Details

Time bar (total: 2.0s)

analyze8.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample23.0ms (1.2%)

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify118.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0579213

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
0.7b
(/.f64 -1 (*.f64 i i))

rewrite21.0ms (1%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
associate-/r*_binary64
distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 insert-posit16
flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
Counts
2 → 56
Calls

2 calls:

13.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
6.0ms
(/.f64 -1 (*.f64 i i))

series71.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(/.f64 -1 (*.f64 i i))
32.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify118.0ms (5.8%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
05304942

prune56.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh101
Picked101
Done000
Total62264

Merged error: 0b

Counts
64 → 2
Compiler

Compiled 935 to 695 computations (25.7% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4)))
0.1b
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
0.7b
(/.f64 -1 (*.f64 i i))

rewrite51.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity_binary64
53×times-frac_binary64
42×add-sqr-sqrt_binary64
37×add-cube-cbrt_binary64
30×associate-*r*_binary64
28×cbrt-prod_binary64
22×add-exp-log_binary64
15×add-cbrt-cube_binary64
13×distribute-lft-out_binary64
associate-/l*_binary64
pow1_binary64
cbrt-unprod_binary64 prod-exp_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64
pow-prod-down_binary64 add-log-exp_binary64 unswap-sqr_binary64 div-inv_binary64 insert-posit16
flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
3 → 125
Calls

3 calls:

27.0ms
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4)))
12.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
6.0ms
(/.f64 -1 (*.f64 i i))

series167.0ms (8.2%)

Counts
3 → 9
Calls

3 calls:

66.0ms
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4)))
59.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
41.0ms
(/.f64 -1 (*.f64 i i))

simplify143.0ms (7%)

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049242669
149242669

prune187.0ms (9.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done000
Total1342136

Merged error: 0b

Counts
136 → 2
Compiler

Compiled 2993 to 2414 computations (19.3% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (pow.f64 i 6) -4)
0.2b
(*.f64 (*.f64 i i) -1/4)

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×add-exp-log_binary64 add-sqr-sqrt_binary64
add-cbrt-cube_binary64
associate-*l*_binary64
pow1_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
pow-prod-down_binary64
add-log-exp_binary64 sqr-pow_binary64 insert-posit16 *-commutative_binary64
pow-to-exp_binary64 pow-exp_binary64
Counts
2 → 46
Calls

2 calls:

8.0ms
(*.f64 (*.f64 i i) -1/4)
7.0ms
(*.f64 (pow.f64 i 6) -4)

series106.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(*.f64 (pow.f64 i 6) -4)
43.0ms
(*.f64 (*.f64 i i) -1/4)

simplify92.0ms (4.5%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05085463

prune52.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done011
Total52254

Merged error: 0b

Counts
54 → 2
Compiler

Compiled 958 to 682 computations (28.8% saved)

regimes10.0ms (0.5%)

Compiler

Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01425
11425

end0.0ms (0%)

sample756.0ms (37.2%)

Algorithm
intervals
Results
425.0ms8000×body80valid
106.0ms8000×pre80true
Compiler

Compiled 76 to 63 computations (17.1% saved)

Profiling

Loading profile data...