Details

Time bar (total: 21.4s)

sample84.0ms

Algorithm
intervals
Results
40.0ms279×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize44.0ms

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)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite476.0ms

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:
52.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
32.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
203.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
187.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series958.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
71.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
216.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
631.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02062473
15742437
221272087
done50002075

prune555.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.6b

localize39.0ms

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)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
27.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log add-cbrt-cube
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
59.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
32.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
137.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
169.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series928.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
99.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
568.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
205.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.6s

Counts
161 → 161
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02987054
17176946
225956534
done50016516

prune941.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.6b

localize32.0ms

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)
3.8b
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
28.8b
(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*l*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*r*
6×flip3-+ flip-+
5×associate-*l/
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 109
Calls
4 calls:
59.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
36.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
56.0ms
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
370.0ms
(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series909.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
99.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
193.0ms
(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
561.0ms
(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.7s

Counts
121 → 121
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02493397
17503355
226523015
done50003003

prune599.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
28.5b
(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod
4×associate-*r/ add-log-exp
3×flip3-+ times-frac associate-*r* associate-*l* associate-/r* flip-+
2×cbrt-undiv pow1/3 div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
727.0ms
(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
341.0ms
(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.7s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt z)
278.0ms
(cbrt z)
328.0ms
(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
811.0ms
(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01602434
14272414
214781838
done50011649

prune492.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes747.0ms

Accuracy

96.6% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 26.5b

bsearch301.0ms

Steps
ItersRangePoint
8
58161725028366.24
1.3010483917410328e+17
1.2853526268829621e+17
7
-1.915538204409738e+58
-3.0309842811750995e+56
-3.35177048984485e+56

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04475
16761
done6761

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s8886×body80valid