Details

Time bar (total: 12.3s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01035
12035
24633
312433
434033
572833
6106233
7139533
done500133

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log add-cbrt-cube
60×*-un-lft-identity
48×times-frac
32×prod-exp cbrt-unprod
28×cbrt-undiv add-sqr-sqrt div-exp
24×add-cube-cbrt swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
16×distribute-lft-out
10×flip3-+ flip-+ div-inv
8×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
4 → 192
Calls
4 calls:
34.0ms
(/ (* 2.0 t) (+ 1.0 t))
34.0ms
(/ (* 2.0 t) (+ 1.0 t))
82.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
128.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (* 2.0 t) (+ 1.0 t))
69.0ms
(/ (* 2.0 t) (+ 1.0 t))
78.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
71.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify3.2s

Counts
204 → 204
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01503772
15283344
238412674
done50002576

prune459.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
1.4b
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
41×add-exp-log
40×add-cbrt-cube
39×unpow-prod-down
36×exp-prod
32×times-frac
30×sqrt-prod
27×add-sqr-sqrt
25×add-cube-cbrt
19×log-pow
15×prod-exp cbrt-unprod
14×pow1 associate-/r/
12×cbrt-undiv swap-sqr div-exp
10×associate-*r* associate-*l* distribute-lft-out
7×flip3-+ flip-+ div-inv
5×add-log-exp
4×expm1-log1p-u pow-unpow log1p-expm1-u
3×unpow-prod-up log-prod pow-pow sqr-pow
1×pow2 frac-times pow-to-exp sqrt-pow1 pow-plus pow1/2 associate-*r/ rem-log-exp pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-exp-log unswap-sqr
Counts
4 → 163
Calls
4 calls:
62.0ms
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
78.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
67.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

series1.1s

Counts
4 → 12
Calls
4 calls:
402.0ms
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
85.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
282.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
287.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

simplify598.0ms

Counts
175 → 175
Iterations

Useful iterations: done (590.0ms)

IterNodesCost
03113470
19612863
done50002449

prune794.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
1.4b
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
2.5b
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
41×add-exp-log
40×add-cbrt-cube
28×times-frac
26×unpow-prod-down
24×add-sqr-sqrt
22×add-cube-cbrt log-pow
20×sqrt-prod
19×exp-prod
15×pow1 prod-exp cbrt-unprod
12×cbrt-undiv swap-sqr div-exp associate-/r/
10×associate-*r* associate-*l*
9×distribute-lft-out
6×log-prod flip3-+ flip-+ div-inv
5×add-log-exp
4×expm1-log1p-u pow-unpow log1p-expm1-u
3×pow-pow
2×unpow-prod-up rem-log-exp sqr-pow
1×pow2 frac-times pow-to-exp exp-to-pow sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 unswap-sqr
Counts
4 → 151
Calls
4 calls:
86.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
31.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
91.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
10.0ms
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
288.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
223.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
61.0ms
(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify519.0ms

Counts
163 → 163
Iterations

Useful iterations: done (514.0ms)

IterNodesCost
02973317
18892736
done50002305

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01035
11435
done1435

end0.0ms

sample837.0ms

Algorithm
intervals
Results
635.0ms8000×body80valid