Details

Time bar (total: 12.9s)

sample44.0ms

Algorithm
intervals
Results
19.0ms353×body80valid

simplify39.0ms

Counts
1 → 1
Iterations
IterNodes
done60
460
345
223
110
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- 1.0 (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
16.0ms
(* x (- 1.0 (* x y)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* x (- 1.0 (* x y)))

simplify869.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2721
1174
071

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 1.0 (* y x)))
53.1b
(fma (- y) x (* y x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity prod-diff add-cube-cbrt
5×distribute-rgt-in distribute-lft-in
4×pow1 add-cbrt-cube add-exp-log
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- unswap-sqr
Counts
2 → 42
Calls
2 calls:
30.0ms
(* x (- 1.0 (* y x)))
1.0ms
(fma (- y) x (* y x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* x (- 1.0 (* y x)))
27.0ms
(fma (- y) x (* y x))

simplify874.0ms

Counts
48 → 48
Iterations
IterNodes
done5000
2770
1191
084

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
47.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt (- 1.0 (* x y)))
327.0ms
(cbrt (- 1.0 (* x y)))
300.0ms
(cbrt (- 1.0 (* x y)))
346.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.7s

Counts
107 → 107
Iterations
IterNodes
done5001
21597
1397
0150

prune742.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y)))))
0.2b
(* (cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
388×cbrt-div
168×frac-times
142×flip3-- flip--
84×associate-*l/
36×associate-*r/
28×add-sqr-sqrt
27×cbrt-prod
17×add-cube-cbrt
16×*-un-lft-identity
13×pow1
12×associate-*r*
10×pow1/3 associate-*l*
8×add-exp-log
7×swap-sqr
6×unswap-sqr
4×expm1-log1p-u add-cbrt-cube pow-prod-down log1p-expm1-u add-log-exp
2×prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus pow3 rem-cbrt-cube
Counts
4 → 210
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x y)))
40.0ms
(cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y)))))
50.0ms
(* (cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
40.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
362.0ms
(cbrt (- 1.0 (* x y)))
327.0ms
(cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y)))))
305.0ms
(* (cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
305.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify2.6s

Counts
222 → 222
Iterations
IterNodes
done5001
22760
1813
0364

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample897.0ms

Algorithm
intervals
Results
405.0ms10662×body80valid