Details

Time bar (total: 9.1s)

analyze2.3s (25.8%)

Algorithm
search
egg-herbie
Rules
1076×unsub-neg_binary64
729×distribute-rgt-in_binary64
702×distribute-rgt-neg-in_binary64
645×sub-neg_binary64
602×distribute-lft-neg-in_binary64
557×neg-mul-1_binary64
505×*-commutative_binary64
475×neg-sub0_binary64
398×cancel-sign-sub-inv_binary64
392×associate--r+_binary64
320×remove-double-neg_binary64
315×distribute-rgt-neg-out_binary64
277×associate-*r*_binary64
261×distribute-neg-in_binary64
247×+-commutative_binary64
244×associate-*l*_binary64
216×distribute-lft-in_binary64
206×associate--r-_binary64
164×associate-+l-_binary64
115×sub0-neg_binary64
108×associate--l+_binary64
98×associate-+l+_binary64
96×associate-+r-_binary64
95×distribute-lft-neg-out_binary64
84×distribute-neg-out_binary64
60×mul0-lft_binary64 associate--l-_binary64
54×mul0-rgt_binary64
46×+-rgt-identity_binary64
38×associate-+r+_binary64
33×--rgt-identity_binary64
21×*-lft-identity_binary64
12×distribute-lft-out--_binary64
1-exp_binary64 +-lft-identity_binary64 swap-y-z swap-y-t swap-a-b
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 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 swap-z-t
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092400
1280400
2790400
31720400
42500400
53823400
63673400
73572400
83566400
93935400
103935400
114235400
124205400
134205400
144205400
154205400
164968400
066
166
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Symmetry

(sort y z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample58.0ms (0.6%)

Algorithm
intervals
Results
12.0ms256×body128valid
5.0ms95×body128invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
213×cancel-sign-sub-inv_binary64
172×distribute-rgt-neg-in_binary64
162×unsub-neg_binary64
99×distribute-rgt-in_binary64
94×distribute-lft-neg-in_binary64
89×sub-neg_binary64 associate-*r*_binary64
81×associate-*l*_binary64
63×distribute-lft-in_binary64
53×neg-mul-1_binary64
50×distribute-lft-neg-out_binary64 associate--r+_binary64
49×neg-sub0_binary64 *-commutative_binary64
44×distribute-neg-in_binary64
31×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-neg-out_binary64
29×+-lft-identity_binary64
28×associate-+l-_binary64
24×+-commutative_binary64
21×remove-double-neg_binary64
16×sub0-neg_binary64 associate--r-_binary64
13×associate--l+_binary64
11×*-lft-identity_binary64
--rgt-identity_binary64
associate-+r-_binary64 associate-+r+_binary64
associate--l-_binary64 associate-+l+_binary64
+-rgt-identity_binary64
*-rgt-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 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01825
13825
210525
326925
440925
562925
674125
792425
890425
990525
1090525
1190525
1278825

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
4.6b
Counts
1 → 1
Compiler

Compiled 17 to 17 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.4b
(*.f64 (*.f64 y 9) z)
8.2b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite134.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
add-log-exp_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64 *-commutative_binary64
sum-log_binary64 associate-+l+_binary64
diff-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 +-commutative_binary64
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1622 to 1070 computations (34% saved)

series194.0ms (2.1%)

Error
3.2b
Counts
4 → 57
Calls

4 calls:

118.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
31.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
17.0ms
(*.f64 (*.f64 y 9) z)
15.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1572 to 1581 computations (-0.6% saved)

simplify147.0ms (1.6%)

