Details

Time bar (total: 5.8s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
16.0ms
(- x (/ y 200.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- x (/ y 200.0))

simplify1.6s

Counts
62 → 62
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01551719
13831509
214801049
done5001745

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y 200.0))
0.3b
(* (/ y 200.0) (/ y 200.0))
2.2b
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
28.0b
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
55×add-sqr-sqrt *-un-lft-identity
43×add-cube-cbrt
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×distribute-lft-out difference-of-squares
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp associate-/r* cbrt-unprod log1p-expm1-u associate-/l* unswap-sqr
3×fma-def
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-times sub-neg frac-2neg pow-plus fma-neg diff-log div-sub associate-*r/ prod-diff pow-prod-down associate-*l/ clear-num sum-log pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
17.0ms
(+ x (/ y 200.0))
54.0ms
(* (/ y 200.0) (/ y 200.0))
18.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
61.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ x (/ y 200.0))
31.0ms
(* (/ y 200.0) (/ y 200.0))
50.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
95.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

simplify541.0ms

Counts
158 → 158
Iterations

Useful iterations: done (536.0ms)

IterNodesCost
02162469
17002277
done50002085

prune362.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ y (cbrt 200.0)) (/ y 200.0))
0.2b
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))
2.2b
(- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0))))
28.0b
(/ (- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))) (+ x (/ y 200.0)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
169×add-exp-log
82×prod-exp
69×add-cbrt-cube
54×add-sqr-sqrt
53×div-exp
49×times-frac
43×*-un-lft-identity
36×cbrt-unprod
35×add-cube-cbrt
29×associate-*l*
27×cbrt-undiv
14×associate-*r*
11×pow1 cbrt-prod
10×rec-exp 1-exp
6×frac-times associate-*r/ add-log-exp unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ associate-/r* log1p-expm1-u div-inv distribute-lft-out
3×associate-/l*
2×flip3-- associate-/r/ *-commutative flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub prod-diff clear-num flip-+
Counts
4 → 194
Calls
4 calls:
39.0ms
(* (/ y (cbrt 200.0)) (/ y 200.0))
105.0ms
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))
16.0ms
(- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0))))
69.0ms
(/ (- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))) (+ x (/ y 200.0)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (/ y (cbrt 200.0)) (/ y 200.0))
161.0ms
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))
136.0ms
(- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0))))
180.0ms
(/ (- (* x x) (* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (* (/ y (cbrt 200.0)) (/ y 200.0)))) (+ x (/ y 200.0)))

simplify560.0ms

Counts
206 → 206
Iterations

Useful iterations: done (550.0ms)

IterNodesCost
03074661
110284315
done50013588

prune717.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample524.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid