Details

Time bar (total: 26.6s)

sample38.0ms

Algorithm
intervals
Results
15.0ms466×body80valid

simplify229.0ms

Counts
1 → 1
Iterations
IterNodes
done174
7174
6160
5140
4110
365
227
111
04

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
82.0ms
(* (+ x y) (+ x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (+ x y) (+ x y))

simplify6.0s

Counts
45 → 45
Iterations
IterNodes
done5000
34152
2833
1230
064

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y y (* x x))
0.0b
(fma (* y x) 2 (fma y y (* x x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma y y (* x x))
1.0ms
(fma (* y x) 2 (fma y y (* x x)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(fma y y (* x x))
79.0ms
(fma (* y x) 2 (fma y y (* x x)))

simplify3.0s

Counts
26 → 26
Iterations
IterNodes
done5002
41636
3350
2120
153
034

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
231.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
10.0ms
(cbrt (+ x y))
10.0ms
(cbrt (+ x y))

series1.5s

Counts
4 → 12
Calls
4 calls:
472.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
342.0ms
(cbrt (+ x y))
403.0ms
(cbrt (+ x y))
312.0ms
(cbrt (+ x y))

simplify4.5s

Counts
115 → 115
Iterations
IterNodes
done5001
31882
2698
1285
0120

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ x y) (cbrt (* (+ x y) (+ x y))))
0.3b
(* (* (+ x y) (cbrt (* (+ x y) (+ x y)))) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
4.5b
(cbrt (* (+ x y) (+ x y)))

rewrite547.0ms

Algorithm
rewrite-expression-head
Rules
168×frac-times
160×cbrt-div
142×flip3-+ flip-+
60×associate-*r/ associate-*l/
15×*-un-lft-identity
12×add-sqr-sqrt
11×pow1 add-exp-log cbrt-prod associate-*r*
9×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-lft-out
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 188
Calls
4 calls:
70.0ms
(* (+ x y) (cbrt (* (+ x y) (+ x y))))
334.0ms
(* (* (+ x y) (cbrt (* (+ x y) (+ x y)))) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
60.0ms
(cbrt (* (+ x y) (+ x y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (+ x y) (cbrt (* (+ x y) (+ x y))))
91.0ms
(* (* (+ x y) (cbrt (* (+ x y) (+ x y)))) (cbrt (+ x y)))
509.0ms
(cbrt (+ x y))
263.0ms
(cbrt (* (+ x y) (+ x y)))

simplify4.0s

Counts
200 → 200
Iterations
IterNodes
done5002
22630
1909
0335

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
611.0ms14252×body80valid