Details

Time bar (total: 11.5s)

sample28.0ms

Algorithm
intervals
Results
11.0ms344×body80valid

simplify92.0ms

Counts
1 → 1
Iterations
IterNodes
done133
6133
5129
4118
371
232
112
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- 1.0 y) (* x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt
1×expm1-log1p-u flip3-- associate-*r* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
39.0ms
(* (- 1.0 y) (* x y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (- 1.0 y) (* x y))

simplify2.7s

Counts
27 → 27
Iterations
IterNodes
done5000
34848
2639
1146
055

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1.0 y) (* y y))
4.3b
(* x (- (* 1.0 y) (* y y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-diff
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*r/ log1p-expm1-u flip--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
12.0ms
(- (* 1.0 y) (* y y))
28.0ms
(* x (- (* 1.0 y) (* y y)))

series196.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(- (* 1.0 y) (* y y))
111.0ms
(* x (- (* 1.0 y) (* y y)))

simplify880.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
21111
1213
075

prune234.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) y)
4.3b
(* x (+ (* (- 1.0 y) y) (* y (+ (- y) y))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×associate-*r/
8×*-un-lft-identity associate-*l*
6×pow1 add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
4×frac-add
3×flip3-+ flip3-- flip-+ flip--
2×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 52
Calls
2 calls:
17.0ms
(* (- 1.0 y) y)
62.0ms
(* x (+ (* (- 1.0 y) y) (* y (+ (- y) y))))

series186.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (- 1.0 y) y)
101.0ms
(* x (+ (* (- 1.0 y) y) (* y (+ (- y) y))))

simplify3.2s

Counts
58 → 58
Iterations
IterNodes
done5001
22539
1411
0126

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* y x) (sqrt (- 1.0 y)))
0.1b
(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
14×sqrt-div
10×add-sqr-sqrt *-un-lft-identity associate-*r/ sqrt-prod
9×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
7×flip3-- flip--
6×add-cube-cbrt
4×frac-times
2×expm1-log1p-u associate-*l/ *-commutative log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 63
Calls
2 calls:
49.0ms
(* (* y x) (sqrt (- 1.0 y)))
111.0ms
(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))

series253.0ms

Counts
2 → 6
Calls
2 calls:
184.0ms
(* (* y x) (sqrt (- 1.0 y)))
69.0ms
(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
done5002
21999
1362
0132

prune277.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes95.0ms

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
done8
18
06

end0.0ms

sample1.0s

Algorithm
intervals
Results
353.0ms10708×body80valid