Details

Time bar (total: 3.9s)

analyze341.0ms (8.9%)

Algorithm
search
egg-herbie
Rules
1487×div-sub_binary64
708×unsub-neg_binary64
664×sub-neg_binary64
621×times-frac_binary64
503×distribute-rgt-in_binary64
470×distribute-lft-in_binary64
337×associate-/l*_binary64
239×cancel-sign-sub-inv_binary64
146×associate-/l/_binary64
144×neg-mul-1_binary64
114×distribute-neg-in_binary64
113×associate-/r*_binary64
111×distribute-rgt-neg-in_binary64
107×distribute-neg-frac_binary64
105×distribute-lft-neg-in_binary64
102×distribute-frac-neg_binary64
93×*-commutative_binary64
91×neg-sub0_binary64 distribute-lft-neg-out_binary64
83×associate--r-_binary64 associate--r+_binary64
72×associate--l-_binary64
67×distribute-rgt-neg-out_binary64
40×associate-/r/_binary64
38×+-commutative_binary64
30×remove-double-neg_binary64
27×/-rgt-identity_binary64 mul0-rgt_binary64
26×div0_binary64 associate-*l/_binary64
25×mul0-lft_binary64
23×*-lft-identity_binary64
20×associate-*r*_binary64 associate-+l-_binary64
19×remove-double-div_binary64
16×sub0-neg_binary64 --rgt-identity_binary64
15×lft-mult-inverse_binary64
12×associate-*l*_binary64
10×*-rgt-identity_binary64 associate-+r-_binary64 associate-+r+_binary64
distribute-rgt-out--_binary64
+-rgt-identity_binary64
cancel-sign-sub_binary64
distribute-neg-out_binary64 associate-+l+_binary64
+-lft-identity_binary64 *-inverses_binary64 rgt-mult-inverse_binary64
mul-1-neg_binary64 associate--l+_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 +-inverses_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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
13540
25740
39440
417940
533140
674840
7137040
8225140
9173340
10183740
11197340
12206740
13184740
14234340
15187140
16187140
17212340
18188340
19188340
20188340
21172340
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify79.0ms (2%)

Algorithm
egg-herbie
Rules
530×div-sub_binary64
326×times-frac_binary64
174×associate-/l/_binary64
166×sub-neg_binary64
160×associate-/l*_binary64
123×associate-/r*_binary64
121×associate-/r/_binary64
106×distribute-rgt-in_binary64
103×distribute-lft-in_binary64
92×cancel-sign-sub-inv_binary64
76×unsub-neg_binary64
61×distribute-neg-frac_binary64
41×distribute-frac-neg_binary64
40×neg-mul-1_binary64
34×associate-*l/_binary64
29×associate--r+_binary64
27×neg-sub0_binary64 associate--r-_binary64 associate--l-_binary64
24×*-commutative_binary64
23×distribute-rgt-neg-in_binary64 associate-*r/_binary64
22×associate-*r*_binary64
21×+-commutative_binary64
20×mul0-rgt_binary64 div0_binary64 distribute-lft-neg-out_binary64
19×distribute-rgt-neg-out_binary64
18×distribute-lft-neg-in_binary64
17×distribute-neg-in_binary64
15×*-lft-identity_binary64 mul0-lft_binary64
12×associate-*l*_binary64
11×sub0-neg_binary64 associate-+l-_binary64
associate-+l+_binary64
+-lft-identity_binary64 associate-+r-_binary64
*-rgt-identity_binary64 associate-+r+_binary64
+-rgt-identity_binary64
/-rgt-identity_binary64 lft-mult-inverse_binary64
remove-double-neg_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64
mul-1-neg_binary64 *-inverses_binary64 associate--l+_binary64
1-exp_binary64 --rgt-identity_binary64 distribute-rgt-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 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 +-inverses_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 distribute-rgt-out_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22110
33510
45910
510510
619810
737110
866410
999810
10110010
11111710
12108810
13109510
14109710
15110510
16110510
17100310

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite44.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
25×times-frac_binary64
13×add-cube-cbrt_binary64
12×difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64 associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 associate-/l/_binary64 flip--_binary64 associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64
Counts
1 → 52
Calls

1 calls:

