Details

Time bar (total: 5.2s)

analyze276.0ms (5.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample38.0ms (0.7%)

Algorithm
1×intervals
Results
9.0ms290×pre128true
9.0ms87×body256valid
8.0ms169×body128valid
2.0ms34×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify424.0ms (8.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (264.0ms)

IterNodesCost
0170724
1170724

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 41.9b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
37.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_1783
14×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
13×*-un-lft-identity_binary64_1762
9×pow1_binary64_1820
8×add-log-exp_binary64_1798
7×add-cube-cbrt_binary64_1794
6×times-frac_binary64_1768 difference-of-squares_binary64_1731 associate-/l*_binary64_1709
4×prod-exp_binary64_1808 cbrt-unprod_binary64_1792
3×flip3--_binary64_1766 pow-prod-down_binary64_1830 distribute-lft-out--_binary64_1716 sqrt-prod_binary64_1777 flip--_binary64_1737 associate-*r*_binary64_1704
2×diff-log_binary64_1851 associate-/l/_binary64_1711 cbrt-undiv_binary64_1793 div-exp_binary64_1810 sub-neg_binary64_1755
1×frac-2neg_binary64_1773 div-sub_binary64_1767 clear-num_binary64_1761 associate-/r*_binary64_1708 div-inv_binary64_1759 *-commutative_binary64_1695 associate-*l*_binary64_1705
Counts
4 → 73
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series446.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

224.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
132.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
61.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
29.0ms
(*.f64 (*.f64 3 a) c)

simplify56.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049251807
149251807

prune136.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New721385
Fresh000
Picked101
Done000
Total731386

Merged error: 5.6b

Counts
86 → 13
Compiler

Compiled 2331 to 1419 computations (39.1% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune21.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.6b

Counts
13 → 13
Compiler

Compiled 417 to 289 computations (30.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
17×prod-exp_binary64_1808 cbrt-unprod_binary64_1792
16×cbrt-undiv_binary64_1793 div-exp_binary64_1810
10×add-sqr-sqrt_binary64_1783
8×*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
7×times-frac_binary64_1768 associate-*r*_binary64_1704
5×pow1_binary64_1820
4×associate-/r*_binary64_1708
3×div-inv_binary64_1759 add-log-exp_binary64_1798 associate-*l*_binary64_1705
2×frac-2neg_binary64_1773 clear-num_binary64_1761 associate-*r/_binary64_1706 associate-/l*_binary64_1709
1×pow-prod-down_binary64_1830 associate-/l/_binary64_1711 unswap-sqr_binary64_1730 *-commutative_binary64_1695
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
8.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series110.0ms (2.1%)

Counts
3 → 9
Calls

3 calls:

42.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
34.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
33.0ms
(/.f64 (*.f64 a c) b)

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05045877

prune97.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New751287
Fresh01111
Picked101
Done011
Total7624100

Merged error: 5.5b

Counts
100 → 24
Compiler

Compiled 1680 to 979 computations (41.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
0.3b
(*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b)))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))

rewrite53.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
37×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
20×associate-*r*_binary64_1704
17×add-sqr-sqrt_binary64_1783
15×sqrt-prod_binary64_1777
14×prod-exp_binary64_1808 cbrt-unprod_binary64_1792
13×*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
11×pow1_binary64_1820
10×times-frac_binary64_1768
9×sqrt-div_binary64_1778
8×cbrt-undiv_binary64_1793 div-exp_binary64_1810
7×associate-*r/_binary64_1706
4×pow-prod-down_binary64_1830 associate-/r*_binary64_1708 div-inv_binary64_1759 add-log-exp_binary64_1798 associate-*l*_binary64_1705
3×associate-/l/_binary64_1711
2×frac-2neg_binary64_1773 frac-times_binary64_1772 clear-num_binary64_1761 unswap-sqr_binary64_1730 associate-*l/_binary64_1707 *-commutative_binary64_1695 associate-/l*_binary64_1709
Counts
4 → 104
Calls

4 calls:

16.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
14.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
8.0ms
(*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b)))
5.0ms
(/.f64 (*.f64 a c) b)

series368.0ms (7%)

Counts
4 → 12
Calls

4 calls:

126.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
120.0ms
(*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b)))
90.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
32.0ms
(/.f64 (*.f64 a c) b)

simplify71.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049501516
149501516

prune100.0ms (1.9%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1097116
Fresh31922
Picked011
Done011
Total11228140

Merged error: 5.5b

Counts
140 → 28
Compiler

Compiled 2224 to 869 computations (60.9% saved)

regimes644.0ms (12.3%)

Compiler

Compiled 6811 to 4966 computations (27.1% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (42.2%)

Algorithm
1×intervals
Results
288.0ms2914×body256valid
279.0ms8874×pre128true
268.0ms5086×body128valid
46.0ms874×body128nan
Compiler

Compiled 1437 to 1043 computations (27.4% saved)

Profiling

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