Details

Time bar (total: 13.7s)

sample45.0ms

Algorithm
intervals
Results
31.0ms264×body80valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done47
547
445
341
235
126
015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
3.5b
(/ (* y b) t)
6.2b
(/ (* y z) t)
11.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
26×times-frac
24×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 frac-add associate-/r/ insert-posit16
3×clear-num sum-log frac-2neg div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 110
Calls
4 calls:
21.0ms
(+ (+ a 1.0) (/ (* y b) t))
11.0ms
(/ (* y b) t)
9.0ms
(/ (* y z) t)
45.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (+ a 1.0) (/ (* y b) t))
31.0ms
(/ (* y b) t)
29.0ms
(/ (* y z) t)
110.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify604.0ms

Counts
122 → 122
Iterations
IterNodes
done2001
21873
1494
0191

prune504.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.5b
(/ (* y b) t)
4.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.4b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ insert-posit16 div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×clear-num frac-2neg frac-add associate-/l/
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 136
Calls
4 calls:
1.0ms
(cbrt t)
13.0ms
(/ (* y b) t)
41.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
74.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series673.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt t)
33.0ms
(/ (* y b) t)
72.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
321.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify579.0ms

Counts
148 → 148
Iterations
IterNodes
done2002
1790
0267

prune962.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.2b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.4b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube
25×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+ div-inv
4×frac-times associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 170
Calls
4 calls:
1.0ms
(cbrt t)
30.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
34.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
43.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt t)
64.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
54.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
413.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify715.0ms

Counts
182 → 182
Iterations
IterNodes
done2001
1992
0325

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt t) (cbrt t)))
3.9b
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))
4.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.4b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
141×add-sqr-sqrt
69×cbrt-prod
62×*-un-lft-identity add-cube-cbrt
59×add-exp-log
53×associate-*r*
39×associate-*l*
38×add-cbrt-cube
26×unswap-sqr
22×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
9×div-inv
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+
4×frac-times associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 220
Calls
4 calls:
5.0ms
(cbrt (* (cbrt t) (cbrt t)))
58.0ms
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))
38.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
62.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
400.0ms
(cbrt (* (cbrt t) (cbrt t)))
63.0ms
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))
70.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
422.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ b (cbrt (cbrt t))))))

simplify922.0ms

Counts
232 → 232
Iterations
IterNodes
done2002
11439
0456

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.2b

regimes1.0s

Accuracy

-9.9% (4.7b remaining)

Error of 15.0b against oracle of 10.3b and baseline of 14.6b

bsearch231.0ms

Steps
ItersRangePoint
8
-3.538724551200885e-303
-1.0180184649015773e-306
-1.0344055968847788e-306
8
-2.4138146968468957e-140
-3.800689610994628e-143
-3.8379120371637104e-143

simplify18.0ms

Iterations
IterNodes
done76
176
054

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8300×body80valid