Details

Time bar (total: 16.7s)

sample50.0ms

Algorithm
intervals
Results
21.0ms346×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite53.0ms

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:
25.0ms
(* (* z z) (+ z 1.0))
26.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* z z) (+ z 1.0))
85.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.6s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune277.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.2b
(/ x (* z z))

rewrite62.0ms

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:
50.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0ms
(/ x (* z z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify2.5s

Counts
84 → 84
Iterations
IterNodes
done5002
23686
1494
0154

prune383.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
96.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt x)
208.0ms
(cbrt x)
244.0ms
(cbrt x)
111.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.9s

Counts
108 → 108
Iterations
IterNodes
done5002
23348
1565
0165

prune529.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
7.7b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
7.7b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
7.7b
(cbrt (/ (* (cbrt x) (cbrt x)) z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt x)
280.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
217.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
273.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
done5001
31277
2340
1126
071

prune540.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes639.0ms

Accuracy

0% (1.2b 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

sample1.1s

Algorithm
intervals
Results
572.0ms10762×body80valid