Details

Time bar (total: 6.9s)

sample98.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
49.0ms547×body80valid

simplify144.0ms

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: 5.6b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* x 18.0) y)
3.4b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b
(* (* (* 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
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)))
7.0ms
(* (* (* x 18.0) y) z)

series43.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* j 27.0) k)
4.0ms
(* (* x 18.0) y)
29.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406472
12141393
25002393

prune191.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New821193
Fresh000
Picked101
Done000
Total831194

Merged error: 2.7b

Counts
94 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 18.0 y))
0.2b
(* (* j 27.0) k)
3.4b
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.1b
(* (* 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:
5.0ms
(* x (* 18.0 y))
5.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms
(* (* x (* 18.0 y)) z)

series43.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (* 18.0 y))
4.0ms
(* (* j 27.0) k)
29.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms
(* (* x (* 18.0 y)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0404472
11945393
25002393

prune157.0ms

Filtered
50 candidates to 93 candidates (-86.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh01010
Picked011
Done000
Total9311104

Merged error: 2.7b

Counts
104 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.3b
(* (* x 18.0) y)
3.4b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b
(* (* (* x 18.0) y) z)

rewrite29.0ms

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:
5.0ms
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series43.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
4.0ms
(* (* x 18.0) y)
29.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0398471
12030392
25001392

prune172.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New89493
Fresh369
Picked101
Done011
Total9311104

Merged error: 2.6b

Counts
104 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
3.4b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b
(* (* (* x 18.0) y) z)

rewrite22.0ms

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)
11.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series84.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt j)
24.0ms
(cbrt j)
26.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0336430
11516373
25001351

prune103.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77279
Fresh099
Picked011
Done011
Total771390

Merged error: 2.6b

Counts
90 → 13

regimes2.7s

Accuracy

42.6% (1.9b remaining)

Error of 4.2b against oracle of 2.2b and baseline of 5.6b

bsearch130.0ms

Steps
ItersRangePoint
9
1.0941536755567479e-58
1.8925665750677762e-53
1.0149040576972568e-53
7
-7.003123404087486e+122
-1.7900470574539148e+121
-2.244974224870621e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07029
17029

end0.0ms

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
1.4s16001×body80valid

Profiling

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