Details

Time bar (total: 4.2s)

sample54.0ms

Algorithm
intervals
Results
36.0ms378×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
5.2b
(* (* a z) b)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
42.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
13.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(* (* a z) b)

series177.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms
(+ x (* y z))
46.0ms
(+ (+ x (* y z)) (* t a))
26.0ms
(* (* a z) b)

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0335378
11670347
25002342

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
5.2b
(* (* a z) b)
5.2b
(* (* a z) b)
5.2b
(* (* a z) b)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
cbrt-prod associate-*l* *-commutative
cbrt-div
flip3-+ pow1/3 flip-+
Counts
4 → 67
Calls
4 calls:
23.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)

series236.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
26.0ms
(* (* a z) b)
25.0ms
(* (* a z) b)
28.0ms
(* (* a z) b)

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0272431
11093383
25002374

prune234.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* a z) b)
13.8b
(cbrt (* (* a z) b))
13.8b
(cbrt (* (* a z) b))
13.8b
(cbrt (* (* a z) b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
7.0ms
(* (* a z) b)
7.0ms
(cbrt (* (* a z) b))
5.0ms
(cbrt (* (* a z) b))
6.0ms
(cbrt (* (* a z) b))

series300.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* a z) b)
93.0ms
(cbrt (* (* a z) b))
89.0ms
(cbrt (* (* a z) b))
92.0ms
(cbrt (* (* a z) b))

simplify76.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0181286
1716238
23196229
35001210

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* a z) b)
5.2b
(* (* a z) b)
5.2b
(* (* a z) b)
5.2b
(* (* a z) b)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)

series107.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* a z) b)
25.0ms
(* (* a z) b)
29.0ms
(* (* a z) b)
27.0ms
(* (* a z) b)

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
098280
1486220
22390220
35002220

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

65.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch119.0ms

Steps
ItersRangePoint
9
9.44878571180241e+129
5.416906886348369e+135
7.394757241471236e+132
6
-8.439753275619243e+115
-7.068952241906446e+114
-7.48864513222409e+114

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03713
13713

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s11832×body80valid