commutative_binary64
19×associate--l+_binary64
18×remove-double-neg_binary64
17×associate--r-_binary64
16×associate-+l+_binary64
15×associate-+l-_binary64
12×associate-+r-_binary64
11×*-rgt-identity_binary64 associate-*r/_binary64 associate-+r+_binary64
10×associate-*l/_binary64
*-lft-identity_binary64 div0_binary64 distribute-frac-neg_binary64
sub0-neg_binary64 distribute-lft-out--_binary64 associate--l-_binary64
/-rgt-identity_binary64
--rgt-identity_binary64 +-rgt-identity_binary64
+-lft-identity_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_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_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11713
23913
39413
423913
545413
677613
783613
877513
980113
1079113
1179213
1279213
1371913

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
6.9b
Counts
1 → 1
Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
7.9b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite89.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×cancel-sign-sub-inv_binary64
11×add-cube-cbrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
times-frac_binary64
pow1_binary64 add-log-exp_binary64 associate-*r*_binary64
associate-*r/_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
flip3--_binary64 flip--_binary64 associate-/r*_binary64 sub-neg_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 div-inv_binary64 associate-/l/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
frac-2neg_binary64 clear-num_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64 diff-log_binary64
Counts
3 → 73
Calls

3 calls:

7.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms
(*.f64 y (-.f64 z t))
6.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 1143 to 316 computations (72.4% saved)

series182.0ms (3.3%)

Error
0.2b
Counts
3 → 63
Calls

3 calls:

85.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
49.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
28.0ms
(*.f64 y (-.f64 z t))
Compiler

Compiled 1175 to 1016 computations (13.5% saved)

simplify96.0ms (1.7%)

Algorithm
egg-herbie
Rules
617×times-frac_binary64
478×distribute-rgt-in_binary64
475×distribute-lft-in_binary64
134×distribute-rgt-neg-in_binary64
110×distribute-neg-frac_binary64
105×distribute-lft-neg-in_binary64
99×cancel-sign-sub-inv_binary64 associate-*l*_binary64
85×*-commutative_binary64
84×log-prod_binary64 exp-prod_binary64
81×associate-/l*_binary64 associate-*r*_binary64
75×div-sub_binary64
71×distribute-lft-neg-out_binary64
69×sub-neg_binary64
67×associate-*l/_binary64
61×distribute-rgt-neg-out_binary64
54×neg-sub0_binary64
48×neg-mul-1_binary64
47×associate-*r/_binary64
41×log-div_binary64
35×distribute-neg-in_binary64
32×+-commutative_binary64
27×*-rgt-identity_binary64 sqr-pow_binary64
24×cube-div_binary64
23×cube-prod_binary64
22×exp-sum_binary64
21×*-lft-identity_binary64
19×associate-/l/_binary64
18×associate-/r*_binary64
16×swap-sqr_binary64
13×exp-diff_binary64 associate-/r/_binary64
10×/-rgt-identity_binary64
unpow3_binary64
remove-double-neg_binary64
cube-mult_binary64 mul-1-neg_binary64
log-rec_binary64 unsub-neg_binary64 difference-of-squares_binary64 distribute-rgt-out_binary64 associate-+l+_binary64
cube-unmult_binary64 unswap-sqr_binary64 associate-+r+_binary64
associate--l+_binary64 associate-+r-_binary64
+-rgt-identity_binary64 div0_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 associate--r-_binary64 associate--r+_binary64
exp-neg_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 distribute-rgt-out--_binary64
log-pow_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_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 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 rec-exp_binary64 prod-exp_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 sqr-neg_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 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64
Counts
136 → 97
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01661662
14261503
214361503
349541503
450271503

prune37.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New92597
Fresh000
Picked011
Done000
Total92698
Error
0.0b
Counts
98 → 6
Compiler

Compiled 639 to 218 computations (65.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b
(/.f64 (-.f64 z t) a)
6.6b
(*.f64 y (/.f64 (-.f64 z t) a))

rewrite91.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
42×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
31×times-frac_binary64
23×add-cube-cbrt_binary64
19×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64 add-log-exp_binary64 associate-/l*_binary64
associate-*l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
3 → 88
Calls

3 calls:

12.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
6.0ms
(/.f64 (-.f64 z t) a)
3.0ms
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
Compiler

Compiled 1380 to 350 computations (74.6% saved)

series178.0ms (3.2%)

Error
0.0b
Counts
3 → 63
Calls

3 calls:

86.0ms
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
49.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
31.0ms
(/.f64 (-.f64 z t) a)
Compiler

Compiled 1217 to 1032 computations (15.2% saved)

simplify105.0ms (1.9%)

