Details

Time bar (total: 14.3s)

sample39.0ms

Algorithm
intervals
Results
13.0ms311×body80valid

simplify52.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.9b
(* x (- 1.0 (* y z)))

rewrite29.0ms

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/ log1p-expm1-u flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
11.0ms
(- 1.0 (* y z))
16.0ms
(* x (- 1.0 (* y z)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- 1.0 (* y z))
77.0ms
(* x (- 1.0 (* y z)))

simplify1.7s

Counts
58 → 58
Iterations
IterNodes
done5003
31921
2549
1182
081

prune214.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
5.9b
(* x (- (* y z)))

rewrite26.0ms

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 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 → 41
Calls
2 calls:
13.0ms
(+ (* x 1.0) (* x (- (* y z))))
11.0ms
(* x (- (* y z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ (* x 1.0) (* x (- (* y z))))
54.0ms
(* x (- (* y z)))

simplify3.8s

Counts
47 → 47
Iterations
IterNodes
done5000
34275
2905
1206
072

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (cbrt x) (- (* y z)))
3.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(* (cbrt x) (- (* y z)))
72.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt x)
328.0ms
(cbrt x)
156.0ms
(* (cbrt x) (- (* y z)))
85.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify1.7s

Counts
91 → 91
Iterations
IterNodes
done5001
21073
1255
095

prune507.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (- (* y (* z x))))
5.9b
(* y (* z x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u sum-log log1p-expm1-u
1×neg-sub0 +-commutative associate-+r- fma-def flip3-+ associate-*r* unsub-neg neg-log *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
8.0ms
(+ (* x 1.0) (- (* y (* z x))))
13.0ms
(* y (* z x))

series105.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* x 1.0) (- (* y (* z x))))
36.0ms
(* y (* z x))

simplify3.1s

Counts
44 → 44
Iterations
IterNodes
done5000
34010
2797
1207
073

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes350.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify15.0ms

Iterations
IterNodes
done66
366
262
143
023

end0.0ms

sample950.0ms

Algorithm
intervals
Results
381.0ms9653×body80valid