Details

Time bar (total: 2.9s)

analyze3.0ms (0.1%)

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

Compiled 24 to 20 computations (16.7% saved)

sample26.0ms (0.9%)

Algorithm
1×intervals
Results
11.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify162.0ms (5.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04310
14310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64_1762
5×add-sqr-sqrt_binary64_1783 associate-*r*_binary64_1704
3×distribute-lft-out_binary64_1715 add-cube-cbrt_binary64_1794 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820 associate-*l*_binary64_1705
2×associate-*r/_binary64_1706
1×pow-prod-down_binary64_1830 prod-exp_binary64_1808 flip3-+_binary64_1765 flip-+_binary64_1736 unswap-sqr_binary64_1730 add-log-exp_binary64_1798 cbrt-unprod_binary64_1792 distribute-rgt-in_binary64_1714 *-commutative_binary64_1695 distribute-lft-in_binary64_1713
Counts
1 → 24
Calls

1 calls:

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

series62.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

62.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify69.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05168312

prune25.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New24327
Fresh000
Picked101
Done000
Total25328

Merged error: 0.0b

Counts
28 → 3
Compiler

Compiled 353 to 93 computations (73.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
0.0b
(*.f64 a (+.f64 b c))

rewrite16.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762
4×add-log-exp_binary64_1798 add-cube-cbrt_binary64_1794 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820 associate-*r*_binary64_1704
3×associate-*l*_binary64_1705
2×flip3-+_binary64_1765 flip-+_binary64_1736 associate-*r/_binary64_1706 distribute-rgt-in_binary64_1714 distribute-lft-in_binary64_1713 distribute-lft-out_binary64_1715 associate-+l+_binary64_1697
1×pow-prod-down_binary64_1830 prod-exp_binary64_1808 unswap-sqr_binary64_1730 +-commutative_binary64_1694 cbrt-unprod_binary64_1792 *-commutative_binary64_1695 sum-log_binary64_1850
Counts
2 → 37
Calls

2 calls:

7.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
6.0ms
(*.f64 a (+.f64 b c))

series112.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

63.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
49.0ms
(*.f64 a (+.f64 b c))

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04995471
14995471

prune28.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done000
Total43346

Merged error: 0.0b

Counts
46 → 3
Compiler

Compiled 578 to 149 computations (74.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.5b
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

rewrite56.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
61×pow1_binary64_1820
32×sqrt-pow1_binary64_1779
23×pow-prod-down_binary64_1830
20×associate-*r/_binary64_1706
16×sqrt-div_binary64_1778
15×*-un-lft-identity_binary64_1762
14×add-sqr-sqrt_binary64_1783
12×pow1/2_binary64_1839
10×pow-prod-up_binary64_1829 add-cube-cbrt_binary64_1794
9×flip3-+_binary64_1765 flip-+_binary64_1736 associate-*r*_binary64_1704
8×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
7×associate-*l*_binary64_1705
6×pow-sqr_binary64_1735 sqrt-prod_binary64_1777
4×frac-times_binary64_1772 add-log-exp_binary64_1798 swap-sqr_binary64_1729
3×distribute-lft-out_binary64_1715
2×prod-exp_binary64_1808 unswap-sqr_binary64_1730 associate-*l/_binary64_1707 cbrt-unprod_binary64_1792 *-commutative_binary64_1695
1×pow-plus_binary64_1822 sqrt-unprod_binary64_1781 distribute-rgt-in_binary64_1714 rem-square-sqrt_binary64_1774 distribute-lft-in_binary64_1713 pow2_binary64_1840
Counts
4 → 107
Calls

4 calls:

20.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
12.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
7.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

series705.0ms (24.2%)

Counts
4 → 12
Calls

4 calls:

298.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
294.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
59.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
55.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify68.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049021724
149021724

prune83.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh011
Picked011
Done011
Total1184122

Merged error: 0.0b

Counts
122 → 4
Compiler

Compiled 2322 to 438 computations (81.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.3b
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite31.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_1762
11×add-sqr-sqrt_binary64_1783 associate-*l*_binary64_1705
9×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
7×sqrt-prod_binary64_1777 add-cube-cbrt_binary64_1794 associate-*r*_binary64_1704
4×pow-prod-down_binary64_1830 prod-exp_binary64_1808 associate-*l/_binary64_1707 cbrt-unprod_binary64_1792
3×distribute-lft-out_binary64_1715
2×flip3-+_binary64_1765 flip-+_binary64_1736 unswap-sqr_binary64_1730 add-log-exp_binary64_1798 associate-*r/_binary64_1706 *-commutative_binary64_1695
Counts
2 → 49
Calls

2 calls:

16.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
11.0ms
(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))

series232.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

130.0ms
(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
102.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

simplify69.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05445760

prune34.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53255
Fresh011
Picked011
Done022
Total53659

Merged error: 0b

Counts
59 → 6
Compiler

Compiled 803 to 155 computations (80.7% saved)

regimes133.0ms (4.5%)

Compiler

Compiled 835 to 611 computations (26.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample915.0ms (31.3%)

Algorithm
1×intervals
Results
335.0ms8000×pre128true
205.0ms8000×body128valid
Compiler

Compiled 135 to 103 computations (23.7% saved)

Profiling

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