Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

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: 1.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
10.1b
(/ x (* (- y z) (- y t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
57.0ms
(/ x (* (- y z) (- y t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0304403
11399360
25002360

prune148.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New62769
Fresh000
Picked101
Done000
Total63770

Merged error: 0b

Counts
70 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.4b
(/ 1 (* (- y z) (- y t)))
9.7b
(* x (/ 1 (* (- y z) (- y t))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
20×associate-*r*
19×add-cbrt-cube
18×add-sqr-sqrt flip3-- flip--
16×associate-/r/
14×*-un-lft-identity prod-exp
12×frac-times
10×pow1 add-cube-cbrt
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×pow-prod-down associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 110
Calls
3 calls:
9.0ms
(* (- y z) (- y t))
10.0ms
(/ 1 (* (- y z) (- y t)))
15.0ms
(* x (/ 1 (* (- y z) (- y t))))

series144.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (- y z) (- y t))
60.0ms
(/ 1 (* (- y z) (- y t)))
58.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0428688
12242597
25001587

prune264.0ms

Filtered
119 candidates to 77 candidates (64.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh246
Picked011
Done000
Total1206126

Merged error: 0b

Counts
126 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.7b
(/ 1 (/ (* (- y z) (- y t)) x))
10.0b
(/ (* (- y z) (- y t)) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×rec-exp 1-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
10.0ms
(* (- y z) (- y t))
10.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
10.0ms
(/ (* (- y z) (- y t)) x)

series200.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (- y z) (- y t))
128.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
44.0ms
(/ (* (- y z) (- y t)) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0530854
12893750
25001713

prune198.0ms

Filtered
128 candidates to 77 candidates (60.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1262128
Fresh224
Picked011
Done011
Total1286134

Merged error: 0b

Counts
134 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.0b
(/ x (- y z))
2.0b
(* (/ x (- y z)) (/ 1 (- y t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
6.0ms
(/ 1 (- y t))
5.0ms
(/ x (- y z))
20.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- y t))
27.0ms
(/ x (- y z))
59.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0531911
12207796
25001754

prune240.0ms

Filtered
160 candidates to 99 candidates (61.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1591160
Fresh123
Picked011
Done022
Total1606166

Merged error: 0b

Counts
166 → 6

regimes146.0ms

Accuracy

59.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.8b

bsearch62.0ms

Steps
ItersRangePoint
8
4.4569171972980934e+244
1.726065848004059e+248
5.611707517943382e+244
5
-4.2167264587421995e+92
-1.0885082802572525e+92
-3.1853581668252757e+92

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample445.0ms

Algorithm
intervals
Results
238.0ms8442×body80valid