Details

Time bar (total: 2.5s)

analyze8.0ms (0.3%)

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

Compiled 24 to 20 computations (16.7% saved)

sample25.0ms (1%)

Algorithm
1×intervals
Results
10.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify96.0ms (3.9%)

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 (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
14×*-un-lft-identity_binary64_1783
7×add-log-exp_binary64_1822
6×add-sqr-sqrt_binary64_1805 distribute-lft-out_binary64_1734
5×associate-*r*_binary64_1723
4×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 pow1_binary64_1844
3×associate-*l*_binary64_1724 sum-log_binary64_1874
2×associate-*r/_binary64_1725 flip-+_binary64_1757 flip3-+_binary64_1786
1×+-commutative_binary64_1713 distribute-lft-in_binary64_1732 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 associate-+l+_binary64_1716 *-commutative_binary64_1714 distribute-rgt-in_binary64_1733 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
Counts
2 → 39
Calls

2 calls:

13.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
(+.f64 (+.f64 b c) d)

series45.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
14.0ms
(+.f64 (+.f64 b c) d)

simplify65.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04970499
14970499

prune32.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New41445
Fresh000
Picked101
Done000
Total42446

Merged error: 0b

Counts
46 → 4
Compiler

Compiled 583 to 147 computations (74.8% saved)

localize7.0ms (0.3%)

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))

rewrite15.0ms (0.6%)

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:

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

series63.0ms (2.5%)

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 (2.7%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05005471

prune29.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh123
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4
Compiler

Compiled 606 to 160 computations (73.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×add-log-exp_binary64_1822
4×sum-log_binary64_1874
3×distribute-lft-out_binary64_1734
2×add-cbrt-cube_binary64_1819 +-commutative_binary64_1713 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 flip-+_binary64_1757 *-un-lft-identity_binary64_1783 flip3-+_binary64_1786 pow1_binary64_1844
1×associate-+l+_binary64_1716
Counts
2 → 26
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 a b) (*.f64 a c)) (*.f64 a d))
4.0ms
(+.f64 (*.f64 a b) (*.f64 a c))

series63.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 (+.f64 (*.f64 a b) (*.f64 a c)) (*.f64 a d))
27.0ms
(+.f64 (*.f64 a b) (*.f64 a c))

simplify50.0ms (2%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05147407

prune21.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done011
Total32436

Merged error: 0b

Counts
36 → 4
Compiler

Compiled 469 to 123 computations (73.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
0.6b
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.6b
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.6b
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

rewrite35.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
20×associate-*r/_binary64_1725
18×cbrt-div_binary64_1815
11×pow1_binary64_1844
10×add-sqr-sqrt_binary64_1805
9×flip-+_binary64_1757 flip3-+_binary64_1786 pow1/3_binary64_1865
8×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
7×cbrt-prod_binary64_1814
6×add-exp-log_binary64_1821
4×add-cbrt-cube_binary64_1819 swap-sqr_binary64_1750 associate-*l*_binary64_1724 frac-times_binary64_1793 add-log-exp_binary64_1822 associate-*r*_binary64_1723
2×pow-prod-up_binary64_1853 associate-*l/_binary64_1726 pow-sqr_binary64_1756 pow-prod-down_binary64_1854
1×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 pow-plus_binary64_1846 *-commutative_binary64_1714 unswap-sqr_binary64_1751 pow2_binary64_1864
Counts
4 → 72
Calls

4 calls:

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

series547.0ms (21.9%)

Counts
4 → 12
Calls

4 calls:

181.0ms
(*.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
125.0ms
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
120.0ms
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
120.0ms
(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

simplify77.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049291525
149291525

prune68.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0b

Counts
88 → 4
Compiler

Compiled 2501 to 373 computations (85.1% saved)

regimes195.0ms (7.8%)

Compiler

Compiled 1679 to 1152 computations (31.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
11516

end0.0ms (0%)

sample925.0ms (37.1%)

Algorithm
1×intervals
Results
317.0ms8000×pre128true
201.0ms8000×body128valid
Compiler

Compiled 225 to 160 computations (28.9% saved)

Profiling

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