Details

Time bar (total: 15.5s)

sample47.0ms

Algorithm
intervals
Results
13.0ms257×body80valid
11.0ms258×body80nan

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010274
121274
261274
3189274
41007274
done5001274

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×distribute-rgt-in pow1 distribute-lft-in associate--r+
5×add-cbrt-cube add-exp-log
4×associate-*r* associate-*l*
2×associate-+l+ sum-log sub-neg flip3-+ diff-log associate-*l/ flip-+ distribute-lft-out
1×+-commutative flip3-- pow-prod-down prod-exp log-pow *-commutative associate-+l- cbrt-unprod flip-- unswap-sqr
Counts
3 → 62
Calls
3 calls:
5.0ms
(- x (* (+ y 0.5) (log y)))
16.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms
(* (+ y 0.5) (log y))

series416.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- x (* (+ y 0.5) (log y)))
69.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
280.0ms
(* (+ y 0.5) (log y))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013921313
138419373
2149218607
done500018445

prune371.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (* (+ y 0.5) (log y)) y))
0.2b
(- (* (+ y 0.5) (log y)) y)
0.2b
(* (+ y 0.5) (log y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
15×add-sqr-sqrt *-un-lft-identity
12×associate--l+
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×associate--r+
6×pow1
5×add-cbrt-cube add-exp-log
4×diff-log associate-*r* associate-*l*
3×sub-neg
2×flip3-- associate-*l/ flip--
1×flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
22.0ms
(- x (- (* (+ y 0.5) (log y)) y))
11.0ms
(- (* (+ y 0.5) (log y)) y)
33.0ms
(* (+ y 0.5) (log y))

series1.2s

Counts
3 → 9
Calls
3 calls:
55.0ms
(- x (- (* (+ y 0.5) (log y)) y))
690.0ms
(- (* (+ y 0.5) (log y)) y)
406.0ms
(* (+ y 0.5) (log y))

simplify1.4s

Counts
79 → 79
Iterations

Useful iterations: done (1.4s)

IterNodesCost
014623441
137921541
2139820855
done500220453

prune480.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube 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 → 73
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt y) (cbrt y))
282.0ms
(cbrt y)
242.0ms
(cbrt y)
251.0ms
(cbrt y)

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune700.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube 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 → 73
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (cbrt y) (cbrt y))
312.0ms
(cbrt y)
303.0ms
(cbrt y)
306.0ms
(cbrt y)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune574.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010274
112274
done12274

end0.0ms

sample2.0s

Algorithm
intervals
Results
984.0ms8040×body80valid
485.0ms7802×body80nan
0.0ms1×body640valid