Details

Time bar (total: 9.2s)

analyze882.0ms (9.6%)

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
12.5%87.4%0.1%6
20.3%73.3%6.4%7
27.3%66.3%6.4%8
38.2%53%8.7%9
46%40.6%13.4%10
49.9%35.1%15%11
54.9%26.9%18.1%12
57.4%22%20.6%13
59.7%18%22.4%14
Compiler

Compiled 39 to 27 computations (30.8% saved)

sample45.0ms (0.5%)

Algorithm
1×intervals
Results
25.0ms256×body128valid
2.0ms26×body128nan
1.0ms7×body128invalid
Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify526.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (399.0ms)

IterNodesCost
0297754
1297754

prune14.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 18.6b

Counts
2 → 1
Compiler

Compiled 74 to 51 computations (31.1% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.1b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
1.1b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite39.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
14×add-sqr-sqrt_binary64
12×add-log-exp_binary64
10×sqrt-prod_binary64
8×add-cube-cbrt_binary64
6×pow1_binary64 cancel-sign-sub-inv_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×flip3--_binary64 flip--_binary64
2×pow1/2_binary64 diff-log_binary64 distribute-lft-out_binary64 neg-sub0_binary64 sqrt-pow1_binary64 distribute-rgt-neg-in_binary64 rem-sqrt-square_binary64 neg-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sum-log_binary64
1×flip3-+_binary64 sub-neg_binary64 associate--l-_binary64 associate-+l-_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 68
Calls

4 calls:

14.0ms
(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))))
8.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series315.0ms (3.4%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
84.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
76.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
69.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))

simplify105.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
054981694

prune212.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New701080
Fresh000
Picked101
Done000
Total711081

Merged error: 6.1b

Counts
81 → 10
Compiler

Compiled 3932 to 2288 computations (41.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.2b
(-.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))))))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite20.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
9×sqrt-prod_binary64
8×add-log-exp_binary64
7×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
6×sqrt-div_binary64
4×flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64
3×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
2×diff-log_binary64
1×sub-neg_binary64 associate--l-_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 neg-log_binary64 difference-of-squares_binary64
Counts
4 → 60
Calls

4 calls:

5.0ms
(-.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))))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series361.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

129.0ms
(-.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))))))
93.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
71.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
67.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify145.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
050731506

prune299.0ms (3.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh099
Picked011
Done000
Total721082

Merged error: 6.1b

Counts
82 → 10
Compiler

Compiled 4329 to 2540 computations (41.3% saved)

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

11.8b
(+.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))))))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite39.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
9×sqrt-prod_binary64
8×add-log-exp_binary64
7×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
6×sqrt-div_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1/2_binary64 flip3--_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
2×sum-log_binary64
1×flip3-+_binary64 neg-sub0_binary64 associate-+l-_binary64 neg-log_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 58
Calls

4 calls:

9.0ms
(+.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))))))
9.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
9.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
9.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series460.0ms (5%)

Counts
4 → 12
Calls

4 calls:

132.0ms
(+.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))))))
112.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
108.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
108.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify139.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
052971404

prune308.0ms (3.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh088
Picked011
Done011
Total701080

Merged error: 6.1b

Counts
80 → 10
Compiler

Compiled 4185 to 2460 computations (41.2% saved)

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

7.0b
(+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
21.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
22.5b
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite38.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64
8×add-log-exp_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1_binary64 sqrt-prod_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×flip3--_binary64 flip--_binary64 cbrt-prod_binary64
2×cbrt-div_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 sum-log_binary64
1×flip3-+_binary64 neg-sub0_binary64 pow1/3_binary64 associate-+l-_binary64 neg-log_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 56
Calls

4 calls:

10.0ms
(+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
9.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
8.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
8.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series436.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

146.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
109.0ms
(+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
95.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
86.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

simplify120.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
048851381
148851381

prune256.0ms (2.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh077
Picked011
Done022
Total671178

Merged error: 6.1b

Counts
78 → 11
Compiler

Compiled 3657 to 2100 computations (42.6% saved)

regimes716.0ms (7.8%)

Compiler

Compiled 4086 to 2814 computations (31.1% saved)

bsearch132.0ms (1.4%)

Steps
ItersRangePoint
7
6.374435826521237e+113
2.043310813639018e+115
4.6012275123402984e+114
8
-6.81118753538509e+158
-1.1539371532131307e+154
-1.340469429316158e+154
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify29.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0485174
1485174

end0.0ms (0%)

sample3.4s (37%)

Algorithm
1×intervals
Results
1.4s8000×body128valid
101.0ms637×body128nan
61.0ms379×body128invalid
Compiler

Compiled 1156 to 788 computations (31.8% saved)

Profiling

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