Algorithm
egg-herbie
Rules
411×exp-prod_binary64
385×log-prod_binary64
349×associate-*l*_binary64
282×distribute-rgt-neg-in_binary64
247×associate-*r*_binary64
221×distribute-lft-neg-in_binary64
214×cancel-sign-sub-inv_binary64
190×distribute-rgt-in_binary64
179×distribute-lft-in_binary64
150×sqr-pow_binary64
132×swap-sqr_binary64
128×*-commutative_binary64
115×cube-prod_binary64
105×neg-mul-1_binary64 neg-sub0_binary64
100×sub-neg_binary64 distribute-lft-neg-out_binary64
90×distribute-rgt-neg-out_binary64
83×unswap-sqr_binary64
80×unsub-neg_binary64
78×times-frac_binary64
73×associate-+l+_binary64
71×distribute-neg-in_binary64
70×associate-+r+_binary64
48×+-commutative_binary64
44×exp-sum_binary64
35×unpow3_binary64
26×distribute-rgt-out_binary64
23×*-lft-identity_binary64
22×exp-diff_binary64
19×remove-double-neg_binary64 pow-sqr_binary64
18×*-rgt-identity_binary64 associate--r+_binary64
16×cube-mult_binary64 distribute-lft-out_binary64
14×distribute-rgt-out--_binary64 associate-+l-_binary64
12×associate--l+_binary64 associate-+r-_binary64
11×div-exp_binary64
10×distribute-neg-out_binary64
prod-exp_binary64 distribute-lft-out--_binary64
cube-unmult_binary64 associate-/l*_binary64
unpow1/2_binary64 sub0-neg_binary64
+-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
associate--r-_binary64
--rgt-identity_binary64 associate-/r*_binary64
difference-of-squares_binary64 cancel-sign-sub_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
unpow1_binary64 exp-lft-sqr_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 count-2_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-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
129 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01502034
13861875
214921863
330471863
446091863
549961863
649821863

prune70.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh000
Picked101
Done000
Total82890
Error
0.0b
Counts
90 → 8
Compiler

Compiled 1141 to 676 computations (40.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
7.3b
(*.f64 (*.f64 y 9) (*.f64 t z))

rewrite123.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
21×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
11×pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*r*_binary64
associate-*l*_binary64 *-commutative_binary64 diff-log_binary64 sum-log_binary64 sub-neg_binary64 associate-+l+_binary64 cancel-sign-sub-inv_binary64
flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 +-commutative_binary64 flip3--_binary64 flip--_binary64
Counts
4 → 67
Calls

4 calls:

7.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y 9) (*.f64 t z))
5.0ms
(*.f64 (*.f64 a 27) b)
4.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
Compiler

Compiled 1615 to 991 computations (38.6% saved)

series238.0ms (2.6%)

Error
0.0b
Counts
4 → 75
Calls

4 calls:

119.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
61.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
29.0ms
(*.f64 (*.f64 y 9) (*.f64 t z))
17.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1934 to 1954 computations (-1% saved)

simplify137.0ms (1.5%)

Algorithm
egg-herbie
Rules
331×cancel-sign-sub-inv_binary64
304×distribute-rgt-neg-in_binary64
290×associate-*l*_binary64
288×exp-prod_binary64
272×distribute-lft-neg-in_binary64
239×associate-*r*_binary64
223×log-prod_binary64
216×neg-mul-1_binary64 neg-sub0_binary64
207×distribute-rgt-in_binary64
197×distribute-lft-in_binary64
147×sqr-pow_binary64
120×sub-neg_binary64
116×*-commutative_binary64
109×cube-prod_binary64
96×times-frac_binary64
95×unsub-neg_binary64
70×exp-sum_binary64
65×associate-+l+_binary64
61×exp-diff_binary64
60×distribute-rgt-out_binary64
58×associate-+r+_binary64 +-commutative_binary64
46×swap-sqr_binary64
42×unpow3_binary64
32×distribute-lft-out_binary64
30×distribute-lft-neg-out_binary64
20×cube-mult_binary64
19×prod-exp_binary64 remove-double-neg_binary64
18×unswap-sqr_binary64 associate--r+_binary64
17×div-exp_binary64
16×associate-+l-_binary64
14×pow-sqr_binary64 associate-+r-_binary64
12×difference-of-squares_binary64 distribute-rgt-out--_binary64 associate--l+_binary64
11×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-neg-out_binary64
sub0-neg_binary64 distribute-neg-in_binary64 associate-/l*_binary64
+-rgt-identity_binary64 distribute-lft-out--_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
cube-unmult_binary64 associate--r-_binary64
unpow1/2_binary64 --rgt-identity_binary64 associate-/r*_binary64
associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-neg-out_binary64 count-2_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-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
142 → 109
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472305
14012254
214512242
335662242
446882242
549282242

prune62.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh077
Picked011
Done000
Total1089117
Error
0.0b
Counts
117 → 9
Compiler

