Details

Time bar (total: 46.4s)

sample930.0ms

Algorithm
intervals
Results
801.0ms3598×body80valid

simplify1.1s

Counts
1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt times-frac
63×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down cube-prod
22×add-exp-log add-cbrt-cube
14×pow1
13×swap-sqr associate-*r* associate-*l*
8×div-inv
6×cbrt-undiv pow-unpow div-exp
4×pow-exp prod-exp cbrt-unprod add-log-exp rem-cube-cbrt unswap-sqr
3×sqrt-prod
2×cube-div cube-mult pow-to-exp pow-pow unpow3 sqr-pow
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 172
Calls
4 calls:
32.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
12.0ms
(pow (/ 1.0 (fabs x)) 3)
12.0ms
(pow (/ 1.0 (fabs x)) 3)
2.0ms
(sqrt PI)

series125.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
39.0ms
(pow (/ 1.0 (fabs x)) 3)
48.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify2.4s

Counts
182 → 182

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
98×times-frac
76×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
20×pow1
13×unpow-prod-down cube-prod
10×div-inv
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×pow-unpow sqrt-prod
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up rem-cube-cbrt
1×cube-div cube-mult pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3 sqr-pow
Counts
4 → 193
Calls
4 calls:
32.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
16.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series158.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
47.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
65.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify2.0s

Counts
203 → 203

prune1.6s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 0.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
334×add-exp-log add-cbrt-cube
184×prod-exp cbrt-unprod
90×cbrt-undiv div-exp
63×add-sqr-sqrt
59×times-frac
49×add-cube-cbrt *-un-lft-identity
18×pow1 associate-*r*
14×associate-*l*
13×unpow-prod-down cube-prod swap-sqr
7×div-inv
6×frac-times associate-*l/
5×unswap-sqr
4×associate-*r/ pow-prod-down add-log-exp
3×pow-unpow sqrt-prod
2×pow-exp *-commutative rem-cube-cbrt
1×cube-div pow2 cube-mult pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow-plus pow1/2 unpow3 pow-sqr pow-prod-up sqr-pow
Counts
4 → 250
Calls
4 calls:
214.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
38.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series178.0ms

Counts
4 → 10
Calls
4 calls:
76.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
45.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
57.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify534.0ms

Counts
260 → 260

prune1.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.2b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4)))
0.3b
(* (/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (* 1.0 (/ 1.0 (pow (fabs x) 2))) (/ 15.0 8.0))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
121×add-exp-log
65×prod-exp
37×add-cbrt-cube
33×div-exp
25×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×times-frac
18×pow-exp
17×pow-to-exp
13×unpow-prod-down cube-prod cbrt-unprod
11×associate-*r/
9×cbrt-undiv
8×pow1
7×frac-times
6×frac-add
5×associate-*l*
4×div-inv add-log-exp
3×pow-unpow associate-*r* associate-*l/ sqrt-prod
2×flip3-+ flip-+ rem-cube-cbrt
1×cube-div distribute-rgt-in cube-mult rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down clear-num associate-/r* *-commutative associate-/l* unswap-sqr sqr-pow
Counts
4 → 145
Calls
4 calls:
18.0ms
(/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4)))
132.0ms
(* (/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (* 1.0 (/ 1.0 (pow (fabs x) 2))) (/ 15.0 8.0))))
12.0ms
(pow (/ 1.0 (fabs x)) 3)
2.0ms
(sqrt PI)

series472.0ms

Counts
4 → 10
Calls
4 calls:
170.0ms
(/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4)))
255.0ms
(* (/ (* 1.0 (pow 1.0 4)) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (* 1.0 (/ 1.0 (pow (fabs x) 2))) (/ 15.0 8.0))))
47.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify610.0ms

Counts
155 → 155

prune878.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

regimes660.0ms

Accuracy

-0.9% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify1.2s

end0.0ms

sample30.1s

Algorithm
intervals
Results
27.3s107726×body80valid