Details

Time bar (total: 19.9s)

sample43.0ms

Algorithm
intervals
Results
17.0ms300×body80valid

simplify1.2s

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize13.0ms

Local error

Found 1 expressions with local error:

8.2b
(/ (* x y) z)

rewrite15.0ms

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:
14.0ms
(/ (* x y) z)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (* x y) z)

simplify789.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
70.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt z)
267.0ms
(cbrt z)
265.0ms
(cbrt z)
86.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.8s

Counts
112 → 112
Iterations
IterNodes
done5000
23103
1455
0144

prune727.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* (* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y)) (cbrt y))
1.9b
(* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
260×times-frac
181×add-sqr-sqrt
149×cbrt-prod
137×associate-*l*
133×*-un-lft-identity add-cube-cbrt
27×add-exp-log
14×unswap-sqr
12×associate-*r*
11×pow1 add-cbrt-cube
10×prod-exp cbrt-unprod
7×div-inv
6×cbrt-undiv div-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative
Counts
4 → 228
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
134.0ms
(* (* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y)) (cbrt y))
88.0ms
(* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y))

series898.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt y)
304.0ms
(cbrt y)
151.0ms
(* (* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y)) (cbrt y))
154.0ms
(* (/ (/ x (cbrt z)) (cbrt z)) (cbrt y))

simplify2.4s

Counts
240 → 240
Iterations
IterNodes
done5000
23427
1789
0293

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
3.4b
(* (/ x (* (cbrt z) (cbrt z))) y)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
36×prod-exp
35×add-cbrt-cube
26×add-sqr-sqrt
25×associate-*r*
22×*-un-lft-identity times-frac add-cube-cbrt
20×cbrt-unprod
18×div-exp
15×cbrt-prod
11×pow1
10×cbrt-undiv
8×associate-*l*
4×expm1-log1p-u rec-exp 1-exp pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×pow1/3 *-commutative div-inv unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
97.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
43.0ms
(* (/ x (* (cbrt z) (cbrt z))) y)

series1.0s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt z)
305.0ms
(cbrt z)
80.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
300.0ms
(* (/ x (* (cbrt z) (cbrt z))) y)

simplify4.9s

Counts
131 → 131
Iterations
IterNodes
done5000
24250
1579
0188

prune712.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes520.0ms

Accuracy

45.6% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 4.3b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done26
126
021

end0.0ms

sample1.1s

Algorithm
intervals
Results
579.0ms9539×body80valid