Details

Time bar (total: 16.0s)

sample61.0ms

Algorithm
intervals
Results
28.0ms275×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
333737
4113037
done500037

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
3.6b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite780.0ms

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:
126.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
39.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
442.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series963.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
92.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
216.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
578.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02062567
15962515
232012179
done50022173

prune831.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite24.0ms

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:
23.0ms
(* 1.6453555072203998 (* y b))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* 1.6453555072203998 (* y b))

simplify2.9s

Counts
21 → 21
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
035154
186151
2313121
31269121
done5001121

prune157.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 1.6453555072203998 y) b)

rewrite27.0ms

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:
26.0ms
(* (* 1.6453555072203998 y) b)

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (* 1.6453555072203998 y) b)

simplify589.0ms

Counts
21 → 21
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
039157
1104152
2673126
done5000126

prune142.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize22.0ms

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)

rewrite24.0ms

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:
17.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series983.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt b) (cbrt b))
236.0ms
(cbrt b)
252.0ms
(cbrt b)
256.0ms
(cbrt b)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune356.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

regimes1.1s

Accuracy

95.4% (1.3b remaining)

Error of 4.4b against oracle of 3.0b and baseline of 31.6b

bsearch320.0ms

Steps
ItersRangePoint
10
5.108618926184325e+61
1.897770192728618e+77
2.8593417049583473e+71
7
-5.407012520556215e+58
-6.432413953408245e+56
-9.556303061205325e+56

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04783
17165
done7165

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s8898×body80valid