Details

Time bar (total: 17.2s)

sample52.0ms

Algorithm
intervals
Results
26.0ms291×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
102292
9780
8442
7291
6218
5165
4104
357
232
117
010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.4b
(/ (* y (- z t)) (- a t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
31.0ms
(* y (- z t))
32.0ms
(/ (* y (- z t)) (- a t))

series152.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* y (- z t))
109.0ms
(/ (* y (- z t)) (- a t))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5000
21114
1280
0105

prune420.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
16.0ms
(/ (- a t) (- z t))
27.0ms
(/ y (/ (- a t) (- z t)))

series275.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- a t) (- z t))
207.0ms
(/ y (/ (- a t) (- z t)))

simplify1.8s

Counts
200 → 200
Iterations
IterNodes
done5001
23799
1732
0270

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(* y (/ (- z t) (- a t)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
19.0ms
(/ (- z t) (- a t))
72.0ms
(* y (/ (- z t) (- a t)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- z t) (- a t))
117.0ms
(* y (/ (- z t) (- a t)))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done5000
21516
1374
0138

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.2b
(cbrt (/ (- z t) (- a t)))
3.2b
(cbrt (/ (- z t) (- a t)))
3.2b
(cbrt (/ (- z t) (- a t)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- div-inv flip--
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
124.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
13.0ms
(cbrt (/ (- z t) (- a t)))
11.0ms
(cbrt (/ (- z t) (- a t)))
10.0ms
(cbrt (/ (- z t) (- a t)))

series1.7s

Counts
4 → 12
Calls
4 calls:
372.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
437.0ms
(cbrt (/ (- z t) (- a t)))
458.0ms
(cbrt (/ (- z t) (- a t)))
473.0ms
(cbrt (/ (- z t) (- a t)))

simplify2.2s

Counts
288 → 288
Iterations
IterNodes
done5001
22030
1572
0291

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes776.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample1000.0ms

Algorithm
intervals
Results
525.0ms8760×body80valid
0.0ms1×body320valid