Details

Time bar (total: 2.1s)

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)

sample30.0ms (1.5%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
10.0ms256×pre128true
Compiler

Compiled 31 to 31 computations (0% saved)

simplify94.0ms (4.6%)

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: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64_1783
5×add-sqr-sqrt_binary64_1805 associate-*r*_binary64_1723
3×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 distribute-lft-out_binary64_1734 associate-*l*_binary64_1724 pow1_binary64_1844
2×associate-*r/_binary64_1725
1×distribute-lft-in_binary64_1732 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 flip-+_binary64_1757 *-commutative_binary64_1714 distribute-rgt-in_binary64_1733 flip3-+_binary64_1786 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751 add-log-exp_binary64_1822
Counts
1 → 24
Calls

1 calls:

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

series34.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify66.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05133312

prune21.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528

Merged error: 0b

Counts
28 → 5
Compiler

Compiled 361 to 103 computations (71.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
4×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 add-log-exp_binary64_1822 associate-*r*_binary64_1723 pow1_binary64_1844
3×associate-*l*_binary64_1724
2×associate-*r/_binary64_1725 distribute-lft-in_binary64_1732 distribute-lft-out_binary64_1734 flip-+_binary64_1757 associate-+l+_binary64_1716 distribute-rgt-in_binary64_1733 flip3-+_binary64_1786
1×+-commutative_binary64_1713 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 *-commutative_binary64_1714 sum-log_binary64_1874 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
Counts
2 → 37
Calls

2 calls:

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

series63.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
26.0ms
(*.f64 a (+.f64 b c))

simplify68.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05005471

prune26.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh123
Picked011
Done011
Total43548

Merged error: 0b

Counts
48 → 5
Compiler

Compiled 584 to 157 computations (73.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
4×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 add-log-exp_binary64_1822 associate-*r*_binary64_1723 pow1_binary64_1844
3×associate-*l*_binary64_1724
2×associate-+r+_binary64_1715 associate-*r/_binary64_1725 distribute-lft-in_binary64_1732 flip-+_binary64_1757 distribute-rgt-in_binary64_1733 flip3-+_binary64_1786
1×+-commutative_binary64_1713 distribute-lft-out_binary64_1734 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 *-commutative_binary64_1714 sum-log_binary64_1874 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
Counts
2 → 36
Calls

2 calls:

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

series59.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(+.f64 (*.f64 b a) (*.f64 a (+.f64 c d)))
25.0ms
(*.f64 a (+.f64 c d))

simplify55.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05440464

prune24.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done022
Total42547

Merged error: 0b

Counts
47 → 5
Compiler

Compiled 568 to 151 computations (73.4% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b
(sqrt.f64 (+.f64 (+.f64 b c) d))
0.2b
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.4b
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite45.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
31×*-un-lft-identity_binary64_1783
21×sqrt-prod_binary64_1799
18×sqrt-div_binary64_1800
17×add-sqr-sqrt_binary64_1805
16×associate-*r*_binary64_1723
13×pow1_binary64_1844
12×distribute-lft-out_binary64_1734
11×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818
10×associate-*r/_binary64_1725
9×flip-+_binary64_1757 flip3-+_binary64_1786
4×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 associate-*l*_binary64_1724 frac-times_binary64_1793 pow-prod-down_binary64_1854 add-log-exp_binary64_1822
2×pow1/2_binary64_1863 associate-*l/_binary64_1726 *-commutative_binary64_1714 sqrt-pow1_binary64_1801 unswap-sqr_binary64_1751 rem-sqrt-square_binary64_1796
Counts
4 → 91
Calls

4 calls:

17.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
10.0ms
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
5.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
5.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))

series215.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

83.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
71.0ms
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
31.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
30.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify84.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049391685
149391685

prune65.0ms (3.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done033
Total1035108

Merged error: 0b

Counts
108 → 5
Compiler

Compiled 2075 to 339 computations (83.7% saved)

regimes159.0ms (7.7%)

Compiler

Compiled 1333 to 911 computations (31.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample882.0ms (42.7%)

Algorithm
1×intervals
Results
312.0ms8000×pre128true
200.0ms8000×body128valid
Compiler

Compiled 198 to 141 computations (28.8% saved)

Profiling

Loading profile data...