Details

Time bar (total: 19.9s)

sample28.0ms

Algorithm
intervals
Results
13.0ms362×body80valid

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done71
471
349
224
114
08

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (+ (* x y) z) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
21.0ms
(* (+ (* x y) z) y)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (+ (* x y) z) y)

simplify3.5s

Counts
25 → 25
Iterations
IterNodes
done5004
32275
2473
1129
050

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)

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×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:
8.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt y) (cbrt y))
252.0ms
(cbrt y)
241.0ms
(cbrt y)
232.0ms
(cbrt y)

simplify4.1s

Counts
93 → 93
Iterations
IterNodes
done5001
44322
31076
2382
1140
065

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt y)
253.0ms
(cbrt y)
319.0ms
(cbrt y)
291.0ms
(cbrt y)

simplify2.5s

Counts
64 → 64
Iterations
IterNodes
done5000
51405
4449
3196
296
146
026

prune514.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.3b
(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
7.8b
(sqrt (* (+ (* x y) z) y))
7.8b
(sqrt (* (+ (* x y) z) y))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×pow1/2
10×*-un-lft-identity pow-prod-up add-cube-cbrt
9×flip3-+ flip-+
8×add-cbrt-cube add-exp-log
7×associate-*r* associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 111
Calls
4 calls:
20.0ms
(* (+ (* x y) z) y)
82.0ms
(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
16.0ms
(sqrt (* (+ (* x y) z) y))
18.0ms
(sqrt (* (+ (* x y) z) y))

series593.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* x y) z) y)
132.0ms
(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
215.0ms
(sqrt (* (+ (* x y) z) y))
191.0ms
(sqrt (* (+ (* x y) z) y))

simplify3.2s

Counts
123 → 123
Iterations
IterNodes
done5002
33480
2819
1271
0117

prune601.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes399.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample998.0ms

Algorithm
intervals
Results
498.0ms11317×body80valid