Details

Time bar (total: 11.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
12.0ms
(- x (/ 1.0 3.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- x (/ 1.0 3.0))

simplify1.4s

Counts
18 → 18
Iterations
IterNodes
done5000
41468
3467
2184
182
038

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
8.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
94.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- x (/ 1.0 3.0)))
173.0ms
(cbrt (- x (/ 1.0 3.0)))
136.0ms
(cbrt (- x (/ 1.0 3.0)))
202.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify962.0ms

Counts
119 → 119
Iterations
IterNodes
done5001
21560
1423
0183

prune636.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
10.2b
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
17.1b
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
17.1b
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
184×cbrt-div
152×frac-times
80×associate-/l/
72×flip3-+ flip-+
60×flip3-- flip--
52×associate-*l/ associate-*r/
26×cbrt-prod *-un-lft-identity
20×add-sqr-sqrt
18×add-exp-log
12×add-cube-cbrt
11×pow1
9×swap-sqr
8×add-cbrt-cube pow1/3 associate-/r/
7×associate-*r* associate-*l*
6×distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus *-commutative div-inv associate-/l*
Counts
4 → 196
Calls
4 calls:
111.0ms
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
57.0ms
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
18.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
19.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
214.0ms
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
353.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
353.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

simplify1.1s

Counts
208 → 208
Iterations
IterNodes
done5000
11120
0383

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.5b
(exp (cbrt (- x (/ 1.0 3.0))))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
2.2b
(log (exp (cbrt (- x (/ 1.0 3.0)))))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
50×cbrt-prod
38×*-un-lft-identity
18×exp-prod add-cube-cbrt
14×cbrt-div difference-of-squares
12×pow1
11×swap-sqr
10×log-pow
9×associate-*r* associate-*l* distribute-lft-out--
7×times-frac flip3-- pow1/3 flip--
6×add-exp-log
5×add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
3×log-prod
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus rem-log-exp prod-exp *-commutative cbrt-unprod rem-exp-log
Counts
4 → 113
Calls
4 calls:
8.0ms
(cbrt (- x (/ 1.0 3.0)))
48.0ms
(exp (cbrt (- x (/ 1.0 3.0))))
103.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
32.0ms
(log (exp (cbrt (- x (/ 1.0 3.0)))))

series754.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- x (/ 1.0 3.0)))
249.0ms
(exp (cbrt (- x (/ 1.0 3.0))))
205.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
161.0ms
(log (exp (cbrt (- x (/ 1.0 3.0)))))

simplify1.5s

Counts
125 → 125
Iterations
IterNodes
done5000
22383
1613
0257

prune627.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample413.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid