Details

Time bar (total: 4.6s)

analyze1.0s (22.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms89×body80invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify80.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
068113
168113

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
5.1b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
associate-/r*_binary64 times-frac_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64 insert-posit16 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64
Counts
2 → 38
Calls

2 calls:

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

series222.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

117.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
105.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

simplify106.0ms (2.3%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
05124664

prune44.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New40444
Fresh000
Picked011
Done000
Total40545

Merged error: 0b

Counts
45 → 5
Compiler

Compiled 654 to 179 computations (72.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.8b
(/.f64 (*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
3.9b
(*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))))

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
27×add-exp-log_binary64
19×add-cbrt-cube_binary64 add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
12×cbrt-prod_binary64
10×times-frac_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
associate-*r*_binary64
associate-/r*_binary64 pow1_binary64
associate-/l/_binary64 associate-*l*_binary64
add-log-exp_binary64 flip3--_binary64 insert-posit16 flip--_binary64 frac-times_binary64 associate-*l/_binary64
associate-*r/_binary64 pow1/3_binary64 unswap-sqr_binary64 div-inv_binary64
pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
4 → 96
Calls

4 calls:

17.0ms
(/.f64 (*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
15.0ms
(*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series735.0ms (15.8%)

Counts
4 → 12
Calls

4 calls:

305.0ms
(*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))))
153.0ms
(cbrt.f64 a)
148.0ms
(cbrt.f64 a)
129.0ms
(/.f64 (*.f64 (-.f64 z t) (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))

simplify109.0ms (2.3%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049341389
149341389

prune89.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done011
Total1085113

Merged error: 0b

Counts
113 → 5
Compiler

Compiled 1982 to 668 computations (66.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
5.9b
(*.f64 (/.f64 y a) (-.f64 t z))

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*l*_binary64
12×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
add-log-exp_binary64 sub-neg_binary64 pow1_binary64
flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 flip--_binary64 associate-+r+_binary64 frac-times_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 55
Calls

2 calls:

14.0ms
(*.f64 (/.f64 y a) (-.f64 t z))
5.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))

series232.0ms (5%)

Counts
2 → 6
Calls

2 calls:

126.0ms
(*.f64 (/.f64 y a) (-.f64 t z))
106.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))

simplify121.0ms (2.6%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
05013893

prune41.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done022
Total61566

Merged error: 0b

Counts
66 → 5
Compiler

Compiled 933 to 238 computations (74.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.6b
(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
5.0b
(/.f64 a (*.f64 y (-.f64 z t)))

rewrite41.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
44×times-frac_binary64
30×add-sqr-sqrt_binary64
29×add-exp-log_binary64
27×*-un-lft-identity_binary64
23×add-cube-cbrt_binary64
17×add-cbrt-cube_binary64
14×div-exp_binary64
11×associate-/r/_binary64
10×associate-/r*_binary64 associate-*r/_binary64
cbrt-undiv_binary64 div-inv_binary64
flip3--_binary64 associate-/l*_binary64 flip--_binary64
add-log-exp_binary64
pow1_binary64 prod-exp_binary64
1-exp_binary64 difference-of-squares_binary64 rec-exp_binary64 insert-posit16
cbrt-unprod_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64
sub-neg_binary64 diff-log_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 106
Calls

3 calls:

16.0ms
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
12.0ms
(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
8.0ms
(/.f64 a (*.f64 y (-.f64 z t)))

series333.0ms (7.2%)

Counts
3 → 9
Calls

3 calls:

125.0ms
(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
107.0ms
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
101.0ms
(/.f64 a (*.f64 y (-.f64 z t)))

simplify137.0ms (3%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
056401896

prune77.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done033
Total1155120

Merged error: 0b

Counts
120 → 5
Compiler

Compiled 1805 to 526 computations (70.9% saved)

regimes209.0ms (4.5%)

Compiler

Compiled 625 to 647 computations (-3.5% saved)

bsearch2.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
020863
120863

end0.0ms (0%)

sample870.0ms (18.7%)

Algorithm
intervals
Results
293.0ms8000×body80valid
92.0ms2606×body80invalid
Compiler

Compiled 144 to 109 computations (24.3% saved)

Profiling

Loading profile data...