Details

Time bar (total: 13.6s)

sample43.0ms

Algorithm
intervals
Results
16.0ms335×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
82495
7794
6297
5129
479
348
228
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
7.0b
(/ (* (- y x) z) t)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×associate-/r* times-frac associate-*r*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
7.0ms
(+ x (/ (* (- y x) z) t))
17.0ms
(* (- y x) z)
22.0ms
(/ (* (- y x) z) t)

series143.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ (* (- y x) z) t))
40.0ms
(* (- y x) z)
48.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
66 → 66
Iterations
IterNodes
done5001
21508
1292
0110

prune364.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.7b
(/ (- y x) (/ t z))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 114
Calls
2 calls:
52.0ms
(+ x (/ (- y x) (/ t z)))
24.0ms
(/ (- y x) (/ t z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ x (/ (- y x) (/ t z)))
58.0ms
(/ (- y x) (/ t z))

simplify1.4s

Counts
120 → 120
Iterations
IterNodes
done5000
23013
1664
0217

prune685.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.7b
(* (- y x) (/ z t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
9.0ms
(+ x (* (- y x) (/ z t)))
42.0ms
(* (- y x) (/ z t))

series128.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ x (* (- y x) (/ z t)))
71.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5002
21522
1308
0115

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(/ (- y x) (/ t (cbrt z)))
3.0b
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
423×times-frac
294×add-sqr-sqrt
285×*-un-lft-identity
195×add-cube-cbrt
115×associate-*r*
106×cbrt-prod
45×distribute-lft-out-- difference-of-squares
30×add-exp-log
22×associate-/r*
21×add-cbrt-cube
13×div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-/l*
4×add-log-exp unswap-sqr
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×clear-num frac-2neg flip3-- div-sub associate-*l* associate-*r/ *-commutative flip--
Counts
4 → 320
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
18.0ms
(/ (- y x) (/ t (cbrt z)))
80.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

series803.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt z)
248.0ms
(cbrt z)
188.0ms
(/ (- y x) (/ t (cbrt z)))
124.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

simplify1.2s

Counts
332 → 332
Iterations
IterNodes
done5001
11570
0412

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes350.0ms

Accuracy

5% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.9b

bsearch36.0ms

Steps
ItersRangePoint
8
-1.5795895250795303e-73
-2.46247335010462e-77
-1.4743746062189412e-73

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample1.7s

Algorithm
intervals
Results
601.0ms10707×body80valid