Details

Time bar (total: 5.0s)

sample45.0ms

Algorithm
intervals
Results
23.0ms387×body80valid

simplify165.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

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: 21.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.4b
(* (* (* z 4.0) t) a)
18.8b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series327.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 9.0) y)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
32.0ms
(* (* (* z 4.0) t) a)
197.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify74.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0491675
12345574
25002574

prune242.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 10.0b

Counts
90 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ b (* z c))
6.1b
(/ (* a t) c)
9.4b
(/ (* x y) (* z c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 9.0 (/ (* x y) (* z c)))
23.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune263.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh5611
Picked101
Done000
Total10214116

Merged error: 0.0b

Counts
116 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (* z c) y)
4.7b
(/ b (* z c))
5.1b
(/ x (/ (* z c) y))
6.1b
(/ (* a t) c)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
5.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))
5.0ms
(/ (* a t) c)

series93.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z c) y)
20.0ms
(/ b (* z c))
35.0ms
(/ x (/ (* z c) y))
19.0ms
(/ (* a t) c)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0457568
12237494
25001494

prune383.0ms

Filtered
123 candidates to 90 candidates (73.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1194123
Fresh31013
Picked101
Done000
Total12314137

Merged error: 0.0b

Counts
137 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b
(* z (/ c y))
4.7b
(/ b (* z c))
5.1b
(/ x (* z (/ c y)))
6.1b
(/ (* a t) c)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×cbrt-undiv div-exp
7×associate-/l*
6×pow1 prod-exp cbrt-unprod
5×associate-/r*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 98
Calls
4 calls:
7.0ms
(* z (/ c y))
4.0ms
(/ b (* z c))
6.0ms
(/ x (* z (/ c y)))
5.0ms
(/ (* a t) c)

series96.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (/ c y))
20.0ms
(/ b (* z c))
37.0ms
(/ x (* z (/ c y)))
20.0ms
(/ (* a t) c)

simplify57.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0446437
12252364
25001364

prune259.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh01313
Picked101
Done000
Total11014124

Merged error: 0.0b

Counts
124 → 14

regimes961.0ms

Accuracy

11.6% (9.9b remaining)

Error of 10.4b against oracle of 0.5b and baseline of 11.7b

bsearch373.0ms

Steps
ItersRangePoint
8
1.3897856102000252e+252
5.072038588999614e+255
6.105102215098197e+253
4
5.693703157220945e+168
7.760875238467262e+168
5.877518490361653e+168
8
5.961173022880231e+114
1.928511657612319e+118
8.813984447100263e+115
5
6.68913396972734e-08
1.70242804785995e-07
1.2889311644196529e-07
9
-7.182806492837562e+62
-2.4023614044673353e+54
-9.17772423743342e+59

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09179
19179

end0.0ms

sample1.2s

Algorithm
intervals
Results
729.0ms12847×body80valid