Compiled 1156 to 637 computations (44.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 t (*.f64 9 y)) z)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.5b
(*.f64 t (*.f64 9 y))
3.7b
(*.f64 (*.f64 t (*.f64 9 y)) z)

rewrite138.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
add-log-exp_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
associate-*l*_binary64
*-commutative_binary64
sum-log_binary64 associate-+l+_binary64
diff-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 +-commutative_binary64
Counts
4 → 72
Calls

4 calls:

8.0ms
(*.f64 (*.f64 t (*.f64 9 y)) z)
7.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 t (*.f64 9 y)) z)) (*.f64 (*.f64 a 27) b))
5.0ms
(*.f64 t (*.f64 9 y))
5.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1603 to 1057 computations (34.1% saved)

series192.0ms (2.1%)

Error
0.0b
Counts
4 → 57
Calls

4 calls:

119.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 t (*.f64 9 y)) z)) (*.f64 (*.f64 a 27) b))
29.0ms
(*.f64 (*.f64 t (*.f64 9 y)) z)
17.0ms
(*.f64 t (*.f64 9 y))
16.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1572 to 1582 computations (-0.6% saved)

simplify121.0ms (1.3%)

Algorithm
egg-herbie
Rules
426×exp-prod_binary64
344×log-prod_binary64
325×associate-*l*_binary64
286×distribute-rgt-neg-in_binary64
262×associate-*r*_binary64
222×distribute-lft-neg-in_binary64
207×cancel-sign-sub-inv_binary64
190×distribute-rgt-in_binary64
179×distribute-lft-in_binary64
146×sqr-pow_binary64
127×swap-sqr_binary64
123×*-commutative_binary64
119×cube-prod_binary64
103×distribute-lft-neg-out_binary64
101×neg-mul-1_binary64 neg-sub0_binary64
100×sub-neg_binary64
90×distribute-rgt-neg-out_binary64
82×unswap-sqr_binary64
80×unsub-neg_binary64
78×times-frac_binary64
71×distribute-neg-in_binary64
68×associate-+l+_binary64
60×associate-+r+_binary64
48×+-commutative_binary64
44×exp-sum_binary64
32×unpow3_binary64
26×distribute-rgt-out_binary64
23×exp-diff_binary64
18×remove-double-neg_binary64 pow-sqr_binary64 associate--r+_binary64
17×*-lft-identity_binary64
16×*-rgt-identity_binary64 distribute-lft-out_binary64
15×cube-mult_binary64
14×distribute-rgt-out--_binary64 associate-+l-_binary64
12×associate--l+_binary64 associate-+r-_binary64
11×div-exp_binary64
10×distribute-neg-out_binary64 associate-/l*_binary64
prod-exp_binary64 distribute-lft-out--_binary64
cube-unmult_binary64
sub0-neg_binary64
unpow1/2_binary64 +-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
associate--r-_binary64
--rgt-identity_binary64 associate-/r*_binary64
difference-of-squares_binary64 cancel-sign-sub_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
unpow1_binary64 exp-lft-sqr_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 count-2_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-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
129 → 90
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492035
13831876
215161864
330491864
446011864
549601864

prune69.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New87390
Fresh257
Picked011
Done011
Total891099
Error
0b
Counts
99 → 10
Compiler

