Details

Time bar (total: 14.0s)

sample36.0ms

Algorithm
intervals
Results
14.0ms303×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
217123
331123
449123
569123
680123
798123
8237123
9626123
102716123
done5001123

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ x (* (- y x) z))
28.0ms
(* (- y x) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (* (- y x) z))
34.0ms
(* (- y x) z)

simplify811.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
0687160
11676417
26436137
done50006137

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite19.0ms

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:
14.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt z) (cbrt z))
297.0ms
(cbrt z)
287.0ms
(cbrt z)
229.0ms
(cbrt z)

simplify1.9s

Counts
85 → 85
Iterations

Useful iterations: done (1.8s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune395.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(cbrt (* (cbrt z) (cbrt z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt z)
333.0ms
(cbrt z)
230.0ms
(cbrt z)
447.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify1.7s

Counts
54 → 54
Iterations

Useful iterations: 3 (227.0ms)

IterNodesCost
04211672
18410174
223110057
37619417
426229417
done50029417

prune432.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.5b
(- (* y y) (* x x))
10.9b
(* (- (* y y) (* x x)) z)
17.3b
(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-/r* times-frac associate-*l* associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ difference-of-squares associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 73
Calls
4 calls:
32.0ms
(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
7.0ms
(- (* y y) (* x x))
21.0ms
(* (- (* y y) (* x x)) z)
28.0ms
(/ (* (- (* y y) (* x x)) z) (+ y x))

series292.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
43.0ms
(- (* y y) (* x x))
85.0ms
(* (- (* y y) (* x x)) z)
82.0ms
(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify2.3s

Counts
85 → 85
Iterations

Useful iterations: 2 (569.0ms)

IterNodesCost
012524775
137520401
2248019481
done500019481

prune345.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
18123
done8123

end0.0ms

sample712.0ms

Algorithm
intervals
Results
344.0ms10111×body80valid