Details

Time bar (total: 6.6s)

sample48.0ms

Algorithm
intervals
Results
33.0ms446×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.2b
(* (/ 1.0 5.0) (* (* (* (* (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)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×add-cube-cbrt *-un-lft-identity
22×pow-prod-down
15×associate-*l/
13×sqrt-prod
12×frac-add
9×cbrt-undiv div-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 155
Calls
4 calls:
20.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
27.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series452.0ms

Counts
4 → 10
Calls
4 calls:
339.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
65.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
47.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011964518
150013850

prune690.0ms

Filtered
165 candidates to 108 candidates (65.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
29×associate-*r*
25×associate-*l*
24×*-un-lft-identity
23×add-cube-cbrt
21×add-exp-log
16×sqrt-prod
14×unswap-sqr
12×unpow-prod-down add-cbrt-cube
11×times-frac
10×prod-exp
6×pow1 sqr-pow
4×cube-prod *-commutative cbrt-unprod add-log-exp
3×pow-to-exp sqrt-div pow-exp
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
6.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
5.0ms
(* 0.2 (pow (fabs x) 5))
16.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series483.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
64.0ms
(* 0.2 (pow (fabs x) 5))
294.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
49.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify82.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05931430
127951324
250021320

prune535.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
15.5b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
15.5b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
15.5b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
4.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
4.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
4.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
207.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
206.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
211.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0102481
1377406
21859369
35001363

prune330.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
15.5b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
20.6b
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
20.6b
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log cbrt-prod sqrt-pow1 pow1/3 add-cbrt-cube add-log-exp
2×rem-sqrt-square pow1/2
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
3.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
2.0ms
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
3.0ms
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))

series890.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
206.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
237.0ms
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
233.0ms
(sqrt (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))

simplify109.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 4 (31.0ms)

IterNodesCost
054352
1102326
2218322
3657322
43136320
55001320

prune305.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03819
13819

end0.0ms

sample1.1s

Algorithm
intervals
Results
918.0ms13945×body80valid