Details

Time bar (total: 14.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify23.0ms

Counts
1 → 1
Iterations
IterNodes
done58
458
344
223
110
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×*-un-lft-identity add-cube-cbrt
5×distribute-rgt-in distribute-lft-in
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ insert-posit16 log1p-expm1-u flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(- 1.0 (* x y))
17.0ms
(* x (- 1.0 (* x y)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- 1.0 (* x y))
52.0ms
(* x (- 1.0 (* x y)))

simplify2.9s

Counts
60 → 60
Iterations
IterNodes
done5002
32601
2575
1188
083

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ distribute-rgt-out unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 43
Calls
2 calls:
8.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
12.0ms
(* (- (* x y)) x)

series91.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
24.0ms
(* (- (* x y)) x)

simplify3.3s

Counts
49 → 49
Iterations
IterNodes
done5000
33590
2806
1199
071

prune225.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
9.5b
(cbrt (- (* x y)))
9.5b
(cbrt (- (* x y)))
9.5b
(cbrt (- (* x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 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 → 103
Calls
4 calls:
38.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
145.0ms
(cbrt (- (* x y)))
159.0ms
(cbrt (- (* x y)))
135.0ms
(cbrt (- (* x y)))

simplify1.8s

Counts
115 → 115
Iterations
IterNodes
done5001
31716
2603
1257
0116

prune607.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (- y))
9.5b
(cbrt (- (* x y)))
9.5b
(cbrt (- (* x y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×neg-mul-1
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (- y))
4.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))

series937.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(cbrt x)
296.0ms
(cbrt (- y))
149.0ms
(cbrt (- (* x y)))
163.0ms
(cbrt (- (* x y)))

simplify2.1s

Counts
81 → 81
Iterations
IterNodes
done5006
42446
3835
2330
1175
0100

prune517.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
324
223
118
08

end0.0ms

sample644.0ms

Algorithm
intervals
Results
438.0ms10568×body80valid