Details

Time bar (total: 12.8s)

sample28.0ms

Algorithm
intervals
Results
12.0ms356×body80valid

simplify1.6s

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: 5.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.2b
(/ (* (- y x) z) t)

rewrite61.0ms

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:
11.0ms
(+ x (/ (* (- y x) z) t))
25.0ms
(* (- y x) z)
22.0ms
(/ (* (- y x) z) t)

series156.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ (* (- y x) z) t))
45.0ms
(* (- y x) z)
58.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
66 → 66
Iterations
IterNodes
done5001
21508
1292
0110

prune324.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.6b
(/ (- y x) (/ t z))

rewrite57.0ms

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:
33.0ms
(+ x (/ (- y x) (/ t z)))
19.0ms
(/ (- y x) (/ t z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (/ (- y x) (/ t z)))
53.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations
IterNodes
done5000
23013
1664
0217

prune661.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.6b
(/ 1 (/ (/ t z) (- y x)))
6.2b
(/ (/ t z) (- y x))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×clear-num frac-2neg distribute-lft-out
1×+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow associate-/l/
Counts
3 → 425
Calls
3 calls:
107.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
32.0ms
(/ 1 (/ (/ t z) (- y x)))
18.0ms
(/ (/ t z) (- y x))

series192.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
86.0ms
(/ 1 (/ (/ t z) (- y x)))
59.0ms
(/ (/ t z) (- y x))

simplify1.7s

Counts
434 → 434
Iterations
IterNodes
done5000
11662
0575

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.3b
(* (- y x) (/ z t))

rewrite42.0ms

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:
6.0ms
(+ x (* (- y x) (/ z t)))
34.0ms
(* (- y x) (/ z t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (* (- y x) (/ z t)))
63.0ms
(* (- y x) (/ z t))

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5002
21522
1308
0115

prune229.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes486.0ms

Accuracy

-6.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch161.0ms

Steps
ItersRangePoint
5
6.841482733873569e-144
1.5817644654635312e-143
6.938243238828456e-144
9
1.626147445974478e-246
4.251827056011906e-237
1.0130533247725743e-244
8
-2.4212175173215518e-214
-3.152465003415573e-217
-3.6152586382211277e-215
6
-2.0718663950780893e-85
-3.612676459336324e-86
-4.800389692060424e-86

simplify9.0ms

Iterations
IterNodes
done39
139
031

end0.0ms

sample1.3s

Algorithm
intervals
Results
839.0ms10632×body80valid