Details

Time bar (total: 2.1s)

analyze71.0ms (3.5%)

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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify100.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
11.8b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

11.3b
(/.f64 x (*.f64 y y))
11.3b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
3×associate-/l*_binary64_10594 times-frac_binary64_10655 *-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684
2×div-exp_binary64_10700 cbrt-undiv_binary64_10683
1×prod-exp_binary64_10698 cbrt-unprod_binary64_10682 associate-/r*_binary64_10593 add-log-exp_binary64_10688 pow1_binary64_10710 clear-num_binary64_10648 frac-2neg_binary64_10660 div-inv_binary64_10646
Counts
1 → 21
Calls

2 calls:

4.0ms
(/.f64 x (*.f64 y y))
0.0ms
(/.f64 x (*.f64 y y))

series67.0ms (3.3%)

Counts
1 → 6
Calls

1 calls:

67.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 60 to 60 computations (0% saved)

simplify76.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
06109244

prune31.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728
Error
0.0b
Counts
28 → 7
Compiler

Compiled 254 to 88 computations (65.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)
0.2b
(/.f64 (/.f64 x y) y)

rewrite12.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_10655
43×*-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684
13×associate-/l*_binary64_10594
6×add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
5×div-inv_binary64_10646
3×associate-/r*_binary64_10593 div-exp_binary64_10700 cbrt-undiv_binary64_10683
1×add-log-exp_binary64_10688 pow1_binary64_10710 clear-num_binary64_10648 frac-2neg_binary64_10660 associate-/l/_binary64_10596
Counts
1 → 70
Calls

2 calls:

6.0ms
(/.f64 (/.f64 x y) y)
0.0ms
(/.f64 (/.f64 x y) y)

series64.0ms (3.1%)

Counts
1 → 6
Calls

1 calls:

64.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 60 to 60 computations (0% saved)

simplify98.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
047631090
147631090

prune53.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New73376
Fresh145
Picked011
Done011
Total74983
Error
0.0b
Counts
83 → 9
Compiler

Compiled 957 to 316 computations (67% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))
0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite16.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64_10671
25×times-frac_binary64_10655
23×add-exp-log_binary64_10687
17×*-un-lft-identity_binary64_10649
15×add-cube-cbrt_binary64_10684
13×add-cbrt-cube_binary64_10685 associate-*r*_binary64_10589 associate-*l*_binary64_10590
8×prod-exp_binary64_10698 div-exp_binary64_10700
6×unswap-sqr_binary64_10617
4×cbrt-unprod_binary64_10682 cbrt-undiv_binary64_10683
3×pow1_binary64_10710
2×1-exp_binary64_10693 div-inv_binary64_10646 rec-exp_binary64_10699
1×associate-*l/_binary64_10592 add-log-exp_binary64_10688 pow-prod-down_binary64_10720 *-commutative_binary64_10580 associate-*r/_binary64_10591 frac-times_binary64_10659
Counts
1 → 56
Calls

2 calls:

12.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))
0.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

series64.0ms (3.1%)

Counts
1 → 6
Calls

1 calls:

64.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))
Compiler

Compiled 60 to 60 computations (0% saved)

simplify100.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05798635

prune39.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New61162
Fresh066
Picked011
Done022
Total611071
Error
0b
Counts
71 → 10
Compiler

Compiled 718 to 265 computations (63.1% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.1b
(/.f64 y (/.f64 x y))
0.1b
(/.f64 y (/.f64 x y))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite54.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_10655
229×*-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684
57×associate-/r*_binary64_10593
28×add-exp-log_binary64_10687
22×div-inv_binary64_10646
18×div-exp_binary64_10700
16×add-cbrt-cube_binary64_10685
9×cbrt-undiv_binary64_10683
6×associate-/l*_binary64_10594 associate-/r/_binary64_10595
3×pow1_binary64_10710 1-exp_binary64_10693 rec-exp_binary64_10699
2×add-log-exp_binary64_10688 clear-num_binary64_10648 frac-2neg_binary64_10660
1×inv-pow_binary64_10734 pow-flip_binary64_10723
Counts
2 → 274
Calls

4 calls:

14.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))
0.0ms
(/.f64 y (/.f64 x y))
0.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))

series126.0ms (6.2%)

Counts
2 → 12
Calls

2 calls:

64.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
62.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 144 to 144 computations (0% saved)

simplify138.0ms (6.7%)

Algorithm
1×egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
050685036

prune186.0ms (9.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2851286
Fresh246
Picked011
Done033
Total2879296
Error
0b
Counts
296 → 9
Compiler

Compiled 4084 to 1462 computations (64.2% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065276
165276

regimes128.0ms (6.2%)

Compiler

Compiled 881 to 600 computations (31.9% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.8%)

Accuracy

Total 0.2b remaining (97.2%)

Threshold costs 0.2b (97.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 7 to 10 computations (-42.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample565.0ms (27.5%)

Algorithm
1×intervals
Results
157.0ms8000×body128valid
7.0ms381×body128invalid
Compiler

Compiled 203 to 144 computations (29.1% saved)

Pareto

0.0

Profiling

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