Details

Time bar (total: 15.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify38.0ms

Counts
1 → 1
Iterations
IterNodes
done44
444
338
223
110
06

prune8.0ms

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)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
24.0ms
(* x (- 1.0 (* x y)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* x (- 1.0 (* x y)))

simplify1.7s

Counts
27 → 27
Iterations
IterNodes
done5010
31827
2416
1132
051

prune103.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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*
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log distribute-rgt-neg-in flip3-+ distribute-rgt-out unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
8.0ms
(* (- (* x y)) x)

series70.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
29.0ms
(* (- (* x y)) x)

simplify3.3s

Counts
42 → 42
Iterations
IterNodes
done5004
33359
2754
1187
065

prune242.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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×add-cbrt-cube swap-sqr associate-*r* associate-*l* 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 → 58
Calls
4 calls:
34.0ms
(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
5.0ms
(cbrt (* (- (* x y)) x))
9.0ms
(cbrt (* (- (* x y)) x))
5.0ms
(cbrt (* (- (* x y)) x))

series648.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
138.0ms
(cbrt (* (- (* x y)) x))
130.0ms
(cbrt (* (- (* x y)) x))
156.0ms
(cbrt (* (- (* x y)) x))

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done5002
31485
2586
1226
089

prune405.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite24.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt x) (cbrt x))
247.0ms
(cbrt x)
295.0ms
(cbrt x)
288.0ms
(cbrt x)

simplify4.1s

Counts
85 → 85
Iterations
IterNodes
done5007
43735
31034
2377
1136
061

prune381.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done24
324
223
118
08

end0.0ms

sample814.0ms

Algorithm
intervals
Results
435.0ms10667×body80valid