Details

Time bar (total: 3.8s)

analyze669.0ms (17.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047569
147569
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample23.0ms (0.6%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify205.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
047569
147569

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
32.6b
Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
31.4b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite60.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
32.6b
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×add-cbrt-cube_binary64 unpow-prod-down_binary64 unswap-sqr_binary64
3×pow1_binary64 prod-exp_binary64 associate-*l*_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(*.f64 2 (pow.f64 x 2))
5.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
Compiler

Compiled 437 to 371 computations (15.1% saved)

series82.0ms (2.2%)

Error
0.3b
Counts
2 → 6
Calls

2 calls:

37.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
33.0ms
(*.f64 2 (pow.f64 x 2))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify58.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04987360
14987360

prune36.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36743
Fresh000
Picked011
Done000
Total36844
Error
0.3b
Counts
44 → 8
Compiler

Compiled 461 to 328 computations (28.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 x (sqrt.f64 2))

rewrite33.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×add-cube-cbrt_binary64 *-un-lft-identity_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 228 to 188 computations (17.5% saved)

series37.0ms (1%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

34.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify50.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05010211

prune26.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh336
Picked011
Done011
Total25833
Error
0.1b
Counts
33 → 8
Compiler

Compiled 279 to 232 computations (16.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite98.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 836 to 753 computations (9.9% saved)

series99.0ms (2.6%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

57.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
39.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 135 to 130 computations (3.7% saved)

simplify89.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05269559

prune68.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh145
Picked011
Done022
Total56864
Error
0.1b
Counts
64 → 8
Compiler

Compiled 739 to 659 computations (10.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.3b
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite122.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
30×sqrt-prod_binary64
25×associate-*r*_binary64
20×add-sqr-sqrt_binary64
17×add-exp-log_binary64
12×unpow-prod-down_binary64
11×add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×prod-exp_binary64
9×add-cbrt-cube_binary64
5×unswap-sqr_binary64
4×pow1_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×pow-to-exp_binary64 pow-exp_binary64 add-log-exp_binary64 *-commutative_binary64 sqr-pow_binary64
1×pow-prod-down_binary64
Counts
2 → 61
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
9.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
Compiler

Compiled 1296 to 1192 computations (8% saved)

series227.0ms (6%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

175.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
47.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
Compiler

Compiled 171 to 166 computations (2.9% saved)

simplify87.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048871083
148871083

prune92.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done033
Total67875
Error
0.1b
Counts
75 → 8
Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes371.0ms (9.8%)

Accuracy

Total 0.2b remaining (68.3%)

Threshold costs 0.2b (68.3%)

Compiler

Compiled 1855 to 1630 computations (12.1% saved)

bsearch24.0ms (0.6%)

Steps
ItersRangePoint
10
-2.471537152608442e-308
1.19640854968688e-294
-3.89140349991603e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05834
15834

end0.0ms (0%)

sample1.2s (31.9%)

Algorithm
1×intervals
Results
328.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 406 to 354 computations (12.8% saved)

Profiling

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