Details

Time bar (total: 8.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify430.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2269
3459
4759
51069
61219
71379
81719
92379
103239
113649
124389
134589
done4589

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
5.9b
(/ (* y (- z t)) a)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
9.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series89.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify1.6s

Counts
55 → 55
Iterations

Useful iterations: done (1.6s)

IterNodesCost
094493
1231473
2694399
33016399
done5000398

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
3.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
33.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a)
175.0ms
(cbrt a)
179.0ms
(cbrt a)
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.0s

Counts
116 → 116
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01611577
14821499
220971153
done50011147

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
3.6b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify826.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
02232062
14821930
216411854
done50001854

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (/ y a) (- z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
14.0ms
(* (/ y a) (- z t))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (/ y a) (- z t))

simplify1.5s

Counts
45 → 45
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
099475
1253466
2850410
32960410
done5000410

prune102.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

-1.9% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch76.0ms

Steps
ItersRangePoint
8
2.667056467527902e-151
5.525767292787017e-148
6.939075397429748e-149
8
-6.396913838347584e-156
-1.661443646813989e-159
-5.324908245937673e-158

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01835
12527
done2527

end0.0ms

sample642.0ms

Algorithm
intervals
Results
304.0ms10779×body80valid