Details

Time bar (total: 25.3s)

sample124.0ms

Algorithm
intervals
Results
28.0ms263×body80valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5003
123633
111325
10543
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
15.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite246.0ms

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×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 → 70
Calls
2 calls:
136.0ms
(* (+ t1 u) (+ t1 u))
103.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series205.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (+ t1 u) (+ t1 u))
175.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.3s

Counts
76 → 76
Iterations
IterNodes
done5002
21966
1423
0113

prune493.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite208.0ms

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×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 → 192
Calls
3 calls:
29.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
139.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series458.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ (- t1) (+ t1 u))
125.0ms
(/ v (+ t1 u))
251.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify3.2s

Counts
201 → 201
Iterations
IterNodes
done5001
22403
1644
0213

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.1b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.2b
(* (/ (- t1) (+ t1 u)) v)

rewrite178.0ms

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-exp-log add-cbrt-cube
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×distribute-frac-neg prod-exp cbrt-unprod
3×flip3-+ associate-*r* flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*l/ clear-num unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 165
Calls
3 calls:
25.0ms
(/ (- t1) (+ t1 u))
49.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
90.0ms
(* (/ (- t1) (+ t1 u)) v)

series813.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- t1) (+ t1 u))
582.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
151.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify2.9s

Counts
174 → 174
Iterations
IterNodes
done5001
21605
1513
0192

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t1)
0.5b
(cbrt t1)
0.5b
(cbrt t1)
3.2b
(* (* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (cbrt t1) (cbrt (+ t1 u)))) v)

rewrite520.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
23×add-cbrt-cube
15×prod-exp cbrt-unprod
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×cbrt-undiv div-exp
4×associate-*l/ add-log-exp
3×pow1/3 associate-*r* pow-prod-down
2×distribute-lft-neg-out
1×frac-times associate-*r/ distribute-frac-neg associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
512.0ms
(* (* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (cbrt t1) (cbrt (+ t1 u)))) v)

series1.3s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt t1)
386.0ms
(cbrt t1)
365.0ms
(cbrt t1)
143.0ms
(* (* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ (cbrt t1) (cbrt (+ t1 u)))) v)

simplify2.8s

Counts
77 → 77
Iterations
IterNodes
done5000
21561
1351
0111

prune576.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done54
554
452
337
226
122
014

end0.0ms

sample1.0s

Algorithm
intervals
Results
703.0ms8243×body80valid