Details

Time bar (total: 4.6s)

sample47.0ms

Algorithm
intervals
Results
32.0ms436×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

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: 0.2b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log add-cbrt-cube
71×prod-exp cbrt-unprod
68×pow1
37×pow-prod-down
27×associate-*l*
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
10×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod *-commutative
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 145
Calls
4 calls:
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
63.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series150.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
73.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify85.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07821639
13354995
25001891

prune461.0ms

Filtered
155 candidates to 80 candidates (51.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1514155
Fresh000
Picked011
Done000
Total1515156

Merged error: 0.1b

Counts
156 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp sqrt-prod *-commutative
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 115
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series100.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify48.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0361646
11464469
25001461

prune487.0ms

Filtered
125 candidates to 67 candidates (53.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh033
Picked011
Done011
Total1255130

Merged error: 0.1b

Counts
130 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)
7.5b
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
7.5b
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
86×pow1
62×pow-prod-down
25×add-exp-log add-cbrt-cube
17×sqrt-pow1
13×add-sqr-sqrt associate-*l*
12×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×times-frac
5×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/2 div-exp associate-*l/
2×sqrt-div
1×rem-sqrt-square associate-*r* *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)
58.0ms
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
55.0ms
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))

series250.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)
100.0ms
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
106.0ms
(sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0298843
11032733
25001703

prune422.0ms

Filtered
105 candidates to 66 candidates (62.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1041105
Fresh022
Picked011
Done022
Total1046110

Merged error: 0.1b

Counts
110 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(expm1 (log1p (sqrt PI)))
1.0b
(sqrt PI)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
102×add-exp-log add-cbrt-cube
68×prod-exp cbrt-unprod
49×pow1
34×pow-prod-down
26×associate-*l*
20×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
18×times-frac
10×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod
2×associate-*r* associate-*l/ *-commutative div-inv
1×rem-sqrt-square expm1-log1p sqrt-pow1 pow1/2 expm1-udef
Counts
4 → 126
Calls
4 calls:
62.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(expm1 (log1p (sqrt PI)))
2.0ms
(sqrt PI)

series124.0ms

Counts
4 → 8
Calls
4 calls:
73.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(expm1 (log1p (sqrt PI)))
0.0ms
(sqrt PI)

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07151476
12862900
25002757

prune444.0ms

Filtered
134 candidates to 75 candidates (56.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1331134
Fresh202
Picked011
Done123
Total1364140

Merged error: 0.1b

Counts
140 → 4

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04142
14142

end0.0ms

sample1.1s

Algorithm
intervals
Results
917.0ms14065×body80valid