Details

Time bar (total: 3.0s)

analyze1.6s (52.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample47.0ms (1.6%)

Algorithm
1×intervals
Results
14.0ms256×body80valid
7.0ms127×body80invalid
Compiler

Compiled 35 to 42 computations (-20% saved)

simplify74.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
093825
193825

prune8.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite36.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
19×add-log-exp_binary64
10×*-un-lft-identity_binary64
6×sum-log_binary64
5×add-sqr-sqrt_binary64
4×diff-log_binary64
3×flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
1×flip3--_binary64 associate-+l-_binary64 difference-of-squares_binary64 flip--_binary64
Counts
3 → 46
Calls

3 calls:

15.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
14.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))

series91.0ms (3.1%)

Counts
3 → 9
Calls

3 calls:

51.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
27.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
13.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))

simplify85.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049771539
149771539

prune56.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0.0b

Counts
56 → 3
Compiler

Compiled 1463 to 688 computations (53% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
0.6b
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

rewrite61.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
52×cbrt-div_binary64
43×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
26×frac-sub_binary64
16×frac-times_binary64
15×add-cube-cbrt_binary64
13×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64
11×pow1_binary64
10×swap-sqr_binary64
9×pow1/3_binary64 distribute-lft-out--_binary64
8×associate-*r*_binary64 associate-*l*_binary64
7×difference-of-squares_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 associate-*r/_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 associate-*l/_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 123
Calls

4 calls:

24.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
12.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
9.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

series309.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

122.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
63.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
63.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
61.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

simplify137.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
050297483

prune262.0ms (8.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138

Merged error: 0.0b

Counts
138 → 3
Compiler

Compiled 9491 to 4520 computations (52.4% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
0.1b
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
0.1b
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))))

rewrite40.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×flip3-+_binary64 flip-+_binary64
8×swap-sqr_binary64
6×add-log-exp_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
5×pow-prod-up_binary64
4×unswap-sqr_binary64 frac-times_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×associate-*r/_binary64 rem-sqrt-square_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 98
Calls

4 calls:

19.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))))
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))

series75.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
24.0ms
(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
13.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))))
12.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))

simplify67.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
052262385

prune13.0ms (0.4%)

Profiling

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