Details

Time bar (total: 7.7s)

analyze505.0ms (6.5%)

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)

sample61.0ms (0.8%)

Algorithm
1×intervals
Results
23.0ms245×body128valid
16.0ms287×pre128true
3.0ms31×body128nan
2.0ms11×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify782.0ms (10.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (485.0ms)

IterNodesCost
0170724
1170724

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 28.1b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(-.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))
27.9b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite73.0ms (0.9%)

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:

24.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
17.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
11.0ms
(*.f64 (*.f64 3 a) c)
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series871.0ms (11.2%)

Counts
4 → 12
Calls

4 calls:

440.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
251.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
124.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
55.0ms
(*.f64 (*.f64 3 a) c)

simplify100.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049251807
149251807

prune254.0ms (3.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New671885
Fresh000
Picked101
Done000
Total681886

Merged error: 9.1b

Counts
86 → 18
Compiler

Compiled 2407 to 1485 computations (38.3% saved)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune48.0ms (0.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01717
Picked011
Done000
Total01818

Merged error: 9.1b

Counts
18 → 18
Compiler

Compiled 493 to 355 computations (28% saved)

localize16.0ms (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))

rewrite56.0ms (0.7%)

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:

19.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
15.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 a c) b)

series236.0ms (3%)

Counts
3 → 9
Calls

3 calls:

92.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
73.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
71.0ms
(/.f64 (*.f64 a c) b)

simplify119.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05045877

prune201.0ms (2.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New731487
Fresh01616
Picked101
Done101
Total7530105

Merged error: 9.0b

Counts
105 → 30
Compiler

Compiled 1772 to 1063 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_1783
16×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
13×times-frac_binary64_1768 associate-*r*_binary64_1704
12×*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
5×cbrt-undiv_binary64_1793 div-exp_binary64_1810
4×prod-exp_binary64_1808 cbrt-unprod_binary64_1792 pow1_binary64_1820
3×associate-/l*_binary64_1709 associate-*l*_binary64_1705
2×div-inv_binary64_1759 unswap-sqr_binary64_1730 add-log-exp_binary64_1798 associate-*r/_binary64_1706
1×associate-/r/_binary64_1710 frac-2neg_binary64_1773 pow-prod-down_binary64_1830 clear-num_binary64_1761 associate-/r*_binary64_1708 *-commutative_binary64_1695
Counts
2 → 56
Calls

2 calls:

14.0ms
(*.f64 b (/.f64 3 c))
12.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))

series112.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
54.0ms
(*.f64 b (/.f64 3 c))

simplify176.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (154.0ms)

IterNodesCost
05058605

prune89.0ms (1.2%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh32629
Picked011
Done000
Total583492

Merged error: 9.0b

Counts
92 → 34
Compiler

Compiled 641 to 446 computations (30.4% saved)

regimes765.0ms (9.9%)

Compiler

Compiled 3092 to 2372 computations (23.3% saved)

bsearch13.0ms (0.2%)

Steps
ItersRangePoint
1
983.3527775899079
1019.2318423297006
1010.2620761447524
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08461
18461

end0.0ms (0%)

sample3.2s (41%)

Algorithm
1×intervals
Results
736.0ms7676×body128valid
519.0ms8924×pre128true
83.0ms924×body128nan
60.0ms324×body256valid
Compiler

Compiled 841 to 640 computations (23.9% saved)

Profiling

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