Details

Time bar (total: 6.9s)

sample109.0ms

Algorithm
intervals
Results
45.0ms551×body80valid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune14.0ms

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: 5.9b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.4b
(* (* x 18.0) y)
2.9b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b
(* (* (* 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:
4.0ms
(* (* 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)

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* j 27.0) k)
3.0ms
(* (* x 18.0) y)
24.0ms
(* 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 (11.0ms)

IterNodesCost
0406472
12141393
25002393

prune160.0ms

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: 2.4b

Counts
94 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* x (* z y)))
0.2b
(* (* j 27.0) k)
2.9b
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
5.5b
(* x (* z y))

rewrite26.0ms

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-*l*
9×add-cube-cbrt *-un-lft-identity
8×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:
6.0ms
(* 18.0 (* x (* z y)))
5.0ms
(* (* j 27.0) k)
8.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
5.0ms
(* x (* z y))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* x (* z y)))
3.0ms
(* (* j 27.0) k)
26.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
6.0ms
(* x (* z y))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380468
11668389
25001389

prune135.0ms

Filtered
51 candidates to 93 candidates (-82.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh257
Picked101
Done000
Total947101

Merged error: 2.4b

Counts
101 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* x (* z y)))
0.2b
(* j (* 27.0 k))
2.9b
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
5.5b
(* x (* z y))

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-*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:
6.0ms
(* 18.0 (* x (* z y)))
5.0ms
(* j (* 27.0 k))
8.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
5.0ms
(* x (* z y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* x (* z y)))
3.0ms
(* j (* 27.0 k))
24.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
6.0ms
(* x (* z y))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0372467
11557388
25001388

prune140.0ms

Filtered
52 candidates to 93 candidates (-78.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh066
Picked011
Done000
Total919100

Merged error: 2.4b

Counts
100 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
0.2b
(* (* j 27.0) k)
2.9b
(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
5.9b
(* (* x 18.0) (* y z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity associate-*r*
5×associate-*l*
3×sub-neg *-commutative
2×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*r/ flip--
1×sum-log associate--r+ unswap-sqr
Counts
4 → 78
Calls
4 calls:
6.0ms
(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
4.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
8.0ms
(* (* x 18.0) (* y z))

series59.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
3.0ms
(* (* j 27.0) k)
24.0ms
(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms
(* (* x 18.0) (* y z))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0480583
12123497
25002497

prune93.0ms

Filtered
50 candidates to 90 candidates (-80.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh167
Picked101
Done011
Total91899

Merged error: 2.4b

Counts
99 → 8

regimes2.3s

Accuracy

55.2% (1.8b remaining)

Error of 3.9b against oracle of 2.2b and baseline of 6.1b

bsearch143.0ms

Steps
ItersRangePoint
10
3.46744253390726e-53
2.7885448407538094e-40
2.939932891452416e-45
7
-5.2072099279373076e+123
-1.3621500341630557e+122
-1.2087256822354184e+123

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06628
16628

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.4s16332×body80valid

Profiling

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