Details

Time bar (total: 17.1s)

sample40.0ms

Algorithm
intervals
Results
19.0ms342×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
91929
8769
7500
6391
5317
4249
3162
275
127
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
27.0ms
(* (* z z) (+ z 1.0))
31.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (* z z) (+ z 1.0))
76.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.1s

Counts
61 → 61
Iterations
IterNodes
done5000
22069
1376
0116

prune256.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.2b

localize20.0ms

Local error

Found 2 expressions with local error:

4.8b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.3b
(/ x (* z z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
39.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0ms
(/ x (* z z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
done5001
21939
1474
0154

prune445.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt x) (cbrt x))
257.0ms
(cbrt x)
276.0ms
(cbrt x)
265.0ms
(cbrt x)

simplify3.1s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune491.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
6.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
368.0ms
(cbrt (cbrt x))
331.0ms
(cbrt (cbrt x))
322.0ms
(cbrt (cbrt x))
340.0ms
(cbrt (cbrt x))

simplify2.4s

Counts
76 → 76
Iterations
IterNodes
done5001
52030
4517
3210
2103
157
036

prune501.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes342.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
902.0ms10712×body80valid