Details

Time bar (total: 14.3s)

sample83.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
101417
9670
8579
7535
6492
5411
4271
3144
267
125
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
50.0ms
(* (+ t1 u) (+ t1 u))
30.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
123.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5001
23391
1430
0116

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
2 → 126
Calls
2 calls:
16.0ms
(/ v (+ t1 u))
109.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ v (+ t1 u))
211.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.2s

Counts
132 → 132
Iterations
IterNodes
done5001
22982
1531
0175

prune641.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 55
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series998.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (+ t1 u))
245.0ms
(cbrt t1)
286.0ms
(cbrt t1)
285.0ms
(cbrt t1)

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
done5000
31921
2503
1154
073

prune545.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.8b
(* (/ (- t1) (+ t1 u)) v)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
46×associate-*l*
45×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp associate-/r/ cbrt-unprod
3×associate-*r* distribute-frac-neg
2×distribute-lft-neg-out expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 99
Calls
2 calls:
41.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
55.0ms
(* (/ (- t1) (+ t1 u)) v)

series324.0ms

Counts
2 → 6
Calls
2 calls:
197.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
127.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts
105 → 105
Iterations
IterNodes
done5001
22254
1396
0151

prune487.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes290.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done50
650
548
445
334
223
119
014

end0.0ms

sample720.0ms

Algorithm
intervals
Results
476.0ms8266×body80valid