Details

Time bar (total: 18.4s)

sample32.0ms

Algorithm
intervals
Results
12.0ms275×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23511
36011
49611
514811
625911
743011
880411
9187511
10496111
done500111

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
10.9b
(/ (* (- y z) t) (- a z))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
32.0ms
(+ x (/ (* (- y z) t) (- a z)))
30.0ms
(* (- y z) t)
42.0ms
(/ (* (- y z) t) (- a z))

series238.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(+ x (/ (* (- y z) t) (- a z)))
38.0ms
(* (- y z) t)
93.0ms
(/ (* (- y z) t) (- a z))

simplify1.6s

Counts
72 → 72
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0124812
1334763
21672691
done5000685

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
11.2b
(/ (- y z) (/ (- a z) t))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
95.0ms
(+ x (/ (- y z) (/ (- a z) t)))
30.0ms
(/ (- a z) t)
40.0ms
(/ (- y z) (/ (- a z) t))

series306.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(+ x (/ (- y z) (/ (- a z) t)))
39.0ms
(/ (- a z) t)
138.0ms
(/ (- y z) (/ (- a z) t))

simplify1.9s

Counts
197 → 197
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02733386
18623203
241343065
done50013059

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y z) (- a z)) t))
0.0b
(/ (- y z) (- a z))
1.8b
(* (/ (- y z) (- a z)) t)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
13.0ms
(+ x (* (/ (- y z) (- a z)) t))
38.0ms
(/ (- y z) (- a z))
75.0ms
(* (/ (- y z) (- a z)) t)

series329.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(+ x (* (/ (- y z) (- a z)) t))
77.0ms
(/ (- y z) (- a z))
147.0ms
(* (/ (- y z) (- a z)) t)

simplify1.1s

Counts
122 → 122
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01671539
14441476
217291394
done50011388

prune752.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- y z) (- a z)) t) x)
0.0b
(/ (- y z) (- a z))
1.8b
(* (/ (- y z) (- a z)) t)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
31.0ms
(+ (* (/ (- y z) (- a z)) t) x)
26.0ms
(/ (- y z) (- a z))
60.0ms
(* (/ (- y z) (- a z)) t)

series335.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(+ (* (/ (- y z) (- a z)) t) x)
68.0ms
(/ (- y z) (- a z))
160.0ms
(* (/ (- y z) (- a z)) t)

simplify1.2s

Counts
122 → 122
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01671539
14441484
217031402
done50001396

prune554.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes553.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.5s

Algorithm
intervals
Results
468.0ms8715×body80valid