Compiled 1141 to 679 computations (40.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 9 (*.f64 t y))
0.2b
(*.f64 (*.f64 a 27) b)
3.7b
(*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)

rewrite145.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64
16×add-cbrt-cube_binary64
15×pow1_binary64
14×prod-exp_binary64
11×add-sqr-sqrt_binary64
add-log-exp_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64
pow-exp_binary64 *-commutative_binary64
unswap-sqr_binary64 sqr-pow_binary64 sum-log_binary64 associate-+l+_binary64
pow-to-exp_binary64 unpow-prod-down_binary64 diff-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 +-commutative_binary64
Counts
4 → 76
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)) (*.f64 (*.f64 a 27) b))
6.0ms
(*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)
5.0ms
(*.f64 9 (*.f64 t y))
5.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1902 to 1243 computations (34.6% saved)

series195.0ms (2.1%)

Error
0b
Counts
4 → 57
Calls

4 calls:

119.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)) (*.f64 (*.f64 a 27) b))
32.0ms
(*.f64 (pow.f64 (*.f64 9 (*.f64 t y)) 1) z)
18.0ms
(*.f64 9 (*.f64 t y))
17.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1624 to 1633 computations (-0.6% saved)

simplify125.0ms (1.4%)

Algorithm
egg-herbie
Rules
357×exp-prod_binary64
293×log-prod_binary64
287×associate-*l*_binary64
241×associate-*r*_binary64
224×cancel-sign-sub-inv_binary64
203×distribute-rgt-in_binary64
192×distribute-lft-in_binary64
166×sqr-pow_binary64
153×unswap-sqr_binary64
147×distribute-rgt-neg-in_binary64
142×swap-sqr_binary64
129×cube-prod_binary64 distribute-lft-neg-in_binary64
115×*-commutative_binary64
113×neg-mul-1_binary64
112×neg-sub0_binary64
98×sub-neg_binary64
80×unsub-neg_binary64
78×times-frac_binary64
72×associate-+l+_binary64
69×distribute-neg-in_binary64
66×associate-+r+_binary64
60×unpow3_binary64
48×+-commutative_binary64
43×exp-sum_binary64
27×*-rgt-identity_binary64
26×distribute-rgt-out_binary64
25×*-lft-identity_binary64
21×exp-diff_binary64 cube-mult_binary64 pow-sqr_binary64
20×distribute-lft-neg-out_binary64
18×associate--r+_binary64
16×distribute-lft-out_binary64
15×remove-double-neg_binary64
14×distribute-rgt-out--_binary64 associate-+l-_binary64
12×cube-unmult_binary64 associate--l+_binary64 associate-+r-_binary64
11×div-exp_binary64
10×log-pow_binary64 pow-plus_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 associate-/l*_binary64
prod-exp_binary64 distribute-lft-out--_binary64
unpow1/2_binary64 sub0-neg_binary64
+-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
associate--r-_binary64
unpow1_binary64 --rgt-identity_binary64 count-2_binary64 associate-/r*_binary64
rem-sqrt-square_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
unpow-1_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_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 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
133 → 86
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01652062
13741954
214691942
332561942
447201942
549421942

prune58.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh077
Picked011
Done022
Total861096
Error
0b
Counts
96 → 10
Compiler

Compiled 1009 to 551 computations (45.4% saved)

regimes2.1s (22.7%)

Accuracy

Total 0.6b remaining (93.6%)

Threshold costs 0.6b (93.6%)

Compiler

Compiled 20276 to 19919 computations (1.8% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 10 computations (-42.9% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
27×*-commutative_binary64
18×distribute-rgt-neg-in_binary64 +-commutative_binary64
15×sub-neg_binary64 distribute-lft-neg-in_binary64
12×neg-mul-1_binary64 neg-sub0_binary64
cancel-sign-sub-inv_binary64
distribute-lft-neg-out_binary64
unpow1_binary64 1-exp_binary64 *-lft-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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040105
175105
2112105
3147105
4169105
5176105
6177105
7175105

end57.0ms (0.6%)

Compiler

Compiled 355 to 265 computations (25.4% saved)

sample2.3s (25.1%)

Algorithm
intervals
Results
425.0ms8000×body128valid
177.0ms3155×body128invalid
Compiler

Compiled 331 to 316 computations (4.5% saved)

Profiling

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