Details

Time bar (total: 3.9s)

analyze918.0ms (23.7%)

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 (0.7%)

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms96×body80invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify63.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
072013
172013

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.9b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
5.4b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64
associate-*r/_binary64
associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 59
Calls

3 calls:

8.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms
(*.f64 y (-.f64 z t))
6.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series40.0ms (1%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
14.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
9.0ms
(*.f64 y (-.f64 z t))

simplify70.0ms (1.8%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05074847

prune54.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh000
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5
Compiler

Compiled 973 to 270 computations (72.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
4.9b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite31.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64
40×times-frac_binary64
38×*-un-lft-identity_binary64
34×associate-*r*_binary64
26×add-cube-cbrt_binary64 cbrt-prod_binary64
25×add-exp-log_binary64
18×add-cbrt-cube_binary64
cbrt-unprod_binary64 prod-exp_binary64
cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
pow1_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
pow1/3_binary64
div-inv_binary64
pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 104
Calls

4 calls:

22.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series66.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
18.0ms
(cbrt.f64 a)
14.0ms
(cbrt.f64 a)
14.0ms
(cbrt.f64 a)

simplify115.0ms (3%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
049721659
149721659

prune72.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh033
Picked011
Done011
Total1156121

Merged error: 0.0b

Counts
121 → 6
Compiler

Compiled 2317 to 684 computations (70.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
5.5b
(*.f64 (/.f64 y a) (-.f64 z t))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
13×associate-*l*_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
add-log-exp_binary64 pow1_binary64
sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 frac-times_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_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 → 52
Calls

2 calls:

12.0ms
(*.f64 (/.f64 y a) (-.f64 z t))
5.0ms
(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))

series31.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

17.0ms
(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
14.0ms
(*.f64 (/.f64 y a) (-.f64 z t))

simplify63.0ms (1.6%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04986850
14986850

prune42.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done022
Total58664

Merged error: 0.0b

Counts
64 → 6
Compiler

Compiled 991 to 343 computations (65.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 a (-.f64 z t))
0.0b
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.5b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite46.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
105×*-un-lft-identity_binary64
103×add-sqr-sqrt_binary64
71×add-cube-cbrt_binary64
26×associate-/r*_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 div-inv_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 151
Calls

3 calls:

23.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms
(/.f64 a (-.f64 z t))

series39.0ms (1%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
14.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
8.0ms
(/.f64 a (-.f64 z t))

simplify94.0ms (2.4%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049993116
149993116

prune70.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done033
Total1606166

Merged error: 0.0b

Counts
166 → 6
Compiler

Compiled 2792 to 558 computations (80% saved)

regimes545.0ms (14.1%)

Compiler

Compiled 661 to 659 computations (0.3% saved)

bsearch16.0ms (0.4%)

Steps
ItersRangePoint
2
5.39938523468761e-201
6.1095495651363545e-201
6.020779023830261e-201
4
-7.969280447419655e+22
-4.745353149139063e+22
-5.028213798595296e+22
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04251
14251

end0.0ms (0%)

sample1.4s (35.5%)

Algorithm
intervals
Results
265.0ms8000×body80valid
85.0ms2524×body80invalid
Compiler

Compiled 149 to 119 computations (20.1% saved)

Profiling

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