Details

Time bar (total: 20.5s)

sample50.0ms

Algorithm
intervals
Results
21.0ms496×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
94506
83719
72357
6930
5420
4303
3156
249
119
011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.2b
(* (* y 4.0) (- (* z z) t))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in *-un-lft-identity distribute-lft-in associate-*r* add-cube-cbrt associate--r+
3×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
7.0ms
(- (* z z) t)
8.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
32.0ms
(* (* y 4.0) (- (* z z) t))

series206.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- (* z z) t)
106.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
74.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.2s

Counts
63 → 63
Iterations
IterNodes
done5000
21066
1311
0103

prune367.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* (* 4.0 y) z) z))
0.2b
(* (* (* 4.0 y) z) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 33
Calls
2 calls:
9.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
50.0ms
(* (* (* 4.0 y) z) z)

series160.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
51.0ms
(* (* (* 4.0 y) z) z)

simplify3.8s

Counts
39 → 39
Iterations
IterNodes
done5013
34738
2825
1220
076

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

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)

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:
18.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
365.0ms
(* (cbrt z) (cbrt z))
285.0ms
(cbrt z)
255.0ms
(cbrt z)
323.0ms
(cbrt z)

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5028
43114
3971
2377
1136
061

prune613.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.7b
(cbrt (cbrt z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))

series1.5s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt z)
243.0ms
(cbrt z)
677.0ms
(cbrt (* (cbrt z) (cbrt z)))
358.0ms
(cbrt (cbrt z))

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5001
41559
3619
2263
1112
058

prune401.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes982.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
979.0ms15655×body80valid