Details

Time bar (total: 2.4s)

analyze572.0ms

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
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms35×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) (* z t))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (* x y) (* z t))

simplify71.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04873141
14873141

prune19.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.2b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
2.4b
(sqrt (+ (* x y) (* z t)))
2.4b
(sqrt (+ (* x y) (* z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms
(sqrt (+ (* x y) (* z t)))
22.0ms
(sqrt (+ (* x y) (* z t)))

simplify35.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055171320

prune86.0ms

Filtered
67 candidates to 110 candidates (-64.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done011
Total1093112

Merged error: 0.0b

Counts
112 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (+ (* x y) (* z t))) 3)
2.4b
(sqrt (+ (* x y) (* z t)))
2.4b
(sqrt (+ (* x y) (* z t)))
9.1b
(cbrt (pow (sqrt (+ (* x y) (* z t))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1 sqrt-div
5×add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+ add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square cbrt-div unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
5.0ms
(pow (sqrt (+ (* x y) (* z t))) 3)
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))
5.0ms
(cbrt (pow (sqrt (+ (* x y) (* z t))) 3))

series102.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (sqrt (+ (* x y) (* z t))) 3)
21.0ms
(sqrt (+ (* x y) (* z t)))
19.0ms
(sqrt (+ (* x y) (* z t)))
19.0ms
(cbrt (pow (sqrt (+ (* x y) (* z t))) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050231328

prune100.0ms

Filtered
63 candidates to 105 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1041105
Fresh000
Picked011
Done022
Total1044108

Merged error: 0.0b

Counts
108 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (+ (* x y) (* z t))) (cbrt (pow (+ (* x y) (* z t)) 3/2)))
1.1b
(pow (+ (* x y) (* z t)) 3/2)
2.4b
(sqrt (+ (* x y) (* z t)))
9.1b
(cbrt (pow (+ (* x y) (* z t)) 3/2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
20×cbrt-prod
14×add-cube-cbrt *-un-lft-identity
11×unpow-prod-down
10×associate-*r* sqrt-prod
8×pow1 unswap-sqr
7×add-exp-log
6×associate-*l*
5×add-cbrt-cube sqr-pow
4×sqrt-div add-log-exp
3×pow-unpow
2×flip3-+ associate-*l/ flip-+
1×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 pow1/3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 84
Calls
4 calls:
11.0ms
(* (sqrt (+ (* x y) (* z t))) (cbrt (pow (+ (* x y) (* z t)) 3/2)))
4.0ms
(pow (+ (* x y) (* z t)) 3/2)
4.0ms
(sqrt (+ (* x y) (* z t)))
5.0ms
(cbrt (pow (+ (* x y) (* z t)) 3/2))

series83.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (sqrt (+ (* x y) (* z t))) (cbrt (pow (+ (* x y) (* z t)) 3/2)))
30.0ms
(pow (+ (* x y) (* z t)) 3/2)
20.0ms
(sqrt (+ (* x y) (* z t)))
22.0ms
(cbrt (pow (+ (* x y) (* z t)) 3/2))

simplify65.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
058561443

prune110.0ms

Filtered
74 candidates to 96 candidates (-29.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done033
Total964100

Merged error: 0.0b

Counts
100 → 4

regimes396.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample498.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid
42.0ms1329×body80invalid

Profiling

Loading profile data...