Details

Time bar (total: 2.4s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample12.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify92.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune7.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.6b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

31.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0b
(*.f64 2 (*.f64 x x))
0.0b
(*.f64 2 (*.f64 x x))
31.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite14.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_139
7×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
6×pow-prod-down_binary64_149
4×add-sqr-sqrt_binary64_100
3×associate-*l*_binary64_19 sqrt-pow1_binary64_96 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
2×add-log-exp_binary64_117
1×sqrt-prod_binary64_94 *-commutative_binary64_9 associate-*r*_binary64_18 unswap-sqr_binary64_46 pow1/2_binary64_158
Counts
2 → 31
Calls

4 calls:

6.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series62.0ms (2.6%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
24.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 64 to 64 computations (0% saved)

simplify51.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04932300
14932300

prune44.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638
Error
0.3b
Counts
38 → 6
Compiler

Compiled 389 to 259 computations (33.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (sqrt.f64 2) (fabs.f64 x))
0.5b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*l*_binary64_19
4×sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
3×add-cbrt-cube_binary64_114 associate-*r*_binary64_18 add-exp-log_binary64_116 pow1_binary64_139
2×unswap-sqr_binary64_46
1×*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
Counts
1 → 22
Calls

2 calls:

5.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
0.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series32.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
Compiler

Compiled 30 to 30 computations (0% saved)

simplify71.0ms (3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04863270
14863270

prune36.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh404
Picked011
Done011
Total24731
Error
0.0b
Counts
31 → 7
Compiler

Compiled 305 to 221 computations (27.5% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite22.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_116 pow1_binary64_139
12×add-sqr-sqrt_binary64_100
10×associate-*r*_binary64_18
9×add-cbrt-cube_binary64_114 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
8×cbrt-prod_binary64_109
6×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×sqrt-prod_binary64_94 associate-*l*_binary64_19
3×unswap-sqr_binary64_46
2×*-commutative_binary64_9 add-log-exp_binary64_117
Counts
2 → 48
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series125.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
30.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 120 to 120 computations (0% saved)

simplify70.0ms (3%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05097624

prune57.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh044
Picked011
Done112
Total54761
Error
0b
Counts
61 → 7
Compiler

Compiled 841 to 689 computations (18.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64_19
17×add-exp-log_binary64_116
16×add-sqr-sqrt_binary64_100
10×prod-exp_binary64_127
9×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
8×unpow-prod-down_binary64_157
7×add-cbrt-cube_binary64_114 sqrt-prod_binary64_94
6×cbrt-prod_binary64_109
4×cbrt-unprod_binary64_111 associate-*r*_binary64_18 unswap-sqr_binary64_46 pow1_binary64_139
2×*-commutative_binary64_9 pow-exp_binary64_146 pow-to-exp_binary64_147 add-log-exp_binary64_117 sqr-pow_binary64_50
1×pow-prod-down_binary64_149
Counts
2 → 54
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
6.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

series141.0ms (5.9%)

Counts
2 → 6
Calls

2 calls:

111.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
30.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
Compiler

Compiled 108 to 108 computations (0% saved)

simplify71.0ms (3%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04987755
14987755

prune53.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done022
Total60767
Error
0b
Counts
67 → 7
Compiler

Compiled 809 to 654 computations (19.2% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
090334
190334

regimes150.0ms (6.3%)

Compiler

Compiled 1116 to 913 computations (18.2% saved)

bsearch0.0ms (0%)

regimes132.0ms (5.5%)

Compiler

Compiled 920 to 745 computations (19% saved)

bsearch0.0ms (0%)

regimes107.0ms (4.5%)

Compiler

Compiled 607 to 513 computations (15.5% saved)

bsearch0.0ms (0%)

regimes101.0ms (4.3%)

Compiler

Compiled 567 to 473 computations (16.6% saved)

bsearch0.0ms (0%)

regimes102.0ms (4.3%)

Compiler

Compiled 157 to 159 computations (-1.3% saved)

bsearch13.0ms (0.6%)

Steps
ItersRangePoint
10
-2.471537152608442e-308
1.19640854968688e-294
-3.89140349991603e-310
Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0.5%)

Compiler

Compiled 9 to 12 computations (-33.3% saved)

bsearch12.0ms (0.5%)

Steps
ItersRangePoint
10
-1.8114225009300068e-198
-5.9193302582672965e-211
-3.571696274009956e-206
Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.4%)

Accuracy

Total 0.4b remaining (98.7%)

Threshold costs 0.4b (98.7%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
058101
158101

end0.0ms (0%)

sample711.0ms (29.8%)

Algorithm
1×intervals
Results
183.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 276 to 238 computations (13.8% saved)

Pareto

0.771017977589793

Profiling

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