Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
15.0ms93×body1280valid
4.0ms127×body80valid
2.0ms18×body640valid
1.0ms13×body320valid
0.0ms5×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1246
2286
3306
4356
5376
6376

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot 1.0 x)
0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
2.4b
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt
9×times-frac
8×add-log-exp
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-/r* associate-/l*
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 60
Calls
4 calls:
1.0ms
(hypot 1.0 x)
3.0ms
(/ 1.0 (hypot 1.0 x))
6.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
3.0ms
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(hypot 1.0 x)
5.0ms
(/ 1.0 (hypot 1.0 x))
26.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
82.0ms
(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0204408
1643378
21990376
35001375

prune128.0ms

Filtered
72 candidates to 51 candidates (70.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh000
Picked101
Done000
Total68573

Merged error: 16.6b

Counts
73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(/ 1.0 (hypot 1.0 x))
1.8b
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
18×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r* associate-/l*
4×pow1 associate-*r/ associate--l+
3×sub-neg
2×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp clear-num frac-sub flip-- div-inv
1×+-commutative flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 84
Calls
4 calls:
9.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
3.0ms
(/ 1.0 (hypot 1.0 x))
3.0ms
(/ 1.0 (hypot 1.0 x))
6.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
5.0ms
(/ 1.0 (hypot 1.0 x))
6.0ms
(/ 1.0 (hypot 1.0 x))
31.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))

simplify145.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0288547
11035512
24960506
35001506

prune201.0ms

Filtered
96 candidates to 68 candidates (70.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New92496
Fresh314
Picked101
Done000
Total965101

Merged error: 16.5b

Counts
101 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
1.8b
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
3.0b
(log (exp (/ 1.0 (hypot 1.0 x))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt add-cube-cbrt
18×times-frac
14×log-pow
13×exp-prod
9×log-prod
8×add-log-exp
6×add-exp-log add-cbrt-cube associate--r+
5×pow1 distribute-rgt-in distribute-lft-in
4×associate--l+
3×sub-neg associate-/r* associate-/l*
2×div-inv
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ diff-log div-exp rem-log-exp clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 86
Calls
4 calls:
3.0ms
(/ 1.0 (hypot 1.0 x))
6.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
8.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
4.0ms
(log (exp (/ 1.0 (hypot 1.0 x))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1.0 (hypot 1.0 x))
26.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
36.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
6.0ms
(log (exp (/ 1.0 (hypot 1.0 x))))

simplify114.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0308583
1917536
23960523
35002523

prune257.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh134
Picked101
Done000
Total976103

Merged error: 16.5b

Counts
103 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
0.1b
(exp (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))))
1.8b
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
3.0b
(log (exp (/ 1.0 (hypot 1.0 x))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×exp-prod
16×add-sqr-sqrt add-cube-cbrt
15×log-pow
12×log-prod
9×times-frac
8×add-log-exp
6×pow1 associate--r+
5×distribute-rgt-in distribute-lft-in
4×add-exp-log associate--l+ add-cbrt-cube
3×sub-neg exp-sum
2×log-div flip3-- exp-diff flip--
1×+-commutative flip3-+ diff-log rem-log-exp sum-log flip-+ div-inv rem-exp-log distribute-lft-out
Counts
4 → 76
Calls
4 calls:
6.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
7.0ms
(exp (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))))
8.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
5.0ms
(log (exp (/ 1.0 (hypot 1.0 x))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ 1.0 (/ 1.0 (hypot 1.0 x)))
32.0ms
(exp (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))))
31.0ms
(- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))
6.0ms
(log (exp (/ 1.0 (hypot 1.0 x))))

simplify100.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0311693
1861629
23558590
35001583

prune231.0ms

Filtered
88 candidates to 64 candidates (72.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh145
Picked011
Done000
Total88694

Merged error: 16.5b

Counts
94 → 6

regimes229.0ms

Accuracy

0% (0.0b remaining)

Error of 14.9b against oracle of 14.9b and baseline of 14.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02317
12317

end0.0ms

sample806.0ms

Algorithm
intervals
Results
454.0ms2863×body1280valid
121.0ms4043×body80valid
80.0ms624×body640valid
29.0ms317×body320valid
9.0ms153×body160valid