Details

Time bar (total: 11.1s)

sample39.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2692
72692
61460
5431
4224
397
243
122
010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.0b
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0b
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
78×add-cbrt-cube add-exp-log
56×*-un-lft-identity
49×times-frac
32×add-sqr-sqrt
30×prod-exp cbrt-unprod
28×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
9×div-inv
6×add-log-exp
4×insert-posit16
3×associate-/r* associate-/l*
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg
Counts
4 → 180
Calls
4 calls:
6.0ms
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
32.0ms
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
54.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
40.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
81.0ms
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
43.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
45.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

simplify1.2s

Counts
192 → 192
Iterations
IterNodes
done2002
22002
1658
0210

prune625.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp 1) (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0b
(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.0b
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
78×add-cbrt-cube
76×add-exp-log
51×*-un-lft-identity
40×times-frac
31×prod-exp cbrt-unprod
28×add-sqr-sqrt
24×cbrt-undiv swap-sqr div-exp
23×associate-*r* associate-*l*
22×add-cube-cbrt
21×pow1
16×associate-/r/
12×distribute-lft-out
8×flip3-+ flip-+ div-inv
6×add-log-exp
4×pow-prod-down insert-posit16
3×*-commutative unswap-sqr
2×pow2 frac-times exp-prod pow-plus associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×exp-to-pow rem-exp-log
Counts
4 → 167
Calls
4 calls:
31.0ms
(* (exp 1) (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
7.0ms
(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
40.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
53.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (exp 1) (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
44.0ms
(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
34.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
32.0ms
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

simplify927.0ms

Counts
179 → 179
Iterations
IterNodes
done2001
22001
1570
0182

prune951.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 2 (/ (+ t 1) t))
0.1b
(/ 2 (/ (+ t 1) t))
0.5b
(* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))))
1.0b
(cbrt (* (* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))))

rewrite455.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
178×*-un-lft-identity
142×add-sqr-sqrt
130×add-cube-cbrt
32×associate-/r*
26×add-cbrt-cube add-exp-log
24×distribute-lft-out
15×swap-sqr associate-*r* associate-*l*
14×div-inv
11×pow1
10×cbrt-undiv div-exp associate-/r/
7×cbrt-div
6×frac-times associate-*l/ associate-/l*
4×flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 258
Calls
4 calls:
18.0ms
(/ 2 (/ (+ t 1) t))
18.0ms
(/ 2 (/ (+ t 1) t))
198.0ms
(* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))))
208.0ms
(cbrt (* (* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 2 (/ (+ t 1) t))
351.0ms
(/ 2 (/ (+ t 1) t))
116.0ms
(* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))))
95.0ms
(cbrt (* (* (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))) (/ (+ (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t))) 1) (+ 2 (* (/ 2 (/ (+ t 1) t)) (/ 2 (/ (+ t 1) t)))))))

simplify1.5s

Counts
270 → 270
Iterations
IterNodes
done2000
22000
1993
0329

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
013

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid