Details

Time bar (total: 2.4s)

analyze255.0ms (10.5%)

Algorithm
search
egg-herbie
Rules
821×unsub-neg_binary64
715×distribute-rgt-neg-in_binary64
694×distribute-neg-in_binary64
613×sub-neg_binary64
525×distribute-lft-neg-in_binary64
516×+-commutative_binary64
436×neg-mul-1_binary64
434×neg-sub0_binary64
350×*-commutative_binary64
234×remove-double-neg_binary64
233×distribute-rgt1-in_binary64
174×distribute-rgt-out--_binary64
173×distribute-lft-neg-out_binary64
159×associate--r+_binary64
155×distribute-rgt-neg-out_binary64
140×distribute-rgt-in_binary64 associate-+l-_binary64
123×associate-*l*_binary64
120×distribute-lft-out_binary64
118×distribute-neg-out_binary64
114×cancel-sign-sub-inv_binary64
110×distribute-lft-in_binary64
109×associate-+l+_binary64
100×associate--l+_binary64
98×associate-+r-_binary64
93×associate-+r+_binary64
69×distribute-rgt-out_binary64
68×distribute-lft-out--_binary64
54×associate-*r*_binary64
45×associate--r-_binary64
37×associate--l-_binary64
36×*-lft-identity_binary64
35×cancel-sign-sub_binary64
32×distribute-lft1-in_binary64
28×*-rgt-identity_binary64
24×sub0-neg_binary64
15×+-rgt-identity_binary64
12×swap-sqr_binary64
+-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 difference-of-sqr--1_binary64
--rgt-identity_binary64 +-inverses_binary64
1-exp_binary64 sqr-neg_binary64 mul-1-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 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 /-rgt-identity_binary64 div0_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-squares_binary64 unswap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
13425
29222
324219
46157
515247
624457
730837
837637
940767
1040217
1140347
1240457
1338877
1440807
1543147
1644397
1746547
1848587
1949857
2048277
011
111
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 23 to 20 computations (13% saved)

sample31.0ms (1.3%)

Algorithm
intervals
Results
18.0ms256×body256valid
3.0ms256×pre128true
Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify240.0ms (9.9%)

Algorithm
egg-herbie
Rules
821×unsub-neg_binary64
715×distribute-rgt-neg-in_binary64
694×distribute-neg-in_binary64
613×sub-neg_binary64
525×distribute-lft-neg-in_binary64
516×+-commutative_binary64
436×neg-mul-1_binary64
434×neg-sub0_binary64
350×*-commutative_binary64
234×remove-double-neg_binary64
233×distribute-rgt1-in_binary64
174×distribute-rgt-out--_binary64
173×distribute-lft-neg-out_binary64
159×associate--r+_binary64
155×distribute-rgt-neg-out_binary64
140×distribute-rgt-in_binary64 associate-+l-_binary64
123×associate-*l*_binary64
120×distribute-lft-out_binary64
118×distribute-neg-out_binary64
114×cancel-sign-sub-inv_binary64
110×distribute-lft-in_binary64
109×associate-+l+_binary64
100×associate--l+_binary64
98×associate-+r-_binary64
93×associate-+r+_binary64
69×distribute-rgt-out_binary64
68×distribute-lft-out--_binary64
54×associate-*r*_binary64
45×associate--r-_binary64
37×associate--l-_binary64
36×*-lft-identity_binary64
35×cancel-sign-sub_binary64
32×distribute-lft1-in_binary64
28×*-rgt-identity_binary64
24×sub0-neg_binary64
15×+-rgt-identity_binary64
12×swap-sqr_binary64
+-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 difference-of-sqr--1_binary64
--rgt-identity_binary64 +-inverses_binary64
1-exp_binary64 sqr-neg_binary64 mul-1-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 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 /-rgt-identity_binary64 div0_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-squares_binary64 unswap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01228
13425
29222
324219
46157
515247
624457
730837
837637
940767
1040217
1140347
1240457
1338877
1440807
1543147
1644397
1746547
1848587
1949857
2048277

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.3b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.3b
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite42.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
add-log-exp_binary64 *-commutative_binary64
unswap-sqr_binary64
Counts
2 → 36
Calls

