Details

Time bar (total: 2.7s)

analyze606.0ms

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
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms74×body80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.4b
(* (/ x y) (- z t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+l+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
14.0ms
(+ (* (/ x y) (- z t)) t)
14.0ms
(* (/ x y) (- z t))

series38.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (* (/ x y) (- z t)) t)
21.0ms
(* (/ x y) (- z t))

simplify56.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04963583
14963583

prune71.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New55459
Fresh011
Picked011
Done000
Total55661

Merged error: 0.0b

Counts
61 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (/ x y) (- z t))
7.1b
(cbrt (* (/ x y) (- z t)))
7.1b
(cbrt (* (/ x y) (- z t)))
7.1b
(cbrt (* (/ x y) (- z t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×associate-*l/ add-log-exp
3×cbrt-prod pow1/3
2×sub-neg prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
9.0ms
(* (/ x y) (- z t))
6.0ms
(cbrt (* (/ x y) (- z t)))
6.0ms
(cbrt (* (/ x y) (- z t)))
6.0ms
(cbrt (* (/ x y) (- z t)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ x y) (- z t))
50.0ms
(cbrt (* (/ x y) (- z t)))
51.0ms
(cbrt (* (/ x y) (- z t)))
32.0ms
(cbrt (* (/ x y) (- z t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04978958
14978958

prune107.0ms

Filtered
79 candidates to 94 candidates (-19.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done011
Total946100

Merged error: 0.0b

Counts
100 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* x (/ (- z t) y)))
0.0b
(/ (- z t) y)
4.4b
(* x (/ (- z t) y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ t (* x (/ (- z t) y)))
5.0ms
(/ (- z t) y)
9.0ms
(* x (/ (- z t) y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ t (* x (/ (- z t) y)))
6.0ms
(/ (- z t) y)
11.0ms
(* x (/ (- z t) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05918889

prune83.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh123
Picked011
Done022
Total966102

Merged error: 0.0b

Counts
102 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))
4.2b
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (cbrt y) (cbrt y))
18.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
25.0ms
(* (cbrt y) (cbrt y))
20.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049501193
149501193

prune118.0ms

Filtered
94 candidates to 145 candidates (-54.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1450145
Fresh022
Picked011
Done033
Total1456151

Merged error: 0.0b

Counts
151 → 6

regimes372.0ms

Accuracy

4.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.9b

bsearch37.0ms

Steps
ItersRangePoint
10
1.2963779464881806e-151
9.246575382585699e-139
1.5416204891117621e-148
5
-7.71423259642263e-286
-2.590765375259199e-286
-4.0115871199600727e-286

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03427
13427

end0.0ms

sample591.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid
65.0ms2123×body80invalid

Profiling

Loading profile data...