Details

Time bar (total: 3.8s)

analyze257.0ms (6.9%)

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)

sample34.0ms (0.9%)

Algorithm
1×intervals
Results
12.0ms248×body128valid
10.0ms279×pre128true
1.0ms23×body128nan
1.0ms8×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify425.0ms (11.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (256.0ms)

IterNodesCost
0170724
1170724

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 27.9b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.8b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (1%)

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:

12.0ms
(/.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)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series458.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

226.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
138.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
64.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
30.0ms
(*.f64 (*.f64 3 a) c)

simplify54.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049251807
149251807

prune123.0ms (3.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New711485
Fresh000
Picked101
Done000
Total721486

Merged error: 8.8b

Counts
86 → 14
Compiler

Compiled 2344 to 1431 computations (39% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune20.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 8.8b

Counts
14 → 14
Compiler

Compiled 430 to 301 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.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 (0.8%)

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))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series125.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

45.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
44.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
35.0ms
(/.f64 (*.f64 a c) b)

simplify63.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05045877

prune101.0ms (2.7%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New721587
Fresh01212
Picked101
Done101
Total7427101

Merged error: 8.7b

Counts
101 → 27
Compiler

Compiled 1717 to 1020 computations (40.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1 (*.f64 -2 (/.f64 b c)))

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
22×add-exp-log_binary64_1797
10×add-cbrt-cube_binary64_1795
9×div-exp_binary64_1810
6×prod-exp_binary64_1808
4×cbrt-undiv_binary64_1793 pow1_binary64_1820
3×times-frac_binary64_1768 add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 associate-/l*_binary64_1709 add-cube-cbrt_binary64_1794 1-exp_binary64_1803 rec-exp_binary64_1809
2×pow-flip_binary64_1833 cbrt-unprod_binary64_1792
1×associate-/r/_binary64_1710 frac-2neg_binary64_1773 inv-pow_binary64_1844 pow-prod-down_binary64_1830 clear-num_binary64_1761 associate-/r*_binary64_1708 div-inv_binary64_1759 add-log-exp_binary64_1798 associate-*r/_binary64_1706
Counts
1 → 33
Calls

1 calls:

7.0ms
(/.f64 1 (*.f64 -2 (/.f64 b c)))

series28.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify72.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04873292
14873292

prune23.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh12526
Picked011
Done000
Total352863

Merged error: 8.7b

Counts
63 → 28
Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes322.0ms (8.6%)

Compiler

Compiled 2680 to 1968 computations (26.6% saved)

bsearch3.0ms (0.1%)

Steps
ItersRangePoint
0
117.86055399250527
118.39414529717548
118.12734964484038
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08561
18561

end0.0ms (0%)

sample1.5s (40.8%)

Algorithm
1×intervals
Results
396.0ms7696×body128valid
275.0ms8947×pre128true
45.0ms947×body128nan
31.0ms304×body256valid
Compiler

Compiled 738 to 539 computations (27% saved)

Profiling

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