Details

Time bar (total: 4.4s)

analyze917.0ms (21%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms123×body80invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify45.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055213
155213

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.7b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
9.3b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 41
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series28.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify72.0ms (1.7%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05336862

prune67.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New361147
Fresh000
Picked011
Done000
Total361248

Merged error: 9.3b

Counts
48 → 12
Compiler

Compiled 916 to 252 computations (72.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
9.3b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
11×*-un-lft-identity_binary64 add-exp-log_binary64 times-frac_binary64
10×add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 prod-exp_binary64
flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip--_binary64
cbrt-unprod_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 51
Calls

2 calls:

12.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series28.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify75.0ms (1.7%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05283973

prune61.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New56157
Fresh01010
Picked011
Done011
Total561369

Merged error: 9.3b

Counts
69 → 13
Compiler

Compiled 1108 to 370 computations (66.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.2b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
9.2b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
16×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
div-exp_binary64
flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
pow1_binary64 cbrt-undiv_binary64
1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
sub-neg_binary64 diff-log_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 124
Calls

3 calls:

10.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series54.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
19.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
11.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify101.0ms (2.3%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
051953188

prune91.0ms (2.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1303133
Fresh5510
Picked011
Done022
Total13511146

Merged error: 9.3b

Counts
146 → 11
Compiler

Compiled 2796 to 656 computations (76.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.2b
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
0.8b
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
8.6b
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

rewrite39.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
52×add-exp-log_binary64
29×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64 times-frac_binary64
22×add-cube-cbrt_binary64
20×add-cbrt-cube_binary64 div-exp_binary64
16×prod-exp_binary64
15×associate-*r*_binary64
10×pow1_binary64 1-exp_binary64 rec-exp_binary64
add-log-exp_binary64 cbrt-undiv_binary64 associate-/r/_binary64 associate-/l*_binary64
associate-/r*_binary64 cbrt-unprod_binary64
flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 div-inv_binary64 flip--_binary64 pow-flip_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64
sub-neg_binary64 diff-log_binary64 *-commutative_binary64
Counts
4 → 122
Calls

4 calls:

11.0ms
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
10.0ms
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
6.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))

series64.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
16.0ms
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
13.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
11.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify92.0ms (2.1%)

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
055452069

prune65.0ms (1.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh077
Picked011
Done033
Total13411145

Merged error: 9.3b

Counts
145 → 11
Compiler

Compiled 2252 to 697 computations (69% saved)

regimes626.0ms (14.3%)

Compiler

Compiled 1413 to 1278 computations (9.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03813
13813

end0.0ms (0%)

sample1.8s (41.6%)

Algorithm
intervals
Results
275.0ms8000×body80valid
106.0ms2915×body80invalid
Compiler

Compiled 209 to 174 computations (16.7% saved)

Profiling

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