Details

Time bar (total: 11.4s)

sample32.0ms

Algorithm
intervals
Results
12.0ms346×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4899
51489
61899
72589
84079
97619
1023289
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.9b
(/ (* y (- z t)) a)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
26.0ms
(* y (- z t))
17.0ms
(+ x (/ (* y (- z t)) a))
29.0ms
(/ (* y (- z t)) a)

series229.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* y (- z t))
87.0ms
(+ x (/ (* y (- z t)) a))
85.0ms
(/ (* y (- z t)) a)

simplify695.0ms

Counts
70 → 70
Iterations

Useful iterations: done (692.0ms)

IterNodesCost
0116722
1316679
21189613
done5001589

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
85.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series855.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt a)
242.0ms
(cbrt a)
224.0ms
(cbrt a)
121.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.7s

Counts
116 → 116
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01611577
15171511
234511161
done50001080

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
4.8b
(/ y (/ a (- z t)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
42.0ms
(+ x (/ y (/ a (- z t))))
19.0ms
(/ a (- z t))
19.0ms
(/ y (/ a (- z t)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (/ y (/ a (- z t))))
46.0ms
(/ a (- z t))
78.0ms
(/ y (/ a (- z t)))

simplify1.1s

Counts
160 → 160
Iterations

Useful iterations: 2 (364.0ms)

IterNodesCost
02452291
16292158
229052056
done50002056

prune586.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.7b
(* (/ y a) (- z t))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
18.0ms
(+ x (* (/ y a) (- z t)))
51.0ms
(* (/ y a) (- z t))

series152.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (* (/ y a) (- z t)))
81.0ms
(* (/ y a) (- z t))

simplify614.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
0123723
1330691
21414643
done5001643

prune186.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes317.0ms

Accuracy

43.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.6b

bsearch87.0ms

Steps
ItersRangePoint
8
1.9001093819323018e-92
2.491446774696817e-89
2.3327081628164374e-89
8
-1.7108187763386078e+67
-1.1134823863050361e+64
-4.029149003138143e+64

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02135
12635
done2635

end0.0ms

sample1.6s

Algorithm
intervals
Results
878.0ms10693×body80valid