Details

Time bar (total: 5.4s)

sample47.0ms

Algorithm
intervals
Results
25.0ms282×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 29.0b

Counts
2 → 1

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.1b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite62.0ms

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:
10.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* 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))

series929.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
168.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
457.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05761201
127971026
250011026

prune412.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New90999
Fresh000
Picked011
Done000
Total9010100

Merged error: 1.9b

Counts
100 → 10

localize6.0ms

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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 1.6453555072203998 (* y b))

simplify89.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune68.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh088
Picked101
Done011
Total201131

Merged error: 1.9b

Counts
31 → 11

localize6.0ms

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-*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)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (* 1.6453555072203998 y) b)

simplify63.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09872
148657
2239057
3500257

prune67.0ms

Filtered
21 candidates to 12 candidates (57.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh189
Picked101
Done011
Total221032

Merged error: 1.9b

Counts
32 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
2.0ms
(cbrt b)

series763.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt b) (cbrt b))
189.0ms
(cbrt b)
186.0ms
(cbrt b)
185.0ms
(cbrt b)

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune206.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh088
Picked101
Done011
Total841195

Merged error: 1.9b

Counts
95 → 11

regimes906.0ms

Accuracy

94.4% (1.3b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 26.2b

bsearch299.0ms

Steps
ItersRangePoint
10
1.8176031996847428e+30
3.341288634873774e+42
8.553105317888274e+40
8
-5.059230063200455e+44
-1.8393908329007525e+40
-6.745685946896042e+43

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample1.2s

Algorithm
intervals
Results
839.0ms8935×body80valid

Profiling

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