Details

Time bar (total: 5.1s)

sample68.0ms

Algorithm
intervals
Results
46.0ms275×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.8b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
19.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
52.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
45.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series750.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
70.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
177.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
467.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify80.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05871179
12851995
25002995

prune474.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series63.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

simplify74.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune103.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series57.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

simplify78.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune107.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
0.2b
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
0.2b
(* (cbrt 1.6453555072203998) (* y b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
27.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
7.0ms
(* (cbrt 1.6453555072203998) (* y b))

series207.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
72.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
46.0ms
(* (cbrt 1.6453555072203998) (* y b))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0251516
11008396
25002368

prune155.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.8b

regimes617.0ms

Accuracy

94.8% (1.2b remaining)

Error of 4.5b against oracle of 3.3b and baseline of 25.8b

bsearch234.0ms

Steps
ItersRangePoint
8
8.284753751826731e+42
2.6713472589340262e+45
6.275897102199269e+44
5
-1.6744887436759647e+47
-4.3071174146584635e+46
-6.131243960090912e+46

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8866×body80valid