Details

Time bar (total: 2.8s)

analyze433.0ms (15.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078220
178220
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify66.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
078210
178210

prune14.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite47.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 flip3--_binary64 flip--_binary64
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 714 to 167 computations (76.6% saved)

series112.0ms (4%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

95.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 561 to 472 computations (15.9% saved)

simplify65.0ms (2.3%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049841063
149841063

prune41.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New63366
Fresh000
Picked101
Done000
Total64367
Error
0b
Counts
67 → 3
Compiler

Compiled 868 to 262 computations (69.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 n f))
0.1b
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

rewrite97.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
32×times-frac_binary64
22×add-cube-cbrt_binary64
21×associate-*r*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 associate-*l*_binary64 associate-/r/_binary64
unswap-sqr_binary64 associate-/l*_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*l/_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 un-div-inv_binary64 associate-*r/_binary64 distribute-lft-out_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 90
Calls

2 calls:

16.0ms
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
6.0ms
(/.f64 1 (-.f64 n f))
Compiler

Compiled 1532 to 656 computations (57.2% saved)

series188.0ms (6.6%)

Error
0b
Counts
2 → 39
Calls

2 calls:

86.0ms
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
73.0ms
(/.f64 1 (-.f64 n f))
Compiler

Compiled 1242 to 950 computations (23.5% saved)

simplify82.0ms (2.9%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
056431678

prune79.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done000
Total1293132
Error
0b
Counts
132 → 3
Compiler

Compiled 1736 to 661 computations (61.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 -1 (*.f64 2 (/.f64 n f)))
0.0b
(*.f64 2 (/.f64 n f))

rewrite45.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64
associate-*l*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
2 → 44
Calls

2 calls:

7.0ms
(*.f64 2 (/.f64 n f))
3.0ms
(-.f64 -1 (*.f64 2 (/.f64 n f)))
Compiler

Compiled 624 to 379 computations (39.3% saved)

series141.0ms (5%)

Error
0b
Counts
2 → 18
Calls

2 calls:

77.0ms
(-.f64 -1 (*.f64 2 (/.f64 n f)))
57.0ms
(*.f64 2 (/.f64 n f))
Compiler

Compiled 306 to 270 computations (11.8% saved)

simplify62.0ms (2.2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04909636
14909636

prune40.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done011
Total62365
Error
0b
Counts
65 → 3
Compiler

Compiled 659 to 390 computations (40.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (/.f64 f n))
0.1b
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))

rewrite88.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×add-sqr-sqrt_binary64
20×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
16×associate-*l*_binary64 associate-*r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
associate-*r/_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 div-inv_binary64 *-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64
Counts
2 → 70
Calls

2 calls:

9.0ms
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
7.0ms
(*.f64 2 (/.f64 f n))
Compiler

Compiled 1516 to 820 computations (45.9% saved)

series230.0ms (8.2%)

Error
0b
Counts
2 → 18
Calls

2 calls:

166.0ms
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
52.0ms
(*.f64 2 (/.f64 f n))
Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify58.0ms (2%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049631294
149631294

prune72.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391
Error
0b
Counts
91 → 3
Compiler

Compiled 1582 to 843 computations (46.7% saved)

regimes95.0ms (3.4%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Compiler

Compiled 838 to 548 computations (34.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01914
11914

end0.0ms (0%)

sample725.0ms (25.7%)

Algorithm
intervals
Results
196.0ms8000×body128valid
Compiler

Compiled 282 to 184 computations (34.8% saved)

Profiling

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