Details

Time bar (total: 13.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b
(* 1.1283791670955126 (exp z))
0.8b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 84
Calls
4 calls:
17.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms
(* 1.1283791670955126 (exp z))
8.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
19.0ms
(* 1.1283791670955126 (exp z))
62.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
83.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.3s

Counts
96 → 96
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01531249
13551179
29191105
324141102
done50001100

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.1b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×*-un-lft-identity
55×add-sqr-sqrt add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp add-log-exp
7×div-inv
6×associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×fma-def
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/ distribute-lft-out
1×+-commutative sub-neg pow-flip flip3-+ fma-neg diff-log div-sub prod-diff sum-log associate-/r/ flip-+ inv-pow
Counts
4 → 144
Calls
4 calls:
28.0ms
(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
11.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series248.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
58.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
65.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.8s

Counts
156 → 156
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02352917
15762687
214902447
343872258
done50002256

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b
(/ (exp z) y)
0.1b
(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b
(* 1.1283791670955126 (/ (exp z) y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
37×times-frac
36×add-cube-cbrt
13×associate-*r* add-cbrt-cube
12×sqrt-prod
11×add-exp-log
9×associate-/l*
6×pow1 associate-/r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ associate-*r/ pow-prod-down sum-log *-commutative flip-- flip-+ distribute-lft-out
Counts
4 → 123
Calls
4 calls:
25.0ms
(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
3.0ms
(/ (exp z) y)
12.0ms
(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms
(* 1.1283791670955126 (/ (exp z) y))

series166.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
22.0ms
(/ (exp z) y)
71.0ms
(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
28.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02091813
14701624
211721509
333211492
done50001491

prune384.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series809.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt y) (cbrt y))
194.0ms
(cbrt y)
196.0ms
(cbrt y)
200.0ms
(cbrt y)

simplify3.9s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
065554
1119495
2322423
31163405
43785400
done5000400

prune322.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
done1613

end0.0ms

sample427.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid