Details

Time bar (total: 16.5s)

sample208.0ms

Algorithm
intervals
Results
22.0ms265×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
101226
9555
8476
7436
6412
5356
4239
3132
265
125
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite66.0ms

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×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 → 70
Calls
2 calls:
32.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (+ t1 u) (+ t1 u))
108.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.1s

Counts
76 → 76
Iterations
IterNodes
done5000
23266
1422
0112

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

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×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 → 192
Calls
3 calls:
21.0ms
(/ (- t1) (+ t1 u))
15.0ms
(/ v (+ t1 u))
82.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (- t1) (+ t1 u))
33.0ms
(/ v (+ t1 u))
203.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.2s

Counts
201 → 201
Iterations
IterNodes
done5000
23633
1646
0213

prune999.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.4b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.0b
(* (- t1) (/ v (+ t1 u)))

rewrite73.0ms

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 distribute-rgt-neg-in flip3-+ flip-+ 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 → 107
Calls
3 calls:
22.0ms
(/ v (+ t1 u))
19.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
26.0ms
(* (- t1) (/ v (+ t1 u)))

series227.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
103.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
95.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.7s

Counts
116 → 116
Iterations
IterNodes
done5000
22644
1406
0136

prune576.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.2b
(* (- t1) (/ 1 (+ t1 u)))
1.7b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
49×add-exp-log
38×add-sqr-sqrt times-frac
36×associate-*r*
31×add-cbrt-cube add-cube-cbrt
22×prod-exp
12×div-exp cbrt-unprod
11×associate-*l*
10×pow1 distribute-lft-out
7×cbrt-undiv
6×associate-/r/
4×associate-/r* pow-prod-down associate-*r/
3×distribute-lft-neg-out distribute-lft-neg-in rec-exp distribute-rgt-neg-in flip3-+ 1-exp un-div-inv flip-+ div-inv associate-/l* add-log-exp unswap-sqr
2×frac-times associate-*l/ *-commutative
1×clear-num neg-mul-1 frac-2neg
Counts
3 → 133
Calls
3 calls:
13.0ms
(/ v (+ t1 u))
51.0ms
(* (- t1) (/ 1 (+ t1 u)))
80.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series317.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ v (+ t1 u))
77.0ms
(* (- t1) (/ 1 (+ t1 u)))
196.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify3.4s

Counts
142 → 142
Iterations
IterNodes
done5001
24447
1575
0178

prune539.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
321
218
112
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
877.0ms8247×body80valid