Algorithm
egg-herbie
Rules
479×distribute-rgt-in_binary64
477×distribute-lft-in_binary64
440×associate-*l/_binary64
268×associate-/l*_binary64
118×times-frac_binary64
101×associate-/l/_binary64
93×associate-*l*_binary64
88×exp-prod_binary64
85×distribute-rgt-neg-in_binary64
84×associate-/r/_binary64
81×associate-/r*_binary64
78×cancel-sign-sub-inv_binary64
74×associate-*r*_binary64 *-commutative_binary64
72×distribute-neg-frac_binary64
70×distribute-lft-neg-in_binary64
66×associate-*r/_binary64
50×sub-neg_binary64
48×distribute-lft-neg-out_binary64
44×div-sub_binary64
41×neg-sub0_binary64
37×log-prod_binary64
33×neg-mul-1_binary64
32×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
31×exp-diff_binary64 +-commutative_binary64
28×log-div_binary64 *-rgt-identity_binary64
23×*-lft-identity_binary64
22×exp-sum_binary64
20×sqr-pow_binary64
15×distribute-rgt-out_binary64
13×cube-prod_binary64
10×cube-div_binary64 mul-1-neg_binary64 /-rgt-identity_binary64
remove-double-neg_binary64 unswap-sqr_binary64
unpow3_binary64
associate-+l+_binary64
associate-+r+_binary64
cube-mult_binary64 swap-sqr_binary64 distribute-lft-out_binary64
log-rec_binary64 cube-unmult_binary64 difference-of-squares_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r-_binary64
div-exp_binary64 unsub-neg_binary64 distribute-rgt-out--_binary64 associate--l+_binary64 associate-+l-_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 +-rgt-identity_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-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 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-sqrt-square_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l-_binary64
Counts
151 → 88
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01621973
13921824
212741824
348451824
449731824

prune37.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh044
Picked011
Done011
Total87794
Error
0.0b
Counts
94 → 7
Compiler

Compiled 603 to 211 computations (65% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
0.0b
(*.f64 (-.f64 z t) y)
0.5b
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
7.9b
(/.f64 a (*.f64 (-.f64 z t) y))

rewrite195.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
80×times-frac_binary64
53×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64
42×add-cube-cbrt_binary64
32×add-exp-log_binary64 cancel-sign-sub-inv_binary64
20×add-cbrt-cube_binary64
18×associate-*l/_binary64 associate-/r/_binary64
14×div-exp_binary64
11×div-inv_binary64
10×flip3--_binary64 flip--_binary64 associate-/r*_binary64
pow1_binary64 cbrt-undiv_binary64
add-log-exp_binary64 associate-/l*_binary64
prod-exp_binary64 associate-*l*_binary64
difference-of-squares_binary64
cbrt-unprod_binary64 1-exp_binary64 rec-exp_binary64 distribute-lft-out--_binary64 associate-*r*_binary64
frac-2neg_binary64 clear-num_binary64
inv-pow_binary64 pow-flip_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64
Counts
4 → 157
Calls

4 calls:

15.0ms
(-.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
9.0ms
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
7.0ms
(/.f64 a (*.f64 (-.f64 z t) y))
7.0ms
(*.f64 (-.f64 z t) y)
Compiler

Compiled 3063 to 1181 computations (61.4% saved)

series242.0ms (4.4%)

Error
0.0b
Counts
4 → 87
Calls

4 calls:

87.0ms
(-.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
60.0ms
(/.f64 a (*.f64 (-.f64 z t) y))
50.0ms
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
28.0ms
(*.f64 (-.f64 z t) y)
Compiler

Compiled 2022 to 1693 computations (16.3% saved)

simplify131.0ms (2.4%)

Algorithm
egg-herbie
Rules
566×distribute-rgt-in_binary64
220×distribute-rgt-neg-in_binary64
200×cancel-sign-sub-inv_binary64
187×distribute-neg-frac_binary64
177×distribute-lft-neg-in_binary64
155×*-commutative_binary64
140×associate-*l/_binary64
131×associate-*r*_binary64
123×neg-sub0_binary64
122×associate-/l*_binary64
119×sub-neg_binary64
117×associate-*l*_binary64
108×neg-mul-1_binary64 associate-*r/_binary64
107×div-sub_binary64 associate-/r/_binary64
105×distribute-lft-neg-out_binary64
98×associate-/r*_binary64
86×distribute-rgt-neg-out_binary64
81×times-frac_binary64
77×distribute-neg-in_binary64
68×exp-prod_binary64
52×associate-/l/_binary64
49×+-commutative_binary64
44×*-rgt-identity_binary64
39×distribute-frac-neg_binary64
38×distribute-lft-in_binary64
37×sqr-pow_binary64
29×log-div_binary64
25×log-prod_binary64
24×exp-sum_binary64 cube-prod_binary64 *-lft-identity_binary64
23×cube-div_binary64 unsub-neg_binary64 distribute-rgt-out_binary64 associate-+r+_binary64
20×unswap-sqr_binary64
19×/-rgt-identity_binary64
18×swap-sqr_binary64
12×associate-+l+_binary64
11×associate--r+_binary64
10×div0_binary64 distribute-lft-out_binary64
exp-diff_binary64
log-rec_binary64 mul-1-neg_binary64 difference-of-squares_binary64
unpow3_binary64 cube-unmult_binary64
cube-mult_binary64 associate--r-_binary64 associate-+r-_binary64
remove-double-neg_binary64
distribute-rgt-out--_binary64
rem-sqrt-square_binary64 +-rgt-identity_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-3cbrt-lft_binary64 sub0-neg_binary64 +-lft-identity_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--l+_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 pow-sqr_binary64 distribute-neg-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 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-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 sqr-neg_binary64 --rgt-identity_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-lft-out--_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
244 → 174
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02714429
17344041
226813609
350523609

prune75.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1722174
Fresh134
Picked101
Done022
Total1747181
Error
0b
Counts
181 → 7
Compiler

