Details

Time bar (total: 6.9s)

sample105.0ms

Algorithm
intervals
Results
47.0ms547×body80valid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 3.9b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
2.5b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.6b
(* (* (* x 18.0) y) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* j 27.0) k)
5.0ms
(* (* x 18.0) y)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* j 27.0) k)
3.0ms
(* (* x 18.0) y)
27.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406472
12141393
25002393

prune170.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh000
Picked101
Done000
Total86894

Merged error: 1.7b

Counts
94 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.2b
(* (* x 18.0) y)
2.5b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.6b
(* (* (* x 18.0) y) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
8.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms
(* (* (* x 18.0) y) z)

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* j (* 27.0 k))
3.0ms
(* (* x 18.0) y)
25.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0398471
12030392
25001392

prune166.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh167
Picked101
Done000
Total938101

Merged error: 1.7b

Counts
101 → 8

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* x (* z y)))
0.2b
(* j (* 27.0 k))
2.5b
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
3.3b
(* x (* z y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
11.0ms
(* 18.0 (* x (* z y)))
8.0ms
(* j (* 27.0 k))
11.0ms
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
8.0ms
(* x (* z y))

series70.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* 18.0 (* x (* z y)))
6.0ms
(* j (* 27.0 k))
43.0ms
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
10.0ms
(* x (* z y))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0375494
11607408
25001404

prune155.0ms

Filtered
55 candidates to 93 candidates (-69.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92193
Fresh167
Picked101
Done000
Total947101

Merged error: 1.7b

Counts
101 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
2.5b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.6b
(* (* (* x 18.0) y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod associate-*r*
4×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-*r/ *-commutative
1×flip3-- flip-- unswap-sqr
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
8.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt j)
26.0ms
(cbrt j)
25.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0336430
11516373
25001351

prune93.0ms

Filtered
51 candidates to 79 candidates (-54.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh066
Picked011
Done000
Total77986

Merged error: 1.7b

Counts
86 → 9

regimes2.3s

Accuracy

34.7% (2.3b remaining)

Error of 4.5b against oracle of 2.2b and baseline of 5.7b

bsearch86.0ms

Steps
ItersRangePoint
7
4.869246522915181e-127
1.0128264154410957e-125
4.416836517067326e-126
7
-6.685524706310173e-137
-6.252722159192638e-139
-5.301558701078425e-138

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06630
17630
27930
37930

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s16139×body80valid

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