Details

Time bar (total: 16.5s)

sample147.0ms

Algorithm
intervals
Results
20.0ms273×body80valid

simplify1.7s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.4b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite67.0ms

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:
41.0ms
(* (+ t1 u) (+ t1 u))
22.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
121.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.2s

Counts
80 → 80
Iterations
IterNodes
done5001
23391
1430
0116

prune395.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite123.0ms

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-cbrt-cube add-exp-log
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×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 198
Calls
3 calls:
8.0ms
(/ v (+ t1 u))
16.0ms
(/ (- t1) (+ t1 u))
91.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ v (+ t1 u))
63.0ms
(/ (- t1) (+ t1 u))
165.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.1s

Counts
207 → 207
Iterations
IterNodes
done5001
23665
1655
0219

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.6b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.8b
(* (/ (- t1) (+ t1 u)) v)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*r* flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 171
Calls
3 calls:
20.0ms
(/ (- t1) (+ t1 u))
20.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
64.0ms
(* (/ (- t1) (+ t1 u)) v)

series372.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- t1) (+ t1 u))
200.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
118.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.8s

Counts
180 → 180
Iterations
IterNodes
done5000
22856
1525
0198

prune929.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.6b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.5b
(* (- t1) (/ v (+ t1 u)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
8.0ms
(/ v (+ t1 u))
34.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
31.0ms
(* (- t1) (/ v (+ t1 u)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ v (+ t1 u))
109.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
91.0ms
(* (- t1) (/ v (+ t1 u)))

simplify2.4s

Counts
122 → 122
Iterations
IterNodes
done5001
23169
1413
0142

prune604.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done21
321
218
112
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
978.0ms8265×body80valid