Details

Time bar (total: 5.9s)

analyze491.0ms (8.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
18.7%81.1%0.1%6
26.5%67.1%6.4%7
35.1%58.5%6.4%8
41.3%49.9%8.7%9
46.4%40.2%13.4%10
50.8%34.2%15%11
55.2%26.7%18.1%12
57.4%22%20.6%13
59.8%17.9%22.3%14
Compiler

Compiled 39 to 27 computations (30.8% saved)

sample32.0ms (0.6%)

Algorithm
1×intervals
Results
21.0ms256×body128valid
1.0ms16×body128nan
1.0ms8×body128invalid
Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify250.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
0122454
1122454

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 20.3b

Counts
2 → 1
Compiler

Compiled 148 to 102 computations (31.1% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
1.2b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite32.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_79
14×add-sqr-sqrt_binary64_101
12×add-log-exp_binary64_118
10×sqrt-prod_binary64_95
8×add-cube-cbrt_binary64_114
6×cancel-sign-sub-inv_binary64_45 pow1_binary64_140
4×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 sqrt-div_binary64_96
3×flip--_binary64_54 flip3--_binary64_83
2×neg-sub0_binary64_74 distribute-lft-out--_binary64_31 sum-log_binary64_170 neg-log_binary64_172 rem-sqrt-square_binary64_92 distribute-rgt-neg-in_binary64_37 sqrt-pow1_binary64_97 difference-of-squares_binary64_48 diff-log_binary64_171 pow1/2_binary64_159 distribute-lft-out_binary64_30
1×associate--l-_binary64_17 flip-+_binary64_53 associate-+l-_binary64_14 +-commutative_binary64_9 flip3-+_binary64_82 sub-neg_binary64_72
Counts
4 → 68
Calls

4 calls:

11.0ms
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
10.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series492.0ms (8.4%)

Counts
4 → 12
Calls

4 calls:

140.0ms
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
123.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
116.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
114.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify99.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
048601694
148601694

prune420.0ms (7.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881

Merged error: 5.5b

Counts
81 → 8
Compiler

Compiled 10323 to 6618 computations (35.9% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

12.5b
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite22.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_101
9×sqrt-prod_binary64_95
8×add-log-exp_binary64_118
7×add-cube-cbrt_binary64_114 pow1_binary64_140 *-un-lft-identity_binary64_79
6×sqrt-div_binary64_96
4×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 flip--_binary64_54 flip3--_binary64_83
3×rem-sqrt-square_binary64_92 sqrt-pow1_binary64_97 pow1/2_binary64_159
2×diff-log_binary64_171
1×associate--l-_binary64_17 neg-sub0_binary64_74 neg-log_binary64_172 difference-of-squares_binary64_48 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72
Counts
4 → 60
Calls

4 calls:

6.0ms
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series469.0ms (8%)

Counts
4 → 12
Calls

4 calls:

143.0ms
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
113.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
110.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
104.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify70.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050641506

prune191.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh066
Picked101
Done011
Total72880

Merged error: 5.5b

Counts
80 → 8
Compiler

Compiled 4675 to 2774 computations (40.7% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
26.3b
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
26.3b
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite21.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_101
8×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
6×sqrt-prod_binary64_95 cbrt-prod_binary64_110 pow1_binary64_140
4×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 flip--_binary64_54 cbrt-div_binary64_111 sqrt-div_binary64_96 add-log-exp_binary64_118 flip3--_binary64_83
2×rem-sqrt-square_binary64_92 sqrt-pow1_binary64_97 pow1/2_binary64_159 pow1/3_binary64_161
Counts
4 → 56
Calls

4 calls:

5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series566.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

172.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
168.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
116.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
109.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify73.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
048541424
148541424

prune201.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh066
Picked011
Done011
Total68876

Merged error: 5.5b

Counts
76 → 8
Compiler

Compiled 5098 to 3032 computations (40.5% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
25.5b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite22.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
12×sqrt-prod_binary64_95 add-sqr-sqrt_binary64_101
8×add-cube-cbrt_binary64_114 sqrt-div_binary64_96 pow1_binary64_140 *-un-lft-identity_binary64_79
4×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 flip--_binary64_54 rem-sqrt-square_binary64_92 sqrt-pow1_binary64_97 add-log-exp_binary64_118 pow1/2_binary64_159 flip3--_binary64_83
Counts
4 → 60
Calls

4 calls:

5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series470.0ms (8%)

Counts
4 → 12
Calls

4 calls:

124.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
121.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
119.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
105.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify66.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049321404
149321404

prune200.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 5.5b

Counts
80 → 8
Compiler

Compiled 5220 to 3045 computations (41.7% saved)

regimes183.0ms (3.1%)

Compiler

Compiled 1562 to 1078 computations (31% saved)

bsearch75.0ms (1.3%)

Steps
ItersRangePoint
11
4.2674410741359733e+105
2.1448977684961606e+126
1.711380925334509e+113
5
-1.2069248715764378e+118
-4.243550660965365e+117
-1.183067257131974e+118
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
0338174
1338174

end0.0ms (0%)

sample1.3s (21.9%)

Algorithm
1×intervals
Results
668.0ms8000×body128valid
52.0ms645×body128nan
34.0ms402×body128invalid
Compiler

Compiled 525 to 354 computations (32.6% saved)

Profiling

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