Details

Time bar (total: 2.2s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 26 to 22 computations (15.4% saved)

sample26.0ms (1.1%)

Algorithm
intervals
Results
11.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify171.0ms (7.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013613
113613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.9b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×add-log-exp_binary64_1838 *-un-lft-identity_binary64_1799
sum-log_binary64_1890 distribute-lft-out_binary64_1750
pow1_binary64_1860 add-sqr-sqrt_binary64_1821 add-cube-cbrt_binary64_1834 +-commutative_binary64_1729 add-cbrt-cube_binary64_1835 associate-+r+_binary64_1731 add-exp-log_binary64_1837 flip3-+_binary64_1802 flip-+_binary64_1773
Counts
2 → 32
Calls

2 calls:

10.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 b (+.f64 c d))

series75.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
24.0ms
(+.f64 b (+.f64 c d))

simplify57.0ms (2.6%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04956450
14956450

prune152.0ms (6.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New32638
Fresh000
Picked101
Done000
Total33639

Merged error: 2.4b

Counts
39 → 6
Compiler

Compiled 2662 to 1691 computations (36.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.9b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64_1838 *-un-lft-identity_binary64_1799
sum-log_binary64_1890 distribute-lft-out_binary64_1750
pow1_binary64_1860 add-sqr-sqrt_binary64_1821 add-cube-cbrt_binary64_1834 +-commutative_binary64_1729 add-cbrt-cube_binary64_1835 associate-+r+_binary64_1731 add-exp-log_binary64_1837 flip3-+_binary64_1802 flip-+_binary64_1773
Counts
1 → 17
Calls

1 calls:

9.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series51.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

51.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify71.0ms (3.2%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05049266

prune85.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh235
Picked011
Done000
Total161026

Merged error: 2.2b

Counts
26 → 10
Compiler

Compiled 1642 to 963 computations (41.4% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.9b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite24.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_1799
18×cbrt-prod_binary64_1830 distribute-lft-out_binary64_1750
11×add-log-exp_binary64_1838
sum-log_binary64_1890 unpow-prod-down_binary64_1878 cube-prod_binary64_1827
add-sqr-sqrt_binary64_1821 add-cube-cbrt_binary64_1834
pow1_binary64_1860 add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837 cube-div_binary64_1828 cbrt-div_binary64_1831 flip3-+_binary64_1802 flip-+_binary64_1773
+-commutative_binary64_1729 rem-cbrt-cube_binary64_1823 cube-mult_binary64_1829 pow1/3_binary64_1881 associate-+r+_binary64_1731 unpow3_binary64_1865 sqr-pow_binary64_1771
Counts
2 → 46
Calls

2 calls:

10.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series122.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
51.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify67.0ms (3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04984819
14984819

prune157.0ms (7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh628
Picked101
Done011
Total55762

Merged error: 0.4b

Counts
62 → 7
Compiler

Compiled 3118 to 1753 computations (43.8% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_1799
20×cbrt-prod_binary64_1830
16×distribute-lft-out_binary64_1750
unpow-prod-down_binary64_1878 cube-prod_binary64_1827
cube-div_binary64_1828 cbrt-div_binary64_1831
flip3-+_binary64_1802 flip-+_binary64_1773
add-sqr-sqrt_binary64_1821 add-cube-cbrt_binary64_1834 frac-add_binary64_1807
pow1_binary64_1860 rem-cbrt-cube_binary64_1823 cube-mult_binary64_1829 add-log-exp_binary64_1838 pow1/3_binary64_1881 add-cbrt-cube_binary64_1835 unpow3_binary64_1865 sqr-pow_binary64_1771 add-exp-log_binary64_1837
Counts
1 → 35
Calls

1 calls:

12.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series67.0ms (3%)

Counts
1 → 3
Calls

1 calls:

67.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify53.0ms (2.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04982818
14982818

prune130.0ms (5.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh505
Picked101
Done101
Total44145

Merged error: 0b

Counts
45 → 1
Compiler

Compiled 2527 to 1480 computations (41.4% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01918
11918

end0.0ms (0%)

sample841.0ms (37.6%)

Algorithm
intervals
Results
338.0ms8000×pre128true
218.0ms8000×body128valid
Compiler

Compiled 61 to 61 computations (0% saved)

Profiling

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