Details

Time bar (total: 2.9s)

analyze4.0ms (0.2%)

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

Compiled 16 to 11 computations (31.3% saved)

sample30.0ms (1.1%)

Algorithm
1×intervals
Results
11.0ms256×pre128true
8.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify314.0ms (11%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07010
17010

prune3.0ms (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 8 computations (42.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite24.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_1762
8×pow1_binary64_1820
7×add-sqr-sqrt_binary64_1783
6×flip3-+_binary64_1765 flip-+_binary64_1736 distribute-lft-out_binary64_1715 swap-sqr_binary64_1729
5×add-cube-cbrt_binary64_1794
4×frac-times_binary64_1772 associate-*l*_binary64_1705 associate-*r*_binary64_1704
3×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
2×associate-*l/_binary64_1707 associate-*r/_binary64_1706
1×pow-sqr_binary64_1735 pow-prod-down_binary64_1830 pow-prod-up_binary64_1829 prod-exp_binary64_1808 pow-plus_binary64_1822 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 pow2_binary64_1840
Counts
1 → 40
Calls

1 calls:

18.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series50.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify67.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05192523

prune59.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4
Compiler

Compiled 559 to 208 computations (62.8% saved)

localize30.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))
0.3b
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
0.3b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite160.0ms (5.6%)

Algorithm
1×rewrite-expression-head
Rules
20×*-un-lft-identity_binary64_1762 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
16×frac-times_binary64_1772
14×add-sqr-sqrt_binary64_1783
13×flip3-+_binary64_1765 flip-+_binary64_1736
12×flip3--_binary64_1766 flip--_binary64_1737 associate-*l*_binary64_1705
9×associate-*r*_binary64_1704
8×associate-/r/_binary64_1710 associate-/l/_binary64_1711 associate-*l/_binary64_1707 associate-*r/_binary64_1706 add-cube-cbrt_binary64_1794 pow1_binary64_1820
6×prod-exp_binary64_1808 add-log-exp_binary64_1798 cbrt-unprod_binary64_1792 sub-neg_binary64_1755
5×distribute-lft-out_binary64_1715
4×cube-prod_binary64_1787 cbrt-undiv_binary64_1793 div-exp_binary64_1810 unpow-prod-down_binary64_1838
3×distribute-rgt-in_binary64_1714 distribute-lft-in_binary64_1713
2×pow-prod-down_binary64_1830 unswap-sqr_binary64_1730 difference-of-squares_binary64_1731 *-commutative_binary64_1695 associate-+r+_binary64_1696
1×frac-2neg_binary64_1773 times-frac_binary64_1768 clear-num_binary64_1761 associate-/r*_binary64_1708 div-inv_binary64_1759 +-commutative_binary64_1694 distribute-lft-out--_binary64_1716 associate-/l*_binary64_1709 sum-cubes_binary64_1763 sum-log_binary64_1850
Counts
4 → 115
Calls

4 calls:

57.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
43.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
19.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
9.0ms
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))

series652.0ms (22.8%)

Counts
4 → 12
Calls

4 calls:

235.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
209.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
138.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
70.0ms
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))

simplify165.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049523815
149523815

prune314.0ms (11%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1261127
Fresh202
Picked101
Done101
Total1301131

Merged error: 0b

Counts
131 → 1
Compiler

Compiled 4880 to 1634 computations (66.5% saved)

localize16.0ms (0.5%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify13.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune3.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
11419

end0.0ms (0%)

sample947.0ms (33.1%)

Algorithm
1×intervals
Results
325.0ms8000×pre128true
246.0ms8000×body128valid
Compiler

Compiled 57 to 39 computations (31.6% saved)

Profiling

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