2 calls:

9.0ms
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
3.0ms
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
Compiler

Compiled 321 to 207 computations (35.5% saved)

series16.0ms (0.7%)

Error
0.2b
Counts
2 → 6
Calls

2 calls:

8.0ms
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
6.0ms
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
Compiler

Compiled 70 to 62 computations (11.4% saved)

simplify101.0ms (4.2%)

Algorithm
egg-herbie
Rules
427×log-div_binary64
337×associate-*l*_binary64
300×distribute-rgt-in_binary64
286×distribute-lft-in_binary64
261×sqr-pow_binary64 associate-*r/_binary64
229×associate-*l/_binary64
227×*-commutative_binary64
226×associate-+l+_binary64
193×associate-/l*_binary64
183×associate-*r*_binary64
168×cube-div_binary64
163×unswap-sqr_binary64
162×associate-/l/_binary64
158×associate-/r/_binary64
143×log-prod_binary64
132×exp-prod_binary64
125×cube-prod_binary64 associate-+r+_binary64
102×associate-/r*_binary64
101×pow-sqr_binary64
86×swap-sqr_binary64
85×+-commutative_binary64
45×*-lft-identity_binary64
41×*-rgt-identity_binary64
30×rem-sqrt-square_binary64
28×log-pow_binary64
27×times-frac_binary64
26×unpow3_binary64
23×cube-mult_binary64
21×distribute-rgt-out_binary64
17×exp-sqrt_binary64
16×pow-plus_binary64
15×distribute-lft-out_binary64
14×log-rec_binary64
unpow1/2_binary64 count-2_binary64
exp-lft-sqr_binary64
cube-unmult_binary64 sub-neg_binary64
distribute-rgt1-in_binary64
unpow2_binary64 distribute-lft1-in_binary64
unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_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-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
42 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052349
1108301
2323292
3595290
4903290
51659290
63654290
74823290
84984290

prune24.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New25631
Fresh000
Picked011
Done000
Total25732
Error
0.0b
Counts
32 → 7
Compiler

Compiled 255 to 164 computations (35.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

5.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 172 to 101 computations (41.3% saved)

series7.0ms (0.3%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

6.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 35 to 35 computations (0% saved)

simplify73.0ms (3%)

Algorithm
egg-herbie
Rules
678×associate-/l/_binary64
559×associate-/r/_binary64
350×distribute-rgt-in_binary64
315×distribute-lft-in_binary64
209×*-commutative_binary64
208×log-prod_binary64
180×sqr-pow_binary64
165×associate-*l*_binary64
152×times-frac_binary64
122×unswap-sqr_binary64 associate-*r*_binary64
116×associate-+l+_binary64
114×associate-/l*_binary64
75×pow-sqr_binary64
73×associate-+r+_binary64
58×distribute-rgt-out_binary64
53×exp-prod_binary64
48×associate-/r*_binary64
43×log-div_binary64 cube-prod_binary64
38×associate-*r/_binary64
27×log-pow_binary64
26×distribute-lft-out_binary64
19×count-2_binary64 associate-*l/_binary64
18×unpow3_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
14×cube-mult_binary64
12×swap-sqr_binary64
10×*-rgt-identity_binary64
distribute-rgt1-in_binary64
cube-unmult_binary64
distribute-lft1-in_binary64
/-rgt-identity_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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-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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
22 → 11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038219
175183
2174174
3416174
4624174
51003174
61910174
74650174
84846174

prune7.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New9211
Fresh235
Picked011
Done011
Total11718
Error
0b
Counts
18 → 7
Compiler

Compiled 88 to 67 computations (23.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))
0.3b
(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
sqrt-prod_binary64
add-log-exp_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
2 → 42
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
5.0ms
(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))
Compiler

Compiled 513 to 384 computations (25.1% saved)

series18.0ms (0.7%)

Error
0b
Counts
2 → 6
Calls

2 calls:

9.0ms
(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))
7.0ms
(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
Compiler

Compiled 91 to 90 computations (1.1% saved)

simplify64.0ms (2.7%)

