Details

Time bar (total: 11.3s)

sample27.0ms

Algorithm
intervals
Results
13.0ms281×body80valid

simplify145.0ms

Counts
1 → 1
Iterations
IterNodes
done162
11162
10160
9154
8150
7139
6129
5109
481
354
229
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) (- t z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
17.0ms
(* x (- y z))
17.0ms
(/ (* x (- y z)) (- t z))

series137.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
94.0ms
(/ (* x (- y z)) (- t z))

simplify1.1s

Counts
61 → 61
Iterations
IterNodes
done5000
21113
1280
0105

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.4b
(* x (/ (- y z) (- t z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
22.0ms
(/ (- y z) (- t z))
45.0ms
(* x (/ (- y z) (- t z)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- y z) (- t z))
101.0ms
(* x (/ (- y z) (- t z)))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done5000
21516
1374
0138

prune477.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.6b
(/ x (/ (- t z) (- y z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
22.0ms
(/ (- t z) (- y z))
24.0ms
(/ x (/ (- t z) (- y z)))

series260.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- t z) (- y z))
192.0ms
(/ x (/ (- t z) (- y z)))

simplify1.5s

Counts
200 → 200
Iterations
IterNodes
done5001
23799
1732
0270

prune936.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
1.8b
(* (cbrt x) (/ (- y z) (- t z)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*r*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*l*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×pow1/3 associate-/r/ *-commutative
1×flip3-- div-inv flip--
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
64.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
60.0ms
(* (cbrt x) (/ (- y z) (- t z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt x)
702.0ms
(cbrt x)
105.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
211.0ms
(* (cbrt x) (/ (- y z) (- t z)))

simplify1.9s

Counts
116 → 116
Iterations
IterNodes
done5001
22639
1415
0149

prune464.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes408.0ms

Accuracy

-11% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.3b

bsearch90.0ms

Steps
ItersRangePoint
11
2.8080800529117657e-260
6.383344988468356e-236
5.862038722875421e-249
7
-1.8236516507406991e+40
-5.2611647822735625e+38
-8.21599116430926e+38

simplify3.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample625.0ms

Algorithm
intervals
Results
366.0ms8745×body80valid