Details

Time bar (total: 15.4s)

sample65.0ms

Algorithm
intervals
Results
22.0ms358×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.2b
(/ (* y (- z t)) a)

rewrite53.0ms

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-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in 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 → 61
Calls
3 calls:
23.0ms
(* y (- z t))
8.0ms
(+ x (/ (* y (- z t)) a))
20.0ms
(/ (* y (- z t)) a)

series213.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* y (- z t))
85.0ms
(+ x (/ (* y (- z t)) a))
80.0ms
(/ (* y (- z t)) a)

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done5001
21185
1316
0116

prune480.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.2b
(* (/ y a) (- z t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+r+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
6.0ms
(+ x (* (/ y a) (- z t)))
37.0ms
(* (/ y a) (- z t))

series159.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ x (* (/ y a) (- z t)))
75.0ms
(* (/ y a) (- z t))

simplify1.2s

Counts
63 → 63
Iterations
IterNodes
done5000
21417
1330
0123

prune449.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.7b
(* (/ (cbrt y) a) (- z t))
2.9b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×distribute-rgt-in cbrt-undiv distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
28.0ms
(* (/ (cbrt y) a) (- z t))
95.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

series972.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt y)
272.0ms
(cbrt y)
298.0ms
(* (/ (cbrt y) a) (- z t))
133.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

simplify936.0ms

Counts
147 → 147
Iterations
IterNodes
done5001
1743
0224

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.1b
(/ y (/ a (- z t)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
75.0ms
(+ x (/ y (/ a (- z t))))
19.0ms
(/ a (- z t))
27.0ms
(/ y (/ a (- z t)))

series647.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ x (/ y (/ a (- z t))))
488.0ms
(/ a (- z t))
90.0ms
(/ y (/ a (- z t)))

simplify1.8s

Counts
160 → 160
Iterations
IterNodes
done5002
22902
1629
0245

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes664.0ms

Accuracy

67.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch179.0ms

Steps
ItersRangePoint
3
2.150177207772205e+52
2.915474134638951e+52
2.1817285828252516e+52
8
3.3207391809551394e-143
1.3865205033157676e-139
2.3996719980727017e-142
9
-3.27334652413423e-10
-2.567166085843448e-19
-1.5982814066709494e-10

simplify11.0ms

Iterations
IterNodes
done36
136
029

end0.0ms

sample1.6s

Algorithm
intervals
Results
607.0ms10743×body80valid