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

Compiled 680 to 156 computations (77.1% saved)

series64.0ms (1.6%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

50.0ms
(/.f64 (-.f64 x y) (-.f64 z y))
Compiler

Compiled 703 to 493 computations (29.9% saved)

simplify102.0ms (2.7%)

Algorithm
egg-herbie
Rules
902×div-sub_binary64
750×cancel-sign-sub-inv_binary64
275×sub-neg_binary64
161×distribute-rgt-in_binary64
142×distribute-lft-in_binary64
125×distribute-neg-frac_binary64
119×associate-/l*_binary64
113×distribute-rgt-neg-out_binary64
111×distribute-lft-neg-out_binary64
108×+-commutative_binary64
104×unsub-neg_binary64 associate-/r*_binary64
102×associate--l+_binary64
96×associate-*l/_binary64
90×associate-*l*_binary64
80×times-frac_binary64 associate-*r*_binary64 *-commutative_binary64
79×neg-sub0_binary64 associate-/l/_binary64
73×associate--r+_binary64
70×distribute-frac-neg_binary64
67×associate-*r/_binary64
62×neg-mul-1_binary64
59×associate-+r+_binary64
57×associate-+l+_binary64
56×associate-/r/_binary64
55×unswap-sqr_binary64
36×associate-+l-_binary64
35×associate-+r-_binary64
28×cube-prod_binary64 sqr-pow_binary64
24×*-rgt-identity_binary64
23×distribute-neg-in_binary64
22×+-rgt-identity_binary64
17×sqr-neg_binary64
16×sub0-neg_binary64
13×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
12×unpow3_binary64 difference-of-squares_binary64
11×exp-diff_binary64 cube-unmult_binary64
10×mul-1-neg_binary64
log-prod_binary64 distribute-neg-out_binary64
swap-sqr_binary64
cube-neg_binary64 /-rgt-identity_binary64
pow-plus_binary64 exp-sum_binary64
cube-mult_binary64 cube-div_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64 div0_binary64 associate--r-_binary64 associate--l-_binary64
log-div_binary64 exp-prod_binary64 cancel-sign-sub_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-neg_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 pow-sqr_binary64 distribute-lft-out_binary64
1-exp_binary64 remove-double-neg_binary64 *-inverses_binary64 difference-of-sqr-1_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 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 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 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
73 → 35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01321381
13331330
28671288
325491288
444281282
555951282

prune233.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336
Error
0.0b
Counts
36 → 3
Compiler

Compiled 326 to 120 computations (63.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 z y))
0.2b
(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
17.4b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))

rewrite148.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
165×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
125×times-frac_binary64
68×cbrt-prod_binary64
62×unpow-prod-down_binary64 cube-prod_binary64
61×add-cube-cbrt_binary64
52×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 flip--_binary64
div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64
pow1_binary64
add-log-exp_binary64 pow-unpow_binary64
cube-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 div-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 cbrt-undiv_binary64 associate-/l/_binary64
pow1/3_binary64 cbrt-div_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64
Counts
3 → 212
Calls

3 calls:

12.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))
11.0ms
(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
8.0ms
(/.f64 (-.f64 x y) (-.f64 z y))
Compiler

Compiled 2488 to 804 computations (67.7% saved)

series324.0ms (8.4%)

Error
0.0b
Counts
3 → 73
Calls

3 calls:

148.0ms
(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
60.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))
56.0ms
(/.f64 (-.f64 x y) (-.f64 z y))
Compiler

Compiled 4327 to 3244 computations (25% saved)

simplify224.0ms (5.8%)

Algorithm
egg-herbie
Rules
240×associate-/l*_binary64
226×times-frac_binary64
185×+-commutative_binary64
158×associate-+r+_binary64
145×associate-*l/_binary64
144×associate-/r*_binary64
142×associate-*r/_binary64
135×associate-+l+_binary64
122×associate--l+_binary64
117×associate-*r*_binary64
115×sqr-pow_binary64
100×div-sub_binary64
99×cube-div_binary64
97×sub-neg_binary64
96×associate--r+_binary64
92×*-commutative_binary64
87×log-prod_binary64
81×associate-*l*_binary64
66×log-div_binary64
60×unpow3_binary64 exp-prod_binary64
59×cube-mult_binary64
50×cube-prod_binary64
42×associate-/l/_binary64
41×distribute-rgt-in_binary64
40×rem-cbrt-cube_binary64 distribute-lft-in_binary64
36×cancel-sign-sub-inv_binary64 associate-/r/_binary64
32×distribute-neg-in_binary64
30×neg-sub0_binary64
24×neg-mul-1_binary64
23×unswap-sqr_binary64
16×rem-sqrt-square_binary64
14×log-pow_binary64
10×cube-unmult_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64
pow-plus_binary64 mul-1-neg_binary64 distribute-lft-neg-in_binary64
exp-sum_binary64 /-rgt-identity_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 unpow1_binary64 pow-sqr_binary64 swap-sqr_binary64
unpow2_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64
exp-diff_binary64 difference-of-squares_binary64 associate--r-_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 *-inverses_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-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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_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 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-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
285 → 214
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04087569
112037188
243707149
350497149

