Details

Time bar (total: 21.2s)

sample46.0ms

Algorithm
intervals
Results
19.0ms342×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
40.0ms
(* (- 1.0 y) z)
21.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
58.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: 3 (765.0ms)

IterNodesCost
093536
1212518
2649458
32455450
done5001450

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

3.1b
(* (* x z) (- y 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
52.0ms
(* (* x z) (- y 1.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (* x z) (- y 1.0))

simplify2.7s

Counts
29 → 29
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
064297
1172290
2687240
32784240
done5000240

prune89.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* x z) (- y 1.0))
5.6b
(cbrt (* (* x z) (- y 1.0)))
5.6b
(cbrt (* (* x z) (- y 1.0)))
5.6b
(cbrt (* (* x z) (- y 1.0)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
32.0ms
(* (* x z) (- y 1.0))
28.0ms
(cbrt (* (* x z) (- y 1.0)))
41.0ms
(cbrt (* (* x z) (- y 1.0)))
24.0ms
(cbrt (* (* x z) (- y 1.0)))

series899.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* x z) (- y 1.0))
328.0ms
(cbrt (* (* x z) (- y 1.0)))
267.0ms
(cbrt (* (* x z) (- y 1.0)))
222.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify3.8s

Counts
71 → 71
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01371329
13551289
211701122
34274960
done5001906

prune322.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* x z) (- y 1.0))
5.6b
(cbrt (* (* x z) (- y 1.0)))
5.6b
(cbrt (* (* x z) (- y 1.0)))
8.7b
(cbrt (* x z))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r/
5×add-cube-cbrt associate-*r*
4×cbrt-div add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
33.0ms
(* (* x z) (- y 1.0))
20.0ms
(cbrt (* (* x z) (- y 1.0)))
26.0ms
(cbrt (* (* x z) (- y 1.0)))
4.0ms
(cbrt (* x z))

series696.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* x z) (- y 1.0))
299.0ms
(cbrt (* (* x z) (- y 1.0)))
245.0ms
(cbrt (* (* x z) (- y 1.0)))
85.0ms
(cbrt (* x z))

simplify3.4s

Counts
69 → 69
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01551071
13921039
21243899
34481778
done5001744

prune299.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes345.0ms

Accuracy

92.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch73.0ms

Steps
ItersRangePoint
7
2.9279762096116057e-78
2.3908766220850903e-76
7.681675611657619e-77
7
-1.4237771402059297e-13
-1.0564786291485635e-15
-1.129991475236902e-15

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01939
12829
done2829

end0.0ms

sample938.0ms

Algorithm
intervals
Results
437.0ms10043×body80valid