Details

Time bar (total: 13.8s)

sample30.0ms

Algorithm
intervals
Results
15.0ms299×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5001
41017
3146
242
116
08

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (* x y) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ (* x y) z)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* x y) z)

simplify728.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune156.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (* x y) (/ 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*l* associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
22.0ms
(* (* x y) (/ 1 z))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (* x y) (/ 1 z))

simplify1.6s

Counts
43 → 43
Iterations
IterNodes
done5000
21657
1251
085

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.0b
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
4.0b
(* (/ y (cbrt z)) (/ x (cbrt z)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
75×add-sqr-sqrt
66×times-frac
45×*-un-lft-identity add-cube-cbrt
44×associate-*r*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*l*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*l/
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down associate-*r/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
1×un-div-inv
Counts
4 → 174
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
68.0ms
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
41.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

series899.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt z)
283.0ms
(cbrt z)
71.0ms
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
240.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

simplify893.0ms

Counts
186 → 186
Iterations
IterNodes
done5000
1855
0257

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
1.3b
(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
2.1b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
700×add-exp-log
383×prod-exp
256×div-exp
167×add-cbrt-cube
132×cbrt-unprod
110×add-sqr-sqrt
97×times-frac
86×cbrt-undiv
76×1-exp
74×cbrt-prod
58×*-un-lft-identity add-cube-cbrt
48×associate-*l*
45×associate-*r*
26×rec-exp
23×frac-times
20×pow1
17×associate-*l/ associate-*r/
15×unswap-sqr
10×pow-prod-down
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×*-commutative
1×pow1/3 un-div-inv
Counts
4 → 367
Calls
4 calls:
1.0ms
(cbrt y)
275.0ms
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
55.0ms
(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
57.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

series676.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt y)
25.0ms
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
234.0ms
(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
186.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

simplify2.1s

Counts
379 → 379
Iterations
IterNodes
done5001
11977
0504

prune1.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes609.0ms

Accuracy

86.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.9b

bsearch2.0ms

simplify12.0ms

Iterations
IterNodes
done38
338
235
132
024

end0.0ms

sample982.0ms

Algorithm
intervals
Results
563.0ms9593×body80valid