Details

Time bar (total: 15.8s)

sample27.0ms

Algorithm
intervals
Results
12.0ms343×body80valid

simplify44.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
34.0ms
(* x (- 1.0 (* x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* x y)))

simplify2.7s

Counts
35 → 35
Iterations
IterNodes
done5001
32247
2496
1165
071

prune128.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

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:
7.0ms
(+ (* x 1.0) (* x (- (* x y))))
18.0ms
(* x (- (* x y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* x 1.0) (* x (- (* x y))))
39.0ms
(* x (- (* x y)))

simplify3.3s

Counts
47 → 47
Iterations
IterNodes
done5000
33871
2794
1204
070

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
21.8b
(cbrt (* x (- (* x y))))
21.8b
(cbrt (* x (- (* x y))))
21.8b
(cbrt (* x (- (* x y))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
41.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
9.0ms
(cbrt (* x (- (* x y))))
9.0ms
(cbrt (* x (- (* x y))))
9.0ms
(cbrt (* x (- (* x y))))

series684.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
176.0ms
(cbrt (* x (- (* x y))))
153.0ms
(cbrt (* x (- (* x y))))
129.0ms
(cbrt (* x (- (* x y))))

simplify1.6s

Counts
78 → 78
Iterations
IterNodes
done5000
31547
2566
1234
093

prune480.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube 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 → 81
Calls
4 calls:
18.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (cbrt x) (cbrt x))
258.0ms
(cbrt x)
285.0ms
(cbrt x)
262.0ms
(cbrt x)

simplify3.4s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune493.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done24
324
223
118
08

end0.0ms

sample769.0ms

Algorithm
intervals
Results
493.0ms10667×body80valid