Details

Time bar (total: 1.8s)

analyze5.0ms (0.3%)

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)

sample10.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify95.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
29.9b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite14.0ms (0.8%)

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

2 calls:

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

series58.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

40.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
18.0ms
(*.f64 2 (*.f64 x x))

simplify50.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04932300
14932300

prune29.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0.2b

Counts
38 → 3
Compiler

Compiled 342 to 224 computations (34.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite10.0ms (0.6%)

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

1 calls:

9.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series28.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify70.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04863270
14863270

prune23.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh101
Picked011
Done011
Total22628

Merged error: 0.0b

Counts
28 → 6
Compiler

Compiled 284 to 208 computations (26.8% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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))))

rewrite24.0ms (1.3%)

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

2 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
9.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series116.0ms (6.5%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
25.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify70.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097624

prune56.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh123
Picked011
Done112
Total54660

Merged error: 0.0b

Counts
60 → 6
Compiler

Compiled 836 to 691 computations (17.3% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

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)))

rewrite21.0ms (1.2%)

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

2 calls:

11.0ms
(*.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))

series149.0ms (8.3%)

Counts
2 → 6
Calls

2 calls:

125.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
25.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify70.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04987755
14987755

prune55.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh033
Picked011
Done202
Total60666

Merged error: 0b

Counts
66 → 6
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes163.0ms (9.1%)

Compiler

Compiled 1335 to 1119 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample653.0ms (36.3%)

Algorithm
1×intervals
Results
181.0ms8000×body128valid
Compiler

Compiled 288 to 251 computations (12.8% saved)

Profiling

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