Details

Time bar (total: 4.0s)

sample48.0ms

Algorithm
intervals
Results
27.0ms287×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

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: 33.5b

Counts
2 → 1

localize22.0ms

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)
3.6b
(* 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))

rewrite65.0ms

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:
9.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
19.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series711.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
65.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
166.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
446.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05871179
12851995
25002995

prune397.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh000
Picked101
Done000
Total937100

Merged error: 4.6b

Counts
100 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* 1.6453555072203998 (* y b))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 1.6453555072203998 (* y b))

simplify79.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune56.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New18321
Fresh156
Picked101
Done000
Total20828

Merged error: 4.6b

Counts
28 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 1.6453555072203998 y) b)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* (* 1.6453555072203998 y) b)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* (* 1.6453555072203998 y) b)

simplify59.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09872
148657
2239057
3500257

prune54.0ms

Filtered
21 candidates to 12 candidates (57.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh077
Picked011
Done000
Total20929

Merged error: 4.6b

Counts
29 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
0.3b
(* (cbrt 1.6453555072203998) (* y b))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
7×associate-*l*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×cbrt-prod
2×associate-*r* *-commutative add-log-exp
Counts
2 → 49
Calls
2 calls:
16.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
5.0ms
(* (cbrt 1.6453555072203998) (* y b))

series115.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
44.0ms
(* (cbrt 1.6453555072203998) (* y b))

simplify118.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0187373
1768264
24629234
35001232

prune73.0ms

Filtered
55 candidates to 26 candidates (47.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53255
Fresh167
Picked101
Done101
Total56864

Merged error: 4.6b

Counts
64 → 8

regimes479.0ms

Accuracy

94.5% (1.3b remaining)

Error of 4.2b against oracle of 3.0b and baseline of 26.1b

bsearch297.0ms

Steps
ItersRangePoint
9
5.011416382658859e+47
6.660481980169663e+54
1.0496441905765776e+52
10
-8.470270378728512e+54
-7.398030449047884e+36
-2.755325917969755e+52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample1.2s

Algorithm
intervals
Results
927.0ms8896×body80valid