prune85.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2122214
Fresh011
Picked011
Done101
Total2134217
Error
0b
Counts
217 → 4
Compiler

Compiled 2323 to 872 computations (62.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite108.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
39×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
30×times-frac_binary64
23×add-cube-cbrt_binary64
10×associate-/r*_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
add-log-exp_binary64
associate-/r/_binary64 associate-*l/_binary64
pow1_binary64 flip3--_binary64 flip--_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64
diff-log_binary64 frac-sub_binary64 sub-div_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-out--_binary64
Counts
3 → 89
Calls

3 calls:

10.0ms
(-.f64 (*.f64 (/.f64 y (-.f64 z y)) (cbrt.f64 -1)) (*.f64 (/.f64 x (-.f64 z y)) (cbrt.f64 -1)))
6.0ms
(/.f64 y (-.f64 z y))
5.0ms
(/.f64 x (-.f64 z y))
Compiler

Compiled 2069 to 871 computations (57.9% saved)

series223.0ms (5.8%)

Error
0b
Counts
3 → 51
Calls

3 calls:

123.0ms
(-.f64 (*.f64 (/.f64 y (-.f64 z y)) (cbrt.f64 -1)) (*.f64 (/.f64 x (-.f64 z y)) (cbrt.f64 -1)))
36.0ms
(/.f64 x (-.f64 z y))
32.0ms
(/.f64 y (-.f64 z y))
Compiler

Compiled 2341 to 1867 computations (20.2% saved)

simplify128.0ms (3.3%)

Algorithm
egg-herbie
Rules
431×associate-*l/_binary64
405×associate-/l*_binary64
389×associate-*l*_binary64
309×associate-*r/_binary64
264×times-frac_binary64
224×div-sub_binary64
223×associate-/r*_binary64
173×associate-/l/_binary64
150×associate-/r/_binary64
148×cancel-sign-sub-inv_binary64
126×distribute-rgt-in_binary64
115×sub-neg_binary64
99×distribute-lft-in_binary64
78×distribute-rgt-neg-in_binary64
70×distribute-neg-frac_binary64
69×distribute-lft-neg-in_binary64
57×distribute-rgt-out_binary64
55×*-commutative_binary64
52×+-commutative_binary64
51×neg-sub0_binary64
46×neg-mul-1_binary64
45×associate-*r*_binary64
40×sqr-pow_binary64
39×cube-prod_binary64
36×distribute-neg-in_binary64
28×cube-div_binary64 associate--r+_binary64
26×distribute-rgt-out--_binary64
25×distribute-lft-neg-out_binary64
24×exp-prod_binary64 *-rgt-identity_binary64
22×distribute-lft-out_binary64
17×unsub-neg_binary64 associate--l+_binary64
16×unpow3_binary64
14×log-prod_binary64
12×cube-mult_binary64 associate-+l+_binary64
11×log-div_binary64 exp-sum_binary64
cube-unmult_binary64 mul-1-neg_binary64 difference-of-squares_binary64
/-rgt-identity_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-rgt-neg-out_binary64 associate-+r+_binary64
distribute-rgt1-in_binary64
exp-diff_binary64
distribute-lft-out--_binary64
sqr-neg_binary64 +-rgt-identity_binary64 associate-+r-_binary64
log-pow_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 cube-neg_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 div0_binary64 pow-sqr_binary64
div-exp_binary64 1-exp_binary64 rem-cube-cbrt_binary64 remove-double-neg_binary64 *-inverses_binary64 associate--r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-lft1-in_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
140 → 75
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162476
15122349
215072214
345532214
450392214

prune46.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh022
Picked011
Done011
Total75479
Error
0b
Counts
79 → 4
Compiler

