Details

Time bar (total: 14.8s)

sample44.0ms

Algorithm
intervals
Results
13.0ms258×body80valid
10.0ms258×body80nan

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
83880
71171
6415
5191
483
341
225
114
07

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) z)
0.0b
(- (- (* x (log y)) z) y)
0.3b
(* x (log y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-cbrt-cube add-exp-log
4×diff-log associate-*r*
3×sub-neg associate-*l*
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(- (* x (log y)) z)
41.0ms
(- (- (* x (log y)) z) y)
18.0ms
(* x (log y))

series167.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* x (log y)) z)
47.0ms
(- (- (* x (log y)) z) y)
60.0ms
(* x (log y))

simplify1.8s

Counts
76 → 76
Iterations
IterNodes
done5002
33841
2726
1273
0125

prune271.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt y))
0.0b
(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z) y)
0.3b
(* (log (sqrt y)) x)
0.3b
(* (log (sqrt y)) x)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity
14×pow1
13×add-log-exp
12×associate-*l*
10×add-cube-cbrt
9×add-exp-log log-pow
8×add-cbrt-cube
6×log-prod associate-*r*
5×diff-log
4×associate--l+
3×sqrt-pow1 pow1/2 sqrt-prod distribute-lft-out--
2×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×associate--l- sum-log flip3-- rem-log-exp flip-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
2.0ms
(log (sqrt y))
158.0ms
(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z) y)
8.0ms
(* (log (sqrt y)) x)
11.0ms
(* (log (sqrt y)) x)

series466.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(log (sqrt y))
100.0ms
(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z) y)
121.0ms
(* (log (sqrt y)) x)
160.0ms
(* (log (sqrt y)) x)

simplify436.0ms

Counts
92 → 92
Iterations
IterNodes
done5000
21090
1295
0132

prune453.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite13.0ms

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:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt y) (cbrt y))
254.0ms
(cbrt y)
249.0ms
(cbrt y)
271.0ms
(cbrt y)

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune567.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (log (sqrt y)))) (cbrt (* x (log (sqrt y)))))
0.6b
(cbrt (* x (log (sqrt y))))
0.6b
(cbrt (* x (log (sqrt y))))
0.6b
(cbrt (* x (log (sqrt y))))

rewrite32.0ms

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:
16.0ms
(* (cbrt (* x (log (sqrt y)))) (cbrt (* x (log (sqrt y)))))
4.0ms
(cbrt (* x (log (sqrt y))))
4.0ms
(cbrt (* x (log (sqrt y))))
5.0ms
(cbrt (* x (log (sqrt y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
503.0ms
(* (cbrt (* x (log (sqrt y)))) (cbrt (* x (log (sqrt y)))))
348.0ms
(cbrt (* x (log (sqrt y))))
361.0ms
(cbrt (* x (log (sqrt y))))
336.0ms
(cbrt (* x (log (sqrt y))))

simplify778.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
22827
1580
0193

prune522.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes183.0ms

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
done10
110
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
710.0ms8021×body80valid
361.0ms7787×body80nan
1.0ms2×body1280valid
1.0ms1×body2560valid