Details

Time bar (total: 6.9s)

sample25.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
223
114
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (+ 1.0 (* y y)))

rewrite23.0ms

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-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
23.0ms
(* x (+ 1.0 (* y y)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* x (+ 1.0 (* y y)))

simplify618.0ms

Counts
27 → 27
Iterations
IterNodes
done5001
2785
1165
052

prune116.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* y x) y))
0.2b
(* (* y x) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* y x) y))
15.0ms
(* (* y x) y)

series96.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* x 1.0) (* (* y x) y))
19.0ms
(* (* y x) y)

simplify1.0s

Counts
40 → 40
Iterations
IterNodes
done5000
21264
1190
065

prune188.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (pow (* x (* y y)) 1))
10.7b
(* x (* y y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
15.0ms
(+ (* x 1.0) (pow (* x (* y y)) 1))
24.0ms
(* x (* y y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* x 1.0) (pow (* x (* y y)) 1))
42.0ms
(* x (* y y))

simplify1.2s

Counts
41 → 41
Iterations
IterNodes
done5000
21391
1208
066

prune199.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
17.4b
(cbrt (* y (* y x)))
17.4b
(cbrt (* y (* y x)))
17.4b
(cbrt (* y (* y x)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
45.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
16.0ms
(cbrt (* y (* y x)))
8.0ms
(cbrt (* y (* y x)))
8.0ms
(cbrt (* y (* y x)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
143.0ms
(cbrt (* y (* y x)))
150.0ms
(cbrt (* y (* y x)))
127.0ms
(cbrt (* y (* y x)))

simplify756.0ms

Counts
78 → 78
Iterations
IterNodes
done5000
2790
1226
090

prune439.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
07

end0.0ms

sample874.0ms

Algorithm
intervals
Results
426.0ms10691×body80valid