Algorithm
egg-herbie
Rules
480×unswap-sqr_binary64
473×associate-*r/_binary64
465×associate-*l/_binary64
264×associate-+l+_binary64
258×associate-/l/_binary64
250×*-commutative_binary64
198×associate-/l*_binary64
182×associate-/r/_binary64
135×sqr-pow_binary64
127×associate-*r*_binary64
116×associate-*l*_binary64
75×swap-sqr_binary64
68×associate-/r*_binary64
57×pow-sqr_binary64
47×distribute-rgt-in_binary64
42×associate-+r+_binary64
39×distribute-lft-in_binary64
32×exp-prod_binary64 times-frac_binary64
30×log-prod_binary64
19×cube-prod_binary64 +-commutative_binary64
17×log-div_binary64 cube-div_binary64
13×distribute-lft-out_binary64
10×pow-plus_binary64 distribute-rgt-out_binary64
count-2_binary64
cube-unmult_binary64
log-pow_binary64 distribute-rgt1-in_binary64
unpow3_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 distribute-lft1-in_binary64
unpow2_binary64 unpow1_binary64 exp-lft-sqr_binary64 exp-sqrt_binary64 rem-sqrt-square_binary64
unpow1/2_binary64 1-exp_binary64 cube-mult_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-cbrt_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-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
48 → 41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060515
1132413
2470392
3644390
4906390
51400390
64869390

prune19.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh044
Picked011
Done022
Total41748
Error
0b
Counts
48 → 7
Compiler

Compiled 284 to 200 computations (29.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.3b
(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

rewrite46.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-*r*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64
sqrt-prod_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 42
Calls

2 calls:

9.0ms
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
7.0ms
(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
Compiler

Compiled 532 to 414 computations (22.2% saved)

series12.0ms (0.5%)

Error
0b
Counts
2 → 6
Calls

2 calls:

6.0ms
(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
5.0ms
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
Compiler

Compiled 70 to 62 computations (11.4% saved)

simplify116.0ms (4.8%)

Algorithm
egg-herbie
Rules
649×unswap-sqr_binary64
431×log-div_binary64
278×*-commutative_binary64
268×associate-*r/_binary64
234×associate-*l/_binary64
185×sqr-pow_binary64
168×associate-/l/_binary64
164×associate-/r/_binary64
160×associate-/l*_binary64
142×associate-*l*_binary64
134×associate-*r*_binary64
113×log-prod_binary64
105×distribute-rgt-in_binary64
89×distribute-lft-in_binary64
79×swap-sqr_binary64
72×pow-sqr_binary64
68×associate-/r*_binary64
57×associate-+l+_binary64
56×+-commutative_binary64
46×exp-prod_binary64
44×associate-+r+_binary64
36×rem-sqrt-square_binary64
29×cube-prod_binary64
19×distribute-lft-out_binary64
18×unpow3_binary64
17×exp-sqrt_binary64
14×log-rec_binary64
13×times-frac_binary64
12×pow-plus_binary64 *-rgt-identity_binary64
11×log-pow_binary64
10×*-lft-identity_binary64
unpow1/2_binary64 distribute-rgt-out_binary64 count-2_binary64
cube-div_binary64
exp-lft-sqr_binary64
cube-unmult_binary64
distribute-rgt1-in_binary64
unpow2_binary64
unpow1_binary64 distribute-lft1-in_binary64
1-exp_binary64 exp-1-e_binary64 cube-mult_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-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
48 → 38
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065442
1150349
2524337
3787335
41203335
51733335
64547335
74962335
85066335

prune12.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New38038
Fresh033
Picked011
Done033
Total38745
Error
0b
Counts
45 → 7
Compiler

Compiled 197 to 141 computations (28.4% saved)

regimes152.0ms (6.3%)

Accuracy

Total 0.3b remaining (94.4%)

Threshold costs 0.3b (94.4%)

Compiler

Compiled 1353 to 1079 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_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 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2117

end1.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

sample1.1s (45.5%)

Algorithm
intervals
Results
608.0ms8000×body256valid
110.0ms8000×pre128true
Compiler

Compiled 102 to 89 computations (12.7% saved)

Profiling

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