Details

Time bar (total: 16.7s)

sample67.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
12512
26712
314412
427612
543112
651412
755712
860112
969212
10143112
done500012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
14.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
46.0ms
(* (+ t1 u) (+ t1 u))
59.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (+ t1 u) (+ t1 u))
152.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.5s

Counts
80 → 80
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01171120
14381029
23364869
done5000858

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 198
Calls
3 calls:
30.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
108.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series300.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))
198.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.3s

Counts
207 → 207
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02192553
16552446
237112296
done50012290

prune598.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t1))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ distribute-lft-out
1×neg-mul-1
Counts
4 → 68
Calls
4 calls:
4.0ms
(cbrt (- t1))
8.0ms
(cbrt (+ t1 u))
17.0ms
(cbrt (+ t1 u))
8.0ms
(cbrt (+ t1 u))

series817.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt (- t1))
193.0ms
(cbrt (+ t1 u))
174.0ms
(cbrt (+ t1 u))
167.0ms
(cbrt (+ t1 u))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: 3 (531.0ms)

IterNodesCost
091651
1179616
2561576
32039561
done5000561

prune434.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.7b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
4.2b
(* (/ (- t1) (+ t1 u)) v)

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
47×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
21×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×frac-2neg clear-num *-commutative unswap-sqr
1×neg-sub0 frac-times pow-flip div-sub associate-*r/ un-div-inv inv-pow
Counts
4 → 233
Calls
4 calls:
14.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ 1 (+ t1 u))
118.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
47.0ms
(* (/ (- t1) (+ t1 u)) v)

series447.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (- t1) (+ t1 u))
55.0ms
(/ 1 (+ t1 u))
214.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
131.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify3.8s

Counts
245 → 245
Iterations

Useful iterations: 2 (756.0ms)

IterNodesCost
02492883
16982647
245992336
done50012336

prune660.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
11732
done1732

end0.0ms

sample1.3s

Algorithm
intervals
Results
896.0ms8236×body80valid