Details

Time bar (total: 5.1s)

analyze257.0ms (5%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample28.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify196.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
0492419
1492419

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite167.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
27×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64 associate-*r*_binary64
10×associate-*l*_binary64
flip3--_binary64 flip--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow1_binary64
associate-*r/_binary64 difference-of-squares_binary64
frac-times_binary64 sub-neg_binary64
prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 times-frac_binary64 associate-/r*_binary64 distribute-lft-out--_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/l/_binary64 pow-prod-down_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 difference-of-sqr-1_binary64
Counts
3 → 95
Calls

3 calls:

16.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 2176 to 1495 computations (31.3% saved)

series319.0ms (6.2%)

Error
0b
Counts
3 → 33
Calls

3 calls:

136.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
114.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
41.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1066 to 804 computations (24.6% saved)

simplify73.0ms (1.4%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050172129

prune119.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1253128
Fresh000
Picked011
Done000
Total1254129
Error
0b
Counts
129 → 4
Compiler

Compiled 2360 to 1388 computations (41.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (*.f64 (/.f64 m v) m))
0.0b
(+.f64 m (/.f64 m v))
0.2b
(*.f64 (/.f64 m v) m)
9.9b
(/.f64 (pow.f64 m 3) v)

rewrite180.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
46×times-frac_binary64
43×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
38×add-cube-cbrt_binary64
23×add-exp-log_binary64
20×add-cbrt-cube_binary64
16×associate-*l*_binary64
12×unpow-prod-down_binary64 cube-prod_binary64 associate-/l*_binary64
11×pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64
add-log-exp_binary64
div-exp_binary64
unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 pow-prod-down_binary64 associate-*r*_binary64
cbrt-undiv_binary64 associate-/r*_binary64
div-inv_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64
pow-to-exp_binary64 pow-exp_binary64 frac-2neg_binary64 clear-num_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 associate-*r/_binary64
Counts
4 → 130
Calls

4 calls:

7.0ms
(*.f64 (/.f64 m v) m)
7.0ms
(*.f64 2 (*.f64 (/.f64 m v) m))
6.0ms
(+.f64 m (/.f64 m v))
6.0ms
(/.f64 (pow.f64 m 3) v)
Compiler

Compiled 3677 to 1647 computations (55.2% saved)

series313.0ms (6.1%)

Error
0b
Counts
4 → 26
Calls

4 calls:

84.0ms
(*.f64 2 (*.f64 (/.f64 m v) m))
78.0ms
(/.f64 (pow.f64 m 3) v)
72.0ms
(*.f64 (/.f64 m v) m)
57.0ms
(+.f64 m (/.f64 m v))
Compiler

Compiled 1594 to 1059 computations (33.6% saved)

simplify48.0ms (0.9%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050851699

prune154.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done011
Total1564160
Error
0b
Counts
160 → 4
Compiler

Compiled 3962 to 1674 computations (57.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 v (-.f64 1 m))
0.0b
(/.f64 m (/.f64 v (-.f64 1 m)))
0.0b
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

rewrite302.0ms (5.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
171×times-frac_binary64
157×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
83×add-cube-cbrt_binary64
40×difference-of-squares_binary64
30×associate-/r*_binary64
18×distribute-lft-out--_binary64
13×associate-*l*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
11×flip3--_binary64 flip--_binary64 associate-/r/_binary64
cancel-sign-sub-inv_binary64 associate-*r*_binary64 div-inv_binary64 associate-/l*_binary64
pow1_binary64
frac-times_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 div-exp_binary64 cbrt-undiv_binary64
add-log-exp_binary64 difference-of-sqr-1_binary64
sub-neg_binary64 associate-*l/_binary64 associate-*r/_binary64 frac-2neg_binary64 clear-num_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 202
Calls

3 calls:

38.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
10.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms
(/.f64 v (-.f64 1 m))
Compiler

Compiled 4999 to 3235 computations (35.3% saved)

series341.0ms (6.7%)

Error
0b
Counts
3 → 42
Calls

3 calls:

135.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
98.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
76.0ms
(/.f64 v (-.f64 1 m))
Compiler

Compiled 1468 to 1071 computations (27% saved)

simplify111.0ms (2.2%)

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049794974
149794974

prune251.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2440244
Fresh011
Picked011
Done022
Total2444248
Error
0b
Counts
248 → 4
Compiler

Compiled 5166 to 3049 computations (41% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 m (*.f64 m m))
0.0b
(/.f64 (*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m))) v)
0.1b
(*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m)))

rewrite90.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64
13×flip3--_binary64 flip--_binary64
12×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
frac-times_binary64 associate-/l/_binary64
add-cube-cbrt_binary64
associate-*l*_binary64
pow1_binary64 add-log-exp_binary64 associate-*r*_binary64
associate-*l/_binary64 associate-*r/_binary64 difference-of-squares_binary64
sub-neg_binary64 cancel-sign-sub-inv_binary64 times-frac_binary64 associate-/r*_binary64
prod-exp_binary64 cbrt-unprod_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-rgt-out--_binary64 div-exp_binary64 cbrt-undiv_binary64
pow-prod-down_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 diff-log_binary64
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m))) v)
9.0ms
(*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m)))
3.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 1644 to 685 computations (58.3% saved)

series314.0ms (6.1%)

Error
0b
Counts
3 → 27
Calls

3 calls:

174.0ms
(/.f64 (*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m))) v)
83.0ms
(*.f64 (-.f64 1 m) (-.f64 m (*.f64 m m)))
38.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 732 to 561 computations (23.4% saved)

simplify95.0ms (1.9%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049921630
149921630

prune78.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done033
Total1054109
Error
0b
Counts
109 → 4
Compiler

Compiled 1691 to 745 computations (55.9% saved)

regimes216.0ms (4.2%)

Accuracy

Total 0.1b remaining (95.8%)

Threshold costs 0.1b (95.8%)

Compiler

Compiled 2217 to 1763 computations (20.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08731
18731

end0.0ms (0%)

sample1.4s (27.8%)

Algorithm
intervals
Results
293.0ms8000×body128valid
154.0ms8061×pre128true
2.0ms61×body128invalid
Compiler

Compiled 750 to 594 computations (20.8% saved)

Profiling

Loading profile data...