Compiled 1276 to 473 computations (62.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
7.9b
(/.f64 (-.f64 z t) (/.f64 a y))

rewrite192.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
232×times-frac_binary64
170×add-sqr-sqrt_binary64
163×*-un-lft-identity_binary64
107×add-cube-cbrt_binary64
70×cancel-sign-sub-inv_binary64
30×difference-of-squares_binary64
28×distribute-lft-out--_binary64
13×div-inv_binary64 associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
add-log-exp_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 div-sub_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64 associate-/r/_binary64
frac-2neg_binary64 clear-num_binary64 diff-log_binary64 sub-neg_binary64 associate--r-_binary64
Counts
2 → 187
Calls

2 calls:

32.0ms
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
9.0ms
(/.f64 (-.f64 z t) (/.f64 a y))
Compiler

Compiled 3433 to 774 computations (77.5% saved)

series139.0ms (2.5%)

Error
0b
Counts
2 → 48
Calls

2 calls:

85.0ms
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
47.0ms
(/.f64 (-.f64 z t) (/.f64 a y))
Compiler

Compiled 932 to 784 computations (15.9% saved)

simplify161.0ms (2.9%)

Algorithm
egg-herbie
Rules
405×div-sub_binary64
331×associate-*l/_binary64
301×*-commutative_binary64
287×associate-/r/_binary64
249×associate-*r/_binary64
180×associate-*r*_binary64
159×associate-*l*_binary64
150×associate-/l/_binary64
147×associate-/l*_binary64
117×neg-sub0_binary64
116×neg-mul-1_binary64
107×sub-neg_binary64
102×distribute-lft-neg-out_binary64
94×distribute-rgt-neg-in_binary64
78×distribute-neg-frac_binary64
60×distribute-lft-in_binary64
58×distribute-rgt-in_binary64
52×associate-/r*_binary64
47×distribute-rgt-neg-out_binary64
46×cancel-sign-sub-inv_binary64
41×distribute-lft-neg-in_binary64
39×exp-prod_binary64
35×times-frac_binary64 +-commutative_binary64
22×exp-sum_binary64
13×cube-div_binary64
12×log-div_binary64
11×exp-diff_binary64
10×/-rgt-identity_binary64
log-prod_binary64 cube-prod_binary64 distribute-neg-in_binary64 associate--r+_binary64
unpow3_binary64 cube-unmult_binary64 mul-1-neg_binary64 sqr-pow_binary64
associate--r-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
cube-mult_binary64
rem-square-sqrt_binary64 swap-sqr_binary64 distribute-rgt-out--_binary64
rem-3cbrt-lft_binary64 remove-double-div_binary64 difference-of-squares_binary64 distribute-rgt-out_binary64 associate--l+_binary64
div-exp_binary64 1-exp_binary64 rem-sqrt-square_binary64 *-rgt-identity_binary64 unswap-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 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 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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_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 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64
Counts
235 → 193
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03455710
111315557
243184677
350784677

prune70.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1912193
Fresh314
Picked011
Done022
Total1946200
Error
0b
Counts
200 → 6
Compiler

Compiled 1582 to 349 computations (77.9% saved)

regimes1.3s (24.2%)

Accuracy

Total 1.4b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 8200 to 7871 computations (4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify15.0ms (0.3%)

Algorithm
egg-herbie
Rules
64×distribute-rgt-neg-in_binary64
50×cancel-sign-sub-inv_binary64
44×distribute-lft-neg-in_binary64
35×neg-mul-1_binary64 neg-sub0_binary64
32×distribute-neg-in_binary64
30×distribute-lft-neg-out_binary64
23×distribute-rgt-neg-out_binary64
22×sub-neg_binary64
19×*-commutative_binary64 +-commutative_binary64
14×remove-double-neg_binary64
10×unsub-neg_binary64
distribute-neg-frac_binary64
1-exp_binary64 /-rgt-identity_binary64 distribute-frac-neg_binary64 distribute-neg-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 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 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03072
15272
28272
312072
416172
518972
621872
725472
828972
931472
1032072
1131672

end1.0ms (0%)

Compiler

Compiled 49 to 27 computations (44.9% saved)

sample1.0s (18.3%)

Algorithm
intervals
Results
300.0ms8000×body128valid
91.0ms2600×body128invalid
Compiler

Compiled 155 to 137 computations (11.6% saved)

Profiling

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