Details

Time bar (total: 34.3s)

sample42.0ms

Algorithm
intervals
Results
19.0ms314×body80valid

simplify215.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
479
352
224
111
07

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize61.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.6b
(* x (- 1.0 (* y z)))

rewrite83.0ms

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:
24.0ms
(- 1.0 (* y z))
54.0ms
(* x (- 1.0 (* y z)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- 1.0 (* y z))
105.0ms
(* x (- 1.0 (* y z)))

simplify4.5s

Counts
60 → 60
Iterations
IterNodes
done5004
31997
2550
1183
083

prune706.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize55.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
8.3b
(* x (- (* y z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l* distribute-rgt-neg-out
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-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
39.0ms
(+ (* x 1.0) (* x (- (* y z))))
27.0ms
(* x (- (* y z)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(+ (* x 1.0) (* x (- (* y z))))
73.0ms
(* x (- (* y z)))

simplify8.8s

Counts
49 → 49
Iterations
IterNodes
done5000
33988
2853
1205
074

prune677.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x y) (- z)))
6.6b
(* (* x y) (- z))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ associate-*l* unsub-neg *-commutative flip-+
Counts
2 → 46
Calls
2 calls:
36.0ms
(+ (* x 1.0) (* (* x y) (- z)))
85.0ms
(* (* x y) (- z))

series494.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(+ (* x 1.0) (* (* x y) (- z)))
384.0ms
(* (* x y) (- z))

simplify7.8s

Counts
52 → 52
Iterations
IterNodes
done5001
33727
2917
1259
087

prune735.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(* (* (* x y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
4.9b
(* (* x y) (* (cbrt z) (cbrt z)))

rewrite513.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
26×add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
17×associate-*r*
12×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
2.0ms
(cbrt z)
3.0ms
(cbrt z)
396.0ms
(* (* (* x y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
105.0ms
(* (* x y) (* (cbrt z) (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt z)
306.0ms
(cbrt z)
111.0ms
(* (* (* x y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
280.0ms
(* (* x y) (* (cbrt z) (cbrt z)))

simplify4.0s

Counts
109 → 109
Iterations
IterNodes
done5002
21537
1380
0130

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.6s

Accuracy

89.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify45.0ms

Iterations
IterNodes
done52
352
246
136
019

end0.0ms

sample1.0s

Algorithm
intervals
Results
607.0ms9712×body80valid