Compiled 860 to 406 computations (52.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

3.4b
(-.f64 (*.f64 z z) (*.f64 y y))
8.4b
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 y z))
18.5b
(/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y)))

rewrite104.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
48×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
41×times-frac_binary64
26×associate-*l*_binary64
25×add-cube-cbrt_binary64
21×difference-of-squares_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
distribute-lft-out--_binary64
pow1_binary64 add-log-exp_binary64 associate-/l*_binary64
flip3--_binary64 flip--_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*r*_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 associate-/l/_binary64 prod-exp_binary64 cbrt-unprod_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 unswap-sqr_binary64 associate-*r/_binary64
frac-2neg_binary64 div-sub_binary64 clear-num_binary64 pow-prod-down_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 distribute-lft-out_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
3 → 111
Calls

3 calls:

16.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 y z))
9.0ms
(/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y)))
4.0ms
(-.f64 (*.f64 z z) (*.f64 y y))
Compiler

Compiled 2664 to 391 computations (85.3% saved)

series193.0ms (5%)

Error
0b
Counts
3 → 51
Calls

3 calls:

80.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 y z))
59.0ms
(/.f64 (-.f64 x y) (-.f64 (*.f64 z z) (*.f64 y y)))
28.0ms
(-.f64 (*.f64 z z) (*.f64 y y))
Compiler

Compiled 2046 to 1504 computations (26.5% saved)

simplify156.0ms (4%)

Algorithm
egg-herbie
Rules
746×times-frac_binary64
461×div-sub_binary64
178×exp-prod_binary64
176×cancel-sign-sub-inv_binary64
167×distribute-rgt-in_binary64
156×sub-neg_binary64
153×distribute-lft-in_binary64
142×*-commutative_binary64
129×associate-/r/_binary64
125×associate-/l/_binary64
109×associate-*l*_binary64
106×associate-*l/_binary64
101×associate-/l*_binary64
99×associate-*r*_binary64
78×associate-*r/_binary64
72×associate-/r*_binary64
66×cube-prod_binary64
65×+-commutative_binary64
57×neg-sub0_binary64
56×distribute-neg-frac_binary64
54×log-prod_binary64
53×distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64
52×neg-mul-1_binary64
48×unswap-sqr_binary64
47×distribute-rgt-neg-out_binary64 associate--l+_binary64
46×distribute-lft-neg-in_binary64
40×exp-sum_binary64
35×sqr-pow_binary64
34×distribute-neg-in_binary64
33×associate--r+_binary64
32×distribute-rgt-out_binary64
30×unsub-neg_binary64
23×log-div_binary64
22×cube-div_binary64 *-rgt-identity_binary64
21×exp-diff_binary64 associate-+l+_binary64
17×distribute-lft-out_binary64
15×unpow3_binary64
14×*-lft-identity_binary64
13×difference-of-squares_binary64 swap-sqr_binary64
12×cube-unmult_binary64
11×cube-mult_binary64
10×distribute-rgt-out--_binary64
associate-+r+_binary64
/-rgt-identity_binary64
pow-plus_binary64
mul-1-neg_binary64 distribute-rgt1-in_binary64
exp-neg_binary64 pow-sqr_binary64 associate-+r-_binary64
distribute-frac-neg_binary64
unpow1/2_binary64 +-rgt-identity_binary64 div0_binary64
log-rec_binary64 unpow2_binary64 unpow1_binary64 cube-neg_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 *-inverses_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate-+l-_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 sqr-neg_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 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 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 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
162 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473803
17833543
224133186
345143186
455213186

prune56.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh101
Picked011
Done112
Total1143117
Error
0b
Counts
117 → 3
Compiler

Compiled 1556 to 373 computations (76% saved)

regimes535.0ms (13.9%)

Accuracy

Total 0.0b remaining (42.5%)

Threshold costs 0.0b (42.5%)

Compiler

Compiled 4821 to 3906 computations (19% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 *-commutative_binary64
distribute-neg-frac_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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-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-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
0816
11216
22116
32516
42716
52716

end1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample605.0ms (15.7%)

Algorithm
intervals
Results
224.0ms8000×body128valid
5.0ms214×body128invalid
Compiler

Compiled 80 to 68 computations (15% saved)

Profiling

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