Details

Time bar (total: 1.7s)

analyze165.0ms (9.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11114
022
122
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)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.4%)

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
9.4b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

9.1b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
3×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 times-frac_binary64_7586 associate-/l*_binary64_7525 add-cube-cbrt_binary64_7615
2×cbrt-undiv_binary64_7614 div-exp_binary64_7631
1×add-log-exp_binary64_7619 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 associate-/r*_binary64_7524 pow1_binary64_7641 cbrt-unprod_binary64_7613 prod-exp_binary64_7629
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))

series20.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(/.f64 x (*.f64 y y))

simplify79.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
06109223

prune23.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725
Error
0.0b
Counts
25 → 7
Compiler

Compiled 240 to 87 computations (63.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_7586
43×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
13×associate-/l*_binary64_7525
6×add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
5×div-inv_binary64_7577
3×associate-/r*_binary64_7524 cbrt-undiv_binary64_7614 div-exp_binary64_7631
1×add-log-exp_binary64_7619 frac-2neg_binary64_7591 associate-/l/_binary64_7527 clear-num_binary64_7579 pow1_binary64_7641
Counts
1 → 70
Calls

1 calls:

7.0ms
(/.f64 (/.f64 x y) y)

series22.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

22.0ms
(/.f64 (/.f64 x y) y)

simplify93.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
047631069
147631069

prune44.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh145
Picked011
Done011
Total73780
Error
0.0b
Counts
80 → 7
Compiler

Compiled 911 to 304 computations (66.6% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite17.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64_7602
25×times-frac_binary64_7586
23×add-exp-log_binary64_7618
17×*-un-lft-identity_binary64_7580
15×add-cube-cbrt_binary64_7615
13×associate-*r*_binary64_7520 add-cbrt-cube_binary64_7616 associate-*l*_binary64_7521
8×prod-exp_binary64_7629 div-exp_binary64_7631
6×unswap-sqr_binary64_7548
4×cbrt-unprod_binary64_7613 cbrt-undiv_binary64_7614
3×pow1_binary64_7641
2×div-inv_binary64_7577 rec-exp_binary64_7630 1-exp_binary64_7624
1×add-log-exp_binary64_7619 pow-prod-down_binary64_7651 frac-times_binary64_7590 associate-*r/_binary64_7522 *-commutative_binary64_7511 associate-*l/_binary64_7523
Counts
1 → 56
Calls

1 calls:

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

series15.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

15.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify104.0ms (6%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
05798614

prune37.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New58159
Fresh134
Picked011
Done022
Total59766
Error
0b
Counts
66 → 7
Compiler

Compiled 661 to 240 computations (63.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
0.7b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite51.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_7586
229×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
57×associate-/r*_binary64_7524
28×add-exp-log_binary64_7618
22×div-inv_binary64_7577
18×div-exp_binary64_7631
16×add-cbrt-cube_binary64_7616
9×cbrt-undiv_binary64_7614
6×associate-/l*_binary64_7525 associate-/r/_binary64_7526
3×rec-exp_binary64_7630 pow1_binary64_7641 1-exp_binary64_7624
2×add-log-exp_binary64_7619 frac-2neg_binary64_7591 clear-num_binary64_7579
1×inv-pow_binary64_7665 pow-flip_binary64_7654
Counts
2 → 274
Calls

2 calls:

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

series31.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
15.0ms
(/.f64 y (/.f64 x y))

simplify140.0ms (8.1%)

Algorithm
1×egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
050684994

prune200.0ms (11.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2800280
Fresh033
Picked011
Done033
Total2807287
Error
0b
Counts
287 → 7
Compiler

Compiled 4048 to 1456 computations (64% saved)

regimes100.0ms (5.8%)

Accuracy

Total 0.2b remaining (90.4%)

Threshold costs 0.2b (90.4%)

Compiler

Compiled 653 to 408 computations (37.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
157

end0.0ms (0%)

sample517.0ms (30%)

Algorithm
1×intervals
Results
169.0ms8000×body128valid
11.0ms388×body128invalid
Compiler

Compiled 146 to 95 computations (34.9% saved)

Profiling

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