Details

Time bar (total: 13.1s)

sample48.0ms

Algorithm
intervals
Results
32.0ms272×body80valid

simplify195.0ms

Counts
1 → 1
Iterations
IterNodes
done239
8239
7236
6216
5179
4132
382
244
119
010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
6.1b
(* (/ 2.0 (- y t)) (/ x z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
distribute-lft-out-- difference-of-squares
cbrt-undiv associate-/r* div-exp
pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
div-inv associate-/l*
flip3-- insert-posit16 flip-- add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 2.0 (- y t))
26.0ms
(* (/ 2.0 (- y t)) (/ x z))

series228.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 2.0 (- y t))
159.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5001
22312
1457
0161

prune531.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(* (/ (* (* 2.0 (cbrt x)) (cbrt x)) (- y t)) (/ (cbrt x) z))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
32×add-sqr-sqrt
26×add-cbrt-cube
25×times-frac
24×*-un-lft-identity
22×associate-*r* add-cube-cbrt
19×cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
10×cbrt-undiv div-exp
pow1
insert-posit16 add-log-exp
pow1/3 unswap-sqr
associate-/r/ div-inv
frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
58.0ms
(* (/ (* (* 2.0 (cbrt x)) (cbrt x)) (- y t)) (/ (cbrt x) z))

series949.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt x)
238.0ms
(cbrt x)
254.0ms
(cbrt x)
134.0ms
(* (/ (* (* 2.0 (cbrt x)) (cbrt x)) (- y t)) (/ (cbrt x) z))

simplify1.9s

Counts
113 → 113
Iterations
IterNodes
done5000
23365
1541
0174

prune734.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 2.0 x) (- y t))
4.7b
(/ (/ (* 2.0 x) (- y t)) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×associate-/l*
10×associate-/r/
associate-/r*
cbrt-undiv div-exp
div-inv distribute-lft-out-- difference-of-squares
flip3-- flip--
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
associate-/l/
Counts
2 → 93
Calls
2 calls:
27.0ms
(/ (* 2.0 x) (- y t))
25.0ms
(/ (/ (* 2.0 x) (- y t)) z)

series167.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (* 2.0 x) (- y t))
122.0ms
(/ (/ (* 2.0 x) (- y t)) z)

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5001
22124
1422
0167

prune460.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 2.0 x) (- y t))
4.8b
(* (/ (* 2.0 x) (- y t)) (/ 1 z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×add-sqr-sqrt
21×times-frac
20×*-un-lft-identity
17×prod-exp
16×div-exp
13×associate-*r* add-cube-cbrt
11×associate-*l*
cbrt-undiv cbrt-unprod
associate-/r*
pow1 associate-/r/
rec-exp 1-exp div-inv distribute-lft-out-- difference-of-squares unswap-sqr
flip3-- insert-posit16 flip-- add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l*
Counts
2 → 87
Calls
2 calls:
13.0ms
(/ (* 2.0 x) (- y t))
34.0ms
(* (/ (* 2.0 x) (- y t)) (/ 1 z))

series175.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (* 2.0 x) (- y t))
132.0ms
(* (/ (* 2.0 x) (- y t)) (/ 1 z))

simplify2.5s

Counts
93 → 93
Iterations
IterNodes
done5000
23512
1491
0159

prune345.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes322.0ms

Accuracy

61.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 4.9b

bsearch52.0ms

Steps
ItersRangePoint
3
9.695331876941318e-94
1.3864776888564433e-93
1.3604186575337987e-93
3
-5.551886189045924e+39
-4.4965085224381055e+39
-5.4355961856746975e+39

simplify4.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample1.2s

Algorithm
intervals
Results
937.0ms8685×body80valid